math.cube on complex, imaginary part

Time bar (total: 8.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 22 to 12 computations (45.5% saved)

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

sample1.1s (12.4%)

Results
881.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 623.0ms
ival-mult: 369.0ms (59.2% of total)
ival-add: 126.0ms (20.2% of total)
ival-sub: 119.0ms (19.1% of total)
const: 7.0ms (1.1% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess134.0ms (1.5%)

Algorithm
egg-herbie
Rules
914×unsub-neg
606×fma-define
419×sub-neg
392×distribute-lft-out
383×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042563
1136491
2368483
31517309
44607301
56832301
67668301
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re)))
(+.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.re x.im)) x.im))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re)))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im) (*.f64 x.re (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re (neg.f64 x.im))) (*.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))
(fma.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -2 binary64))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.re (neg.f64 x.im))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im) (*.f64 x.re (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re (neg.f64 x.im))) (*.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))
(fma.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -2 binary64))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.re (neg.f64 x.im))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(neg.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) x.re)))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.re x.im)) x.im))
(fma.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 2 binary64) x.re)))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
Symmetry

(abs x.re)

(negabs x.im)

explain109.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
210-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
170-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
00-0-x.im
00-0-x.re
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 x.re x.re)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.im)
Results
61.0ms512×0valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 21.0ms (72.5% of total)
ival-add: 5.0ms (17.3% of total)
ival-sub: 3.0ms (10.4% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 73 to 25 computations (65.8% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
81.6%
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
86.2%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
86.2%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
80.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 168 to 92 computations (45.2% saved)

simplify86.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff6400
(fma.f64 x.re x.im (*.f64 x.re x.im))
cost-diff6400
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
cost-diff6720
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 x.im #s(literal 2 binary64))
cost-diff320
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
cost-diff0
(*.f64 x.re #s(literal 3 binary64))
cost-diff0
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
cost-diff0
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
cost-diff0
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(*.f64 x.re (*.f64 x.re x.im))
cost-diff0
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
Rules
849×fma-neg
659×sub-neg
431×associate-+l-
348×unsub-neg
338×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034851
176811
2142805
3270805
4621805
51703805
62887805
76509805
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.re x.im))
x.re
(*.f64 x.re x.im)
x.im
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
x.re
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
x.im
(*.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
x.re
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 x.re x.im)
Outputs
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 x.re (*.f64 x.re x.im))
(*.f64 x.im (*.f64 x.re x.re))
x.re
(*.f64 x.re x.im)
x.im
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
x.re
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
x.im
(*.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
x.re
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)

localize129.0ms (1.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x.re x.im (*.f64 x.re x.im))
accuracy99.8%
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
accuracy94.0%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy84.0%
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
accuracy100.0%
(*.f64 x.im #s(literal 2 binary64))
accuracy94.0%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy92.5%
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
accuracy92.1%
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
accuracy100.0%
(pow.f64 x.im #s(literal 3 binary64))
accuracy99.7%
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
accuracy99.7%
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
accuracy87.4%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy94.0%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy92.1%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy91.7%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy100.0%
(pow.f64 x.im #s(literal 3 binary64))
accuracy99.8%
(*.f64 x.re (*.f64 x.re x.im))
accuracy99.7%
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
accuracy87.4%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
Results
87.0ms256×0valid
Compiler

Compiled 230 to 29 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 26.0ms (57.2% of total)
ival-fma: 8.0ms (17.6% of total)
ival-pow: 5.0ms (11% of total)
ival-sub: 3.0ms (6.6% of total)
ival-add: 3.0ms (6.6% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series51.0ms (0.6%)

Counts
21 → 444
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))>
#<alt (*.f64 x.re (*.f64 x.re x.im))>
#<alt (*.f64 x.re x.im)>
#<alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)>
#<alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))>
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))>
#<alt (*.f64 x.re x.re)>
#<alt (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re #s(literal 3 binary64))>
#<alt (fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))>
#<alt (*.f64 x.im #s(literal 2 binary64))>
#<alt (fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))>
#<alt (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))>
#<alt (fma.f64 x.re x.im (*.f64 x.re x.im))>
#<alt (pow.f64 x.im #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))>
#<alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)>
#<alt (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
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#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
Calls

114 calls:

TimeVariablePointExpression
3.0ms
x.re
@0
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re (+ (* x.re x.im) (* x.re x.im))))
2.0ms
x.im
@inf
(* x.re x.im)
1.0ms
x.im
@-inf
(- (* x.re (* x.im (* x.re 3))) (pow x.im 3))
1.0ms
x.re
@0
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))
1.0ms
x.im
@0
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))

rewrite491.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
913×log1p-expm1-u
250×associate-*r*
212×expm1-log1p-u
206×add-exp-log
205×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034629
1624513
26677513
Stop Event
node limit
Counts
21 → 600
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 3 binary64))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 x.im #s(literal 2 binary64))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(pow.f64 x.im #s(literal 3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
Outputs
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (+.f64 (*.f64 (*.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))) (-.f64 (*.f64 (*.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) x.im) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
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(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify144.0ms (1.6%)

Algorithm
egg-herbie
Rules
141×*-commutative
59×+-commutative
38×sub-neg
36×fma-undefine
35×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07984744
126854744
Stop Event
unsound
Counts
1044 → 443
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
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(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
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(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
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(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
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(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
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(*.f64 x.im x.re)
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(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
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(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -3 binary64)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -3 binary64)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -3 binary64)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(+.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.re #s(literal -3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(+.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.re #s(literal -3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(+.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.re #s(literal -3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(+.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.re #s(literal -3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(+.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.re #s(literal -3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(+.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.re #s(literal -3 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
#s(literal -3 binary64)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
#s(literal -3 binary64)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
#s(literal -3 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(literal -3 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -3 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
#s(literal -3 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
#s(literal -3 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
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(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
#s(literal -3 binary64)
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(literal -3 binary64)
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal -3 binary64)
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
#s(literal -3 binary64)
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
#s(literal -3 binary64)
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
#s(literal -3 binary64)
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
#s(literal -3 binary64)
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
#s(literal -3 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(literal -3 binary64)

eval115.0ms (1.3%)

Compiler

Compiled 13279 to 1826 computations (86.2% saved)

prune157.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New63910649
Fresh000
Picked325
Done000
Total64212654
Accuracy
100.0%
Counts
654 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))))
86.2%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
86.0%
(-.f64 (*.f64 x.re (pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
86.2%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
86.1%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
80.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
84.0%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
51.7%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
51.7%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
56.2%
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
11.8%
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
2.7%
#s(literal -3 binary64)
Compiler

Compiled 280 to 176 computations (37.1% saved)

simplify76.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x.im)
cost-diff0
(pow.f64 x.re #s(literal 2 binary64))
cost-diff128
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
cost-diff128
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
cost-diff0
(pow.f64 x.im #s(literal 9 binary64))
cost-diff0
(-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
cost-diff64
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(+.f64 x.re x.im)
cost-diff0
(-.f64 x.re x.im)
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff-6336
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
(pow.f64 x.im #s(literal 3 binary64))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
Rules
750×fma-define
665×sub-neg
448×associate-+l-
409×distribute-lft-out
398×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032479
182447
2209444
3463444
41194435
52850435
66406435
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
x.re
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
#s(literal 3 binary64)
(*.f64 x.im x.re)
x.im
(pow.f64 x.im #s(literal 3 binary64))
#s(literal -3 binary64)
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
(-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
#s(literal -3 binary64)
(pow.f64 x.im #s(literal 9 binary64))
x.im
#s(literal 9 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
x.im
(*.f64 #s(literal 2 binary64) x.im)
Outputs
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
x.re
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
#s(literal 3 binary64)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
x.im
(pow.f64 x.im #s(literal 3 binary64))
#s(literal -3 binary64)
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
(+.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
#s(literal -3 binary64)
(pow.f64 x.im #s(literal 9 binary64))
x.im
#s(literal 9 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
x.im
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal 2 binary64))

localize161.0ms (1.8%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x.re #s(literal 2 binary64))
accuracy100.0%
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x.im)
accuracy88.3%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
accuracy100.0%
(pow.f64 x.im #s(literal 9 binary64))
accuracy100.0%
(-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
accuracy100.0%
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
accuracy100.0%
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy92.1%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
accuracy91.7%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy100.0%
(pow.f64 x.im #s(literal 3 binary64))
accuracy99.7%
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
accuracy87.4%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
Results
129.0ms256×0valid
Compiler

Compiled 141 to 27 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 79.0ms (78.5% of total)
ival-pow: 11.0ms (10.9% of total)
ival-add: 5.0ms (5% of total)
ival-sub: 4.0ms (4% of total)
const: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
15 → 189
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.im x.re)>
#<alt (-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 x.re x.im)>
#<alt (+.f64 x.re x.im)>
#<alt (neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))>
#<alt (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64)))>
#<alt (pow.f64 x.im #s(literal 9 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))>
#<alt (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
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#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
x.im
@0
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.re
@-inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.im
@inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.im
@inf
(neg (- -3 (pow x.im 9)))
1.0ms
x.re
@inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite212.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
275×associate-*r*
247×log1p-expm1-u
247×expm1-log1p-u
243×add-cube-cbrt
238×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032348
1562305
Stop Event
node limit
Counts
15 → 465
Calls
Call 1
Inputs
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 x.im x.re)
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 x.re x.im)
(+.f64 x.re x.im)
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
(-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(pow.f64 x.im #s(literal 9 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))) x.re) (fma.f64 x.im x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) x.re) (*.f64 x.im #s(literal -1 binary64)))
(pow.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im x.re)))
(exp.f64 (log.f64 (*.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im x.re)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (+.f64 (*.f64 x.re (sqrt.f64 (*.f64 #s(literal 3 binary64) x.im))) (pow.f64 x.im #s(literal 3/2 binary64))) (-.f64 (*.f64 x.re (sqrt.f64 (*.f64 #s(literal 3 binary64) x.im))) (pow.f64 x.im #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64))))) (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x.im))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re (sqrt.f64 (*.f64 #s(literal 3 binary64) x.im))) (*.f64 x.re (sqrt.f64 (*.f64 #s(literal 3 binary64) x.im))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 x.re (neg.f64 x.im))
(+.f64 x.re (*.f64 (neg.f64 x.im) #s(literal 1 binary64)))
(+.f64 (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) #s(literal 1 binary64) x.im))
(+.f64 (-.f64 x.re x.im) (fma.f64 (neg.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.im))
(+.f64 (-.f64 x.re x.im) (fma.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im) x.im))
(+.f64 (neg.f64 x.im) x.re)
(*.f64 (-.f64 x.re x.im) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (-.f64 x.re x.im))
(*.f64 (cbrt.f64 (-.f64 x.re x.im)) (cbrt.f64 (pow.f64 (-.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x.re x.im) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x.re x.im)))
(*.f64 (sqrt.f64 (-.f64 x.re x.im)) (sqrt.f64 (-.f64 x.re x.im)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re)))))
(*.f64 (+.f64 (sqrt.f64 x.re) (sqrt.f64 x.im)) (-.f64 (sqrt.f64 x.re) (sqrt.f64 x.im)))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 x.im (-.f64 x.im x.re))))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 x.re x.im))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 x.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (+.f64 x.im x.re))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify305.0ms (3.5%)

Algorithm
egg-herbie
Rules
182×*-commutative
98×+-commutative
62×sub-neg
46×fma-undefine
37×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095121845
1271521845
Stop Event
unsound
Counts
654 → 593
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) x.im)
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
x.re
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
x.im
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
x.re
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.im
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
#s(literal 3 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(+.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(pow.f64 x.im #s(literal 9 binary64))
(pow.f64 x.im #s(literal 9 binary64))
(*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64))))))
(pow.f64 x.im #s(literal 9 binary64))
(pow.f64 x.im #s(literal 9 binary64))
(*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64))))))
#s(literal -3 binary64)
#s(literal -3 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 9 binary64))) #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 9 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64)))))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 9 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 9 binary64)))))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (+.f64 x.im x.re))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal -3 binary64))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal -3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal -3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal -3 binary64))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal -3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (neg.f64 x.re) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(pow.f64 (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(pow.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(pow.f64 (sqrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(cbrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(expm1.f64 (log1p.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(expm1.f64 (log1p.f64 (fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(exp.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re #s(literal -1 binary64) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) (neg.f64 x.re))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re #s(literal -1 binary64) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x.re) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (cbrt.f64 x.re)) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (neg.f64 x.re))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x.re)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x.re)) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (neg.f64 x.re))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))))
(*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im))
(*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal -3 binary64))) (/.f64 (*.f64 x.im (+.f64 x.im x.re)) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.im x.re))) (+.f64 x.im x.re))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im (+.f64 x.im x.re)) (+.f64 x.im x.re)))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 x.im) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))

eval98.0ms (1.1%)

Compiler

Compiled 14566 to 2519 computations (82.7% saved)

prune369.0ms (4.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New7507757
Fresh145
Picked325
Done022
Total75415769
Accuracy
100.0%
Counts
769 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))))
86.2%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
86.2%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
86.1%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
80.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
83.2%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
81.7%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
80.5%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (cbrt.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
68.1%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
51.7%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
51.7%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
56.2%
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
2.8%
#s(literal 3 binary64)
2.7%
#s(literal -1 binary64)
2.7%
#s(literal -3 binary64)
Compiler

Compiled 372 to 223 computations (40.1% saved)

simplify84.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x.im #s(literal 3 binary64))
cost-diff64
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 #s(literal 2 binary64) x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff128
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
cost-diff128
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
cost-diff256
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
cost-diff256
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
Rules
794×fma-neg
575×times-frac
527×distribute-lft-in
487×distribute-rgt-in
443×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034769
197721
2249704
3742558
42317558
55455558
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
#s(literal 1 binary64)
(/.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(literal -1 binary64)
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.re x.re)
x.re
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
x.im
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re)) (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(*.f64 (fma.f64 x.re (/.f64 x.im x.re) x.re) (*.f64 x.im (-.f64 x.re x.im)))
(-.f64 (*.f64 x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re))
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
(+.f64 x.re x.im)
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
#s(literal 1 binary64)
(/.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(literal -1 binary64)
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.re x.re)
x.re
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 x.im #s(literal 3 binary64))
x.im
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re)) (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(*.f64 (fma.f64 x.re (/.f64 x.im x.re) x.re) (*.f64 x.im (-.f64 x.re x.im)))
(-.f64 (*.f64 x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re))
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)

localize114.0ms (1.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
accuracy100.0%
(pow.f64 x.im #s(literal 3 binary64))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy94.0%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy92.1%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy91.7%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
accuracy100.0%
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
accuracy100.0%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x.im)
accuracy88.3%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy95.3%
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
accuracy92.1%
(*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
accuracy91.7%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
75.0ms256×0valid
Compiler

Compiled 185 to 30 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 23.0ms (58.8% of total)
ival-add: 6.0ms (15.3% of total)
ival-pow: 4.0ms (10.2% of total)
ival-sub: 3.0ms (7.7% of total)
ival-div: 2.0ms (5.1% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series99.0ms (1.1%)

Counts
10 → 201
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 x.im x.im)>
#<alt (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))>
#<alt (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)>
#<alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt x.im>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt x.re>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt x.im>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt x.im>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
Calls

54 calls:

TimeVariablePointExpression
79.0ms
x.im
@-inf
(* (* x.re x.im) 2)
1.0ms
x.im
@0
(* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re))))
1.0ms
x.re
@-inf
(* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re))))
1.0ms
x.im
@inf
(* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re))))
1.0ms
x.re
@inf
(* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re))))

rewrite208.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
328×associate-*r*
279×log1p-expm1-u
279×expm1-log1p-u
270×add-exp-log
268×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034380
1633320
Stop Event
node limit
Counts
10 → 258
Calls
Call 1
Inputs
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.im x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(+.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (-.f64 x.re x.im) (*.f64 (/.f64 x.im x.re) x.re)))
(+.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (/.f64 x.im x.re))))
(+.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (/.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)))
(+.f64 (*.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re) (*.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (neg.f64 x.im)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (/.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (/.f64 x.im x.re)) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (*.f64 (/.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(+.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (/.f64 x.im x.re)) (-.f64 x.re x.im)))
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (*.f64 (neg.f64 x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(+.f64 (*.f64 (/.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (-.f64 x.re x.im) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (-.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (-.f64 x.re x.im) x.re)) (log1p.f64 (/.f64 x.im x.re))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (-.f64 x.re x.im) x.re)) (log1p.f64 (/.f64 x.im x.re))) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 x.re (/.f64 x.im x.re)))
(+.f64 x.re (*.f64 (/.f64 x.im x.re) x.re))
(+.f64 x.re (*.f64 (*.f64 (/.f64 x.im x.re) x.re) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 (*.f64 x.re (/.f64 x.im x.re)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (/.f64 x.im x.re)) x.re)
(+.f64 (*.f64 (/.f64 x.im x.re) x.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x.im x.re) x.re) (*.f64 (/.f64 x.im x.re) x.re)) (*.f64 x.re (*.f64 (/.f64 x.im x.re) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.re (/.f64 x.im x.re)) (*.f64 x.re (/.f64 x.im x.re))) (*.f64 x.re (*.f64 x.re (/.f64 x.im x.re))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x.im x.re) x.re) (*.f64 (/.f64 x.im x.re) x.re))) (-.f64 x.re (*.f64 (/.f64 x.im x.re) x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 x.im x.re)) (*.f64 x.re (/.f64 x.im x.re)))) (-.f64 x.re (*.f64 x.re (/.f64 x.im x.re))))
(pow.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 x.im x.re)) (log.f64 x.re)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x.im x.re)) (log.f64 x.re)) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal 1 binary64) (*.f64 x.re (/.f64 x.im x.re)))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 (/.f64 x.im x.re) x.re))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (*.f64 (/.f64 x.im x.re) x.re))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (/.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))
(+.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) #s(literal 1 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (-.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x.re #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
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(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))

simplify282.0ms (3.2%)

Algorithm
egg-herbie
Rules
118×*-commutative
85×+-commutative
54×fma-define
40×sub-neg
32×fma-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068417629
1224317629
Stop Event
unsound
Counts
459 → 416
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
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(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 x.re x.im) (*.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.im) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(fma.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal -3 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal -3 binary64)) (*.f64 x.im x.re))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (+.f64 x.im (-.f64 x.re x.im))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (fma.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (-.f64 (*.f64 x.re #s(literal -3 binary64)) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64)) (*.f64 x.re #s(literal -3 binary64))) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal -3 binary64))) (*.f64 x.re #s(literal -3 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (-.f64 (*.f64 x.re #s(literal -3 binary64)) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64)) (*.f64 x.re #s(literal -3 binary64)))) (neg.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal -3 binary64))) (*.f64 x.re #s(literal -3 binary64)))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (fma.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64))) (-.f64 (+.f64 (*.f64 x.re #s(literal -3 binary64)) (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64))) (*.f64 x.re (*.f64 #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 x.re #s(literal -3 binary64)) (pow.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) #s(literal -3 binary64))) (-.f64 (*.f64 x.re #s(literal -3 binary64)) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 3 binary64))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 2 binary64))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(expm1.f64 (log1p.f64 (fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal -3 binary64))) (*.f64 x.re #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))) (*.f64 x.re #s(literal -3 binary64)))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal -3 binary64)) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal -3 binary64))) (*.f64 x.re #s(literal -3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))) #s(literal -3 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))) (*.f64 x.re #s(literal -3 binary64)))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal -3 binary64))) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64)))) (*.f64 x.re #s(literal -3 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.re)) #s(literal -3 binary64)) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) x.im (pow.f64 x.im #s(literal -3 binary64))))

eval147.0ms (1.7%)

Compiler

Compiled 15829 to 2275 computations (85.6% saved)

prune153.0ms (1.7%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New7328740
Fresh066
Picked325
Done044
Total73520755
Accuracy
100.0%
Counts
755 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))))
86.2%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
86.2%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
86.1%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
80.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
64.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
50.0%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
83.2%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
81.7%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
80.5%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (cbrt.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
68.1%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
42.3%
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
51.7%
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
51.7%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
25.3%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
51.7%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
56.2%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
2.8%
#s(literal 3 binary64)
2.7%
#s(literal -1 binary64)
2.7%
#s(literal -3 binary64)
Compiler

Compiled 490 to 295 computations (39.8% saved)

simplify61.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x.im #s(literal 3 binary64))
cost-diff0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) x.re)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff-6208
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
cost-diff0
(*.f64 x.re #s(literal -3 binary64))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
cost-diff0
(-.f64 x.re x.im)
cost-diff256
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
cost-diff256
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
Rules
930×fma-neg
568×times-frac
522×distribute-lft-in
514×unsub-neg
483×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033788
184783
2199763
3612622
42117622
55333622
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
#s(literal 1 binary64)
(/.f64 x.im x.re)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
#s(literal 3 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 x.re #s(literal -3 binary64))
#s(literal -3 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.im x.re) x.re)
(*.f64 x.im x.re)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re)) (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 2 binary64) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 x.im (fma.f64 x.re x.re (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(*.f64 (-.f64 x.re x.im) (*.f64 x.im (fma.f64 x.re (/.f64 x.im x.re) x.re)))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
(+.f64 x.re x.im)
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
#s(literal 1 binary64)
(/.f64 x.im x.re)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) x.im)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
#s(literal 3 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re #s(literal -3 binary64)))
(fma.f64 x.re #s(literal -3 binary64) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re #s(literal -3 binary64) (-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.re (+.f64 #s(literal -3 binary64) (*.f64 x.re x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (+.f64 (*.f64 x.re x.im) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(*.f64 (-.f64 x.re x.im) (*.f64 x.im (fma.f64 x.re (/.f64 x.im x.re) x.re)))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 x.re #s(literal -3 binary64))
#s(literal -3 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (*.f64 x.re x.im)))
(*.f64 x.im (+.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (*.f64 x.re x.re)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(*.f64 (-.f64 x.re x.im) (*.f64 x.im (fma.f64 x.re (/.f64 x.im x.re) x.re)))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.im x.re) x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.im x.re) x.re)
(*.f64 x.re (*.f64 x.re x.im))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)

localize171.0ms (1.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy100.0%
(pow.f64 x.im #s(literal 3 binary64))
accuracy99.8%
(*.f64 (*.f64 x.im x.re) x.re)
accuracy94.0%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy92.1%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy91.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
accuracy100.0%
(*.f64 x.im x.im)
accuracy99.9%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
accuracy94.0%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy92.1%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy95.3%
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
accuracy92.1%
(*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
accuracy91.7%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Results
127.0ms242×0valid
4.0ms1valid
3.0ms2valid
3.0ms3valid
Compiler

Compiled 183 to 28 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 50.0ms (50.2% of total)
ival-div: 33.0ms (33.1% of total)
ival-pow: 5.0ms (5% of total)
ival-add: 5.0ms (5% of total)
ival-sub: 3.0ms (3% of total)
const: 1.0ms (1% of total)
backward-pass: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)

series50.0ms (0.6%)

Counts
7 → 135
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))>
#<alt (*.f64 x.re #s(literal -3 binary64))>
#<alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))>
#<alt (*.f64 (*.f64 x.im x.re) x.re)>
#<alt (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (/.f64 x.im x.re)>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))>
#<alt (/.f64 x.im x.re)>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))>
#<alt (/.f64 x.im x.re)>
#<alt (/.f64 (+.f64 x.im x.re) x.re)>
#<alt (/.f64 (+.f64 x.im x.re) x.re)>
#<alt (/.f64 (+.f64 x.im x.re) x.re)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (-.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (-.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
Calls

36 calls:

TimeVariablePointExpression
39.0ms
x.im
@0
(+ 1 (/ x.im x.re))
0.0ms
x.re
@inf
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re -3))
0.0ms
x.re
@0
(* x.re -3)
0.0ms
x.im
@-inf
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re -3))
0.0ms
x.im
@inf
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re -3))

rewrite226.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
286×associate-*r*
252×log1p-expm1-u
252×expm1-log1p-u
248×add-cube-cbrt
244×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033245
1569233
Stop Event
node limit
Counts
7 → 216
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(*.f64 x.re #s(literal -3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) x.re)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (/.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(exp.f64 (log1p.f64 (/.f64 x.im x.re)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 x.im x.re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x.im x.re) #s(literal 1 binary64))
(fma.f64 x.im (/.f64 #s(literal 1 binary64) x.re) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im x.re)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x.im x.re)) (sqrt.f64 (/.f64 x.im x.re)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal -3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.re #s(literal -3 binary64))))
(exp.f64 (log.f64 (*.f64 x.re #s(literal -3 binary64))))
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(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im (-.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (*.f64 x.im (-.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 x.im x.re) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.re) x.re (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x.im) x.re) (*.f64 (sqrt.f64 x.im) x.re) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))

simplify371.0ms (4.2%)

Algorithm
egg-herbie
Rules
675×fma-neg
384×fma-define
376×associate-*l*
373×associate-*r*
243×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058117863
1144816364
2563616135
Stop Event
node limit
Counts
351 → 343
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 x.im x.re)
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(/.f64 x.im x.re)
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(/.f64 x.im x.re)
(/.f64 (+.f64 x.im x.re) x.re)
(/.f64 (+.f64 x.im x.re) x.re)
(/.f64 (+.f64 x.im x.re) x.re)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (-.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (-.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 #s(literal -3 binary64) x.re)
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))))))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 x.im x.re) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.re) x.re (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x.im) x.re) (*.f64 (sqrt.f64 x.im) x.re) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
Outputs
#s(literal 1 binary64)
(/.f64 x.im x.re)
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(/.f64 x.im x.re)
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(/.f64 x.im x.re)
(/.f64 (+.f64 x.im x.re) x.re)
(/.f64 (+.f64 x.im x.re) x.re)
(/.f64 (+.f64 x.im x.re) x.re)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (-.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64))))
(fma.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (-.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64))))
(fma.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (/.f64 #s(literal 3 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 #s(literal -3 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (-.f64 (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (-.f64 (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) x.re)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (/.f64 #s(literal 3 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 #s(literal -3 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re #s(literal -3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) x.re (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64))))
(fma.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64))))
(fma.f64 x.re (fma.f64 x.im x.re #s(literal -3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
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(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.im x.re) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im x.re) x.re (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x.im) x.re) (*.f64 (sqrt.f64 x.im) x.re) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))

eval234.0ms (2.7%)

Compiler

Compiled 18524 to 2651 computations (85.7% saved)

prune427.0ms (4.8%)

Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New8415846
Fresh549
Picked145
Done156
Total84818866
Accuracy
100.0%
Counts
866 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.2%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
86.2%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
80.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
64.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
50.0%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
81.7%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
80.5%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (cbrt.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
59.0%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
68.1%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
51.7%
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
51.7%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
25.3%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
94.7%
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
51.7%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
56.2%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
2.8%
#s(literal 3 binary64)
2.7%
#s(literal -1 binary64)
2.7%
#s(literal -3 binary64)
Compiler

Compiled 687 to 263 computations (61.7% saved)

regimes37.0ms (0.4%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (cbrt.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 3 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re (pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
Outputs
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
Calls

3 calls:

16.0ms
x.im
10.0ms
x.re
9.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.9%2x.re
99.9%2x.im
99.9%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes33.0ms (0.4%)

Counts
29 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
Outputs
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
Calls

2 calls:

22.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
8.0ms
x.re
Results
AccuracySegmentsBranch
99.8%2x.re
99.9%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes28.0ms (0.3%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
Outputs
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
Calls

2 calls:

17.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
8.0ms
x.im
Results
AccuracySegmentsBranch
99.8%2x.im
99.8%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes27.0ms (0.3%)

Counts
27 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
Calls

3 calls:

10.0ms
x.re
8.0ms
x.im
7.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.1%3x.im
99.8%2x.re
99.8%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes10.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im))))
Calls

1 calls:

9.0ms
x.re
Results
AccuracySegmentsBranch
99.7%2x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Calls

2 calls:

4.0ms
x.re
4.0ms
x.im
Results
AccuracySegmentsBranch
76.6%2x.im
78.1%2x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Calls

1 calls:

6.0ms
x.re
Results
AccuracySegmentsBranch
78.1%2x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (neg.f64 x.im)))))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64)))
Calls

2 calls:

4.0ms
x.im
4.0ms
x.re
Results
AccuracySegmentsBranch
76.6%2x.im
75.2%2x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
Outputs
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
Calls

2 calls:

4.0ms
x.im
3.0ms
x.re
Results
AccuracySegmentsBranch
51.7%1x.re
57.8%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
Outputs
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
Calls

2 calls:

2.0ms
x.re
2.0ms
x.im
Results
AccuracySegmentsBranch
25.3%1x.re
25.3%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
Outputs
#s(literal 3 binary64)
Calls

2 calls:

2.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
2.8%1x.re
2.8%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
Outputs
#s(literal -3 binary64)
Calls

2 calls:

2.0ms
x.re
1.0ms
x.im
Results
AccuracySegmentsBranch
2.7%1x.re
2.7%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.804891975328471e+105
2.154898381463845e+107
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.154898381463845e+107
7.226289160434501e+121
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.5681544808621105e-258
-4.370321716087007e-260
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.82478224622921e+304
+inf
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.3076095896571816e-115
4.408179378771325e-110
Results
18.0ms144×0valid
Compiler

Compiled 368 to 231 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 12.0ms (87.7% of total)
ival-sub: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.6964667239977882e-12
1.5926610188720673e-11
Results
13.0ms96×0valid
Compiler

Compiled 242 to 141 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (50.4% of total)
ival-mult: 4.0ms (40.3% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.6964667239977882e-12
1.5926610188720673e-11
Results
8.0ms96×0valid
Compiler

Compiled 242 to 147 computations (39.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (78.6% of total)
ival-add: 1.0ms (19.7% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
3.4705199156792167e-46
5.85637056084945e-45
Results
10.0ms112×0valid
Compiler

Compiled 208 to 134 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (81.9% of total)
ival-add: 1.0ms (16.4% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
2.6514315366614563e+181
2.0442139042816143e+183
Results
11.0ms112×0valid
Compiler

Compiled 166 to 113 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (82.1% of total)
ival-add: 1.0ms (16.4% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify22.0ms (0.2%)

Algorithm
egg-herbie
Rules
27×*-commutative
17×+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831476
11351476
21481476
31541476
41571476
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) (-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 4208996133570293/2475880078570760549798248448 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 4208996133570293/2475880078570760549798248448 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)))
(if (<=.f64 x.im #s(literal 145628760260971/25108406941546723055343157692830665664409421777856138051584 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 339999999999999986559709834559104325559742361429962324871305815227172735678134909488596611551077865078156252941692680511387446389902736836812165738552559588756990926958871581516890112 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
#s(literal 3 binary64)
#s(literal -3 binary64)
Outputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.im) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) (-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.im) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) (-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) (-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.im) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (*.f64 x.re x.im) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (*.f64 (*.f64 x.im x.re) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re x.im) (+.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (-.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 4208996133570293/2475880078570760549798248448 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 4208996133570293/2475880078570760549798248448 binary64)) (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.im))) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 4208996133570293/2475880078570760549798248448 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 4208996133570293/2475880078570760549798248448 binary64)) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im)))) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))))
(if (<=.f64 x.im #s(literal 145628760260971/25108406941546723055343157692830665664409421777856138051584 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.re #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 145628760260971/25108406941546723055343157692830665664409421777856138051584 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 339999999999999986559709834559104325559742361429962324871305815227172735678134909488596611551077865078156252941692680511387446389902736836812165738552559588756990926958871581516890112 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
#s(literal 3 binary64)
#s(literal -3 binary64)

soundness2.1s (23.4%)

Rules
914×unsub-neg
913×log1p-expm1-u
675×fma-neg
606×fma-define
419×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033245
1569233
034629
1624513
26677513
032348
1562305
068417629
1224317629
095121845
1271521845
07984744
126854744
058117863
1144816364
2563616135
042563
1136491
2368483
31517309
44607301
56832301
67668301
034380
1633320
Stop Event
fuel
node limit
node limit
node limit
unsound
unsound
unsound
node limit
node limit
node limit
Compiler

Compiled 1551 to 320 computations (79.4% saved)

preprocess80.0ms (0.9%)

Remove

(abs x.re)

Compiler

Compiled 1430 to 514 computations (64.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...