math.cube on complex, imaginary part

Time bar (total: 8.6s)

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)

sample1.3s (15.6%)

Results
979.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 562.0ms
ival-mult: 428.0ms (76.1% of total)
ival-add: 84.0ms (14.9% of total)
ival-sub: 42.0ms (7.5% of total)
const: 7.0ms (1.2% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess126.0ms (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)

explain166.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
270-0-(+.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))
180-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
140-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-(*.f64 x.re x.im)
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.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.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))nan-rescue270
(*.f64 x.re x.re)overflow60
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow113
(*.f64 x.im x.im)overflow71
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow121
(*.f64 x.im x.re)overflow40
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow64
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow40
(*.f64 x.re x.im)overflow40
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue180
(*.f64 x.re x.re)overflow60
(*.f64 x.im x.im)overflow71
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o140
Confusion
Predicted +Predicted -
+480
-0208
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4800
-00208
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0208
137
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
60.0ms512×0valid
Compiler

Compiled 178 to 46 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 22.0ms (67.5% of total)
ival-add: 8.0ms (24.6% of total)
ival-sub: 3.0ms (9.2% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 73 to 25 computations (65.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(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))))
85.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
85.0%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
81.5%
(+.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 65 to 37 computations (43.1% saved)

simplify87.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 x.im #s(literal 2 binary64))
cost-diff0
(*.f64 x.re (*.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 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)))
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)
Rules
849×fma-neg
645×sub-neg
427×associate-+l-
348×unsub-neg
339×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031803
172747
2138729
3265637
4612637
51686637
62877637
76496637
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 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))
(-.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))
(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)
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 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 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.re 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 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 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 (*.f64 x.re x.re) x.im) (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 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 x.im (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(*.f64 x.re (*.f64 (*.f64 x.re 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 (*.f64 x.re 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)))
(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 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 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.re 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 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
x.re
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (*.f64 x.re 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))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 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))))
(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 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.re 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 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 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 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.re x.im))
(*.f64 (*.f64 x.re 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))
(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 (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.re 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 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (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 (*.f64 x.re 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 (*.f64 x.re x.re) x.im) (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 x.re x.re)
(*.f64 x.im x.im)

localize116.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.im #s(literal 2 binary64))
accuracy94.7%
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
accuracy93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy91.7%
(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))))
accuracy100.0%
(*.f64 x.re x.im)
accuracy99.8%
(*.f64 x.re (*.f64 x.re x.im))
accuracy99.8%
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
accuracy86.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x.re #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)))
accuracy86.0%
(-.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)
accuracy94.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy89.4%
(+.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
82.0ms256×0valid
Compiler

Compiled 181 to 26 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 35.0ms (70.2% of total)
ival-pow: 4.0ms (8% of total)
ival-sub: 3.0ms (6% of total)
ival-add: 3.0ms (6% of total)
ival-fma: 3.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.5%)

Counts
18 → 396
Calls
Call 1
Inputs
#<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 (-.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 (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.re (*.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 x.im #s(literal 2 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 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))>
#<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))>
#<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))>
#<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 -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<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 (pow.f64 x.im #s(literal 2 binary64)) (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 (pow.f64 x.im #s(literal 2 binary64)) (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 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<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 (pow.f64 x.im #s(literal 2 binary64)) (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 (pow.f64 x.im #s(literal 2 binary64)) (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 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<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 (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<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)))))))>
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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 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))>
#<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))>
#<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))>
#<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) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<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 (pow.f64 x.re #s(literal 2 binary64)) (+.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 (pow.f64 x.re #s(literal 2 binary64)) (+.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 (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 (*.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 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 #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 (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 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 (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 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 #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 (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 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)))>
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#<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 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))))))>
#<alt (*.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))) (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))) (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))) (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 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))) (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))) (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))) (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

99 calls:

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

rewrite422.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u
251×associate-*r*
209×expm1-log1p-u
203×add-exp-log
202×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031520
1560436
26640436
Stop Event
node limit
Counts
18 → 493
Calls
Call 1
Inputs
(*.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))
(-.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)
(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.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 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) (*.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 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 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))
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(/.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 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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)))))
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(/.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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.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 (*.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))))))
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(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.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 #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 (-.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 #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 (cbrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.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)))))
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(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)))

simplify149.0ms (1.7%)

Algorithm
egg-herbie
Rules
130×*-commutative
58×+-commutative
37×sub-neg
36×fma-undefine
33×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07637375
124957375
Stop Event
unsound
Counts
889 → 436
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
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(/.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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 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 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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))))) (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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.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 (*.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.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 #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 (-.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 #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 (cbrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.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 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -3 binary64)
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(*.f64 x.im (+.f64 #s(literal -3 binary64) (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 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.im))
(*.f64 x.im (+.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal -3 binary64))))
(-.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))
#s(literal -3 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 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 x.im (+.f64 #s(literal -3 binary64) (fma.f64 x.re x.re (pow.f64 x.im #s(literal -3 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 #s(literal -3 binary64) (fma.f64 x.re x.re (pow.f64 x.im #s(literal -3 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 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 x.im (+.f64 #s(literal -3 binary64) (fma.f64 x.re x.re (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 4 binary64))) x.im) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 #s(literal -3 binary64) (fma.f64 x.re x.re (pow.f64 x.im #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 1 binary64))
#s(literal -3 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))
#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))
#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)

eval151.0ms (1.8%)

Compiler

Compiled 11095 to 1701 computations (84.7% saved)

prune105.0ms (1.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New52510535
Fresh000
Picked134
Done000
Total52613539
Accuracy
100.0%
Counts
539 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(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))))
84.9%
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
85.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
85.0%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
81.4%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
81.5%
(+.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))
51.3%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
84.2%
(+.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))
46.6%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
60.7%
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
2.6%
#s(literal 10 binary64)
2.6%
#s(literal 1/10 binary64)
Compiler

Compiled 294 to 184 computations (37.4% saved)

simplify54.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff-6400
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
cost-diff0
(pow.f64 x.re #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 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-12672
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff-6336
(*.f64 x.re x.re)
cost-diff-6336
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re (sqrt.f64 x.im))
cost-diff6400
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
cost-diff6400
(*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
cost-diff6400
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
Rules
916×fma-neg
602×associate-+l-
463×cancel-sign-sub-inv
392×distribute-rgt-out
374×associate-+r-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035582
179566
2177533
3413532
41415530
54060530
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
(*.f64 x.re (sqrt.f64 x.im))
x.re
(sqrt.f64 x.im)
x.im
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 1/10 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #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
#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)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal 3 binary64)
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
x.im
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64) (neg.f64 (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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re (sqrt.f64 x.im))
x.re
(sqrt.f64 x.im)
x.im
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 1/10 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)) x.im #s(literal -3 binary64))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -3 binary64)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #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 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)))
(fma.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 (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
x.im
#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))
(fma.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 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 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)))
(fma.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 (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 #s(literal 2 binary64) 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 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
#s(literal 3 binary64)
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
x.im
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)

localize118.0ms (1.4%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x.re #s(literal 2 binary64))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
accuracy87.1%
(*.f64 x.im (pow.f64 x.re #s(literal 2 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)
accuracy94.7%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
accuracy89.4%
(+.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%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 x.im x.im)
accuracy94.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy99.8%
(*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy99.7%
(*.f64 x.re (sqrt.f64 x.im))
accuracy99.6%
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
accuracy86.0%
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
Results
85.0ms256×0valid
Compiler

Compiled 163 to 30 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 25.0ms (49.8% of total)
ival-pow: 10.0ms (19.9% of total)
ival-add: 5.0ms (10% of total)
ival-sub: 4.0ms (8% of total)
...c/correct-round.rkt:121:19: 4.0ms (8% of total)
ival-sqrt: 2.0ms (4% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.4%)

Counts
12 → 201
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))>
#<alt (*.f64 x.re (sqrt.f64 x.im))>
#<alt (*.f64 x.im x.im)>
#<alt (-.f64 x.re x.im)>
#<alt (+.f64 x.re x.im)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<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)))>
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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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im)))))>
#<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 x.re) (*.f64 x.im (+.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 x.re) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))>
#<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 (*.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 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 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) 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 (*.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 -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.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))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.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))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (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 -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.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 -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.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 -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

66 calls:

TimeVariablePointExpression
4.0ms
x.re
@-inf
(- (* (pow (* x.re (sqrt x.im)) 2) 3) (pow x.im 3))
3.0ms
x.im
@inf
(+ x.re x.im)
1.0ms
x.im
@-inf
(- (* (pow (* x.re (sqrt x.im)) 2) 3) (pow x.im 3))
1.0ms
x.im
@-inf
(* (pow (* x.re (sqrt x.im)) 2) 3)
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))

rewrite216.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
923×log1p-expm1-u
231×associate-*r*
215×expm1-log1p-u
201×add-exp-log
200×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029328
1502276
26839276
Stop Event
node limit
Counts
12 → 301
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
(*.f64 x.re (sqrt.f64 x.im))
(*.f64 x.im x.im)
(-.f64 x.re x.im)
(+.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))
(*.f64 x.im (pow.f64 x.re #s(literal 2 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)
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)))) (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 2 binary64)))
(*.f64 (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 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) x.re) (pow.f64 x.im #s(literal 3/2 binary64))) (-.f64 (*.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) x.re) (pow.f64 x.im #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (*.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 #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 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) x.re) (*.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) x.re) (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 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x.im #s(literal 3 binary64))) (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))))))
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(log.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)) #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.re (sqrt.f64 x.im)) #s(literal 2 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))
(pow.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.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))))))) #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)) (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 (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))
(*.f64 #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))))))
(*.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)))))) (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 2 binary64)))
(*.f64 (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 2 binary64)) (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)))))))
(*.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)))))) (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)))))))
(*.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 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 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.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 #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 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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 #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 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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 (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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 (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))) (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 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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))))) (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 (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 (*.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.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 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.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 (cbrt.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 (*.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.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))) (+.f64 x.re x.im))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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
157×*-commutative
78×+-commutative
37×associate-*r*
37×sub-neg
36×fma-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072318446
1184818446
Stop Event
unsound
Counts
502 → 433
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)))
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(*.f64 #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))))))
(*.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)))))) (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 2 binary64)))
(*.f64 (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 2 binary64)) (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)))))))
(*.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)))))) (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)))))))
(*.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 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 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.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 #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 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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 #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 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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 (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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 (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))) (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 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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))))) (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 (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 (*.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.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 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.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 (cbrt.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 (*.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.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))) (+.f64 x.re x.im))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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 (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 #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 (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 #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 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 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 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 (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 (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)))
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(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #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 x.re #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 #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 x.re #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 #s(literal 0 binary64) (*.f64 x.re #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 (cbrt.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 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #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 (pow.f64 (*.f64 #s(literal 0 binary64) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 #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))))
(+.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)) (*.f64 x.re #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 (*.f64 #s(literal 0 binary64) (sqrt.f64 x.re)) (*.f64 #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 (*.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.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(*.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.re x.im))) (+.f64 x.re x.im))
(*.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))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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))))))
(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))))

eval80.0ms (0.9%)

Compiler

Compiled 13698 to 2463 computations (82% saved)

prune182.0ms (2.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New6617668
Fresh325
Picked325
Done123
Total66813681
Accuracy
100.0%
Counts
681 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
84.9%
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
85.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
85.0%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
81.4%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
84.2%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
58.3%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
68.3%
(+.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))
46.6%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
46.5%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
2.6%
#s(literal 10 binary64)
2.6%
#s(literal 1/10 binary64)
Compiler

Compiled 267 to 169 computations (36.7% saved)

simplify79.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.im #s(literal 3 binary64))
cost-diff0
(pow.f64 x.re #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
cost-diff0
(neg.f64 x.im)
cost-diff0
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
cost-diff-12672
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
cost-diff-6336
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
cost-diff0
(+.f64 x.re x.im)
cost-diff0
(-.f64 x.re x.im)
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
cost-diff0
(+.f64 x.re x.im)
cost-diff0
(-.f64 x.re x.im)
Rules
962×fma-define
559×associate-+l-
551×unsub-neg
411×distribute-lft-out
250×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026466
164460
2166455
3411451
41101412
53582410
67032410
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) 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 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) #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 10 binary64)
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(*.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)
#s(literal -3 binary64)
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(neg.f64 x.im)
x.im
#s(literal 3 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
(*.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 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 x.im)) x.im (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 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 (*.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)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(-.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) #s(literal 2 binary64)) x.re)
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #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) #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 10 binary64)
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im #s(literal -3 binary64))
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -3 binary64)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal -3 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)))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(-.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)
#s(literal -3 binary64)
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(neg.f64 x.im)
x.im
#s(literal 3 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.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 #s(literal 3 binary64))
x.im
#s(literal 3 binary64)

localize141.0ms (1.6%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x.re #s(literal 2 binary64))
accuracy100.0%
(*.f64 x.im #s(literal 3 binary64))
accuracy87.0%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
accuracy100.0%
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy100.0%
(neg.f64 x.im)
accuracy100.0%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
accuracy100.0%
(+.f64 x.re x.im)
accuracy100.0%
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
accuracy94.7%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
accuracy100.0%
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy94.7%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
accuracy89.4%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Results
114.0ms256×0valid
Compiler

Compiled 122 to 21 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 13.0ms (42.1% of total)
ival-pow: 10.0ms (32.4% of total)
ival-add: 4.0ms (13% of total)
ival-sub: 2.0ms (6.5% of total)
const: 1.0ms (3.2% of total)
ival-neg: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
9 → 180
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))>
#<alt (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))>
#<alt (neg.f64 x.im)>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.im #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)>
#<alt (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))>
Outputs
#<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 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))) #s(literal 3 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))) #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 (*.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 (+.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 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.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 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))) (/.f64 #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 (*.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 -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) #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 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) x.re))) x.re))))>
#<alt #s(literal -3 binary64)>
#<alt (-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))>
#<alt (-.f64 (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))>
#<alt (-.f64 (*.f64 x.im (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 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 -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.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 -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.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) (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.im))) x.im))) x.im)))))>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
x.im
@-inf
(pow (neg x.im) 3)
0.0ms
x.re
@-inf
(* (- x.re x.im) (+ x.re x.im))
0.0ms
x.im
@0
(pow (neg x.im) 3)
0.0ms
x.re
@inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) -3)
0.0ms
x.im
@inf
(pow (neg x.im) 3)

rewrite169.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1027×log1p-expm1-u
481×expm1-log1p-u
207×associate-*r*
175×add-cube-cbrt
171×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025246
1392196
25901196
Stop Event
node limit
Counts
9 → 220
Calls
Call 1
Inputs
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(neg.f64 x.im)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im #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) #s(literal 2 binary64)) x.re))
(*.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) #s(literal -3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (fma.f64 x.im x.im (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 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im)))
(+.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.re (+.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 3 binary64)) (+.f64 x.re x.im))
(/.f64 (pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (*.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (+.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.re (+.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.re (+.f64 x.re x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im)))) (-.f64 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 x.re x.im) (+.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.re x.im))))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x.re x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)))
(fma.f64 (+.f64 x.re x.im) x.re (*.f64 x.im (+.f64 x.re x.im)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.im)
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) x.im)
(*.f64 (pow.f64 (sqrt.f64 x.im) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64)) x.im)
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -1 binary64)) x.im)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x.im)
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (exp.f64 (log1p.f64 x.im)) #s(literal 1 binary64))
(*.f64 x.im #s(literal 1 binary64))
(*.f64 x.im #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x.im)
(*.f64 (cbrt.f64 x.im) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.im)))
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
(*.f64 (sqrt.f64 x.im) (neg.f64 (sqrt.f64 x.im)))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(pow.f64 x.im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x.im) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 2 binary64)))
(log.f64 (exp.f64 x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.im)))
(cbrt.f64 (pow.f64 x.im #s(literal 3 binary64)))
x.im
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
(exp.f64 (log.f64 x.im))
(exp.f64 (*.f64 (log.f64 x.im) #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))
(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 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 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)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -9 binary64)) (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -9 binary64))) (neg.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal -3 binary64))
(fma.f64 (*.f64 (+.f64 x.re x.im) (sqrt.f64 x.im)) (*.f64 (+.f64 x.re x.im) (sqrt.f64 x.im)) #s(literal -3 binary64))

simplify281.0ms (3.3%)

Algorithm
egg-herbie
Rules
869×fma-neg
614×associate-*r*
613×associate-*l*
493×fma-define
293×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062514006
1160812936
2753912912
Stop Event
node limit
Counts
400 → 384
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.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 (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.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 (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) x.re))))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.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 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.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 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) x.im)) #s(literal 1 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) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 #s(literal -1 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 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 -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 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 (+.f64 (*.f64 #s(literal -1 binary64) (*.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))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.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))))
(*.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))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))
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(*.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -9 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -9 binary64)) (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -9 binary64))) (neg.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal -3 binary64))
(fma.f64 (*.f64 (+.f64 x.re x.im) (sqrt.f64 x.im)) (*.f64 (+.f64 x.re x.im) (sqrt.f64 x.im)) #s(literal -3 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (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))))
(neg.f64 (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 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (+.f64 x.re (neg.f64 x.im)))))
(-.f64 (pow.f64 x.re #s(literal 2 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 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (+.f64 x.re (neg.f64 x.im)))))
(-.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 (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))))
(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 (*.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) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.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 (pow.f64 x.im #s(literal 2 binary64)) (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 (*.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) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.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 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(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))))
(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 (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.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) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.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 (pow.f64 x.im #s(literal 2 binary64)) (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 (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.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) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.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 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (+.f64 x.re (neg.f64 x.im)))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 x.im (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (+.f64 x.re (neg.f64 x.im)))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.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 2 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.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 2 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 0 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 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.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 2 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.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 2 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 0 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 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) x.im)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.re #s(literal 0 binary64)) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 x.im)) x.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 x.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.re #s(literal 0 binary64)) (neg.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 x.im)) x.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 x.im)) #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) (pow.f64 x.im #s(literal 3 binary64)))
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(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) (fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -9 binary64))) (neg.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 9 binary64)) (neg.f64 (fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal 4 binary64)))) (-.f64 #s(literal -3 binary64) (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 9 binary64)) (neg.f64 (fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal 4 binary64)))) (-.f64 #s(literal -3 binary64) (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 2 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(exp.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal -3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal -3 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal -3 binary64))
(fma.f64 (*.f64 (+.f64 x.re x.im) (sqrt.f64 x.im)) (*.f64 (+.f64 x.re x.im) (sqrt.f64 x.im)) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))

eval236.0ms (2.7%)

Compiler

Compiled 16195 to 2291 computations (85.9% saved)

prune264.0ms (3.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New8217828
Fresh224
Picked235
Done134
Total82615841
Accuracy
100.0%
Counts
841 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
60.7%
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
85.0%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
85.0%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
81.4%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
84.2%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
68.3%
(+.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))
51.4%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
46.3%
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
46.6%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
46.5%
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
2.6%
#s(literal 10 binary64)
2.6%
#s(literal 1/10 binary64)
2.7%
#s(literal -3 binary64)
Compiler

Compiled 277 to 178 computations (35.7% saved)

simplify81.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x.re #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))
cost-diff0
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
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)) x.im)
cost-diff384
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
cost-diff-6336
(*.f64 x.re x.re)
cost-diff-6336
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
cost-diff0
(*.f64 x.im #s(literal 3 binary64))
cost-diff0
(*.f64 x.im x.im)
cost-diff768
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
cost-diff6720
(*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re)
cost-diff13056
(*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))
Rules
675×sub-neg
579×fma-neg
540×associate-+l-
473×distribute-lft-in
446×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033683
180554
2166540
3325515
4650510
51712510
62718510
76615510
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 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 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 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re)
(*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
(*.f64 x.re (+.f64 x.re x.im))
x.re
(+.f64 x.re 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 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
x.im
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
#s(literal 3 binary64)
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)) x.im (*.f64 x.re (*.f64 x.re (*.f64 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 2 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 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re)
(*.f64 x.re (*.f64 x.re (*.f64 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im (*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(*.f64 x.re (+.f64 (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
(*.f64 x.re (*.f64 x.im (+.f64 (+.f64 x.re x.im) (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.re (*.f64 x.im (fma.f64 x.re #s(literal 2 binary64) (+.f64 x.re x.im))))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
(*.f64 x.re (*.f64 (+.f64 x.re x.im) x.im))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.im)))
(*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.re x.im))
x.re
(+.f64 x.re x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 x.re (*.f64 x.re (*.f64 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
x.im
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
#s(literal 3 binary64)

localize114.0ms (1.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x.re #s(literal 2 binary64))
accuracy99.7%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy87.1%
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x.re (+.f64 x.re x.im))
accuracy99.9%
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy94.7%
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
accuracy100.0%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 x.im #s(literal 3 binary64))
accuracy87.0%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
accuracy99.5%
(*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))
accuracy94.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy89.4%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
Results
80.0ms256×0valid
Compiler

Compiled 172 to 28 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 29.0ms (72.7% of total)
ival-add: 4.0ms (10% of total)
ival-pow: 3.0ms (7.5% of total)
ival-sqrt: 2.0ms (5% of total)
ival-sub: 1.0ms (2.5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.3%)

Counts
9 → 204
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 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 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))>
#<alt (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)>
#<alt (*.f64 x.re (+.f64 x.re x.im))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))>
Outputs
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #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 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (*.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 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (*.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 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 x.re (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 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 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) 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 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<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 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 x.re (+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 x.im x.re) (pow.f64 x.im #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 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 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 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.re (+.f64 x.im x.re))>
#<alt (*.f64 x.re (+.f64 x.im x.re))>
#<alt (*.f64 x.re (+.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 x.im x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 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 x.im x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 x.im (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 x.im (+.f64 x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #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))))>
#<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) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
x.im
@0
(* (* (* x.re (sqrt (* x.im 2))) (sqrt (* x.im 2))) x.re)
2.0ms
x.re
@inf
(* (pow x.re 2) 3)
1.0ms
x.re
@0
(* (* x.re (sqrt (* x.im 2))) (sqrt (* x.im 2)))
1.0ms
x.im
@-inf
(* (* x.re (sqrt (* x.im 2))) (sqrt (* x.im 2)))
1.0ms
x.im
@0
(* (* x.re (sqrt (* x.im 2))) (sqrt (* x.im 2)))

rewrite214.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
668×log1p-expm1-u
303×associate-*r*
227×expm1-log1p-u
222×add-cube-cbrt
221×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032289
1555278
27277278
Stop Event
node limit
Counts
9 → 200
Calls
Call 1
Inputs
(*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 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 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
(*.f64 x.re (+.f64 x.re x.im))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.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 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.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 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) #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.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 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))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.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 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 x.re (-.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (-.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))))
(pow.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im)))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))
(fma.f64 x.re (*.f64 x.im (+.f64 x.re x.im)) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.im (*.f64 x.re (+.f64 x.re x.im)) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) x.re (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))
(fma.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re x.im)))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (*.f64 (*.f64 x.re x.im) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) (+.f64 x.re x.im)) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re x.im))
(+.f64 (*.f64 x.re x.im) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (+.f64 x.re x.im)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re x.im)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re x.im)))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 x.re x.im))
(/.f64 (*.f64 x.re (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #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))) x.re) (-.f64 x.re x.im))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (*.f64 x.im (-.f64 x.im x.re))))
(pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x.re (sqrt.f64 (*.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (+.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 x.re x.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 x.re x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 x.re x.im))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 x.re x.im))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 x.re x.im))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (*.f64 x.re x.im))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re x.im))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 x.re x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #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 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.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)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #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 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #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)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))

simplify376.0ms (4.4%)

Algorithm
egg-herbie
Rules
648×cancel-sign-sub-inv
453×fma-neg
434×distribute-lft-neg-in
400×distribute-rgt-neg-in
305×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050019093
1120015610
2410215289
Stop Event
node limit
Counts
404 → 300
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re) (-.f64 x.re x.im))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (*.f64 x.im (-.f64 x.im x.re))))
(pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x.re (sqrt.f64 (*.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (+.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 x.re x.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re x.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 x.re x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 x.re x.im))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 x.re x.im))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 x.re x.im))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (*.f64 x.re x.im))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re x.im))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 x.re x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #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 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.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)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #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 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #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)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
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eval119.0ms (1.4%)

Compiler

Compiled 12325 to 1888 computations (84.7% saved)

prune305.0ms (3.5%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New5505555
Fresh134
Picked325
Done156
Total55515570
Accuracy
100.0%
Counts
570 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
85.0%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
84.2%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
68.3%
(+.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))
51.4%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
51.4%
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
46.5%
(*.f64 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
46.6%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
51.3%
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
46.5%
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
46.3%
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
2.6%
#s(literal 10 binary64)
2.6%
#s(literal 1/10 binary64)
2.7%
#s(literal -3 binary64)
Compiler

Compiled 507 to 195 computations (61.5% saved)

regimes32.0ms (0.4%)

Counts
33 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re (+.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) 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.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 x.im)) 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 (*.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))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(*.f64 #s(literal -1 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 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (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 x.im (*.f64 #s(literal 2 binary64) 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 (*.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))))
(pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 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 (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal 2 binary64)))) x.re))
(-.f64 (*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #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 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
Calls

3 calls:

11.0ms
x.im
10.0ms
x.re
8.0ms
(+.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
91.7%2x.re
99.9%2x.im
99.9%3(+.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)

regimes17.0ms (0.2%)

Counts
26 → 3
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re (+.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) 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.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 x.im)) 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 (*.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))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(*.f64 #s(literal -1 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 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (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 x.im (*.f64 #s(literal 2 binary64) x.im)))
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
Calls

2 calls:

8.0ms
(+.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
99.9%3(+.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))
99.2%3x.im
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes12.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re (+.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) 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.im) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.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.im) x.im) #s(literal -3 binary64))
Calls

2 calls:

5.0ms
x.im
5.0ms
x.re
Results
AccuracySegmentsBranch
81.7%2x.re
93.0%3x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.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) #s(literal -3 binary64))
Calls

1 calls:

6.0ms
x.im
Results
AccuracySegmentsBranch
89.9%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
Outputs
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
Calls

1 calls:

4.0ms
x.im
Results
AccuracySegmentsBranch
89.8%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x.im
Results
AccuracySegmentsBranch
84.9%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
Calls

1 calls:

3.0ms
x.im
Results
AccuracySegmentsBranch
84.3%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
Calls

2 calls:

4.0ms
x.re
3.0ms
x.im
Results
AccuracySegmentsBranch
46.6%1x.re
46.6%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
Outputs
#s(literal -3 binary64)
Calls

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

bsearch4.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
7.252945497110682e+96
1.734782069821789e+98
Results
3.0ms32×0valid
Compiler

Compiled 78 to 49 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (57.1% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
7.903577173369016e+273
3.011109930394595e+283
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch36.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.838427673637492e+73
1.7110248941830988e+78
18.0ms
4.3252978024842207e-106
1.2372562957008473e-98
Results
24.0ms272×0valid
Compiler

Compiled 590 to 365 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 12.0ms (73.5% of total)
ival-add: 2.0ms (12.2% of total)
ival-sub: 1.0ms (6.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch98.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
97.0ms
1.1159783962449561e+20
5.108153141979896e+20
Results
93.0ms96×0valid
Compiler

Compiled 218 to 135 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (74.1% of total)
ival-add: 1.0ms (18.5% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.1159783962449561e+20
5.108153141979896e+20
Results
8.0ms96×0valid
Compiler

Compiled 206 to 129 computations (37.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (73.8% of total)
ival-add: 1.0ms (18.5% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1.1159783962449561e+20
5.108153141979896e+20
Results
8.0ms96×0valid
Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (73.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
2.160605647087452e+34
1.9978424752154682e+36
Results
9.0ms112×0valid
Compiler

Compiled 180 to 120 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (80.1% of total)
ival-sub: 1.0ms (16% of total)
ival-add: 1.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
22×*-commutative
15×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721068
11101068
21221068
31281068
41311068
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 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.im) x.im) x.im) #s(literal -3 binary64)))
(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 9999999999999999213782878444176341486712719163258207029349796604673073768736360688744211624391338142173265718425108901184740478000812045911233791501695173449709921389782217629235579129702792695009666351450002856415308090320884466574359759805482716570229159677380024223137792 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (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 +inf.0 binary64)) (+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 3755503715593849/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 x.im #s(literal 1700000000000000035007963403787570586390193653784774359305696795014503031898112 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.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.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) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im)))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 28000000000000000781949476850892800 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
#s(literal -3 binary64)
Outputs
(if (<=.f64 x.im #s(literal 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 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.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 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 (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(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 9999999999999999213782878444176341486712719163258207029349796604673073768736360688744211624391338142173265718425108901184740478000812045911233791501695173449709921389782217629235579129702792695009666351450002856415308090320884466574359759805482716570229159677380024223137792 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (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 +inf.0 binary64)) (+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 9999999999999999213782878444176341486712719163258207029349796604673073768736360688744211624391338142173265718425108901184740478000812045911233791501695173449709921389782217629235579129702792695009666351450002856415308090320884466574359759805482716570229159677380024223137792 binary64)) (+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re))) (+.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 3755503715593849/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 x.im #s(literal 1700000000000000035007963403787570586390193653784774359305696795014503031898112 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.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 3755503715593849/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re))) (if (<=.f64 x.im #s(literal 1700000000000000035007963403787570586390193653784774359305696795014503031898112 binary64)) (+.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re)) (*.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) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (*.f64 x.im x.re) (+.f64 x.im x.re))) (+.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im)))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.im x.re)))) (+.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 112000000000000000000 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (+.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal 28000000000000000781949476850892800 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 28000000000000000781949476850892800 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (+.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
#s(literal -3 binary64)

soundness1.8s (20.4%)

Rules
923×log1p-expm1-u
914×unsub-neg
910×log1p-expm1-u
668×log1p-expm1-u
648×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032289
1555278
27277278
050019093
1120015610
2410215289
029328
1502276
26839276
031520
1560436
26640436
07637375
124957375
042563
1136491
2368483
31517309
44607301
56832301
67668301
Stop Event
fuel
node limit
unsound
node limit
node limit
node limit
node limit
Compiler

Compiled 682 to 173 computations (74.6% saved)

preprocess446.0ms (5.2%)

Compiler

Compiled 820 to 296 computations (63.9% saved)

end0.0ms (0%)

Profiling

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