math.cube on complex, imaginary part

Time bar (total: 9.2s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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 21 to 13 computations (38.1% saved)

sample1.3s (13.9%)

Memory
23.7MiB live, 2 009.3MiB allocated
Samples
989.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 582.0ms
ival-mult: 453.0ms (77.8% of total)
ival-add: 80.0ms (13.7% of total)
ival-sub: 41.0ms (7% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess131.0ms (1.4%)

Memory
7.9MiB live, 134.2MiB allocated
Algorithm
egg-herbie
Rules
897×unsub-neg
580×fma-define
421×sub-neg
400×distribute-lft-out
384×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042563
1136491
2368483
31517309
44574301
56808301
67659301
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.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(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.re (*.f64 x.im #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.re (*.f64 x.im #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 (*.f64 x.re x.re) (*.f64 x.im #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 (*.f64 x.re x.re) (*.f64 x.im #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.re (*.f64 x.im #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)

explain152.0ms (1.7%)

Memory
16.8MiB live, 413.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
130-0-(+.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))
120-0-(*.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 x.re x.re) (*.f64 x.im x.im))nan-rescue140
(*.f64 x.re x.re)overflow65
(*.f64 x.im x.im)overflow59
+.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-rescue130
(*.f64 x.re x.re)overflow65
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow110
(*.f64 x.im x.im)overflow59
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow113
(*.f64 x.im x.re)overflow32
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow65
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow32
(*.f64 x.re x.im)overflow32
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o120
Confusion
Predicted +Predicted -
+350
-0221
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3500
-00221
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0221
131
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms512×0valid
Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 21.0ms (70.5% of total)
ival-add: 6.0ms (20.2% of total)
ival-sub: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Compiler

Compiled 73 to 25 computations (65.8% saved)

prune2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(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))))
87.3%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
87.3%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
86.5%
(+.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)

simplify230.0ms (2.5%)

Memory
-13.4MiB live, 63.3MiB allocated
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.im #s(literal 3 binary64))
cost-diff0
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
cost-diff0
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
cost-diff0
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #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×fmm-def
652×sub-neg
429×associate-+l-
340×distribute-lft-neg-in
323×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031803
170747
2135729
3264637
4611637
51692637
62882637
76492637
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.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
x.re
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im #s(literal 3 binary64))
x.im
#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.re (*.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 (*.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.re (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(*.f64 x.re (*.f64 x.im (*.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 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.im (*.f64 x.re #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.re (*.f64 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 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
x.re
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.im #s(literal 3 binary64))
x.im
#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.re (*.f64 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 (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(*.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.re (*.f64 x.im #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 (*.f64 x.re #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)

localize102.0ms (1.1%)

Memory
-24.9MiB live, 193.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.im #s(literal 2 binary64))
accuracy95.6%
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
accuracy95.5%
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
accuracy95.3%
(-.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))
accuracy99.7%
(*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
accuracy89.0%
(-.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.im #s(literal 3 binary64))
accuracy99.8%
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
accuracy99.7%
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
accuracy89.0%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #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)
accuracy95.5%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy95.3%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy94.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
65.0ms256×0valid
Compiler

Compiled 180 to 28 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 40.0ms (80.5% of total)
ival-sub: 3.0ms (6% of total)
ival-add: 3.0ms (6% of total)
ival-pow: 3.0ms (6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory
7.4MiB live, 88.6MiB allocated
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.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))>
#<alt (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.im #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)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 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))))>
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#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 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
9.0ms
x.im
@-inf
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms
x.re
@-inf
(- (* x.re (* x.re (* x.im 3))) (pow x.im 3))
2.0ms
x.im
@0
(* x.re (* x.im 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))

rewrite371.0ms (4%)

Memory
-9.6MiB live, 626.9MiB allocated
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
1558436
26639436
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.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(*.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))
(*.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))
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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)))))
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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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(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)))))
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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)))

simplify166.0ms (1.8%)

Memory
24.1MiB live, 218.9MiB allocated
Algorithm
egg-herbie
Rules
133×*-commutative
58×+-commutative
37×sub-neg
35×fma-undefine
33×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07587345
125057345
Stop Event
unsound
Counts
889 → 433
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))
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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 #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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 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 #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 (-.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)
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(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)
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#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 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 x.im (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.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 x.im (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 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 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)

eval139.0ms (1.5%)

Memory
-9.8MiB live, 101.8MiB allocated
Compiler

Compiled 11 056 to 1 684 computations (84.8% saved)

prune83.0ms (0.9%)

Memory
-5.3MiB live, 157.5MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New5239532
Fresh000
Picked134
Done000
Total52412536
Accuracy
100.0%
Counts
536 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(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))))
87.3%
(-.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)))
87.3%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
87.3%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
86.5%
(+.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))
86.5%
(+.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))
50.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
62.1%
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
56.1%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
56.1%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
55.4%
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
2.9%
#s(literal 10 binary64)
Compiler

Compiled 288 to 180 computations (37.5% saved)

simplify99.0ms (1.1%)

Memory
13.6MiB live, 50.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x.im)
cost-diff0
(pow.f64 x.re #s(literal 2 binary64))
cost-diff128
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
cost-diff128
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
cost-diff0
(pow.f64 x.im #s(literal 3 binary64))
cost-diff64
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
cost-diff-6336
(-.f64 (*.f64 x.re x.re) (*.f64 x.im 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.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
566×fma-define
396×distribute-lft-out--
375×associate-+l-
371×distribute-lft-neg-in
275×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031441
173438
2167415
3348415
4900415
52937415
64827415
77734415
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 10 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
x.im
(*.f64 #s(literal 2 binary64) x.im)
Outputs
(-.f64 (*.f64 (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)))
(fma.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 #s(literal 3 binary64) (*.f64 x.im (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))))
(*.f64 #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))
(*.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 10 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 (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)))
(fma.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 #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.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 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
(*.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 #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) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.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))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 x.im #s(literal 3 binary64))
x.im
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal 2 binary64))

localize84.0ms (0.9%)

Memory
-10.3MiB live, 186.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x.re #s(literal 2 binary64))
accuracy100.0%
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x.im)
accuracy88.9%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
accuracy100.0%
(pow.f64 x.im #s(literal 3 binary64))
accuracy100.0%
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy95.5%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy95.3%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy94.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
accuracy99.7%
(*.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))
accuracy89.0%
(-.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)))
Samples
55.0ms256×0valid
Compiler

Compiled 133 to 27 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 16.0ms (45.9% of total)
ival-pow: 7.0ms (20.1% of total)
ival-pow2: 4.0ms (11.5% of total)
ival-add: 3.0ms (8.6% of total)
ival-sub: 2.0ms (5.7% of total)
ival-sqrt: 2.0ms (5.7% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-2.4MiB live, 40.2MiB allocated
Counts
14 → 204
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 (*.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (pow.f64 x.im #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (+.f64 (*.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))>
#<alt (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 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)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 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))))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
x.im
@inf
(* -1 (pow x.im 3))
2.0ms
x.re
@inf
(* (* (* x.re x.im) 2) x.re)
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.im
@-inf
(* x.re (sqrt x.im))

rewrite221.0ms (2.4%)

Memory
5.4MiB live, 120.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
806×log1p-expm1-u
254×associate-*r*
220×expm1-log1p-u
211×add-cube-cbrt
209×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030320
1496286
26963286
Stop Event
node limit
Counts
14 → 345
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 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 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)))
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x.im)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
Outputs
(+.f64 (*.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 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 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))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im (pow.f64 x.im #s(literal 3 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))) (fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 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))) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 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))) (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 (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))) #s(literal 1 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 (cbrt.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)))) (pow.f64 (cbrt.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)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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)))) #s(literal 2 binary64)) (cbrt.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 (hypot.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))) (hypot.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #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 (pow.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))) #s(literal 2 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 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))) (-.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (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 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #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))) (pow.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))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #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 (pow.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #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 6 binary64)) (*.f64 (*.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 (pow.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))) #s(literal 2 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 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #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 (pow.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))) #s(literal 2 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)))))
(pow.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))) #s(literal 1 binary64))
(pow.f64 (cbrt.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)))) #s(literal 3 binary64))
(pow.f64 (pow.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))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.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))) #s(literal 2 binary64)))
(log.f64 (exp.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))))))
(cbrt.f64 (pow.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))) #s(literal 3 binary64)))
(expm1.f64 (log1p.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)))))
(log1p.f64 (expm1.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)))))
(exp.f64 (log.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)))))
(exp.f64 (*.f64 (log.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)))) #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)))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (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 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.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 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.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 (-.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 x.im x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64)))) (*.f64 x.im #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x.im (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 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 4 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 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.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)))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
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(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)) (log.f64 (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 (*.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x.re))))

simplify342.0ms (3.7%)

Memory
22.2MiB live, 259.4MiB allocated
Algorithm
egg-herbie
Rules
641×fmm-def
442×associate-*r*
423×associate-*l*
294×exp-prod
239×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066016458
1141415211
2521415155
Stop Event
node limit
Counts
549 → 403
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
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(pow.f64 x.im #s(literal 2 binary64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)) (log.f64 (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 (*.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x.re))))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (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 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (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 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.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 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.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 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal -3 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
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eval148.0ms (1.6%)

Memory
-17.1MiB live, 100.5MiB allocated
Compiler

Compiled 10 252 to 1 709 computations (83.3% saved)

prune73.0ms (0.8%)

Memory
12.5MiB live, 173.0MiB allocated
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New5336539
Fresh314
Picked235
Done033
Total53813551
Accuracy
100.0%
Counts
551 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(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))))
87.1%
(-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
87.3%
(-.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)))
87.3%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
87.3%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
86.5%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) #s(literal 2 binary64)) x.re))
86.5%
(+.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))
50.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
62.1%
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
56.1%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
56.1%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
55.4%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
2.9%
#s(literal 10 binary64)
Compiler

Compiled 274 to 178 computations (35% saved)

simplify84.0ms (0.9%)

Memory
4.1MiB live, 42.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x.im #s(literal 3 binary64))
cost-diff0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
(+.f64 x.re #s(literal -3 binary64))
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))
cost-diff0
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im)
cost-diff-6336
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 #s(literal 2 binary64) x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff128
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
cost-diff128
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64))
cost-diff25600
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff25600
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
cost-diff25600
(-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
Rules
963×fma-define
606×distribute-lft-neg-in
487×distribute-rgt-out
378×distribute-rgt-neg-in
295×fmm-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036711
196651
2238643
3588634
41394632
54125629
66917629
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x.re (sqrt.f64 x.im)))
(*.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))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.re x.re)
x.re
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
x.im
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #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.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -3 binary64))
#s(literal -3 binary64)
(*.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)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
Outputs
(-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #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 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.re x.im))
(pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64))
(*.f64 x.re (sqrt.f64 x.im))
(sqrt.f64 (*.f64 x.re (sqrt.f64 x.im)))
(*.f64 x.re (sqrt.f64 x.im))
(pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64))
x.re
(sqrt.f64 x.im)
x.im
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #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 (*.f64 #s(literal 2 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 x.im #s(literal 3 binary64))
x.im
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im #s(literal -3 binary64))
(fma.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64))
(fma.f64 x.re (*.f64 x.re x.im) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -3 binary64)))
(-.f64 (fma.f64 x.re (*.f64 x.re x.im) #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (*.f64 x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) 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 #s(literal -3 binary64))) x.im (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64)))))
(*.f64 x.im (+.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64)))))
(*.f64 x.im (fma.f64 x.im (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) (*.f64 x.re #s(literal 3 binary64))))))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im)
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))
(*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(+.f64 x.re #s(literal -3 binary64))
#s(literal -3 binary64)
(*.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 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.re (*.f64 x.im (*.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.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)

localize118.0ms (1.3%)

Memory
23.8MiB live, 218.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x.im #s(literal 3 binary64))
accuracy100.0%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy99.9%
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
accuracy99.9%
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy95.4%
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im)
accuracy100.0%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 x.im x.im)
accuracy95.5%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy95.3%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy100.0%
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
accuracy100.0%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x.im)
accuracy88.9%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
accuracy99.6%
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy99.2%
(pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64))
accuracy89.0%
(-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
accuracy88.0%
(sqrt.f64 (*.f64 x.re (sqrt.f64 x.im)))
Samples
55.0ms226×0valid
20.0ms20×1valid
5.0ms10×2valid
Compiler

Compiled 188 to 32 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 28.0ms (45.3% of total)
ival-add: 10.0ms (16.2% of total)
ival-pow2: 9.0ms (14.6% of total)
adjust: 4.0ms (6.5% of total)
ival-sqrt: 4.0ms (6.5% of total)
ival-pow: 3.0ms (4.9% of total)
ival-sub: 2.0ms (3.2% of total)
ival-neg: 1.0ms (1.6% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series182.0ms (2%)

Memory
-38.3MiB live, 137.5MiB allocated
Counts
12 → 258
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im)>
#<alt (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.re #s(literal -3 binary64))>
#<alt (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im)))>
#<alt (+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<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)))))>
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#<alt (*.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 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 x.im x.re))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 x.im x.re))) x.re))))>
#<alt x.re>
#<alt x.im>
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#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt x.im>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
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#<alt x.im>
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#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt x.re>
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#<alt (-.f64 x.re #s(literal 3 binary64))>
#<alt (-.f64 x.re #s(literal 3 binary64))>
#<alt x.re>
#<alt (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))>
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#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 x.re))>
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#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x.re (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x.im) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x.re (sqrt.f64 #s(literal -1 binary64)))))>
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#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))>
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#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.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) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.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) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.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) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (-.f64 x.im #s(literal 3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
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#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 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 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re))))>
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#<alt (*.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 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
Calls

66 calls:

TimeVariablePointExpression
92.0ms
x.im
@inf
(sqrt (* x.re (sqrt x.im)))
55.0ms
x.re
@0
(sqrt (* x.re (sqrt x.im)))
12.0ms
x.im
@0
(sqrt (* x.re (sqrt x.im)))
2.0ms
x.re
@0
(- (* (pow (pow (sqrt (* x.re (sqrt x.im))) 2) 2) 3) (pow x.im 3))
1.0ms
x.re
@-inf
(- (* (pow (pow (sqrt (* x.re (sqrt x.im))) 2) 2) 3) (pow x.im 3))

rewrite236.0ms (2.6%)

Memory
21.2MiB live, 138.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
423×log1p-expm1-u
289×associate-*r*
240×expm1-log1p-u
235×add-cube-cbrt
233×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032331
1560304
27927304
Stop Event
node limit
Counts
12 → 392
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re #s(literal -3 binary64))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(sqrt.f64 (*.f64 x.re (sqrt.f64 x.im)))
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(+.f64 (*.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 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 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))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im (pow.f64 x.im #s(literal 3 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))) (fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 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))) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 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))) (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 (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))) #s(literal 1 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 (cbrt.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)))) (pow.f64 (cbrt.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)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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)))) #s(literal 2 binary64)) (cbrt.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 (hypot.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))) (hypot.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 27 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)))))))
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(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))) x.im (*.f64 x.im (*.f64 #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 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 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 (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.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 (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) (sqrt.f64 (*.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 (+.f64 x.re #s(literal -3 binary64)))))

simplify561.0ms (6.1%)

Memory
10.6MiB live, 398.1MiB allocated
Algorithm
egg-herbie
Rules
543×fmm-def
509×fma-define
408×*-commutative
315×distribute-lft-in
314×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092924983
1224024019
2645324018
Stop Event
node limit
Counts
650 → 609
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
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(*.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) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
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(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
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(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
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(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
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(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x.im) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x.im) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
(*.f64 (sqrt.f64 x.im) x.re)
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (*.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 (+.f64 x.re #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64))) (-.f64 (*.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 (+.f64 x.re #s(literal -3 binary64))))))
(pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))) x.im (*.f64 x.im (*.f64 #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 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 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 (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.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 (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) (sqrt.f64 (*.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 (+.f64 x.re #s(literal -3 binary64)))))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.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 x.im #s(literal 3 binary64)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 3 binary64)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 3 binary64)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.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 #s(literal 3 binary64) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.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 #s(literal 3 binary64) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.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 #s(literal 3 binary64) (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 x.im #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))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.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 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.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 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.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 -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (neg.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) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (neg.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) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 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 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) #s(literal 3 binary64))) (fma.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))) (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 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 2 binary64))) (neg.f64 (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64))) (-.f64 (*.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 (+.f64 x.re #s(literal -3 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 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 2 binary64))) (neg.f64 (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))))
(pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(pow.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 2 binary64))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(log.f64 (exp.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 (*.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -3 binary64))) x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 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 (+.f64 x.re #s(literal -3 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.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 (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (cbrt.f64 (pow.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 (+.f64 x.im x.re) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))) (sqrt.f64 (*.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 (+.f64 x.re #s(literal -3 binary64)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64)))))

eval130.0ms (1.4%)

Memory
-2.6MiB live, 230.3MiB allocated
Compiler

Compiled 17 288 to 3 132 computations (81.9% saved)

prune124.0ms (1.4%)

Memory
14.8MiB live, 293.7MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New8798887
Fresh112
Picked415
Done156
Total88515900
Accuracy
100.0%
Counts
900 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(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))))
87.3%
(-.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)))
87.3%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
49.5%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
86.5%
(+.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))
66.5%
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
55.5%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
49.7%
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
49.0%
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
56.1%
(*.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 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
56.1%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
56.1%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
55.4%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
2.9%
#s(literal 10 binary64)
Compiler

Compiled 339 to 221 computations (34.8% saved)

simplify102.0ms (1.1%)

Memory
-17.2MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
cost-diff0
(*.f64 x.re x.re)
cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))
cost-diff12864
(*.f64 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
cost-diff0
(-.f64 x.re #s(literal 3 binary64))
cost-diff0
(*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))
cost-diff0
(*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)
cost-diff0
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
cost-diff0
(*.f64 x.im #s(literal -3 binary64))
cost-diff0
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)
cost-diff0
(*.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 #s(literal 3 binary64)))
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 x.im (+.f64 x.im x.re))
cost-diff0
(+.f64 x.re #s(literal -3 binary64))
cost-diff0
(*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))
Rules
678×fma-define
559×unsub-neg
539×associate-+r+
461×associate-+l-
406×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032694
174689
2177670
3389658
4904650
51971642
62702642
73211642
83621642
95484642
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))
(+.f64 x.re #s(literal -3 binary64))
x.re
#s(literal -3 binary64)
(*.f64 x.im (+.f64 x.im x.re))
x.im
(+.f64 x.im x.re)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.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.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)
(*.f64 x.im #s(literal -3 binary64))
x.im
#s(literal -3 binary64)
(*.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)
x.re
#s(literal 2 binary64)
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))
x.re
(-.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
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 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(*.f64 x.re x.re)
x.re
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
#s(literal 2 binary64)
Outputs
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im))))
(*.f64 x.im (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (+.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (+.f64 x.re x.im))))
(*.f64 x.im (fma.f64 x.re (+.f64 #s(literal -3 binary64) (*.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im)))
(*.f64 x.im (fma.f64 (+.f64 x.re #s(literal -3 binary64)) x.im (*.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal -3 binary64)))))
(*.f64 x.im (fma.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal -3 binary64)) (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im)))
(*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))
(*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im))
(+.f64 x.re #s(literal -3 binary64))
x.re
#s(literal -3 binary64)
(*.f64 x.im (+.f64 x.im x.re))
(*.f64 x.im (+.f64 x.re x.im))
x.im
(+.f64 x.im x.re)
(+.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 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #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.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 x.im (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)
(*.f64 x.im (*.f64 #s(literal -3 binary64) x.im))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(*.f64 x.im #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.im)
x.im
#s(literal -3 binary64)
(*.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 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
x.re
#s(literal 2 binary64)
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))) x.im (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im)))
(*.f64 x.re (*.f64 x.im (+.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.im) (fma.f64 x.re #s(literal 2 binary64) (+.f64 x.re #s(literal -3 binary64))))
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -3 binary64) (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal -3 binary64))))
(*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im))
(*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))
(*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (+.f64 x.re #s(literal -3 binary64)))
x.re
(-.f64 x.re #s(literal 3 binary64))
(+.f64 x.re #s(literal -3 binary64))
#s(literal 3 binary64)
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 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#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 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re x.re)
x.re
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 x.im #s(literal 3 binary64))
(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
#s(literal 2 binary64)

localize273.0ms (3%)

Memory
-21.6MiB live, 181.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.im #s(literal 3 binary64))
accuracy99.9%
(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
accuracy99.5%
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))
accuracy92.9%
(*.f64 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
accuracy99.9%
(*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))
accuracy99.9%
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
accuracy99.9%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy96.9%
(*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)
accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
accuracy99.9%
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)
accuracy99.9%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy94.0%
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
accuracy100.0%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 x.im #s(literal 3 binary64))
accuracy92.9%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x.im (+.f64 x.im x.re))
accuracy99.9%
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
accuracy99.9%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
accuracy99.8%
(*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))
Samples
95.0ms158×0valid
76.0ms84×5exit
8.0ms2valid
2.0ms1valid
Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-pow2: 61.0ms (45.2% of total)
ival-mult: 46.0ms (34.1% of total)
adjust: 11.0ms (8.1% of total)
ival-add: 8.0ms (5.9% of total)
ival-sqrt: 5.0ms (3.7% of total)
ival-sub: 3.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
12.5MiB live, 50.3MiB allocated
Counts
14 → 255
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))>
#<alt (*.f64 x.im (+.f64 x.im x.re))>
#<alt (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)>
#<alt (*.f64 x.im #s(literal -3 binary64))>
#<alt (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)>
#<alt (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))>
#<alt (-.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (-.f64 x.im #s(literal 3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (-.f64 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 #s(literal 3 binary64))) x.re)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 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 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) 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 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 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 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))>
#<alt (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 x.im x.re)>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))>
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#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.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) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.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) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.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) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))) x.im))) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))))>
Calls

66 calls:

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

rewrite422.0ms (4.6%)

Memory
12.3MiB live, 168.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
506×log1p-expm1-u
278×associate-*r*
227×expm1-log1p-u
225×add-cube-cbrt
222×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032390
1552376
27457376
Stop Event
node limit
Counts
14 → 370
Calls
Call 1
Inputs
(*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re)))
(*.f64 x.im (+.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)
(*.f64 x.im #s(literal -3 binary64))
(*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))
(-.f64 x.re #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) (*.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) x.im))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) (*.f64 x.im (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im)))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) x.re) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) #s(literal -3 binary64)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) x.re))
(+.f64 (*.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) x.im) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re #s(literal -3 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(+.f64 (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))) (*.f64 #s(literal -3 binary64) (*.f64 x.im (+.f64 x.re x.im))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im (+.f64 x.re x.im))) (*.f64 x.re (*.f64 x.im (+.f64 x.re x.im))))
(+.f64 (*.f64 x.im (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im)) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 x.re x.re (-.f64 #s(literal 9 binary64) (*.f64 x.re #s(literal -3 binary64)))))
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 x.re x.re (+.f64 #s(literal 9 binary64) (*.f64 x.re #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (fma.f64 x.re x.re #s(literal -9 binary64))) (+.f64 x.re #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.im x.im (*.f64 x.re (-.f64 x.re x.im))))
(/.f64 (*.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -27 binary64)) (*.f64 x.im (+.f64 x.re x.im))) (fma.f64 x.re x.re (-.f64 #s(literal 9 binary64) (*.f64 x.re #s(literal -3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -27 binary64)) (*.f64 x.im (+.f64 x.re x.im))) (fma.f64 x.re x.re (+.f64 #s(literal 9 binary64) (*.f64 x.re #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 x.re x.re #s(literal -9 binary64)) (*.f64 x.im (+.f64 x.re x.im))) (+.f64 x.re #s(literal 3 binary64)))
(pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x.re #s(literal -3 binary64))) (*.f64 x.im (+.f64 x.re x.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)))))
(exp.f64 (log.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re x.im))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x.re x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (+.f64 x.re x.im)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re x.im)))))
(/.f64 (-.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 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re x.im)))
(/.f64 (*.f64 x.im (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.im x.im (*.f64 x.re (-.f64 x.re x.im))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re (-.f64 x.re x.im))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) x.im) (-.f64 x.im x.re))
(pow.f64 (*.f64 x.im (+.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (+.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 x.re x.im))) #s(literal 2 binary64))
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(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))) x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))

simplify750.0ms (8.2%)

Memory
-0.1MiB live, 403.8MiB allocated
Algorithm
egg-herbie
Rules
784×fmm-def
556×associate-*r*
519×associate-*l*
352×exp-prod
345×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082424773
1191723671
2672223666
Stop Event
node limit
Counts
625 → 545
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (-.f64 x.im #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
(*.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 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 x.im x.re)
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(pow.f64 x.im #s(literal 2 binary64))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im x.re)
(*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 x.re (+.f64 x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 x.im x.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))
(*.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) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 #s(literal -3 binary64) 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 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) 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 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
#s(literal -3 binary64)
x.re
(*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re))))
x.re
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64))))
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(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))))) (+.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (-.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 x.re (-.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (-.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))))
(pow.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.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 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))) x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
Outputs
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (-.f64 x.im #s(literal 3 binary64)))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (+.f64 x.im #s(literal -3 binary64)))))
(fma.f64 x.im (*.f64 x.re (+.f64 #s(literal -3 binary64) x.im)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (+.f64 x.re (+.f64 x.im #s(literal -3 binary64))))))
(fma.f64 x.re (*.f64 x.im (+.f64 x.re (+.f64 #s(literal -3 binary64) x.im))) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (+.f64 x.re (+.f64 x.im #s(literal -3 binary64))))))
(fma.f64 x.re (*.f64 x.im (+.f64 x.re (+.f64 #s(literal -3 binary64) x.im))) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 x.im (/.f64 (+.f64 x.im #s(literal -3 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (/.f64 (+.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (/.f64 (+.f64 x.im #s(literal -3 binary64)) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) x.im) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (/.f64 (+.f64 x.im #s(literal -3 binary64)) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) x.im) (/.f64 x.im x.re)))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (-.f64 x.im #s(literal 3 binary64))) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 x.im (/.f64 (+.f64 x.im #s(literal -3 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (/.f64 (+.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.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 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (*.f64 x.im (+.f64 #s(literal -3 binary64) x.im))) x.re)))
(*.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 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.im (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (*.f64 x.im (+.f64 #s(literal -3 binary64) x.im))) x.re)))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re)))
(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 (+.f64 #s(literal -3 binary64) x.re) (+.f64 x.im x.re)))
(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 (+.f64 #s(literal -3 binary64) x.re) (+.f64 x.im x.re)))
(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 (+.f64 #s(literal -3 binary64) x.re) (+.f64 x.im x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (-.f64 (/.f64 (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re)) x.im) #s(literal 3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (fma.f64 x.re (/.f64 (+.f64 #s(literal -3 binary64) x.re) x.im) #s(literal -3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (-.f64 (/.f64 (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re)) x.im) #s(literal 3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (fma.f64 x.re (/.f64 (+.f64 #s(literal -3 binary64) x.re) x.im) #s(literal -3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (-.f64 (/.f64 (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re)) x.im) #s(literal 3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (fma.f64 x.re (/.f64 (+.f64 #s(literal -3 binary64) x.re) x.im) #s(literal -3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im)) #s(literal 3 binary64)))
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(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 x.re (fma.f64 (+.f64 #s(literal -3 binary64) x.re) x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (*.f64 x.re (+.f64 x.re #s(literal -3 binary64))) x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 2 binary64)) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (+.f64 #s(literal -3 binary64) x.re))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))

eval183.0ms (2%)

Memory
-4.8MiB live, 266.9MiB allocated
Compiler

Compiled 17 175 to 2 507 computations (85.4% saved)

prune133.0ms (1.4%)

Memory
9.9MiB live, 350.5MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New8378845
Fresh224
Picked235
Done246
Total84317860
Accuracy
100.0%
Counts
860 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im)))
51.6%
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
87.3%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
51.6%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
86.5%
(+.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))
54.0%
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
55.5%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
56.1%
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
49.0%
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
29.2%
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
56.1%
(*.f64 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
56.1%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
21.5%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
54.0%
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
56.1%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
55.4%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
2.9%
#s(literal 10 binary64)
Compiler

Compiled 676 to 265 computations (60.8% saved)

regimes32.0ms (0.4%)

Memory
2.3MiB live, 80.2MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 10 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.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 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.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.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.im x.re) (+.f64 x.re #s(literal -3 binary64))) 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))
(neg.f64 (pow.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 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #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 x.re (*.f64 x.im #s(literal 2 binary64))) x.re (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.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 (*.f64 x.re x.re) (pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.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 (pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) #s(literal 2 binary64)) x.re))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (+.f64 x.re #s(literal -3 binary64))))) #s(literal 2 binary64)) (*.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 (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)))
(-.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (sqrt.f64 x.im))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
Outputs
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 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))
Calls

3 calls:

10.0ms
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
95.6%2x.re
99.8%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)

regimes30.0ms (0.3%)

Memory
-7.8MiB live, 31.9MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 10 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.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 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.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.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.im x.re) (+.f64 x.re #s(literal -3 binary64))) 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))
(neg.f64 (pow.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 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
Calls

2 calls:

7.0ms
x.im
6.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.8%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))
95.5%2x.im
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes54.0ms (0.6%)

Memory
-10.4MiB live, 31.0MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 10 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.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 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 x.re x.re) (/.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im #s(literal -1 binary64))) (*.f64 x.im #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (+.f64 x.re #s(literal -3 binary64)) (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
Calls

2 calls:

48.0ms
x.re
5.0ms
x.im
Results
AccuracySegmentsBranch
87.3%2x.im
72.9%4x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 10 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.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 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
Outputs
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
Calls

1 calls:

3.0ms
x.im
Results
AccuracySegmentsBranch
87.3%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-23.5MiB live, 15.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 10 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
Outputs
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
Calls

2 calls:

3.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
56.1%1x.re
59.9%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 10 binary64)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
Outputs
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
Calls

2 calls:

2.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
21.5%1x.re
21.5%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x.im
1.0ms
x.re
Results
AccuracySegmentsBranch
2.9%1x.re
2.9%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
4.496803074890237e+84
1.2631139919301498e+85
Samples
1.0ms16×0valid
Compiler

Compiled 52 to 34 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (125.3% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
7.574183364211872e+215
5.047074941667381e+217
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch14.0ms (0.2%)

Memory
-2.3MiB live, 36.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1352243.3695951537
260269314.02246416
Samples
8.0ms112×0valid
Compiler

Compiled 234 to 149 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (74.2% of total)
ival-sub: 1.0ms (18.5% of total)
ival-add: 1.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
3.4MiB live, 42.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1352243.3695951537
260269314.02246416
Samples
9.0ms112×0valid
Compiler

Compiled 192 to 128 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (75.3% of total)
ival-add: 1.0ms (15.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
-16.2MiB live, 27.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
5.0617008043703216e+210
2.4952462840048584e+215
Samples
10.0ms128×0valid
Compiler

Compiled 184 to 128 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (66.3% of total)
ival-sub: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify149.0ms (1.6%)

Memory
-14.6MiB live, 24.8MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative
14×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063754
198754
2110754
3116754
4119754
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (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 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) 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 1400000 binary64)) (+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 1400000 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 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)))
(if (<=.f64 x.im #s(literal 12499999999999998832549617056381175956598637048675263289836271126778853427189417522935905547537263353439756379501926782848470359953475520706116779277902118581613249240068363124641353211473844239478192096700434219008 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
#s(literal 10 binary64)
Outputs
(if (<=.f64 x.im #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (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 x.re (+.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.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 x.re (+.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (+.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) (+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 1400000 binary64)) (+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 1400000 binary64)) (+.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re x.re))) (+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 1400000 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 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)))
(if (<=.f64 x.im #s(literal 1400000 binary64)) (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re)) (+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 12499999999999998832549617056381175956598637048675263289836271126778853427189417522935905547537263353439756379501926782848470359953475520706116779277902118581613249240068363124641353211473844239478192096700434219008 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 12499999999999998832549617056381175956598637048675263289836271126778853427189417522935905547537263353439756379501926782848470359953475520706116779277902118581613249240068363124641353211473844239478192096700434219008 binary64)) (*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal -3 binary64)))
#s(literal 10 binary64)

soundness1.7s (18.6%)

Memory
29.7MiB live, 1 065.2MiB allocated
Rules
910×log1p-expm1-u
897×unsub-neg
806×log1p-expm1-u
641×fmm-def
580×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030320
1496286
26963286
031520
1558436
26639436
07587345
125057345
032390
1552376
27457376
066016458
1141415211
2521415155
042563
1136491
2368483
31517309
44574301
56808301
67659301
Stop Event
fuel
node limit
node limit
node limit
unsound
node limit
node limit
Compiler

Compiled 1 236 to 305 computations (75.3% saved)

preprocess141.0ms (1.5%)

Memory
-16.5MiB live, 141.3MiB allocated
Remove

(abs x.re)

Compiler

Compiled 626 to 252 computations (59.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...