math.cube on complex, imaginary part

Time bar (total: 10.9s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×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)

sample954.0ms (8.8%)

Memory
47.0MiB live, 1 366.0MiB allocated
Samples
678.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 490.0ms
ival-mult: 320.0ms (65.3% of total)
ival-add: 88.0ms (17.9% of total)
ival-sub: 73.0ms (14.9% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess503.0ms (4.6%)

Memory
2.7MiB live, 527.9MiB allocated
Algorithm
1×egg-herbie
Rules
19 136×lower-fma.f64
19 136×lower-fma.f32
2 550×lower-+.f32
2 546×lower-+.f64
2 546×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031107
19989
229285
3125957
4311155
5513355
6604855
7643355
8655355
9665755
10666455
11774755
01119
02019
13417
26517
315111
435811
5101011
6192911
7482911
8719411
0810711
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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))
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))
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (neg.f64 x.im))))
Symmetry

(abs x.re)

(negabs x.im)

explain175.0ms (1.6%)

Memory
-7.1MiB live, 267.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
180-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
170-0-(*.f64 (-.f64 (*.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-rescue200
↳(*.f64 x.re x.re)overflow68
↳(*.f64 x.im x.im)overflow70
+.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-rescue180
↳(*.f64 x.re x.re)overflow68
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow118
↳(*.f64 x.im x.im)overflow70
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow118
↳(*.f64 x.im x.re)overflow35
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow59
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow35
↳(*.f64 x.re x.im)overflow35
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o170
Confusion
Predicted +Predicted -
+440
-0212
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4400
-00212
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0212
133
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 19.0ms (72.1% of total)
ival-add: 4.0ms (15.2% of total)
ival-sub: 2.0ms (7.6% of total)
ival-true: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.1%
(+.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 21 to 11 computations (47.6% saved)

simplify461.0ms (4.2%)

Memory
2.1MiB live, 479.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓cost-diff320
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff576
(+.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))
Rules
19 136×lower-fma.f64
19 136×lower-fma.f32
2 550×lower-+.f32
2 546×lower-+.f64
2 546×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01165
02065
13459
26559
315153
435853
5101053
6192953
7482953
8719453
0810753
Stop Event
1×iter limit
1×node limit
1×iter 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)
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))
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (neg.f64 x.im))))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize37.0ms (0.3%)

Memory
-1.9MiB live, 79.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓accuracy93.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓accuracy92.9%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy92.8%
(+.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
24.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (70.4% of total)
ival-add: 2.0ms (15.6% of total)
ival-sub: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-10.4MiB live, 27.6MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#s(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)) (patch (+.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)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(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)) (patch (+.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)) #<representation binary64>) () ())) ())
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#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
Calls

30 calls:

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

rewrite54.0ms (0.5%)

Memory
-3.5MiB live, 73.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
408×lower-fma.f64
408×lower-fma.f32
338×lower-*.f32
326×lower-*.f64
150×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
02051
17939
053638
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 77
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 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.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)
Outputs
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 (/.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
(fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(/.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (+.f64 x.im x.im))) x.re))))
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))))) (neg.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))) (neg.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))
(*.f64 (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
(*.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal 0 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(/.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (neg.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x.re (+.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im)))
(+.f64 (neg.f64 (*.f64 x.im x.im)) (*.f64 x.re x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im)))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (pow.f64 (neg.f64 (*.f64 x.im x.im)) #s(literal 3 binary64))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 (neg.f64 (*.f64 x.im x.im)) (neg.f64 (*.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (neg.f64 (*.f64 x.im x.im)) (neg.f64 (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im))))
(*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (neg.f64 (*.f64 x.im x.im))))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (neg.f64 (*.f64 x.im x.im)) x.im))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (neg.f64 (*.f64 x.im x.im))))
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (*.f64 x.im (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im)
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im)))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re))
(/.f64 (*.f64 x.re (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) x.re) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)

simplify376.0ms (3.5%)

Memory
15.4MiB live, 410.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 068×lower-fma.f64
16 068×lower-fma.f32
3 490×lower-*.f64
3 490×lower-*.f32
1 406×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057891
1182855
2585855
32562855
46883855
08692855
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
Outputs
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))

eval19.0ms (0.2%)

Memory
12.3MiB live, 51.1MiB allocated
Compiler

Compiled 4 534 to 292 computations (93.6% saved)

prune25.0ms (0.2%)

Memory
-20.9MiB live, 61.2MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New18611197
Fresh000
Picked101
Done000
Total18711198
Accuracy
99.9%
Counts
198 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.8%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
12.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))))))
22.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))))
33.5%
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶37.0%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
36.6%
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (fma.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))
▶83.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
46.9%
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶62.7%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
▶89.4%
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
46.9%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
Compiler

Compiled 712 to 272 computations (61.8% saved)

simplify444.0ms (4.1%)

Memory
-8.2MiB live, 570.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff576
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
✓cost-diff1728
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
✓cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓cost-diff128
(*.f64 x.re #s(literal 2 binary64))
✓cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓cost-diff576
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
✓cost-diff0
(neg.f64 x.im)
✓cost-diff0
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓cost-diff0
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
✓cost-diff0
(neg.f64 x.im)
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
✓cost-diff0
(-.f64 x.re x.im)
✓cost-diff0
(*.f64 (-.f64 x.re x.im) x.im)
✓cost-diff0
(+.f64 x.re x.im)
✓cost-diff448
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
Rules
14 760×lower-fma.f32
14 754×lower-fma.f64
3 000×lower-*.f32
2 966×lower-*.f64
2 620×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036311
069260
1135244
2290242
31381226
42686226
56881226
08357226
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
x.im
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(neg.f64 x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 x.re x.re (*.f64 x.im x.im))
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(neg.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 x.im (-.f64 x.re x.im))
(-.f64 x.re x.im)
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(neg.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
x.im
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(neg.f64 x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(neg.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re (+.f64 x.re x.re))
(*.f64 x.re #s(literal 2 binary64))
(+.f64 x.re x.re)
#s(literal 2 binary64)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(neg.f64 (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im)
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
#s(literal 1 binary64)
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize116.0ms (1.1%)

Memory
23.1MiB live, 216.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
✓accuracy93.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im)
✓accuracy92.8%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓accuracy26.4%
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
✓accuracy93.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓accuracy92.9%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy92.8%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
✓accuracy86.8%
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
✓accuracy100.0%
(neg.f64 x.im)
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
✓accuracy95.7%
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓accuracy93.7%
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy100.0%
(neg.f64 x.im)
✓accuracy99.9%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
✓accuracy100.0%
(*.f64 x.re (+.f64 x.im x.im))
✓accuracy100.0%
(*.f64 (-.f64 x.re x.im) x.im)
✓accuracy99.8%
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
✓accuracy92.8%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
Samples
63.0ms256×0valid
Compiler

Compiled 326 to 40 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 28.0ms (63.2% of total)
ival-add: 9.0ms (20.3% of total)
ival-sub: 3.0ms (6.8% of total)
ival-div: 3.0ms (6.8% of total)
ival-neg: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-14.8MiB live, 63.6MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())
#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())
#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (patch (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) #<representation binary64>) () ())
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) (patch (*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) #<representation binary64>) () ())
#s(alt (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (patch (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 x.re #s(literal 2 binary64)) (patch (*.f64 x.re #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (patch (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))) (patch (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im))))) (taylor 0 x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) (taylor 0 x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im)))))) (taylor 0 x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) (taylor inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) (taylor inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) (taylor inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) (taylor inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1)) (taylor inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt x.im (taylor 0 x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt x.re (taylor inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt x.re (taylor -inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt x.im (taylor inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 1 (/ x.re x.im))) (taylor inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 1 (/ x.re x.im))) (taylor inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 1 (/ x.re x.im))) (taylor inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt x.im (taylor -inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ x.re x.im) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ x.re x.im) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ x.re x.im) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ x.re x.im) 1)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ x.re x.im) 1)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ x.re x.im) 1)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor 0 x.re) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
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#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) #<representation binary64>) () ())) ())
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#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor -inf x.re) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) (taylor inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) (taylor inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1)) (taylor inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))) (taylor -inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
3.0ms
x.im
@-inf
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* x.re (* x.re (+ x.im x.im))))
3.0ms
x.re
@inf
(* x.re 2)
1.0ms
x.re
@-inf
(/ (+ (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))))
1.0ms
x.re
@inf
(/ (+ (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))))
1.0ms
x.im
@inf
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* x.re (* x.re (+ x.im x.im))))

rewrite593.0ms (5.5%)

Memory
7.6MiB live, 765.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 428×lower-fma.f32
7 422×lower-fma.f64
4 496×lower-/.f32
4 492×lower-/.f64
3 614×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036229
069171
1261137
21981137
08723137
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 2 453
Calls
Call 1
Inputs
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(+.f64 x.re x.im)
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im x.im)
(neg.f64 x.im)
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im)
Outputs
(+.f64 (+.f64 x.im x.im) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(+.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))
(-.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (+.f64 x.im x.im) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (+.f64 x.im x.im) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
(fma.f64 x.re (+.f64 x.im x.im) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im))
(fma.f64 x.im #s(literal 2 binary64) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.re x.im) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re x.re) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (*.f64 x.re x.re) (+.f64 x.im x.im) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (+.f64 x.im x.im))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re x.im) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) x.im (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 x.re x.im) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
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(fma.f64 x.re (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))))
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(fma.f64 x.im (*.f64 x.re x.re) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re))
(fma.f64 (*.f64 x.re x.re) x.im (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re x.im) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (-.f64 x.re x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (*.f64 (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (-.f64 x.re x.im))
(/.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)))
(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im))) (-.f64 x.re x.im))
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (-.f64 x.re x.im))) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)))
(/.f64 (*.f64 (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))) x.im) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (neg.f64 (neg.f64 x.im)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) x.im)) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (*.f64 x.im (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))))) (neg.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (-.f64 x.re x.im)))
(/.f64 (neg.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) (fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im)))) (neg.f64 (-.f64 x.re x.im)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))) x.im)) (neg.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 x.re x.re) x.im) (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.re x.re)) (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.re x.re)) (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re) (-.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im) (-.f64 (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re)) (*.f64 (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64))) (fma.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64))) (fma.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) #s(literal -1 binary64))
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))
(*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)))
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im))
(*.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.re x.im))
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im)
(*.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) x.im))
(*.f64 (*.f64 x.im (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(*.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(*.f64 (/.f64 x.im #s(literal 1 binary64)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (/.f64 x.im (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (neg.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im)))))

simplify355.0ms (3.3%)

Memory
4.6MiB live, 350.2MiB allocated
Algorithm
1×egg-herbie
Rules
5 040×lower-fma.f64
5 040×lower-fma.f32
2 554×lower-*.f64
2 554×lower-*.f32
1 600×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03544380
111463712
242643537
083193467
Stop Event
1×iter limit
1×node limit
Counts
468 → 459
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 x.im)
(- x.re x.im)
(- x.re x.im)
(- x.re x.im)
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
x.re
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(* -1 x.im)
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* 2 x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(/ -1 (pow x.im 2))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(/ 1 (pow x.re 2))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 2))
(/ 1 (pow x.re 2))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2))
(/ 1 (pow x.re 2))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(/ -1 (pow x.im 2))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2)) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 2))
(/ (- (* -1 (/ (+ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 2))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(pow x.re 2)
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 x.re (/.f64 x.im x.re) x.re)
x.re
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* -1 (pow x.im 2))
(*.f64 x.im (neg.f64 x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)))
(* x.im x.re)
(*.f64 x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(*.f64 x.im (neg.f64 x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im))
(* -1 (pow x.im 2))
(*.f64 x.im (neg.f64 x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im))
(* -1 x.im)
(neg.f64 x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(- x.re x.im)
(-.f64 x.re x.im)
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(fma.f64 x.re (/.f64 x.im (neg.f64 x.re)) x.re)
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(fma.f64 x.re (/.f64 x.im (neg.f64 x.re)) x.re)
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(fma.f64 x.re (/.f64 x.im (neg.f64 x.re)) x.re)
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 x.re (/.f64 x.im (neg.f64 x.re)) x.re)
(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 x.re (/.f64 x.im (neg.f64 x.re)) x.re)
(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 x.re (/.f64 x.im (neg.f64 x.re)) x.re)
x.re
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(* -1 x.im)
(neg.f64 x.im)
(* x.im (- (/ x.re x.im) 1))
(-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im)
(* x.im (- (/ x.re x.im) 1))
(-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im)
(* x.im (- (/ x.re x.im) 1))
(-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(-.f64 (/.f64 (*.f64 x.im x.re) x.im) x.im)
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
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(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 x.re (+.f64 x.re x.re)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.re (*.f64 x.re (fma.f64 (*.f64 x.im (neg.f64 x.im)) (/.f64 x.im (*.f64 x.re x.re)) x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.re (*.f64 x.re (fma.f64 (*.f64 x.im (neg.f64 x.im)) (/.f64 x.im (*.f64 x.re x.re)) x.im)))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 x.re (*.f64 x.re (fma.f64 (*.f64 x.im (neg.f64 x.im)) (/.f64 x.im (*.f64 x.re x.re)) x.im)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 x.re (*.f64 x.re (fma.f64 (*.f64 x.im (neg.f64 x.im)) (/.f64 x.im (*.f64 x.re x.re)) x.im)))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 x.im (*.f64 x.re x.re))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))

eval406.0ms (3.7%)

Memory
51.5MiB live, 942.3MiB allocated
Compiler

Compiled 115 041 to 5 006 computations (95.6% saved)

prune438.0ms (4%)

Memory
-8.5MiB live, 827.9MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New3 116143 130
Fresh426
Picked415
Done000
Total3 124173 141
Accuracy
100.0%
Counts
3 141 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) x.im) (+.f64 x.im x.im))
61.0%
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
28.9%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (/.f64 (*.f64 (*.f64 (fma.f64 x.re (*.f64 x.im (*.f64 x.re x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) x.re) (fma.f64 x.re (*.f64 x.im (*.f64 x.re x.im)) #s(literal 0 binary64)))))
86.7%
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
52.8%
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
82.7%
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
87.3%
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
▶87.3%
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
▶32.6%
(/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
22.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))))
86.6%
(+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
60.3%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
✓62.7%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
89.4%
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
▶90.2%
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
▶89.3%
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
▶46.9%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
Compiler

Compiled 694 to 343 computations (50.6% saved)

simplify233.0ms (2.1%)

Memory
9.0MiB live, 286.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
✓cost-diff0
(*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im)
✓cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
✓cost-diff128
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)))
✓cost-diff0
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓cost-diff0
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
✓cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
✓cost-diff0
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
✓cost-diff0
(*.f64 x.re #s(literal 3 binary64))
✓cost-diff0
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
✓cost-diff320
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
✓cost-diff0
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓cost-diff0
(neg.f64 (*.f64 x.im x.im))
✓cost-diff0
(*.f64 x.re #s(literal 3 binary64))
✓cost-diff0
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))
✓cost-diff0
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
Rules
6 704×lower-fma.f32
6 696×lower-fma.f64
2 630×lower-*.f32
2 602×lower-*.f64
2 384×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032275
061239
1131221
2243221
3556221
41291221
52888221
65722221
77793221
08089217
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
x.im
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(neg.f64 (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
x.im
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
x.im
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
x.im
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(neg.f64 x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im)
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)))
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
x.im
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))
(*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))
x.re
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(literal 9 binary64)
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
(neg.f64 x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
Outputs
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
x.im
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(neg.f64 (*.f64 x.im x.im))
(*.f64 x.im (neg.f64 x.im))
(*.f64 x.im x.im)
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
x.im
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
x.im
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
x.im
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(neg.f64 x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(/.f64 (*.f64 (neg.f64 x.im) (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64)))) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im)
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)))
(fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64)))
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
x.im
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))
(*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))
x.re
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(literal 9 binary64)
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(neg.f64 x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))
#s(literal -3 binary64)

localize119.0ms (1.1%)

Memory
-18.4MiB live, 183.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
✓accuracy95.9%
(*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im)
✓accuracy88.5%
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)))
✓accuracy40.8%
(/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
✓accuracy95.7%
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓accuracy93.7%
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
✓accuracy100.0%
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
✓accuracy99.9%
(*.f64 x.im (*.f64 x.im x.im))
✓accuracy99.7%
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
✓accuracy88.5%
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
✓accuracy86.8%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy100.0%
(neg.f64 (*.f64 x.im x.im))
✓accuracy96.5%
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))
✓accuracy93.7%
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
Samples
63.0ms256×0valid
Compiler

Compiled 286 to 37 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 29.0ms (65.6% of total)
ival-add: 6.0ms (13.6% of total)
ival-div: 5.0ms (11.3% of total)
ival-neg: 3.0ms (6.8% of total)
ival-sub: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
7.0MiB live, 41.2MiB allocated
Counts
21 → 396
Calls
Call 1
Inputs
#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))) (patch (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (*.f64 x.re #s(literal 3 binary64)) (patch (*.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x.im x.im)) (patch (neg.f64 (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (patch (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (patch (fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (patch (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (patch (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) #<representation binary64>) () ())
#s(alt (*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))) (patch (*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))) #<representation binary64>) () ())
#s(alt (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (patch (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) (patch (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) (patch (/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor inf x.re) (#s(alt (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) (patch (*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))) #<representation binary64>) () ())) ())
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#s(alt (pow x.im 5) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 5) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -9 (* x.im (pow x.re 4))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* -9 (* x.im (pow x.re 4))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (patch (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 4) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.im 3) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) (patch (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
Calls

99 calls:

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

rewrite647.0ms (6%)

Memory
32.7MiB live, 1 012.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
19 798×lower-fma.f32
19 790×lower-fma.f64
4 510×lower-*.f32
4 482×lower-*.f64
3 082×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032199
061158
1226148
21514142
09164136
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 2 173
Calls
Call 1
Inputs
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))
(*.f64 x.re #s(literal 3 binary64))
(neg.f64 (*.f64 x.im x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im x.im)
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
Outputs
(+.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 x.im (*.f64 x.im x.im)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))
(+.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im)))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 x.im (*.f64 x.im x.im)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im)))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 27 binary64))) (fma.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 x.im (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))) (fma.f64 x.im (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))))
(fma.f64 x.im (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 x.im (*.f64 x.im (neg.f64 x.im)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x.im x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (neg.f64 x.im) (*.f64 x.im x.im) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 x.im (neg.f64 x.im)) x.im (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im)))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 (*.f64 x.im (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (/.f64 (*.f64 x.im x.im) x.im) (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64))) (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))))
(fma.f64 (/.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (/.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))) (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))))
(fma.f64 (/.f64 x.im x.im) (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))) (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))))
(fma.f64 (/.f64 x.re x.im) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))) (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))))
(fma.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64))) (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))))
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(*.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(*.f64 (neg.f64 x.im) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (neg.f64 x.im)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 x.im)))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x.im)) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64))) (*.f64 x.im (*.f64 x.im x.im)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im x.im)))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))
(/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.im (*.f64 x.im x.im)))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 0 binary64))))
(pow.f64 x.im #s(literal 3 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 3/2 binary64))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 3 binary64))
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 x.im (*.f64 x.im (neg.f64 x.im)))
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 1 binary64))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (neg.f64 x.im) (*.f64 x.im x.im))
(*.f64 (*.f64 x.im (neg.f64 x.im)) x.im)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64)) #s(literal 0 binary64)) (fma.f64 x.re (*.f64 (*.f64 x.re x.re) (*.f64 x.re #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #s(literal 0 binary64)))
(*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.re)

simplify370.0ms (3.4%)

Memory
-61.8MiB live, 702.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 770×lower-fma.f64
9 770×lower-fma.f32
4 874×lower-*.f64
4 874×lower-*.f32
2 926×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553297
14133297
211553297
336733297
081003189
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(/ 1/3 (pow x.re 2))
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -9 (pow x.re 4))
(- (pow x.im 4) (* 9 (pow x.re 4)))
(- (pow x.im 4) (* 9 (pow x.re 4)))
(- (pow x.im 4) (* 9 (pow x.re 4)))
(pow x.im 4)
(* (pow x.im 4) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(pow x.im 4)
(* (pow x.im 4) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(pow x.im 4)
(+ (* -9 (pow x.re 4)) (pow x.im 4))
(+ (* -9 (pow x.re 4)) (pow x.im 4))
(+ (* -9 (pow x.re 4)) (pow x.im 4))
(* -9 (pow x.re 4))
(* (pow x.re 4) (- (/ (pow x.im 4) (pow x.re 4)) 9))
(* (pow x.re 4) (- (/ (pow x.im 4) (pow x.re 4)) 9))
(* (pow x.re 4) (- (/ (pow x.im 4) (pow x.re 4)) 9))
(* -9 (pow x.re 4))
(* (pow x.re 4) (- (/ (pow x.im 4) (pow x.re 4)) 9))
(* (pow x.re 4) (- (/ (pow x.im 4) (pow x.re 4)) 9))
(* (pow x.re 4) (- (/ (pow x.im 4) (pow x.re 4)) 9))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -9 (* x.im (pow x.re 4)))
(* x.im (+ (* -9 (pow x.re 4)) (pow x.im 4)))
(* x.im (+ (* -9 (pow x.re 4)) (pow x.im 4)))
(* x.im (+ (* -9 (pow x.re 4)) (pow x.im 4)))
(pow x.im 5)
(* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(pow x.im 5)
(* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1)))
(* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1)))
(* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1)))
(pow x.im 5)
(+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5))
(+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5))
(+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5))
(* -9 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(* -9 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
Outputs
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64))))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64))))
(* -1 (pow x.im 3))
(neg.f64 (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(neg.f64 (*.f64 x.im x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
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(* x.im (+ (* -9 (pow x.re 4)) (pow x.im 4)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* x.im (+ (* -9 (pow x.re 4)) (pow x.im 4)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* x.im (+ (* -9 (pow x.re 4)) (pow x.im 4)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(pow x.im 5)
(*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
(* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4)))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(pow x.im 5)
(*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
(* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* -1 (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(pow x.im 5)
(*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
(+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(+ (* -9 (* x.im (pow x.re 4))) (pow x.im 5))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* -9 (* x.im (pow x.re 4)))
(*.f64 x.im (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64)))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* -9 (* x.im (pow x.re 4)))
(*.f64 x.im (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64)))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(* (pow x.re 4) (+ (* -9 x.im) (/ (pow x.im 5) (pow x.re 4))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal -9 binary64))))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 4)
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))

eval463.0ms (4.3%)

Memory
40.9MiB live, 819.4MiB allocated
Compiler

Compiled 89 732 to 4 367 computations (95.1% saved)

prune251.0ms (2.3%)

Memory
-5.0MiB live, 607.0MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New2 766112 777
Fresh8311
Picked325
Done011
Total2 777172 794
Accuracy
100.0%
Counts
2 794 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
87.3%
(fma.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
▶52.6%
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
▶89.4%
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))))
22.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))))
62.1%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im)))))
46.9%
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
▶53.0%
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
▶60.3%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
46.9%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
53.0%
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
▶53.0%
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓62.7%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
39.3%
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (neg.f64 x.im)))))
✓90.2%
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
62.7%
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
✓46.9%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
Compiler

Compiled 478 to 257 computations (46.2% saved)

simplify199.0ms (1.8%)

Memory
2.3MiB live, 236.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
✓cost-diff0
(*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff1024
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
✓cost-diff0
(*.f64 x.im (*.f64 x.im x.im))
✓cost-diff0
(*.f64 x.im x.re)
✓cost-diff0
(*.f64 x.re (*.f64 x.im x.re))
✓cost-diff320
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
✓cost-diff0
(*.f64 x.im x.re)
✓cost-diff0
(*.f64 x.re (*.f64 x.im x.re))
✓cost-diff0
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
✓cost-diff0
(*.f64 x.re #s(literal 3 binary64))
✓cost-diff0
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓cost-diff0
(fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
✓cost-diff0
(neg.f64 x.im)
✓cost-diff1088
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))))
Rules
4 566×lower-fma.f32
4 560×lower-fma.f64
3 066×lower-*.f32
3 040×lower-*.f64
1 272×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025160
046154
192150
2225150
3599150
41589150
53432150
64932150
76444150
08221150
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))))
(neg.f64 x.im)
x.im
(/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
#s(literal 1 binary64)
(fma.f64 x.im 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))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
x.im
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
x.re
(*.f64 x.im x.re)
x.im
#s(literal 3 binary64)
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im x.re))
x.re
(*.f64 x.im x.re)
x.im
#s(literal 3 binary64)
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(*.f64 x.re x.re)
x.re
(*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
x.im
(fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(neg.f64 x.im)
(/.f64 x.im (*.f64 x.re x.re))
#s(literal 3 binary64)
Outputs
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(neg.f64 x.im)
x.im
(/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
#s(literal 1 binary64)
(fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
x.re
(*.f64 x.re #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
x.im
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re x.re))
x.re
(*.f64 x.im x.re)
x.im
#s(literal 3 binary64)
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (fma.f64 x.im x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re x.re))
x.re
(*.f64 x.im x.re)
x.im
#s(literal 3 binary64)
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(*.f64 x.re x.re)
x.re
(*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
(*.f64 x.im (-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))))
x.im
(fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))
(neg.f64 x.im)
(/.f64 x.im (*.f64 x.re x.re))
#s(literal 3 binary64)

localize127.0ms (1.2%)

Memory
-2.6MiB live, 113.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
✓accuracy97.4%
(fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
✓accuracy85.2%
(/.f64 x.im (*.f64 x.re x.re))
✓accuracy73.7%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.9%
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
✓accuracy99.9%
(*.f64 x.im (*.f64 x.im x.im))
✓accuracy99.8%
(*.f64 x.re (*.f64 x.im x.re))
✓accuracy100.0%
(*.f64 x.im x.re)
✓accuracy99.8%
(*.f64 x.re (*.f64 x.im x.re))
✓accuracy99.7%
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x.re #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓accuracy99.7%
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
✓accuracy99.8%
(*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
✓accuracy95.7%
(fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
✓accuracy93.9%
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))))
Samples
78.0ms240×0valid
12.0ms5×2valid
2.0ms4×3valid
2.0ms5×1valid
1.0ms2×4valid
Compiler

Compiled 169 to 28 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 20.0ms (61.8% of total)
ival-div: 5.0ms (15.4% of total)
ival-add: 4.0ms (12.4% of total)
adjust: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-14.8MiB live, 60.7MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())
#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))) (patch (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) (patch (*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (patch (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x.re #s(literal 3 binary64)) (patch (*.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x.re (*.f64 x.im x.re)) (patch (*.f64 x.re (*.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (*.f64 x.im x.re) (patch (*.f64 x.im x.re) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im))) (patch (fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.im x.im)) (patch (*.f64 x.im (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) (patch (*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))) (patch (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (taylor 0 x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (taylor 0 x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (taylor 0 x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor -inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor -inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor -inf x.re) (#s(alt (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) (patch (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor 0 x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor 0 x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor 0 x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor 0 x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (/ -1/3 (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) (taylor inf x.im) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) (taylor inf x.im) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x.im 2) (pow x.re 2))) (taylor -inf x.im) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) (taylor -inf x.im) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) (taylor -inf x.im) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2)))) (taylor -inf x.im) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x.im 2) (pow x.re 2))) (taylor 0 x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2)) (taylor 0 x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2)) (taylor 0 x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2)) (taylor 0 x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (taylor inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (taylor -inf x.re) (#s(alt (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (patch (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor 0 x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (patch (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.im) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor 0 x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (/ x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 x.im (*.f64 x.re x.re)) (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
Calls

96 calls:

TimeVariablePointExpression
7.0ms
x.re
@inf
(/ 1 (+ (* x.im x.im) (* x.re (* x.re -3))))
1.0ms
x.im
@inf
(* (* x.re x.re) (* x.im (+ (* (neg x.im) (/ x.im (* x.re x.re))) 3)))
1.0ms
x.im
@0
(* (* x.re x.re) (* x.im (+ (* (neg x.im) (/ x.im (* x.re x.re))) 3)))
1.0ms
x.re
@0
(* (* x.re x.re) (* x.im (+ (* (neg x.im) (/ x.im (* x.re x.re))) 3)))
1.0ms
x.im
@0
(/ (neg x.im) (/ 1 (+ (* x.im x.im) (* x.re (* x.re -3)))))

rewrite493.0ms (4.5%)

Memory
-2.3MiB live, 730.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
12 244×lower-fma.f32
12 238×lower-fma.f64
6 730×lower-*.f32
6 704×lower-*.f64
2 688×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025131
046127
1153125
2996125
08445125
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 893
Calls
Call 1
Inputs
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))))
(neg.f64 x.im)
(/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im x.re)
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(*.f64 x.re x.re)
(*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
(fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))
(*.f64 x.im x.im)
(/.f64 x.im (*.f64 x.re x.re))
Outputs
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.im x.re))) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x.im (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))))
(+.f64 (*.f64 x.im (*.f64 x.im (neg.f64 x.im))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.im x.re))))
(+.f64 (*.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) #s(literal 0 binary64)) (neg.f64 (*.f64 x.im (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.im x.re))) (*.f64 x.im (*.f64 x.im x.im)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
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(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) #s(literal 1 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))))))
(*.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re (neg.f64 x.re))) (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal -9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))))))
(*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(+.f64 (*.f64 (neg.f64 x.im) #s(literal 0 binary64)) (*.f64 x.im x.im))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (neg.f64 x.im)))
(fma.f64 (neg.f64 x.im) #s(literal 0 binary64) (*.f64 x.im x.im))
(neg.f64 (*.f64 x.im (neg.f64 x.im)))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 x.im (neg.f64 x.im)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x.im) (*.f64 x.im (neg.f64 x.im))) x.im)
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (neg.f64 x.im) #s(literal 2 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 2 binary64))
(*.f64 x.im x.im)
(*.f64 (neg.f64 x.im) (neg.f64 x.im))
(*.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (neg.f64 x.im)))
(*.f64 (*.f64 x.im (neg.f64 x.im)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 x.im)))
(+.f64 #s(literal 0 binary64) (/.f64 x.im (*.f64 x.re x.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.re x.re) x.im)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x.im (*.f64 x.re (neg.f64 x.re))))
(neg.f64 (/.f64 x.im (*.f64 x.re (neg.f64 x.re))))
(/.f64 x.im (*.f64 x.re x.re))
(/.f64 (neg.f64 x.im) (*.f64 x.re (neg.f64 x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) x.im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)))
(/.f64 (/.f64 x.im x.re) x.re)
(/.f64 (/.f64 x.im x.re) (neg.f64 (neg.f64 x.re)))
(/.f64 (/.f64 x.im (neg.f64 x.re)) (neg.f64 x.re))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.re (neg.f64 x.re))) (*.f64 (*.f64 x.re (neg.f64 x.re)) x.im)) (*.f64 (*.f64 x.re (neg.f64 x.re)) (*.f64 x.re (neg.f64 x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) (/.f64 x.im (*.f64 x.re x.re)) (*.f64 #s(literal 0 binary64) (/.f64 x.im (*.f64 x.re (neg.f64 x.re)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) (*.f64 x.re x.re))) (+.f64 #s(literal 0 binary64) (/.f64 x.im (*.f64 x.re (neg.f64 x.re)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))
(/.f64 (*.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re)
(pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 x.re x.re)))
(*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re (neg.f64 x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) #s(literal -1 binary64)))
(*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 #s(literal -1 binary64) x.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 #s(literal 1 binary64) (neg.f64 x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 x.im x.re))
(*.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 x.im (neg.f64 x.re)))
(*.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64)) x.im)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal -1 binary64)) (neg.f64 x.im))

simplify399.0ms (3.7%)

Memory
11.3MiB live, 712.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 068×lower-fma.f64
13 068×lower-fma.f32
5 162×lower-*.f64
5 162×lower-*.f32
2 398×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542892
14202820
212172820
343052820
081942748
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ -1/3 (pow x.re 2))
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(/ 1 (pow x.im 2))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ 1 (pow x.im 2))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(pow x.im 3)
(+ (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* 3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* 3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* 3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* 3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* 3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* 3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* 3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* 3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* 3 (pow x.re 2)) (pow x.im 2)))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* 3 x.im)
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
3
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2))
3
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
3
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
Outputs
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* -1 (pow x.im 3))
(*.f64 x.im (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* -1 (pow x.im 3))
(*.f64 x.im (*.f64 x.im (neg.f64 x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* -1 (pow x.im 3))
(*.f64 x.im (*.f64 x.im (neg.f64 x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(/ -1/3 (pow x.re 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re))
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(/.f64 (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1/9 binary64) (*.f64 x.re x.re)) #s(literal -1/3 binary64)) (*.f64 x.re x.re))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 x.im x.im) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1/27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1/9 binary64) (*.f64 x.re x.re)) #s(literal -1/3 binary64)) (*.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1/81 binary64) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (/.f64 (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1/9 binary64) (*.f64 x.re x.re)) #s(literal -1/3 binary64)) (*.f64 x.re x.re)))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 1 binary64))) (*.f64 x.im x.im))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (fma.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 x.im x.im))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (fma.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 1 binary64))) (*.f64 x.im x.im))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (fma.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal 9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 x.im x.im))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.f64 (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (*.f64 x.re x.re) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
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eval242.0ms (2.2%)

Memory
26.1MiB live, 419.8MiB allocated
Compiler

Compiled 29 690 to 2 474 computations (91.7% saved)

prune178.0ms (1.6%)

Memory
-18.7MiB live, 512.9MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New1 40071 407
Fresh459
Picked235
Done033
Total1 406181 424
Accuracy
100.0%
Counts
1 424 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
✓52.6%
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
89.3%
(/.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) (/.f64 #s(literal -1 binary64) x.im))
48.1%
(/.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.im x.re)))) x.im)
62.7%
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
77.2%
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) x.re) (*.f64 x.im x.re))
53.0%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
46.9%
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
✓53.0%
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
✓60.3%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
29.1%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))
46.9%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
53.0%
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
✓62.7%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
39.3%
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (neg.f64 x.im)))))
✓90.2%
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
22.7%
(*.f64 x.im (*.f64 x.im x.im))
✓46.9%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
Compiler

Compiled 1 010 to 294 computations (70.9% saved)

regimes38.0ms (0.4%)

Memory
-2.8MiB live, 76.9MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.im x.re)))) x.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))
(/.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) x.re) (*.f64 x.im 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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im)))))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (neg.f64 x.im)))))
(+.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) x.im) (+.f64 x.im x.im))
(/.f64 (*.f64 (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))) x.im) (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (/.f64 (*.f64 (*.f64 (fma.f64 x.re (*.f64 x.im (*.f64 x.re x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) x.re) (fma.f64 x.re (*.f64 x.im (*.f64 x.re x.im)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (fma.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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (fma.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))))))
Outputs
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
Calls

3 calls:

13.0ms
x.re
12.0ms
x.im
12.0ms
(+.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
95.5%2x.re
99.4%2x.im
99.4%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes12.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
Outputs
(fma.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
Calls

2 calls:

6.0ms
x.im
5.0ms
(+.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
99.4%2x.im
99.5%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 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory
-22.5MiB live, 16.9MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
Outputs
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
Calls

1 calls:

6.0ms
x.im
Results
AccuracySegmentsBranch
99.4%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
Outputs
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
Calls

2 calls:

5.0ms
x.im
4.0ms
(+.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
99.5%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))
98.1%3x.im
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes5.0ms (0%)

Memory
-27.4MiB live, 12.1MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 x.im (fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im)))
Outputs
(*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
Calls

1 calls:

4.0ms
(+.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
99.4%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 21 to 11 computations (47.6% saved)

regimes4.0ms (0%)

Memory
12.4MiB live, 12.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
Outputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))
Calls

1 calls:

3.0ms
(+.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
99.3%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 21 to 11 computations (47.6% saved)

regimes11.0ms (0.1%)

Memory
-15.3MiB live, 23.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
Outputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

3 calls:

3.0ms
x.re
3.0ms
x.im
3.0ms
(+.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
87.2%2x.re
82.7%2x.im
96.2%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)

regimes3.0ms (0%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
Outputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

1 calls:

3.0ms
(+.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
96.1%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 21 to 11 computations (47.6% saved)

regimes2.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
Outputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

1 calls:

2.0ms
(+.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
90.0%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 21 to 11 computations (47.6% saved)

regimes6.0ms (0.1%)

Memory
-19.4MiB live, 21.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x.im (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Outputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im (*.f64 x.im x.im))
Calls

3 calls:

2.0ms
x.im
2.0ms
x.re
1.0ms
(+.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
62.7%1x.im
65.3%2x.re
66.2%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)

regimes4.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x.im
1.0ms
x.re
1.0ms
(+.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
22.7%1x.im
22.7%1(+.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))
22.7%1x.re
Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch40.0ms (0.4%)

Memory
-9.1MiB live, 29.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
3.555614787791522e+46
4.029793701619149e+49
Samples
9.0ms128×0valid
Compiler

Compiled 272 to 160 computations (41.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (66.9% of total)
ival-sub: 1.0ms (16.7% of total)
ival-add: 1.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.555614787791522e+46
4.029793701619149e+49
Compiler

Compiled 272 to 160 computations (41.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
383448885555.194
2003046822358875.3
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.0269051897700378e-149
7.06347368188159e-149
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-9.921552998e-314
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-9.921552998e-314
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-9.921552998e-314
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-9.921552998e-314
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch13.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
3.384838492494494e+167
1.4990502677376025e+169
Samples
7.0ms112×0valid
Compiler

Compiled 143 to 93 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (78.1% of total)
ival-add: 1.0ms (19.5% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify21.0ms (0.2%)

Memory
-15.8MiB live, 20.8MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-commutative_binary64
16×+-commutative_binary64
10×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067537
1105537
2116537
3120537
4121537
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 39999999999999997859611077901927172787489659158528 binary64)) (fma.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 39999999999999997859611077901927172787489659158528 binary64)) (fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 500000000000 binary64)) (*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 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 +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 x.re #s(literal 12500000000000000430238178866405660114714221287177218433836705959383137245328930944236533226843103414812147385643427864384728965151127427455419744937537540196834406825984 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (*.f64 x.im x.im))
Outputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im)))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 39999999999999997859611077901927172787489659158528 binary64)) (fma.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 39999999999999997859611077901927172787489659158528 binary64)) (fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 39999999999999997859611077901927172787489659158528 binary64)) (fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 39999999999999997859611077901927172787489659158528 binary64)) (fma.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 500000000000 binary64)) (*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 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 +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 500000000000 binary64)) (*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 (*.f64 x.re 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.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 4606887725612233/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (*.f64 x.im (fma.f64 x.im (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) #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.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 x.re #s(literal 12500000000000000430238178866405660114714221287177218433836705959383137245328930944236533226843103414812147385643427864384728965151127427455419744937537540196834406825984 binary64)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (*.f64 x.im (*.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 12500000000000000430238178866405660114714221287177218433836705959383137245328930944236533226843103414812147385643427864384728965151127427455419744937537540196834406825984 binary64)) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.im (*.f64 x.im x.im))

soundness1.6s (15.1%)

Memory
4.2MiB live, 953.0MiB allocated
Rules
19 798×lower-fma.f32
19 790×lower-fma.f64
16 068×lower-fma.f64
16 068×lower-fma.f32
13 068×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542892
14202820
212172820
343052820
081942748
036229
069171
1261137
21981137
08723137
01151
02051
17939
053638
032199
061158
1226148
21514142
09164136
057891
1182855
2585855
32562855
46883855
08692855
025131
046127
1153125
2996125
08445125
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 063 to 305 computations (71.3% saved)

preprocess252.0ms (2.3%)

Memory
-12.4MiB live, 182.5MiB allocated
Remove

(abs x.re)

Compiler

Compiled 1 632 to 348 computations (78.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...