math.cube on complex, real part

Time bar (total: 13.0s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.6MiB 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)

sample965.0ms (7.4%)

Memory
55.3MiB live, 1 381.5MiB allocated
Samples
710.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 515.0ms
ival-mult: 398.0ms (77.3% of total)
ival-sub: 68.0ms (13.2% of total)
ival-add: 40.0ms (7.8% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess615.0ms (4.7%)

Memory
-19.7MiB live, 696.8MiB allocated
Algorithm
1×egg-herbie
Rules
22 902×lower-fma.f64
22 902×lower-fma.f32
3 052×lower-*.f32
3 040×lower-*.f64
2 270×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031107
110689
230885
3126755
4319055
5516655
6621855
7653655
8679155
9688655
10690355
11782555
01119
02019
13817
28017
323611
466611
5213711
6428811
7631611
8739911
9772211
10776111
11776111
0805210
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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
Symmetry

(abs x.im)

(negabs x.re)

explain219.0ms (1.7%)

Memory
-3.7MiB live, 236.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-0-(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
200-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
140-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
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.im)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))nan-rescue240
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)overflow117
↳(*.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.im) (*.f64 x.im x.re)) x.im)overflow73
↳(*.f64 x.im x.re)overflow35
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow35
↳(*.f64 x.re x.im)overflow35
-.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 x.re x.re) (*.f64 x.im x.im)) x.re)n*o140
Confusion
Predicted +Predicted -
+490
-0207
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4900
-00207
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0207
140
29
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms512×0valid
Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 35.0ms (82.5% of total)
ival-sub: 4.0ms (9.4% of total)
ival-add: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.1%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify511.0ms (3.9%)

Memory
17.0MiB live, 612.2MiB 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.re)
✓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-diff704
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Rules
22 902×lower-fma.f64
22 902×lower-fma.f32
3 052×lower-*.f32
3 040×lower-*.f64
2 270×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01165
02065
13859
28059
323653
466653
5213753
6428853
7631653
8739953
9772253
10776153
11776153
0805252
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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.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.im)
(+.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (*.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.im)
(*.f64 x.re (*.f64 x.im (+.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)

localize35.0ms (0.3%)

Memory
-10.9MiB live, 27.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓accuracy94.8%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓accuracy92.9%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy92.4%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Samples
20.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (74.6% of total)
ival-sub: 2.0ms (16.6% of total)
ival-add: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<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.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())
Outputs
#s(alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
Calls

30 calls:

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

rewrite95.0ms (0.7%)

Memory
9.8MiB live, 84.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
348×lower-fma.f64
348×lower-fma.f32
336×lower-*.f32
324×lower-*.f64
152×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
02051
18339
057238
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 92
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.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.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(+.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
(-.f64 (/.f64 (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (/.f64 (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))
(fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (neg.f64 x.im) (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))))
(/.f64 (*.f64 (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))))) (neg.f64 (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (neg.f64 (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))) (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
(*.f64 (*.f64 (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 (neg.f64 (*.f64 x.re x.im)) (neg.f64 (*.f64 x.re x.im)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (+.f64 x.im x.im)))
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im x.im))) #s(literal 0 binary64)) (/.f64 (*.f64 x.re (*.f64 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))
(neg.f64 (*.f64 x.re (+.f64 x.im x.im)))
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (neg.f64 (fma.f64 x.re (*.f64 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 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (neg.f64 (fma.f64 x.re (*.f64 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 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 (fma.f64 x.re (*.f64 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 x.re (*.f64 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 x.re (*.f64 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 #s(literal -1 binary64) (*.f64 x.re (+.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))
(+.f64 (*.f64 x.im (neg.f64 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 (*.f64 x.im 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 (*.f64 x.im x.im) (*.f64 x.im x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(fma.f64 x.re x.re (*.f64 x.im (neg.f64 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)) (*.f64 x.im (neg.f64 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 (*.f64 x.im 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 (*.f64 x.im 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 (*.f64 x.im (neg.f64 x.im)) #s(literal 3 binary64))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 (*.f64 x.im (neg.f64 x.im)) (*.f64 x.im (neg.f64 x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 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 (*.f64 x.im 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 (*.f64 x.im (neg.f64 x.im)) (*.f64 x.im (neg.f64 x.im)))) (-.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 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 (*.f64 x.im 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.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.im (neg.f64 x.im))))
(+.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (*.f64 x.im (neg.f64 x.im)) x.re))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.im (neg.f64 x.im))))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 x.im (neg.f64 x.im)) x.re))
(/.f64 (*.f64 x.re (-.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 (*.f64 x.im 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.re (*.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 (*.f64 x.im x.im) (*.f64 x.im x.im)))) 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 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.re) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(+.f64 (*.f64 x.im (*.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 x.im (*.f64 x.re x.im)))
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 (*.f64 x.re x.im) x.im))
(neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(/.f64 (*.f64 x.im (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) x.im) (fma.f64 x.re (*.f64 x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))

simplify315.0ms (2.4%)

Memory
-22.5MiB live, 453.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 920×lower-fma.f64
12 920×lower-fma.f32
2 972×lower-*.f64
2 972×lower-*.f32
1 384×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056924
1169852
2519852
32117852
45791852
08250834
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 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 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 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #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.re x.im) (-.f64 x.re x.im))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.re x.im) (-.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.re x.im) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.re x.im) (-.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.re x.im) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.re x.im) (-.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.re x.im) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.re x.im) (-.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.re x.im) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.re x.im) (-.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.re x.im) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(* -1 (* (pow x.im 2) x.re))
(neg.f64 (*.f64 x.re (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* -1 (* (pow x.im 2) x.re))
(neg.f64 (*.f64 x.re (*.f64 x.im x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* -1 (* (pow x.im 2) x.re))
(neg.f64 (*.f64 x.re (*.f64 x.im x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))

eval21.0ms (0.2%)

Memory
5.0MiB live, 44.1MiB allocated
Compiler

Compiled 4 901 to 320 computations (93.5% saved)

prune24.0ms (0.2%)

Memory
9.6MiB live, 49.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New20012212
Fresh000
Picked101
Done000
Total20112213
Accuracy
99.9%
Counts
213 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.0%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
31.0%
(-.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.re) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
12.1%
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
15.8%
(-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (pow.f64 (*.f64 x.im (neg.f64 x.im)) #s(literal 3 binary64))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 (*.f64 x.im (neg.f64 x.im)) (*.f64 x.im (neg.f64 x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
33.9%
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (neg.f64 x.im)) (*.f64 x.im (neg.f64 x.im)))) (-.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
15.8%
(-.f64 (*.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 (*.f64 x.im 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)))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶32.7%
(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶90.4%
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
64.4%
(-.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶91.2%
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
55.0%
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
▶55.5%
(*.f64 x.re (*.f64 x.re x.re))
Compiler

Compiled 904 to 320 computations (64.6% saved)

simplify383.0ms (3%)

Memory
-26.3MiB live, 512.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re)
✓cost-diff320
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff704
(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓cost-diff2752
(*.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))))
✓cost-diff0
(+.f64 x.re x.im)
✓cost-diff0
(*.f64 x.re (+.f64 x.re x.im))
✓cost-diff0
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
✓cost-diff704
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
✓cost-diff0
(fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓cost-diff0
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(*.f64 x.re (*.f64 x.re x.re))
✓cost-diff0
(neg.f64 x.im)
✓cost-diff0
(+.f64 x.im x.im)
✓cost-diff0
(*.f64 x.re (+.f64 x.im x.im))
✓cost-diff704
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
Rules
12 642×lower-fma.f32
12 636×lower-fma.f64
3 396×lower-*.f32
3 364×lower-*.f64
2 594×lower--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031293
059276
1125268
2311236
31369236
43214216
57520216
08549216
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.im x.im))
x.re
(+.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.re (+.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 x.re (*.f64 x.re x.re))
x.re
(*.f64 x.re x.re)
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
x.re
(fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.re (+.f64 x.re x.im))
x.re
(+.f64 x.re x.im)
x.im
(-.f64 x.re x.im)
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) 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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re)
(*.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 (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 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.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)))
#s(literal 1 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.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 (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(*.f64 x.re (+.f64 x.im x.im))
x.re
(+.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 x.re (*.f64 x.re x.re))
x.re
(*.f64 x.re x.re)
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
x.re
(fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.re x.im))
x.re
(+.f64 x.re x.im)
x.im
(-.f64 x.re x.im)
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (+.f64 x.im x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re)
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re 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 (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 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.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)))
#s(literal 1 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.re (*.f64 x.im (+.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)

localize143.0ms (1.1%)

Memory
-1.4MiB live, 191.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))
✓accuracy94.8%
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re)
✓accuracy92.4%
(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓accuracy30.6%
(*.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))))
✓accuracy100.0%
(*.f64 x.re (+.f64 x.re x.im))
✓accuracy99.9%
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
✓accuracy99.8%
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
✓accuracy92.4%
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
✓accuracy96.5%
(fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓accuracy94.7%
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.9%
(*.f64 x.re (*.f64 x.re x.re))
✓accuracy100.0%
(neg.f64 x.im)
✓accuracy100.0%
(*.f64 x.re (+.f64 x.re x.im))
✓accuracy99.8%
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
✓accuracy93.7%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
Samples
75.0ms256×0valid
Compiler

Compiled 307 to 34 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 24.0ms (63.7% of total)
ival-add: 7.0ms (18.6% of total)
ival-sub: 3.0ms (8% of total)
ival-div: 2.0ms (5.3% of total)
ival-neg: 1.0ms (2.7% 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
-5.8MiB live, 47.9MiB allocated
Counts
20 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re 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 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.re (*.f64 x.re x.re)) (patch (*.f64 x.re (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt (*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (patch (*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (patch (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (patch (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))) (patch (-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (patch (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (*.f64 x.re (+.f64 x.re x.im)) (patch (*.f64 x.re (+.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (patch (-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #<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 (*.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)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())
Outputs
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 x.im) (taylor 0 x.im) (#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 x.im) (taylor 0 x.im) (#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 x.im) (taylor 0 x.im) (#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 x.im) (taylor 0 x.im) (#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 x.im) (taylor inf x.im) (#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())) ())
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#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.re x.im)) (patch (*.f64 x.re (+.f64 x.re x.im)) #<representation binary64>) () ())) ())
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#s(alt (* x.im x.re) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.re x.im)) (patch (*.f64 x.re (+.f64 x.re x.im)) #<representation binary64>) () ())) ())
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#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) (taylor 0 x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (taylor 0 x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (taylor 0 x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (taylor inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor -inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (patch (*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.im 2)) (taylor 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) (taylor 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 6)) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) (taylor 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2)) (taylor inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.im 2)) (taylor inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2)) (taylor inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2)) (taylor inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2)) (taylor inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2)) (taylor -inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2)) (taylor -inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2)) (taylor -inf x.im) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
2.0ms
x.re
@-inf
(* (* (+ (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) (- x.re x.im))) (/ 1 (+ (* x.re x.re) (* x.im x.im))))
2.0ms
x.re
@0
(+ (* (* x.re (+ x.im x.im)) (neg x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im)))
1.0ms
x.re
@0
(/ 1 (+ (* x.re x.re) (* x.im x.im)))
0.0ms
x.re
@inf
(+ (* (* x.re (+ x.im x.im)) (neg x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im)))
0.0ms
x.re
@0
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))

rewrite512.0ms (3.9%)

Memory
40.8MiB live, 707.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 890×lower-fma.f32
6 884×lower-fma.f64
4 100×lower-/.f32
4 098×lower-/.f64
3 788×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031200
059160
1231126
21794126
08253123
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 783
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(neg.f64 x.im)
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.re (+.f64 x.re x.im))
(+.f64 x.re 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 (*.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)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re)
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))
Outputs
(+.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))))) (fma.f64 (fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (/.f64 (+.f64 x.im x.im) (fma.f64 (fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (/.f64 (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (-.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))))
(-.f64 (/.f64 (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (fma.f64 x.re (*.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)) (fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))))) (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)))) (/.f64 (+.f64 x.im x.im) (fma.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))))) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (*.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))) (/.f64 (+.f64 x.im x.im) (fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (*.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))))
(fma.f64 x.re (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im))
(fma.f64 x.im (+.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.im #s(literal 2 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) x.im (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (neg.f64 x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.im) (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
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(*.f64 #s(literal -1 binary64) (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (neg.f64 x.im)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 x.im x.im))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 8 binary64))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))) (+.f64 x.im x.im))
(*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (+.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 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (+.f64 x.im x.im))
(*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (+.f64 x.im x.im))
(*.f64 (*.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 x.im))
(*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (+.f64 x.im x.im))
(*.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (+.f64 x.im x.im))
(*.f64 (neg.f64 (*.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x.re) (+.f64 x.im x.im))
(*.f64 (*.f64 (neg.f64 x.im) x.re) (+.f64 x.im x.im))
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 (*.f64 (+.f64 x.im x.im) #s(literal -1 binary64)) x.im)
(*.f64 (*.f64 x.re #s(literal 2 binary64)) x.im)
(*.f64 #s(literal 8 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))))
(*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x.im (neg.f64 x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (+.f64 x.im x.im))
(*.f64 (pow.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x.re x.im)) #s(literal 3 binary64)) (+.f64 x.im x.im))
(*.f64 (pow.f64 (*.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) (+.f64 x.im x.im))
(*.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (pow.f64 (*.f64 (+.f64 x.im x.im) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (pow.f64 (*.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) #s(literal 3 binary64)) (+.f64 x.im x.im))
(*.f64 (pow.f64 (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x.im x.im) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im 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 (*.f64 x.re (*.f64 x.im (*.f64 x.re x.im))) (fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im 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 (/.f64 (*.f64 x.re x.re) (*.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.im 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))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))))
(/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) (fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im 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 (*.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 (neg.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (neg.f64 (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))))))
(/.f64 (neg.f64 (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))))))
(pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im 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) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.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)))

simplify464.0ms (3.6%)

Memory
-0.0MiB live, 617.6MiB allocated
Algorithm
1×egg-herbie
Rules
13 516×lower-fma.f64
13 516×lower-fma.f32
3 246×lower-*.f64
3 246×lower-*.f32
2 780×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02923938
19133236
227723068
082822958
Stop Event
1×iter limit
1×node limit
Counts
408 → 402
Calls
Call 1
Inputs
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) 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)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 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)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 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)
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -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)
(pow x.im 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* x.im x.re)
(* x.re (+ x.im x.re))
(* x.re (+ x.im x.re))
(* x.re (+ x.im x.re))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(pow x.re 2)
(+ (* x.im x.re) (pow x.re 2))
(+ (* x.im x.re) (pow x.re 2))
(+ (* x.im x.re) (pow x.re 2))
(* x.im x.re)
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im x.re)
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) 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.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))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 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 x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(/ 1 (pow x.im 2))
(+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (- (/ (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 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ 1 (pow x.re 2))
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))
(/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ 1 (pow x.re 2))
(+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(/ 1 (pow x.im 2))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2))
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ 1 (pow x.im 2))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2))
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
Outputs
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
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(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* -1 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* -1 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))))
(* -1 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im x.im))
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 6)) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(fma.f64 (*.f64 x.re x.re) (/.f64 (*.f64 x.re x.re) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im x.im)))
(+ (* (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)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 x.re (/.f64 (*.f64 x.re (neg.f64 x.re)) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im x.im)))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)) (*.f64 x.re x.re))
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) (*.f64 x.re x.re))
(/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)) (*.f64 x.re x.re))
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) (*.f64 x.re x.re))
(/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))
(/.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)) (*.f64 x.re x.re))
(+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(fma.f64 (*.f64 x.im x.im) (/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)) (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(fma.f64 (*.f64 x.im x.im) (*.f64 x.im (fma.f64 x.im (/.f64 (*.f64 x.im (neg.f64 x.im)) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 x.im (pow.f64 x.re #s(literal 6 binary64))))) (/.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re (neg.f64 x.re))) #s(literal 1 binary64)) (*.f64 x.re x.re)))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) (*.f64 x.im x.im))
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.im x.im))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) (*.f64 x.im x.im))
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.im x.im))

eval398.0ms (3.1%)

Memory
30.2MiB live, 918.5MiB allocated
Compiler

Compiled 90 847 to 4 416 computations (95.1% saved)

prune434.0ms (3.3%)

Memory
-11.7MiB live, 714.2MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New2 800162 816
Fresh617
Picked325
Done000
Total2 809192 828
Accuracy
100.0%
Counts
2 828 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶14.1%
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))
12.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) x.re) (+.f64 x.im x.im))
58.9%
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
74.5%
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
39.8%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))))))
69.0%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)))
▶89.1%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)))
▶86.9%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
86.1%
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)))
86.9%
(fma.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (*.f64 x.re (*.f64 x.re x.re)))
55.5%
(pow.f64 x.re #s(literal 3 binary64))
▶60.1%
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
40.3%
(-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
65.3%
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
✓91.2%
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
55.0%
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓55.5%
(*.f64 x.re (*.f64 x.re x.re))
55.0%
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
▶55.1%
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
Compiler

Compiled 631 to 323 computations (48.8% saved)

simplify524.0ms (4%)

Memory
44.2MiB live, 747.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x.im x.im (*.f64 x.re x.re))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
✓cost-diff320
(*.f64 #s(literal 1 binary64) x.re)
✓cost-diff2432
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))
✓cost-diff0
(*.f64 x.re (*.f64 x.re x.re))
✓cost-diff0
(*.f64 x.im #s(literal -3 binary64))
✓cost-diff0
(*.f64 x.re x.im)
✓cost-diff320
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
✓cost-diff0
(*.f64 x.re (-.f64 x.re x.im))
✓cost-diff0
(+.f64 x.re x.im)
✓cost-diff0
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))
✓cost-diff0
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(*.f64 x.re (*.f64 x.im x.im))
✓cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
✓cost-diff0
(+.f64 x.im x.im)
✓cost-diff0
(*.f64 x.re (+.f64 x.im x.im))
✓cost-diff704
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)))
✓cost-diff896
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
Rules
24 936×lower-fma.f32
24 926×lower-fma.f64
4 772×lower-*.f32
4 742×lower-*.f64
3 070×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031235
062238
1139238
2456234
32036210
44233195
08496193
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.im x.im))
x.re
(+.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
#s(literal -3 binary64)
(*.f64 x.re (*.f64 x.im x.im))
x.re
(*.f64 x.im x.im)
x.im
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (-.f64 x.re x.im))
(-.f64 x.re x.im)
(+.f64 x.im x.im)
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re x.re)
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))
(/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 1 binary64) x.re)
#s(literal 1 binary64)
x.re
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re x.re)
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(-.f64 x.re x.im)
(*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(+.f64 x.re x.im)
(+.f64 x.im x.im)
Outputs
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 x.re (+.f64 x.im x.im))
x.re
(+.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(*.f64 x.re (+.f64 x.re x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
#s(literal -3 binary64)
(*.f64 x.re (*.f64 x.im x.im))
x.re
(*.f64 x.im x.im)
x.im
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(-.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im))) (+.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))
(*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 x.re (-.f64 x.re x.im))
(-.f64 x.re x.im)
(+.f64 x.im x.im)
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re x.re)
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))
(+.f64 x.im (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) x.im))
(/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 x.re (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 #s(literal 1 binary64) x.re)
x.re
#s(literal 1 binary64)
x.re
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.im))
x.im
(*.f64 x.re x.re)
(*.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 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(-.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) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(+.f64 x.re x.im)
(+.f64 x.im x.im)

localize159.0ms (1.2%)

Memory
-19.3MiB live, 230.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))))
✓accuracy99.9%
(*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
✓accuracy69.8%
(/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
✓accuracy68.8%
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))
✓accuracy100.0%
(*.f64 x.re x.im)
✓accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
✓accuracy99.9%
(*.f64 x.re (*.f64 x.re x.re))
✓accuracy88.6%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
✓accuracy100.0%
(+.f64 x.re x.im)
✓accuracy100.0%
(+.f64 x.im x.im)
✓accuracy100.0%
(*.f64 x.re (-.f64 x.re x.im))
✓accuracy99.8%
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
✓accuracy89.3%
(*.f64 x.re (*.f64 x.im x.im))
✓accuracy99.9%
(fma.f64 x.re (/.f64 x.re x.im) x.re)
✓accuracy99.8%
(*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))
✓accuracy94.8%
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
✓accuracy93.7%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)))
Samples
69.0ms256×0valid
Compiler

Compiled 250 to 37 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 29.0ms (57.6% of total)
ival-add: 14.0ms (27.8% of total)
ival-div: 3.0ms (6% of total)
ival-sub: 2.0ms (4% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
19.1MiB live, 56.4MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re 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 x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im))) (patch (*.f64 #s(literal -3 binary64) (*.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 x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im)) (patch (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re))) (patch (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.im) (patch (*.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.im #s(literal -3 binary64)) (patch (*.f64 x.im #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x.re (*.f64 x.re x.re)) (patch (*.f64 x.re (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)) (patch (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) x.re) (patch (*.f64 #s(literal 1 binary64) x.re) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (fma.f64 x.im x.im (*.f64 x.re x.re)) (patch (fma.f64 x.im x.im (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)) (patch (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())
Outputs
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2)))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2)))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2)))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2)))))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2)))))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2)))))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))) (taylor inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) x.im))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) x.im))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.re (+.f64 x.im x.im)) (patch (*.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
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#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (patch (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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 (* x.im x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.re (* -1 x.im))) (taylor 0 x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 x.re (-.f64 x.re x.im)) (patch (*.f64 x.re (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
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#s(alt (pow x.im 3) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (patch (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow x.im 4)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2))))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re)))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 4)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (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 (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 4)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (patch (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #<representation binary64>) () ())) ())
Calls

123 calls:

TimeVariablePointExpression
3.0ms
x.re
@0
(* x.re (- x.re x.im))
1.0ms
x.im
@inf
(/ (* 1 x.re) (+ (* x.im x.im) (* x.re x.re)))
1.0ms
x.re
@0
(+ (* (* x.re (+ x.im x.im)) (neg x.im)) (* (* x.im (+ (* x.re (/ x.re x.im)) x.re)) (- x.re x.im)))
0.0ms
x.im
@-inf
(* x.im (+ (* x.re (/ x.re x.im)) x.re))
0.0ms
x.re
@inf
(+ (* (* x.re (+ x.im x.im)) (neg x.im)) (* (* x.im (+ (* x.re (/ x.re x.im)) x.re)) (- x.re x.im)))

rewrite432.0ms (3.3%)

Memory
-52.2MiB live, 745.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 540×lower-fma.f32
5 530×lower-fma.f64
5 190×lower-*.f32
5 160×lower-*.f64
3 672×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031193
062183
1243183
22228183
08091182
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 263
Calls
Call 1
Inputs
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im x.im))
(*.f64 x.im x.im)
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))
(+.f64 x.re x.im)
(*.f64 x.re (-.f64 x.re x.im))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 x.re x.im)
(*.f64 x.im #s(literal -3 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))
(*.f64 #s(literal 1 binary64) x.re)
(/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))))
Outputs
(+.f64 (*.f64 x.im x.re) (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)))
(+.f64 (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.im x.re))
(fma.f64 x.im x.re (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)))
(fma.f64 x.im (/.f64 (*.f64 x.re x.re) x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)))
(fma.f64 x.re (*.f64 (/.f64 x.re x.im) x.im) (*.f64 x.im x.re))
(fma.f64 x.re (*.f64 #s(literal 1 binary64) x.im) (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)))
(fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re))
(fma.f64 (*.f64 x.im x.re) (/.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 (*.f64 x.im x.re) #s(literal 1 binary64) (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im x.re) (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)))
(fma.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im (*.f64 x.im x.re))
(fma.f64 (*.f64 x.im #s(literal 1 binary64)) x.re (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)))
(fma.f64 (*.f64 x.im (/.f64 x.re x.im)) x.re (*.f64 x.im x.re))
(/.f64 (fma.f64 (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (*.f64 (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (fma.f64 (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)) (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.im x.re)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (-.f64 (*.f64 x.re (*.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.im x.re)))
(/.f64 (*.f64 x.im (fma.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re)))) (fma.f64 x.re (-.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im x.im))))
(/.f64 (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im x.im)) (*.f64 x.re x.re))) (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)))
(/.f64 (*.f64 (fma.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re))) x.im) (fma.f64 x.re (-.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im x.im))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im x.im)) (*.f64 x.re x.re)) x.im) (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
(+.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(+.f64 (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))
(-.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))) (/.f64 (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (*.f64 (-.f64 x.re x.im) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))))
(fma.f64 x.im (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(fma.f64 x.re (neg.f64 (*.f64 (+.f64 x.im x.im) x.im)) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 x.re (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 x.im x.im) x.im))) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im)) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(fma.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(fma.f64 (+.f64 x.im x.im) (*.f64 x.re (neg.f64 x.im)) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im))))
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x.re
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 1 binary64)))
(pow.f64 x.re #s(literal 1 binary64))
(*.f64 x.re #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x.re)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x.re (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(neg.f64 (/.f64 (neg.f64 x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re))
(/.f64 (neg.f64 x.re) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
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(/.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(pow.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))
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(*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re)
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(+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
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(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 (neg.f64 x.im) (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 (*.f64 x.re x.re) #s(literal 1 binary64) (*.f64 x.im x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re)) (*.f64 x.im x.im))
(fma.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 x.im)) (*.f64 x.re x.re))
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(+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(+.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.re)))))
(+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (neg.f64 x.im)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.im x.im)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.re x.re)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.re x.re)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.im x.im)))
(+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.re))) (-.f64 x.re x.im)))
(+.f64 (*.f64 x.re (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 (neg.f64 x.im) (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(+.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 (*.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(fma.f64 x.re (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (neg.f64 x.im) (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.re)))))
(fma.f64 (*.f64 x.im x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(fma.f64 (*.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(fma.f64 (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re (*.f64 (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (neg.f64 x.im)))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.im x.im) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.re x.re) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im (*.f64 x.im (+.f64 x.im x.re))) (-.f64 x.re x.im) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.re))) (-.f64 x.re x.im)))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 (*.f64 x.im 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)))))) (fma.f64 x.im (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))
(/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)) (-.f64 x.re x.im))) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)))
(/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (+.f64 x.im x.re))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (+.f64 x.im x.re) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 x.re x.im)))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(*.f64 (*.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (-.f64 x.re x.im))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.re))

simplify391.0ms (3%)

Memory
25.9MiB live, 690.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 304×lower-fma.f64
8 304×lower-fma.f32
4 486×lower-*.f64
4 486×lower-*.f32
2 518×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05264350
117443790
257543690
086073562
Stop Event
1×iter limit
1×node limit
Counts
492 → 471
Calls
Call 1
Inputs
(pow x.re 2)
(+ (* x.im x.re) (pow x.re 2))
(+ (* x.im x.re) (pow x.re 2))
(+ (* x.im x.re) (pow x.re 2))
(* x.im x.re)
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im x.re)
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* x.im x.re)
(* x.re (+ x.im x.re))
(* x.re (+ x.im x.re))
(* x.re (+ x.im x.re))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) x.im))) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) 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)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(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)
(* -2 x.im)
(- (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(- (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) (* 2 x.im))
(- (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (* 2 x.im))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ x.im (pow x.re 3))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (/ x.im x.re)) (pow x.im 2)) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (- (* x.re (+ x.re (* -1 x.re))) 2)) (pow x.re 3))
(+ (* x.im (- (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))) 2)) (pow x.re 3))
(+ (* x.im (- (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))) 2)) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 (/ 1 x.im))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ 2 (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ 2 (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re))))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ 2 (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re))))) x.im))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) 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 (* 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)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 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)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(* 2 x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 3))) (/ x.im x.re))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -2 (/ x.im x.re)) (pow x.im 2)) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (+ 2 (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ 2 (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))))) (pow x.re 3))
(+ (* x.im (+ 2 (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (* x.re (+ x.re (* -1 x.re))) 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) 2) x.im))))
x.re
x.re
x.re
x.re
x.re
x.re
x.re
x.re
x.re
x.re
x.re
x.re
(/ x.re (pow x.im 2))
(* x.re (+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))))
(* x.re (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 6)) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))))
(* x.re (+ (* (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 x.re)
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) x.re)
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) x.re)
(/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) x.re)
(/ 1 x.re)
(* -1 (/ (- (/ (pow x.im 2) (pow x.re 2)) 1) x.re))
(* -1 (/ (- (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) x.re))
(* -1 (/ (- (/ (pow x.im 6) (pow x.re 6)) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 4) (pow x.re 4))))) x.re))
(/ 1 x.re)
(+ (* -1 (/ (pow x.im 2) (pow x.re 3))) (/ 1 x.re))
(+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 5)) (/ 1 (pow x.re 3)))) (/ 1 x.re))
(+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 7))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))) (/ 1 x.re))
(/ x.re (pow x.im 2))
(/ (+ x.re (* -1 (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ x.re (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (pow x.re 7) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/ x.re (pow x.im 2))
(/ (+ x.re (* -1 (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ x.re (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (pow x.re 7) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 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.im 2) (pow x.re 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(pow x.im 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)
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 3)
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
x.re
(* x.re (+ 1 (/ x.re x.im)))
(* x.re (+ 1 (/ x.re x.im)))
(* x.re (+ 1 (/ x.re x.im)))
(/ (pow x.re 2) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(/ (pow x.re 2) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(/ (pow x.re 2) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (pow x.re 2) x.im))
x.re
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (pow x.re 2) x.im))
(pow x.im 3)
(+ (* (pow x.im 2) x.re) (pow x.im 3))
(+ (* x.re (+ (* x.im x.re) (pow x.im 2))) (pow x.im 3))
(+ (* x.re (+ (* x.re (+ x.im x.re)) (pow x.im 2))) (pow x.im 3))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (/ x.im x.re)))
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (pow x.re 2)) (pow x.re 3))
(+ (* x.im (+ (* x.im x.re) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* x.im (+ x.im x.re)) (pow x.re 2))) (pow x.re 3))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1)))
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(pow x.re 4)
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
Outputs
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.re x.im))
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.re x.im))
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.re x.im))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im x.re)
(*.f64 x.re x.im)
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (*.f64 x.im x.im) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64))))
(pow x.re 3)
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(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(* (pow x.im 3) (+ 1 (/ x.re x.im)))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.im (/.f64 x.re x.im) x.im))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) (/.f64 x.re x.im)))))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))
(*.f64 x.im (*.f64 (*.f64 x.im x.im) (+.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) (fma.f64 x.re (/.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im x.im))) (/.f64 x.re x.im))))))
(pow x.im 3)
(*.f64 x.im (*.f64 x.im x.im))
(* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1)))
(*.f64 (*.f64 x.im x.im) (fma.f64 x.im (/.f64 x.re x.im) x.im))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (/.f64 (fma.f64 x.re x.re (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)) x.im)) x.im)) (*.f64 x.im (*.f64 x.im (neg.f64 x.im))))
(* -1 (pow x.im 4))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x.im (neg.f64 (/.f64 x.im (*.f64 x.re x.re))) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (neg.f64 (/.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (+.f64 (-.f64 (fma.f64 x.im (/.f64 (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re))) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) (/.f64 x.im x.re))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 1 binary64))))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(pow.f64 x.re #s(literal 4 binary64))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))
(pow.f64 x.re #s(literal 4 binary64))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))
(pow.f64 x.re #s(literal 4 binary64))
(* -1 (pow x.im 4))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 (neg.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (+.f64 (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) (/.f64 x.re x.im)) #s(literal -1 binary64))))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)) (/.f64 (fma.f64 x.re (neg.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) x.re) x.im)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im)))))))
(* -1 (pow x.im 4))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
(neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))

eval309.0ms (2.4%)

Memory
21.1MiB live, 632.9MiB allocated
Compiler

Compiled 71 768 to 4 278 computations (94% saved)

prune333.0ms (2.6%)

Memory
-11.6MiB live, 571.4MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2 022112 033
Fresh9312
Picked505
Done022
Total2 036162 052
Accuracy
100.0%
Counts
2 052 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.7%
(fma.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im)) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
12.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) x.re) (+.f64 x.im x.im))
▶86.5%
(fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
▶89.4%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)))
55.5%
(pow.f64 x.re #s(literal 3 binary64))
60.1%
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
▶60.1%
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
55.0%
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
60.1%
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
65.3%
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
✓91.2%
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
✓55.5%
(*.f64 x.re (*.f64 x.re x.re))
38.2%
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
▶23.0%
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
4.9%
(*.f64 x.im #s(literal -2 binary64))
▶2.7%
(*.f64 #s(literal 2 binary64) x.im)
Compiler

Compiled 383 to 213 computations (44.4% saved)

simplify506.0ms (3.9%)

Memory
-31.7MiB live, 740.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x.re x.im)
✓cost-diff0
(fma.f64 x.re (/.f64 x.re x.im) x.re)
✓cost-diff0
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im))
✓cost-diff1216
(fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
✓cost-diff0
(*.f64 x.im #s(literal -3 binary64))
✓cost-diff0
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)
✓cost-diff0
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
✓cost-diff0
(*.f64 x.re x.im)
✓cost-diff0
(-.f64 #s(literal -2 binary64) (*.f64 x.re x.im))
✓cost-diff0
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
✓cost-diff128
(*.f64 #s(literal 2 binary64) x.im)
✓cost-diff0
(+.f64 x.im x.im)
✓cost-diff0
(*.f64 x.re (+.f64 x.im x.im))
✓cost-diff320
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)))
✓cost-diff1216
(fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re))
Rules
21 544×lower-fma.f32
21 536×lower-fma.f64
3 560×lower-*.f32
3 538×lower-*.f64
2 320×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026175
051173
1109165
2270162
3866160
42867152
56365152
08257150
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.im x.im))
x.re
(+.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))
(fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re))
(/.f64 x.re x.im)
(*.f64 x.im x.re)
(-.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
x.im
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
x.im
(-.f64 #s(literal -2 binary64) (*.f64 x.re x.im))
#s(literal -2 binary64)
(*.f64 x.re x.im)
x.re
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)
(*.f64 x.im #s(literal -3 binary64))
x.im
#s(literal -3 binary64)
x.re
(fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
x.re
(/.f64 x.re x.im)
x.im
(-.f64 x.re x.im)
(neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
Outputs
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)))
(*.f64 x.re (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.im x.im))))
(*.f64 x.re (+.f64 x.im x.im))
x.re
(+.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(/.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
(+.f64 x.im x.im)
#s(literal 2 binary64)
x.im
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
x.im
(-.f64 #s(literal -2 binary64) (*.f64 x.re x.im))
#s(literal -2 binary64)
(*.f64 x.re x.im)
x.re
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.im #s(literal -3 binary64))
x.im
#s(literal -3 binary64)
x.re
(fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(*.f64 x.re (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 x.im (+.f64 x.im x.im))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.re x.im) x.re))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
x.re
(/.f64 x.re x.im)
x.im
(-.f64 x.re x.im)
(neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(*.f64 #s(literal -2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)

localize151.0ms (1.2%)

Memory
16.2MiB live, 172.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im))
✓accuracy99.9%
(fma.f64 x.re (/.f64 x.re x.im) x.re)
✓accuracy99.9%
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
✓accuracy88.4%
(fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
✓accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
✓accuracy99.9%
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
✓accuracy99.7%
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)
✓accuracy100.0%
(-.f64 #s(literal -2 binary64) (*.f64 x.re x.im))
✓accuracy100.0%
(*.f64 x.re x.im)
✓accuracy99.9%
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) x.im)
✓accuracy100.0%
(neg.f64 x.im)
✓accuracy99.8%
(*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))
✓accuracy94.4%
(fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re))
✓accuracy93.7%
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)))
Samples
87.0ms256×0valid
Compiler

Compiled 185 to 32 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 58.0ms (81.5% of total)
ival-add: 6.0ms (8.4% of total)
ival-div: 2.0ms (2.8% of total)
ival-sub: 2.0ms (2.8% of total)
ival-neg: 2.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
18.4MiB live, 53.5MiB allocated
Counts
18 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re 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 x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x.im) (patch (*.f64 #s(literal 2 binary64) x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im))) (patch (*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)) (patch (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.im) (patch (*.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) (patch (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (patch (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) #<representation binary64>) () ())
#s(alt (*.f64 x.im #s(literal -3 binary64)) (patch (*.f64 x.im #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))) (patch (fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())
#s(alt (/.f64 x.re x.im) (patch (/.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())
Outputs
#s(alt (* x.im x.re) (taylor 0 x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (patch (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))) (taylor 0 x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))) (taylor inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) (patch (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
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#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1))) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))) (taylor inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))) (taylor inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))) (taylor inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) (taylor -inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) (taylor -inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) (taylor -inf x.im) (#s(alt (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re 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 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 (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (patch (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())) ())
Calls

96 calls:

TimeVariablePointExpression
7.0ms
x.im
@0
(* x.im (- -2 (* x.re x.im)))
0.0ms
x.im
@inf
(* x.im (- -2 (* x.re x.im)))
0.0ms
x.re
@0
(* x.im (- -2 (* x.re x.im)))
0.0ms
x.re
@-inf
(* x.im (- -2 (* x.re x.im)))
0.0ms
x.im
@inf
(* 2 x.im)

rewrite456.0ms (3.5%)

Memory
-18.7MiB live, 853.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 388×lower-fma.f32
7 380×lower-fma.f64
4 580×lower-*.f32
4 558×lower-*.f64
4 396×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026135
051133
1202125
21504123
08174121
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 987
Calls
Call 1
Inputs
(fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)))
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(-.f64 #s(literal -2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)
(*.f64 x.im #s(literal -3 binary64))
(fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/.f64 x.re x.im)
(*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im))
(neg.f64 x.im)
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
Outputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))) (*.f64 x.re x.im))
(+.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64)))) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im))) (neg.f64 (/.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re x.im))) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im)))))
(-.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64)))) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im))) (/.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re x.im))) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im))))
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re x.im))) (-.f64 (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64)))) (-.f64 (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))))))
(fma.f64 x.re x.im (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))))
(fma.f64 x.re (*.f64 x.re #s(literal 1 binary64)) (*.f64 x.re x.im))
(fma.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))))
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(*.f64 (*.f64 (fma.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 x.im x.im)))))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 x.im x.im)) (*.f64 x.re x.re)) (*.f64 x.im (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re))))
(*.f64 (*.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.im (*.f64 x.re x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 1 binary64)))) (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.im) (-.f64 (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64)))) (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 1 binary64))) (*.f64 x.re (*.f64 x.re #s(literal 1 binary64)))))))
(*.f64 (*.f64 (*.f64 (*.f64 x.re (fma.f64 x.re #s(literal 1 binary64) x.im)) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im))) (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im))))
(*.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) (-.f64 x.re x.im)) (*.f64 x.re (fma.f64 x.re #s(literal 1 binary64) x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im)))))
(*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re (fma.f64 x.re #s(literal 1 binary64) x.im))) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))
(*.f64 (/.f64 (-.f64 x.re x.im) x.re) (/.f64 (*.f64 (*.f64 x.re (fma.f64 x.re #s(literal 1 binary64) x.im)) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im))) (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im)))
(*.f64 (/.f64 (*.f64 (*.f64 x.re (fma.f64 x.re #s(literal 1 binary64) x.im)) (*.f64 x.re (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im))) x.re) (/.f64 (-.f64 x.re x.im) (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im)))
(+.f64 #s(literal 0 binary64) (neg.f64 x.im))
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 #s(literal 0 binary64) x.im)))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 #s(literal 0 binary64) x.im)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x.im)) (/.f64 (*.f64 x.im x.im) (+.f64 #s(literal 0 binary64) x.im)))
(neg.f64 x.im)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 #s(literal 0 binary64) x.im))) (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x.im) (neg.f64 (*.f64 x.im x.im))))
(/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (+.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 #s(literal 0 binary64) x.im))))
(/.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (neg.f64 x.im)))))
(/.f64 (neg.f64 (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 #s(literal 0 binary64) x.im)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x.im x.im))) (neg.f64 (+.f64 #s(literal 0 binary64) x.im)))
(*.f64 x.im #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 #s(literal 0 binary64) x.im)))))
(*.f64 (neg.f64 (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x.im)))
(+.f64 (*.f64 x.im (*.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im))
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 x.im (*.f64 x.re x.im)))
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 (*.f64 x.re x.im) x.im))
(/.f64 (*.f64 x.re x.im) (+.f64 x.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.re x.im) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.im) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 x.im (*.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re x.im)) (-.f64 (*.f64 (*.f64 x.im (*.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im) (-.f64 (*.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im)))))
(*.f64 x.re (*.f64 (+.f64 x.im x.im) x.im))
(*.f64 x.re (*.f64 x.im (+.f64 x.im x.im)))
(*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 (*.f64 x.re x.im) (+.f64 x.im x.im))
(*.f64 (+.f64 x.im x.im) (*.f64 x.re x.im))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal 2 binary64))
(*.f64 (*.f64 x.im (+.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))

simplify450.0ms (3.5%)

Memory
-1.4MiB live, 991.5MiB allocated
Algorithm
1×egg-herbie
Rules
21 810×lower-fma.f64
21 810×lower-fma.f32
3 818×lower-+.f64
3 818×lower-+.f32
3 376×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02212765
17672375
224842277
084212223
Stop Event
1×iter limit
1×node limit
Counts
384 → 381
Calls
Call 1
Inputs
(* x.im x.re)
(* x.re (+ x.im x.re))
(* x.re (+ x.im x.re))
(* x.re (+ x.im x.re))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(pow x.re 2)
(+ (* x.im x.re) (pow x.re 2))
(+ (* x.im x.re) (pow x.re 2))
(+ (* x.im x.re) (pow x.re 2))
(* x.im x.re)
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* x.im x.re)
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) 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)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -2 x.im)
(* x.im (- (* -1 (* x.im x.re)) 2))
(* x.im (- (* -1 (* x.im x.re)) 2))
(* x.im (- (* -1 (* x.im x.re)) 2))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (- (* -1 x.re) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 (/ 1 x.im))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (- (* -1 x.re) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 (/ 1 x.im))))
(* -2 x.im)
(+ (* -2 x.im) (* -1 (* (pow x.im 2) x.re)))
(+ (* -2 x.im) (* -1 (* (pow x.im 2) x.re)))
(+ (* -2 x.im) (* -1 (* (pow x.im 2) x.re)))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -2 (/ x.im x.re)) (* -1 (pow x.im 2))))
(* x.re (+ (* -2 (/ x.im x.re)) (* -1 (pow x.im 2))))
(* x.re (+ (* -2 (/ x.im x.re)) (* -1 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* -1 (* x.re (+ (* 2 (/ x.im x.re)) (pow x.im 2))))
(* -1 (* x.re (+ (* 2 (/ x.im x.re)) (pow x.im 2))))
(* -1 (* x.re (+ (* 2 (/ x.im x.re)) (pow x.im 2))))
-2
(- (* -1 (* x.im x.re)) 2)
(- (* -1 (* x.im x.re)) 2)
(- (* -1 (* x.im x.re)) 2)
(* -1 (* x.im x.re))
(* -1 (* x.re (+ x.im (* 2 (/ 1 x.re)))))
(* -1 (* x.re (+ x.im (* 2 (/ 1 x.re)))))
(* -1 (* x.re (+ x.im (* 2 (/ 1 x.re)))))
(* -1 (* x.im x.re))
(* -1 (* x.re (- (* 2 (/ 1 x.re)) (* -1 x.im))))
(* -1 (* x.re (- (* 2 (/ 1 x.re)) (* -1 x.im))))
(* -1 (* x.re (- (* 2 (/ 1 x.re)) (* -1 x.im))))
-2
(- (* -1 (* x.im x.re)) 2)
(- (* -1 (* x.im x.re)) 2)
(- (* -1 (* x.im x.re)) 2)
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* 2 (/ 1 x.im)))))
(* -1 (* x.im (+ x.re (* 2 (/ 1 x.im)))))
(* -1 (* x.im (+ x.re (* 2 (/ 1 x.im)))))
(* -1 (* x.im x.re))
(* -1 (* x.im (- (* 2 (/ 1 x.im)) (* -1 x.re))))
(* -1 (* x.im (- (* 2 (/ 1 x.im)) (* -1 x.re))))
(* -1 (* x.im (- (* 2 (/ 1 x.im)) (* -1 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)
(* x.im x.re)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) 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.im x.re))
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (pow x.re 2)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (pow x.re 2)))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* -1 (* x.im x.re))
(* x.re (+ (* -1 x.im) (/ (pow x.re 2) x.im)))
(* x.re (+ (* -1 x.im) (/ (pow x.re 2) x.im)))
(* x.re (+ (* -1 x.im) (/ (pow x.re 2) x.im)))
(/ (pow x.re 3) x.im)
(* (pow x.re 3) (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 3) (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 3) (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(/ (pow x.re 3) x.im)
(* -1 (* (pow x.re 3) (- (/ x.im (pow x.re 2)) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (/ x.im (pow x.re 2)) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (/ x.im (pow x.re 2)) (/ 1 x.im))))
(/ (pow x.re 3) x.im)
(/ (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)) x.im)
(/ (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3)) x.im)
(/ (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3)) x.im)
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))
(* x.im (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* x.im (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (+ (/ (pow x.re 3) x.im) (pow x.re 2))) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (+ (/ (pow x.re 3) x.im) (pow x.re 2))) x.im)))))
x.re
(* x.re (+ 1 (/ x.re x.im)))
(* x.re (+ 1 (/ x.re x.im)))
(* x.re (+ 1 (/ x.re x.im)))
(/ (pow x.re 2) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(/ (pow x.re 2) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(/ (pow x.re 2) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (pow x.re 2) x.im))
x.re
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (pow x.re 2) x.im))
(+ x.re (/ (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 x.im)
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) 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)
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
Outputs
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.im x.re))
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.im x.re))
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.im x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(fma.f64 x.re (/.f64 x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.im x.re))
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.im x.re))
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.im x.re))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im x.re)
(*.f64 x.im x.re)
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(*.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(*.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1)))
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))) x.re)) 1)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal -3 binary64) #s(literal 1 binary64))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re))) x.re)) 1)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal -3 binary64) #s(literal 1 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3))
(*.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (pow x.re 2)))) (pow x.re 3))
(*.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im)))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.re #s(literal -3 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2)))))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.re #s(literal -3 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)))
(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.re #s(literal -3 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)))
(* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))))
(*.f64 x.im (fma.f64 x.im (*.f64 x.re #s(literal -3 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)))
(* 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)))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(* 2 x.im)
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(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))
(* (pow x.re 3) (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))
(/ (pow x.re 3) x.im)
(/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)
(* -1 (* (pow x.re 3) (- (/ x.im (pow x.re 2)) (/ 1 x.im))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (/ x.im (pow x.re 2)) (/ 1 x.im))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (/ x.im (pow x.re 2)) (/ 1 x.im))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re))))
(/ (pow x.re 3) x.im)
(/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)
(/ (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)) x.im)
(/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)
(/ (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3)) x.im)
(/.f64 (*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) x.im)
(/ (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3)) x.im)
(/.f64 (*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) x.im)
(* -1 (* x.im x.re))
(*.f64 x.im (neg.f64 x.re))
(* x.im (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))
(*.f64 x.im (neg.f64 x.re))
(* x.im (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(* x.im (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(* -1 (* x.im x.re))
(*.f64 x.im (neg.f64 x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))))
(*.f64 x.im (neg.f64 x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (+ (/ (pow x.re 3) x.im) (pow x.re 2))) x.im)))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(* -1 (* x.im (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (+ (/ (pow x.re 3) x.im) (pow x.re 2))) x.im)))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))
x.re
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.im x.re)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.im x.re)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.im x.re)) x.im)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ 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.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.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.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.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.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.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.im)
(/.f64 x.re x.im)
(/ x.re x.im)
(/.f64 x.re x.im)
(/ x.re x.im)
(/.f64 x.re x.im)
(* -1 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1)))
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (fma.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(*.f64 x.re (*.f64 x.re x.re))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(* -1 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(*.f64 x.im (*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(*.f64 x.im (*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* -1 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im))))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))
(*.f64 x.im (*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))
(*.f64 x.im (*.f64 x.re (-.f64 (/.f64 (*.f64 x.re x.re) 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)
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))

eval327.0ms (2.5%)

Memory
28.5MiB live, 316.9MiB allocated
Compiler

Compiled 63 352 to 2 892 computations (95.4% saved)

prune392.0ms (3%)

Memory
-8.4MiB live, 274.7MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1 51271 519
Fresh369
Picked325
Done022
Total1 518171 535
Accuracy
100.0%
Counts
1 535 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.7%
(fma.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im)) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
86.4%
(fma.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
55.5%
(pow.f64 x.re #s(literal 3 binary64))
2.7%
(+.f64 x.im x.im)
60.1%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
✓60.1%
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
60.1%
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
55.0%
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
65.3%
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
✓91.2%
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
✓55.5%
(*.f64 x.re (*.f64 x.re x.re))
38.2%
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
95.9%
(*.f64 x.im (fma.f64 x.re (neg.f64 (+.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.re x.im) x.re))))
90.4%
(*.f64 x.im (fma.f64 x.im (*.f64 x.re #s(literal -3 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)))
✓23.0%
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
38.7%
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
4.9%
(*.f64 x.im #s(literal -2 binary64))
Compiler

Compiled 1 091 to 270 computations (75.3% saved)

regimes147.0ms (1.1%)

Memory
-25.5MiB live, 53.9MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)))
(-.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.re #s(literal -3 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.im (fma.f64 x.re (neg.f64 (+.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.re x.im) x.re))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (-.f64 x.re x.im)))
(fma.f64 (*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (-.f64 x.re x.im)) x.im (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(fma.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (*.f64 x.im (-.f64 x.re x.im)) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(fma.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)) (neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) (*.f64 x.im x.re) (*.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) x.re) (+.f64 x.im x.im))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.im))
(-.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.re) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (/.f64 (*.f64 #s(literal 1 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))))))
(-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (neg.f64 x.im)) (*.f64 x.im (neg.f64 x.im)))) (-.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(-.f64 (*.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 (*.f64 x.im 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)))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (pow.f64 (*.f64 x.im (neg.f64 x.im)) #s(literal 3 binary64))) (fma.f64 x.re (*.f64 x.re (*.f64 x.re x.re)) (-.f64 (*.f64 (*.f64 x.im (neg.f64 x.im)) (*.f64 x.im (neg.f64 x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (*.f64 x.re (+.f64 x.im x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
Outputs
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 x.im (fma.f64 x.re (neg.f64 (+.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.re x.im) x.re))))
Calls

3 calls:

82.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
50.0ms
x.re
13.0ms
x.im
Results
AccuracySegmentsBranch
99.8%2x.re
99.9%2x.im
99.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes60.0ms (0.5%)

Memory
-3.8MiB live, 35.0MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)))
(-.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 x.im (fma.f64 x.im (*.f64 x.re #s(literal -3 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re x.re)) x.im)))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
Calls

3 calls:

43.0ms
x.re
9.0ms
x.im
7.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
99.8%2x.re
99.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
98.6%3x.im
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes16.0ms (0.1%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)))
(-.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re (+.f64 x.im x.im))))
Outputs
(fma.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (*.f64 x.re (*.f64 x.re x.re)))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
Calls

2 calls:

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

Compiled 24 to 13 computations (45.8% saved)

regimes33.0ms (0.3%)

Memory
-17.4MiB live, 20.7MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
Outputs
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
Calls

2 calls:

27.0ms
x.re
6.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
99.0%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
99.4%3x.re
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
Outputs
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))
Calls

1 calls:

5.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
99.8%3(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes27.0ms (0.2%)

Memory
-18.1MiB live, 19.9MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
Outputs
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
Calls

2 calls:

21.0ms
x.re
5.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
99.1%3x.re
99.4%3(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
Outputs
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 x.re (*.f64 x.re x.re))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
Calls

1 calls:

5.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
99.3%3(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes16.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
Outputs
(*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im)
(*.f64 x.re (*.f64 x.re x.re))
Calls

3 calls:

5.0ms
x.re
5.0ms
x.im
5.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
84.8%2x.im
84.9%2x.re
95.4%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes90.0ms (0.7%)

Memory
-55.5MiB live, 7.0MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
Outputs
(*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.re (*.f64 x.re x.re))
Calls

1 calls:

89.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
95.4%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes4.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
Outputs
(*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 x.re x.re))
Calls

1 calls:

3.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
90.3%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes9.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.im (neg.f64 x.im)))
(*.f64 x.im (-.f64 #s(literal -2 binary64) (*.f64 x.re x.im)))
Outputs
(*.f64 x.im (*.f64 x.im (neg.f64 x.re)))
(*.f64 x.re (*.f64 x.re x.re))
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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
71.5%2x.im
63.5%2x.re
74.0%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes7.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
Outputs
(*.f64 x.im #s(literal -2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
Calls

3 calls:

2.0ms
x.re
2.0ms
x.im
2.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
55.5%1x.re
55.5%1x.im
57.4%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes6.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal -2 binary64))
Outputs
(*.f64 x.im #s(literal -2 binary64))
Calls

3 calls:

2.0ms
x.re
2.0ms
x.im
2.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
4.9%1x.re
4.9%1x.im
4.9%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes108.0ms (0.8%)

Memory
-31.6MiB live, 7.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

104.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
1.0ms
x.im
1.0ms
x.re
Results
AccuracySegmentsBranch
2.7%1x.im
2.7%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
2.7%1x.re
Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch12.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
10.0ms
2.9918741273348266e-13
1.448845514777709e-12
Samples
7.0ms96×0valid
Compiler

Compiled 240 to 136 computations (43.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (65.1% of total)
ival-sub: 1.0ms (21.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2730683458038005e-179
3.506678335669129e-97
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch13.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
9.85736525129676e+68
1.8427497447884786e+70
Samples
8.0ms112×0valid
Compiler

Compiled 241 to 142 computations (41.1% saved)

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

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4275240217819365e-275
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2730683458038005e-179
3.506678335669129e-97
0.0ms
-5.157873844037291e+81
-1.6565447888996382e+78
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch8.0ms (0.1%)

Memory
-37.8MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2730683458038005e-179
3.506678335669129e-97
0.0ms
-5.157873844037291e+81
-1.6565447888996382e+78
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.2730683458038005e-179
3.506678335669129e-97
0.0ms
-5.8e-322
-0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5.8e-322
-0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5.8e-322
-0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5.8e-322
-0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5.8e-322
-0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.81038702819677e-125
-1.451463827548105e-141
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify14.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Algorithm
1×egg-herbie
Rules
68×*-commutative_binary64
28×+-commutative_binary64
24×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080544
1129544
2160544
3178544
4184544
5185544
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (fma.f64 x.re (neg.f64 (+.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.re x.im) x.re)))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 17999999999999999773070314001637373912503712223328211580588660615020544 binary64)) (fma.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) (fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.re))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (*.f64 x.im #s(literal -2 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 x.im #s(literal -2 binary64))
(+.f64 x.im x.im)
Outputs
(if (<=.f64 x.im #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (fma.f64 x.re (neg.f64 (+.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.re x.im) x.re)))))
(if (<=.f64 x.im #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (fma.f64 x.re (-.f64 (neg.f64 x.im) x.im) (*.f64 (-.f64 x.re x.im) (fma.f64 x.re (/.f64 x.re x.im) x.re)))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (*.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.im x.re)))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 17999999999999999773070314001637373912503712223328211580588660615020544 binary64)) (fma.f64 x.im (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 17999999999999999773070314001637373912503712223328211580588660615020544 binary64)) (fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.re (-.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) (fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) (fma.f64 (+.f64 x.im x.im) x.re (*.f64 (+.f64 x.im x.re) (*.f64 x.re (-.f64 x.re x.im)))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (*.f64 x.im (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))) (if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.re (-.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.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (*.f64 x.im (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))) (if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.im x.re)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) (if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) (if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal 2919961995278205/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.im x.re)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) x.im) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im (*.f64 x.im (neg.f64 x.re))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -101/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im (*.f64 x.re (neg.f64 x.im))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (*.f64 x.im #s(literal -2 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) #s(literal -4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (*.f64 x.im #s(literal -2 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 x.im #s(literal -2 binary64))
(+.f64 x.im x.im)

soundness2.6s (19.9%)

Memory
23.8MiB live, 1 404.9MiB allocated
Rules
21 810×lower-fma.f64
21 810×lower-fma.f32
13 516×lower-fma.f64
13 516×lower-fma.f32
12 920×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02212765
17672375
224842277
084212223
031193
062183
1243183
22228183
08091182
02923938
19133236
227723068
082822958
05264350
117443790
257543690
086073562
026135
051133
1202125
21504123
08174121
01151
02051
18339
057238
031200
059160
1231126
21794126
08253123
056924
1169852
2519852
32117852
45791852
08250834
Stop Event
1×fuel
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
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 054 to 355 computations (66.3% saved)

preprocess142.0ms (1.1%)

Memory
6.4MiB live, 161.1MiB allocated
Remove

(negabs x.re)

Compiler

Compiled 1 388 to 314 computations (77.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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