math.cube on complex, imaginary part

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

sample1.7s (18.9%)

Memory
4.6MiB live, 1 146.4MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 800.0ms
ival-mult: 668.0ms (83.5% of total)
ival-add: 64.0ms (8% of total)
ival-sub: 60.0ms (7.5% of total)
ival-true: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain313.0ms (3.4%)

Memory
13.2MiB live, 146.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2844(1.7896629712016315e+283 1.1347539468020554e+62)0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
210-21(1.6250325138011597e+220 -1.1664269759858991e+238)(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
190-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-(*.f64 x.re x.im)
041(1.7896629712016315e+283 1.1347539468020554e+62)0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))nan-rescue720
↳(*.f64 x.re x.re)overflow70
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow117
↳(*.f64 x.im x.im)overflow68
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow114
↳(*.f64 x.im x.re)overflow41
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow72
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow41
↳(*.f64 x.re x.im)overflow41
+.f64(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))nan-rescue410
↳(*.f64 x.re x.im)overflow41
↳(*.f64 x.im x.re)overflow41
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o190
Confusion
Predicted +Predicted -
+590
-32165
Precision
0.6483516483516484
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5900
-320165
Precision?
0.6483516483516484
Recall?
1.0
Freqs
test
numberfreq
0165
150
241
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
151.0ms512×0valid
Compiler

Compiled 218 to 48 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-mult: 104.0ms (76.7% of total)
ival-sub: 27.0ms (19.9% of total)
ival-add: 4.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess331.0ms (3.6%)

Memory
11.8MiB live, 124.3MiB allocated
Algorithm
1×egg-herbie
Rules
19 136×lower-fma.f64
19 136×lower-fma.f32
2 550×lower-+.f32
2 546×lower-+.f64
2 546×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

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

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.2%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify389.0ms (4.3%)

Memory
8.4MiB live, 207.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
Rules
19 136×lower-fma.f64
19 136×lower-fma.f32
2 550×lower-+.f32
2 546×lower-+.f64
2 546×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01165
02065
13459
26559
315153
435853
5101053
6192953
7482953
8719453
0810753
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize107.0ms (1.2%)

Memory
-19.2MiB live, 55.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy4.559252015387077
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy4.640606422471853
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy7.081973453245762
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
99.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 88.0ms (95.8% of total)
ival-add: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#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 (* 2 (* x.im x.re)) (taylor 0 x.im) (#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 (* 2 (* x.im x.re)) (taylor 0 x.im) (#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 (* 2 (* x.im x.re)) (taylor 0 x.im) (#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 (pow x.re 2) (taylor 0 x.im) (#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 (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#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 (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#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 (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#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 (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#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 (* 2 (* x.im x.re)) (taylor inf x.im) (#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 (* 2 (* x.im x.re)) (taylor inf x.im) (#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 (* 2 (* x.im x.re)) (taylor inf x.im) (#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 (* -1 (pow x.im 2)) (taylor inf x.im) (#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 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#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 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#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 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#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 (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#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 (* 2 (* x.im x.re)) (taylor -inf x.im) (#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 (* 2 (* x.im x.re)) (taylor -inf x.im) (#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>) () ())) ())
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#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#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 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#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 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#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 (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) (taylor -inf x.im) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#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 (* 2 (* x.im x.re)) (taylor 0 x.re) (#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 (* 2 (* x.im x.re)) (taylor 0 x.re) (#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 (* 2 (* x.im x.re)) (taylor 0 x.re) (#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 (* -1 (pow x.im 2)) (taylor 0 x.re) (#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 (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#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 (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#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 (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#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 (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#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 (* 2 (* x.im x.re)) (taylor inf x.re) (#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 (* 2 (* x.im x.re)) (taylor inf x.re) (#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 (* 2 (* x.im x.re)) (taylor inf x.re) (#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 (pow x.re 2) (taylor inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#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 (* x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#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 (* 2 (* x.im x.re)) (taylor -inf x.re) (#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 (* 2 (* x.im x.re)) (taylor -inf x.re) (#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 (* 2 (* x.im x.re)) (taylor -inf x.re) (#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 (pow x.re 2) (taylor -inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#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 (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify281.0ms (3.1%)

Memory
2.4MiB live, 162.0MiB allocated
Algorithm
1×egg-herbie
Rules
16 068×lower-fma.f64
16 068×lower-fma.f32
3 490×lower-*.f64
3 490×lower-*.f32
1 406×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057909
1182891
2585891
32559891
46916891
08750891
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(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))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -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))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(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)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(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)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
Outputs
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))

rewrite197.0ms (2.2%)

Memory
-8.2MiB live, 85.9MiB allocated
Rules
408×lower-fma.f64
408×lower-fma.f32
338×lower-*.f32
326×lower-*.f64
150×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
02054
17942
053641
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
6 → 81
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.re x.re)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (+.f64 x.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re))
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re)))

eval101.0ms (1.1%)

Memory
-24.2MiB live, 48.4MiB allocated
Compiler

Compiled 4 344 to 318 computations (92.7% saved)

prune26.0ms (0.3%)

Memory
21.4MiB live, 58.2MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New20211213
Fresh000
Picked101
Done000
Total20311214
Accuracy
99.9%
Counts
214 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.5%
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
18.1%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
36.5%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶77.2%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶76.2%
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶88.8%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
59.6%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶49.9%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
84.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
▶49.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
56.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Compiler

Compiled 422 to 270 computations (36% saved)

simplify289.0ms (3.2%)

Memory
0.7MiB live, 243.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff704
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff12800
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff704
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff0
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff0
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff448
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (*.f64 x.re x.re) x.im)
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff704
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Rules
20 310×lower-fma.f64
20 310×lower-fma.f32
3 202×lower-*.f32
3 176×lower-*.f64
2 318×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042318
068290
1110290
2173290
3352264
4807264
51904264
64403264
76992264
08300263
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im)
(-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(*.f64 (log.f64 x.re) #s(literal 2 binary64))
(log.f64 x.re)
x.re
#s(literal 2 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) x.re #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))) x.im)
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) 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 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(*.f64 x.re x.re)
(*.f64 (log.f64 x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 x.re))
(log.f64 x.re)
x.re
#s(literal 2 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize242.0ms (2.6%)

Memory
4.4MiB live, 124.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.8065776771885513
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
accuracy4.559252015387077
(*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im)
accuracy4.640606422471853
(-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im))
accuracy7.081973453245762
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy0.13671875
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy4.559252015387077
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy4.640606422471853
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy7.081973453245762
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy4.559252015387077
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy7.081973453245762
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy28.39390514278735
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy0
(*.f64 x.re x.re)
accuracy0.15234375
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy7.540601640260707
(*.f64 (*.f64 x.re x.re) x.im)
accuracy27.531740867855206
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.im)
accuracy0.1015625
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy7.081973453245762
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
148.0ms256×0valid
Compiler

Compiled 300 to 32 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 64.0ms (49.4% of total)
ival-sub: 52.0ms (40.2% of total)
ival-add: 7.0ms (5.4% of total)
ival-log: 3.0ms (2.3% of total)
ival-exp: 3.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series95.0ms (1%)

Memory
8.6MiB live, 45.8MiB allocated
Counts
21 → 480
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) (patch (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (patch (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())
#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re x.re) x.im) (patch (*.f64 (*.f64 x.re x.re) x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (patch (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #<representation binary64>) () ())
#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (patch (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) (patch (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) (patch (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())
Outputs
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#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 (* 2 (* x.im x.re)) (taylor 0 x.im) (#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 (* 2 (* x.im x.re)) (taylor 0 x.im) (#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 (* 2 (* x.im x.re)) (taylor 0 x.im) (#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>) () ())) ())
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#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (patch (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
71.0ms
x.im
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (exp (* (log x.re) 2)) (+ (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (exp (* (log x.re) 2)) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im))
3.0ms
x.im
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (exp (* (log x.re) 2)) (+ (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (exp (* (log x.re) 2)) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im))
2.0ms
x.re
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (exp (* (log x.re) 2)) (+ (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (exp (* (log x.re) 2)) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im))
2.0ms
x.re
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (exp (* (log x.re) 2)) (+ (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (exp (* (log x.re) 2)) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im))
2.0ms
x.im
@0
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (exp (* (log x.re) 2)) (+ (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (exp (* (log x.re) 2)) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (- (exp (* (log x.re) 2)) (* x.im x.im)) x.im))

simplify300.0ms (3.3%)

Memory
-9.8MiB live, 236.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 432×lower-fma.f64
9 432×lower-fma.f32
2 890×lower-*.f64
2 890×lower-*.f32
2 328×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675547
15814637
219133991
369643991
081133911
Stop Event
1×iter limit
1×node limit
Counts
480 → 474
Calls
Call 1
Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(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))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(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))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(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))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
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 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -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))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -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))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -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))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(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) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(pow x.re 2)
(* (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)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(pow x.re 2)
(* (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)))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
x.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)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(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) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(pow x.re 2)
(* (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)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(pow x.re 2)
(* (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)))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.im) x.re)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
x.re
(+ x.im x.re)
(+.f64 x.re x.im)
(+ x.im x.re)
(+.f64 x.re x.im)
(+ x.im x.re)
(+.f64 x.re x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
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(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))

rewrite113.0ms (1.2%)

Memory
-22.2MiB live, 98.1MiB allocated
Rules
926×lower-fma.f64
926×lower-fma.f32
608×lower-*.f32
582×lower-*.f64
344×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042227
068203
1221177
01111172
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
21 → 448
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) x.im (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) x.re (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
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(+.f64 x.im x.im)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 x.im (-.f64 x.re x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (+.f64 x.re x.im))
(fma.f64 x.re x.im (*.f64 (neg.f64 x.im) x.im))
(fma.f64 x.im x.re (*.f64 (neg.f64 x.im) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (*.f64 x.re #s(literal 2 binary64)) x.im)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 x.re (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.im #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 x.im x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im))
(fma.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.im (*.f64 (-.f64 x.re x.im) x.im)))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) x.im) (*.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 (*.f64 (-.f64 x.re x.im) x.im)))
(+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 x.re (*.f64 (-.f64 x.re x.im) x.im)))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))

eval157.0ms (1.7%)

Memory
43.1MiB live, 343.8MiB allocated
Compiler

Compiled 22 985 to 1 114 computations (95.2% saved)

prune103.0ms (1.1%)

Memory
-41.8MiB live, 250.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1 185131 198
Fresh606
Picked505
Done000
Total1 196131 209
Accuracy
100.0%
Counts
1 209 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.3%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
21.8%
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
▶88.8%
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
30.6%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
87.0%
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶56.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
75.2%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
84.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
56.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
▶56.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
49.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
49.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
▶56.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
Compiler

Compiled 322 to 234 computations (27.3% saved)

simplify190.0ms (2.1%)

Memory
31.3MiB live, 219.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x.im)
cost-diff0
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
cost-diff0
(-.f64 x.re x.im)
cost-diff0
(*.f64 (-.f64 x.re x.im) x.im)
cost-diff0
(+.f64 x.re x.im)
cost-diff320
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
cost-diff0
(*.f64 #s(literal 3 binary64) x.im)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(*.f64 #s(literal 3 binary64) x.re)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
cost-diff0
(*.f64 (-.f64 x.re x.im) x.im)
cost-diff0
(+.f64 x.re x.im)
cost-diff0
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
cost-diff704
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
Rules
16 098×lower-fma.f32
16 096×lower-fma.f64
2 660×lower-*.f32
2 638×lower-*.f64
2 488×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034203
052197
197196
2183196
3492172
41409172
53569172
67132172
77935172
08012171
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
x.re
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(neg.f64 x.im)
x.im
#s(literal 3 binary64)
Outputs
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
x.re
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)
(+.f64 x.re x.im)
(+.f64 x.im x.re)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(neg.f64 x.im)
x.im
#s(literal 3 binary64)

localize79.0ms (0.9%)

Memory
-25.3MiB live, 176.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy0
(neg.f64 x.im)
accuracy27.857450213787434
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
accuracy0
(+.f64 x.re x.im)
accuracy0
(*.f64 #s(literal 2 binary64) x.im)
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.im)
accuracy0.06640625
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
accuracy0
(*.f64 #s(literal 3 binary64) x.im)
accuracy0.125
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
accuracy0.22265625
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
accuracy27.531740867855206
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
accuracy0
(*.f64 x.re x.im)
accuracy0
(*.f64 #s(literal 3 binary64) x.re)
accuracy0.178066259768442
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
accuracy27.531740867855206
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.im)
accuracy0.1015625
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.13671875
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy7.081973453245762
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
Samples
59.0ms256×0valid
Compiler

Compiled 185 to 32 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 21.0ms (54.9% of total)
ival-add: 7.0ms (18.3% of total)
ival-pow: 6.0ms (15.7% of total)
ival-sub: 3.0ms (7.8% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series68.0ms (0.7%)

Memory
6.2MiB live, 99.6MiB allocated
Counts
19 → 396
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (patch (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())
#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x.re) (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.im) (patch (*.f64 x.re x.im) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x.im) (patch (*.f64 #s(literal 3 binary64) x.im) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) #<representation binary64>) () ())
#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) (patch (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x.im) (patch (*.f64 #s(literal 2 binary64) x.im) #<representation binary64>) () ())
Outputs
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (patch (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (patch (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (patch (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (patch (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (-.f64 x.re x.im) x.im) (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.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 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 (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 x.im) (taylor 0 x.im) (#s(alt (*.f64 #s(literal 3 binary64) x.im) (patch (*.f64 #s(literal 3 binary64) x.im) #<representation binary64>) () ())) ())
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#s(alt (* 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 (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re)))) (taylor -inf x.re) (#s(alt (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) 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 (- (/ 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 (- (/ 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 (- (/ 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 (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x.im
@-inf
((+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im))
4.0ms
x.re
@0
((+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im))
3.0ms
x.im
@inf
((+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im))
2.0ms
x.im
@0
((+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im))
2.0ms
x.re
@-inf
((+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im))

simplify154.0ms (1.7%)

Memory
-7.3MiB live, 224.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 330×lower-fma.f64
12 330×lower-fma.f32
3 528×lower-*.f64
3 528×lower-*.f32
3 160×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013769
16953187
223732767
087592717
Stop Event
1×iter limit
1×node limit
Counts
396 → 387
Calls
Call 1
Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
x.re
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 x.im)
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
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))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(* -1 x.im)
(- x.re x.im)
(- x.re x.im)
(- x.re x.im)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
x.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.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
x.re
(+ x.im x.re)
(+.f64 x.re x.im)
(+ x.im x.re)
(+.f64 x.re x.im)
(+ x.im x.re)
(+.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
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(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im) x.re) x.re) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im) x.re) x.re) x.im) x.re) x.re)
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.re x.re)
(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.re x.re)
(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)

rewrite92.0ms (1%)

Memory
4.0MiB live, 125.9MiB allocated
Rules
1 176×lower-fma.f32
1 174×lower-fma.f64
620×lower-*.f32
598×lower-*.f64
318×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034171
052174
1194136
01186131
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
19 → 360
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.re x.im)
(*.f64 (-.f64 x.re x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.im)
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(-.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(neg.f64 x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 #s(literal 2 binary64) x.im)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x.im) (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im))) (neg.f64 (*.f64 x.im (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im)) (*.f64 x.im (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x.im (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))))))
(/.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) x.im (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)) x.im (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 4 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) x.re (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 2 binary64) (*.f64 x.im x.re) (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)))
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) x.im (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.im (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)))
(+.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)) (*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im) (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))
(+.f64 x.im x.im)

eval161.0ms (1.8%)

Memory
18.3MiB live, 258.7MiB allocated
Compiler

Compiled 13 556 to 926 computations (93.2% saved)

prune77.0ms (0.8%)

Memory
-25.5MiB live, 174.6MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New8518859
Fresh628
Picked145
Done000
Total85814872
Accuracy
100.0%
Counts
872 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
55.5%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
✓88.8%
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶87.0%
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
56.4%
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
✓56.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
▶84.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶56.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
✓56.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
49.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
▶56.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
✓56.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
21.8%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
▶34.0%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
Compiler

Compiled 284 to 204 computations (28.2% saved)

simplify307.0ms (3.4%)

Memory
-3.1MiB live, 476.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
cost-diff0
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
cost-diff0
(*.f64 #s(literal 3 binary64) x.re)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
cost-diff-5824
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
cost-diff0
(neg.f64 x.im)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (*.f64 x.re x.re) x.im)
cost-diff0
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
cost-diff0
(+.f64 x.re x.im)
cost-diff0
(*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
cost-diff128
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff1024
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
Rules
43 492×lower-fma.f32
43 488×lower-fma.f64
4 012×lower-*.f32
3 986×lower-*.f64
2 788×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044277
065271
1118269
2223265
3557247
41629231
53205231
66045231
08093229
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(+.f64 x.re x.im)
x.re
x.im
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
Outputs
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re)))
(*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
x.re
x.im
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im

localize85.0ms (0.9%)

Memory
26.0MiB live, 263.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x.im)
accuracy0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy4.546690309265272
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy4.703106422471853
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
accuracy0
(*.f64 #s(literal 3 binary64) x.re)
accuracy0.125
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy0.17578125
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
accuracy27.531740867855206
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
accuracy0
(*.f64 x.im x.im)
accuracy0
(neg.f64 x.im)
accuracy0.0625
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
accuracy27.857450213787434
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
accuracy0
(*.f64 x.re x.re)
accuracy7.540601640260707
(*.f64 (*.f64 x.re x.re) x.im)
accuracy37.627105705485796
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
accuracy0.1015625
(*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
accuracy0.13671875
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy3.2652707892474346
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
accuracy7.081973453245762
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
Samples
61.0ms256×0valid
Compiler

Compiled 220 to 39 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 31.0ms (69.8% of total)
ival-add: 8.0ms (18% of total)
ival-div: 2.0ms (4.5% of total)
ival-sub: 2.0ms (4.5% of total)
ival-neg: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
-2.1MiB live, 78.9MiB allocated
Counts
19 → 396
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (patch (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im 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 #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) (patch #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re x.re) x.im) (patch (*.f64 (*.f64 x.re x.re) x.im) #<representation binary64>) () ())
#s(alt (*.f64 x.re x.re) (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())
#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (patch (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x.re) (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())
Outputs
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (patch (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (patch (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (patch (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (patch (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 2 (pow x.re 2))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) (patch #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) (patch #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) (patch #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) (patch #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re x.re) x.im) (patch (*.f64 (*.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re x.re) x.im) (patch (*.f64 (*.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re x.re) x.im) (patch (*.f64 (*.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.re x.re) x.im) (patch (*.f64 (*.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (*.f64 x.im x.im) (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (* -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 (pow x.im 3)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (patch (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (patch (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (patch (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.im) (#s(alt (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) (patch (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #<representation binary64>) () ())) ())
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#s(alt (* 3 x.re) (taylor inf x.re) (#s(alt (*.f64 #s(literal 3 binary64) x.re) (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) (patch (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (patch (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor -inf x.re) (#s(alt (*.f64 #s(literal 3 binary64) x.re) (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor -inf x.re) (#s(alt (*.f64 #s(literal 3 binary64) x.re) (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor -inf x.re) (#s(alt (*.f64 #s(literal 3 binary64) x.re) (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor -inf x.re) (#s(alt (*.f64 #s(literal 3 binary64) x.re) (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) (taylor -inf x.re) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) (patch (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x.re 2)) (taylor -inf x.re) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) (patch (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x.im
@-inf
((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (neg x.im) (* (* x.im x.im) (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
3.0ms
x.im
@inf
((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (neg x.im) (* (* x.im x.im) (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
3.0ms
x.im
@0
((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (neg x.im) (* (* x.im x.im) (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
2.0ms
x.re
@inf
((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (neg x.im) (* (* x.im x.im) (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
2.0ms
x.re
@-inf
((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.re x.im) (* (- x.re x.im) x.im)) (+ x.re x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (neg x.im) (* (* x.im x.im) (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))

simplify168.0ms (1.8%)

Memory
21.5MiB live, 215.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 260×lower-fma.f64
13 260×lower-fma.f32
4 154×lower-*.f64
4 154×lower-*.f32
3 920×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02104336
17233552
224153064
084763002
Stop Event
1×iter limit
1×node limit
Counts
396 → 390
Calls
Call 1
Inputs
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
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 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
x.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.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
Outputs
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
x.re
(+ x.im x.re)
(+.f64 x.re x.im)
(+ x.im x.re)
(+.f64 x.re x.im)
(+ x.im x.re)
(+.f64 x.re x.im)
(* x.im (+ 2 (pow x.re 2)))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
x.im
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 x.im)
(neg.f64 x.im)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
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(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x.re) (/.f64 x.im x.re) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x.re) (/.f64 x.im x.re) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64)) x.re) x.re)
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64)) x.re) x.re)
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64)) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) x.re) x.re) x.im) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) x.re) x.re) x.im) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64)) x.re) x.re)
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64)) x.re) x.re)
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64)) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)

rewrite693.0ms (7.6%)

Memory
-40.6MiB live, 362.8MiB allocated
Rules
13 232×lower-fma.f32
13 228×lower-fma.f64
4 990×lower-/.f32
4 988×lower-/.f64
4 426×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044222
065216
1243184
21733184
08826179
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 687
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(+.f64 x.re x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(*.f64 x.im x.im)
(neg.f64 x.im)
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
Outputs
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re) (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re) (*.f64 x.re x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (*.f64 x.re x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re) (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))) (*.f64 (*.f64 x.re x.im) (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)) x.re)) (neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.im)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)))) (neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.im)))
(/.f64 (neg.f64 (*.f64 x.re (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)) x.re) (-.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.im))
(/.f64 (*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64))) x.re) (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (*.f64 x.im x.im))) (-.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.im))
(/.f64 (*.f64 x.re (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64)))) (fma.f64 x.im (-.f64 x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re (*.f64 x.re x.im))
(fma.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) (*.f64 x.re x.im))
(fma.f64 x.re x.im (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re))
(fma.f64 x.re x.im (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)))
(fma.f64 x.im x.re (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re))
(fma.f64 x.im x.re (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)))
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re) (*.f64 x.re x.im))
(+.f64 (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (*.f64 x.re x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (-.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))) (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))) (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x.im) (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))) (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (-.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (-.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (-.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 x.re x.im)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (-.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 x.re x.im)))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))))) (*.f64 #s(literal 0 binary64) (-.f64 x.re x.im)))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) (*.f64 #s(literal 0 binary64) (-.f64 x.re x.im)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 x.re x.im)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 x.re x.im)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 9 binary64)))) (neg.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 9 binary64))) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x.im)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) x.im (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.im (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x.im))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) (*.f64 (log.f64 x.re) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)) (*.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im) (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 x.im x.im)

eval379.0ms (4.1%)

Memory
37.0MiB live, 261.1MiB allocated
Compiler

Compiled 28 722 to 2 324 computations (91.9% saved)

prune203.0ms (2.2%)

Memory
-31.3MiB live, 341.4MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New1 13851 143
Fresh145
Picked235
Done044
Total1 141161 157
Accuracy
100.0%
Counts
1 157 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
55.5%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
68.6%
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
✓88.8%
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
56.4%
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
✓56.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
89.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
✓56.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
✓56.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
49.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
74.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
✓56.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
✓56.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
21.8%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
✓34.0%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
34.8%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
Compiler

Compiled 744 to 283 computations (62% saved)

regimes35.0ms (0.4%)

Memory
31.9MiB live, 72.0MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
Calls

3 calls:

13.0ms
x.im
10.0ms
x.re
9.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
96.3%2x.re
99.8%2x.im
99.8%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes21.0ms (0.2%)

Memory
-32.5MiB live, 45.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
(+.f64 (*.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
Outputs
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
Calls

2 calls:

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

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory
28.3MiB live, 28.3MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
Calls

2 calls:

6.0ms
x.im
5.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.8%3x.im
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory
-7.5MiB live, 31.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
Calls

2 calls:

6.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
5.0ms
x.im
Results
AccuracySegmentsBranch
99.8%3x.im
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory
-17.8MiB live, 24.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
Calls

2 calls:

7.0ms
x.im
4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
90.8%3x.im
99.3%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Calls

2 calls:

4.0ms
x.re
4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
82.4%2x.re
94.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Calls

1 calls:

3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
94.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Calls

1 calls:

3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
94.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory
-23.1MiB live, 16.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
Calls

3 calls:

3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
2.0ms
x.re
2.0ms
x.im
Results
AccuracySegmentsBranch
71.3%2x.re
62.0%2x.im
72.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Accuracy

Total -8.4b remaining (-20.1%)

Threshold costs -8.4b (-20.1%)

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

3 calls:

2.0ms
x.im
2.0ms
x.re
2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
34.8%1x.im
34.8%1(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
34.8%1x.re
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch7.0ms (0.1%)

Memory
-26.5MiB live, 12.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
6.0ms
1.119806195494722e+24
2.49068585972122e+24
Samples
4.0ms48×0valid
Compiler

Compiled 118 to 85 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (68.2% of total)
ival-add: 1.0ms (34.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
4.176452261625721e+67
1.211475053251347e+68
Samples
5.0ms80×0valid
Compiler

Compiled 157 to 111 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (81.4% of total)
ival-add: 1.0ms (27.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.286507092831068e-304
4.11077218652998e-303
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.286507092831068e-304
4.11077218652998e-303
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-2.807432121169279e-302
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-2.807432121169279e-302
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-2.807432121169279e-302
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-2.807432121169279e-302
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch11.0ms (0.1%)

Memory
-16.2MiB live, 22.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.963859794176248e+176
8.760253797397721e+176
Samples
5.0ms80×0valid
Compiler

Compiled 87 to 81 computations (6.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (80.4% of total)
ival-add: 1.0ms (26.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify34.0ms (0.4%)

Memory
14.0MiB live, 65.0MiB allocated
Algorithm
1×egg-herbie
Rules
56×*-commutative-binary64-*.f64
22×+-commutative-binary64-+.f64
14×sub-neg-binary64-neg.f64-+.f64--.f64
10×neg-sub0-binary64--.f64-neg.f64
10×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094854
1131854
2149854
3160854
4165854
5166854
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 1200000000000000033554432 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.im #s(literal 120000000000000003914723800577605532769170469312866435853625461833728 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))))
(if (<=.f64 x.re #s(literal 700000000000000005214286351452023924009396457008207710651749778918847896727471312184603913461734940885925921821949252398607803682966841228163398468781367185967577228152307449856 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))
Outputs
(if (<=.f64 x.im #s(literal 1200000000000000033554432 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.im #s(literal 1200000000000000033554432 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)))))
(if (<=.f64 x.im #s(literal 120000000000000003914723800577605532769170469312866435853625461833728 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64))))
(if (<=.f64 x.im #s(literal 120000000000000003914723800577605532769170469312866435853625461833728 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 x.re #s(literal 700000000000000005214286351452023924009396457008207710651749778918847896727471312184603913461734940885925921821949252398607803682966841228163398468781367185967577228152307449856 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im))) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re)))
(if (<=.f64 x.re #s(literal 700000000000000005214286351452023924009396457008207710651749778918847896727471312184603913461734940885925921821949252398607803682966841228163398468781367185967577228152307449856 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (*.f64 x.re x.im) x.re))

soundness1.3s (14.6%)

Memory
-12.3MiB live, 1 015.1MiB allocated
Rules
16 068×lower-fma.f64
16 068×lower-fma.f32
13 232×lower-fma.f32
13 228×lower-fma.f64
12 330×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044222
065216
1243184
21733184
08826179
057909
1182891
2585891
32559891
46916891
08750891
02013769
16953187
223732767
087592717
042227
068203
1221177
01111172
01154
02054
17942
053641
01675547
15814637
219133991
369643991
081133911
034171
052174
1194136
01186131
Stop Event
1×fuel
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×iter limit
1×unsound
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×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 446 to 559 computations (61.3% saved)

preprocess150.0ms (1.6%)

Memory
19.1MiB live, 261.3MiB allocated
Remove

(abs x.re)

Compiler

Compiled 1 526 to 386 computations (74.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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