Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.6s (17%)

Memory

-3.8MiB live, 1 535.5MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 801.0ms

ival-mult: 652.0ms (81.4% of total)

ival-add: 86.0ms (10.7% of total)

ival-sub: 54.0ms (6.7% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain272.0ms (2.9%)

Memory

19.5MiB live, 182.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(+.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))`
17	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
11	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.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-rescue	18	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	104
↳	`(*.f64 x.im x.im)`	overflow	50
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	109
↳	`(*.f64 x.im x.re)`	overflow	28
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	66
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	28
↳	`(*.f64 x.re x.im)`	overflow	28
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	17	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	11	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(*.f64 x.im x.im)`	overflow	50

Confusion

	Predicted +	Predicted -
+	40	0
-	0	216

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	0	0	216

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	216
1	34
2	6

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

119.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (50.1% of total)

ival-add: 16.0ms (42.2% of total)

ival-sub: 2.0ms (5.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess361.0ms (3.8%)

Memory

-23.4MiB live, 168.1MiB 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)

Iter	Nodes	Cost
0	31	107
1	99	89
2	292	85
3	1259	57
4	3111	55
5	5133	55
6	6048	55
7	6433	55
8	6553	55
9	6657	55
10	6664	55
11	7747	55
0	11	19
0	20	19
1	34	17
2	65	17
3	151	11
4	358	11
5	1010	11
6	1929	11
7	4829	11
8	7194	11
0	8107	11

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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.6%	(+.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)

simplify318.0ms (3.4%)

Memory

11.8MiB live, 199.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.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)

Iter	Nodes	Cost
0	11	65
0	20	65
1	34	59
2	65	59
3	151	53
4	358	53
5	1010	53
6	1929	53
7	4829	53
8	7194	53
0	8107	53

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)

localize166.0ms (1.8%)

Memory

-12.2MiB live, 85.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.4999876149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.057199733506764	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.617150344943704	(+.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

108.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 30.0ms (90.7% of total)

ival-add: 2.0ms (6% of total)

ival-sub: 1.0ms (3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series85.0ms (0.9%)

Memory

6.3MiB live, 45.1MiB 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>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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 (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -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>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 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:

Time	Variable		Point	Expression
73.0ms	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	@	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))

simplify259.0ms (2.7%)

Memory

31.2MiB live, 146.7MiB 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)

Iter	Nodes	Cost
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891

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))

rewrite150.0ms (1.6%)

Memory

-44.8MiB live, 82.6MiB 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)

Iter	Nodes	Cost
0	11	54
0	20	54
1	79	42
0	536	41

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)))

eval44.0ms (0.5%)

Memory: 12.0MiB live, 89.4MiB allocated
Compiler: Compiled 4 344 to 318 computations (92.7% saved)

prune12.0ms (0.1%)

Memory

-3.3MiB live, 35.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	205	8	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	8	214

Accuracy

99.9%

Counts

214 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.4%	(+.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))
	39.3%	(+.f64 (/.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 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	92.7%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	66.5%	(+.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))
▶	50.7%	(+.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))
	89.3%	#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)))
▶	50.7%	#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)))
▶	55.5%	#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 272 to 176 computations (35.3% saved)

simplify222.0ms (2.4%)

Memory

36.7MiB live, 188.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)
cost-diff	0	(/.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))))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.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))
cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
cost-diff	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
cost-diff	0	#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))))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.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-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff	0	#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-diff	0	(*.f64 x.im (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Rules

16 588×	`lower-fma.f32`
16 584×	`lower-fma.f64`
2 706×	`lower-+.f32`
2 696×	`lower-+.f64`
2 290×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	347
0	68	347
1	118	325
2	213	325
3	430	303
4	912	303
5	2448	303
6	6102	303
0	8078	301

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 x.im (+.f64 x.im x.re))
x.im
(+.f64 x.im x.re)
x.re
(-.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)
#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))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(+.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 (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 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow.f64 x.re #s(literal 6 binary64))
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 x.im x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(.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 (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 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 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))
(*.f64 x.im (+.f64 x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
x.im
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.re
(-.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.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 #s(literal 2 binary64) (.f64 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 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.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)) (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)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(+.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 (fma.f64 #s(literal 2 binary64) (.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 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))) 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.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow.f64 x.re #s(literal 6 binary64))
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)))
(fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 x.im x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.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)

localize143.0ms (1.5%)

Memory

-0.8MiB live, 163.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.4687500000000004	(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)))
accuracy	4.617150344943704	(+.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))
accuracy	9.58198996660412	(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
accuracy	47.83802252143185	(/.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))))
accuracy	0	(pow.f64 x.im #s(literal 3 binary64))
accuracy	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy	28.456632417399806	#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))))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.057199733506764	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	4.617150344943704	(+.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))
accuracy	28.852257075697807	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.203125	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	7.7935758892589915	(.f64 (.f64 x.re x.re) x.im)
accuracy	27.497827154929624	#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)))
accuracy	0.01171875	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.109375	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.617150344943704	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

115.0ms

256×

valid

Compiler

Compiled 331 to 35 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 37.0ms (51.6% of total)

ival-sub: 12.0ms (16.7% of total)

ival-pow: 11.0ms (15.3% of total)

ival-add: 8.0ms (11.1% of total)

ival-div: 2.0ms (2.8% of total)

ival-neg: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory

-23.4MiB live, 96.5MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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 (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.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 #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (patch (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x.im #s(literal 3 binary64)) (patch (pow.f64 x.im #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) 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 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<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 (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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 (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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 (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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 (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) (taylor -inf x.re) (#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) (taylor -inf x.re) (#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.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)))) (patch (/.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)))) #<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 (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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2)))) (taylor -inf x.re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) (taylor -inf x.re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 6)) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) #<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 (pow x.re 6) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor -inf x.re) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2)))) (taylor -inf x.re) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x.im	@	0	((+ (* (* x.im (+ x.im x.re)) (- x.re 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)) (- 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
8.0ms	x.re	@	0	((+ (* (* x.im (+ x.im x.re)) (- x.re 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)) (- 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
5.0ms	x.im	@	-inf	((+ (* (* x.im (+ x.im x.re)) (- x.re 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)) (- 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
5.0ms	x.im	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re 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)) (- 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
4.0ms	x.re	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re 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)) (- 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))

simplify153.0ms (1.6%)

Memory

21.9MiB live, 261.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 510×	`lower-fma.f64`
11 510×	`lower-fma.f32`
3 184×	`lower-*.f64`
3 184×	`lower-*.f32`
2 004×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	5311
1	944	4483
2	3468	3893
0	8160	3809

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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.im x.re)
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(* x.im (+ 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))))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(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))))
(* 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 (pow x.re 6))
(* x.im (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(* x.im (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(* x.im (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(* 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 6)
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(pow x.re 4)
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(* -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))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 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 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(* -1 (pow x.im 3))
(* (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) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 3) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* -1 (pow x.im 7))
(* (pow x.im 7) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 7) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 7) (- (/ (pow x.re 6) (pow x.im 6)) 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 6))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(pow x.im 4)
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(* -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)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 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)))))))
(* 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 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (pow x.im 7))
(* -1 (* (pow x.im 7) (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6))))))
(* -1 (* (pow x.im 7) (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6))))))
(* -1 (* (pow x.im 7) (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6))))))
(* 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 6))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(pow x.im 4)
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(* -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))))))
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (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))))
(* 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 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 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 7))
(+ (* -1 (pow x.im 7)) (* x.im (pow x.re 6)))
(+ (* -1 (pow x.im 7)) (* x.im (pow x.re 6)))
(+ (* -1 (pow x.im 7)) (* x.im (pow x.re 6)))
(* 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 6))
(- (pow x.re 6) (pow x.im 6))
(- (pow x.re 6) (pow x.im 6))
(- (pow x.re 6) (pow x.im 6))
(pow x.im 4)
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(* (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.im x.re)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ 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)))
(* 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) (+ 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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* x.im (pow x.re 6))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(* 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 6)
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(* (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.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 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)))
(* 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) (+ 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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* x.im (pow x.re 6))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(* 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 6)
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))

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.im x.re)
(*.f64 x.re x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
(* x.im (+ x.im x.re))
(*.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 (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)
(* 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)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(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 (+ (* 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)
(* -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)
(pow.f64 x.im #s(literal 3 binary64))
(pow x.im 3)
(pow.f64 x.im #s(literal 3 binary64))
(pow x.im 3)
(pow.f64 x.im #s(literal 3 binary64))
(pow x.im 3)
(pow.f64 x.im #s(literal 3 binary64))
(* 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)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(* x.im (pow x.re 6))
(*.f64 (pow.f64 x.re #s(literal 6 binary64)) x.im)
(* x.im (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)
(* x.im (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)
(* x.im (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) 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)
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(fma.f64 (.f64 (.f64 x.re x.im) x.re) x.im (pow.f64 x.re #s(literal 4 binary64)))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 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)) (+ (* 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)))
(* 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)
(* -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)))
(pow x.im 2)
(*.f64 x.im x.im)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(*.f64 x.im (fma.f64 (/.f64 x.re x.im) x.im x.im))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(*.f64 x.im (fma.f64 (/.f64 x.re x.im) x.im x.im))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(*.f64 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) (- (+ (* 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))
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rewrite281.0ms (3%)

Memory

-4.6MiB live, 372.1MiB allocated

Rules

6 494×	`lower-fma.f32`
6 490×	`lower-fma.f64`
4 352×	`lower-*.f32`
4 330×	`lower-*.f64`
4 166×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	254
0	68	226
1	267	198
2	1787	198
0	8453	193

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 830

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.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 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 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))
#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))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
(+.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 (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 (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)
(-.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)))

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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64))) (pow.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 (-.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))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.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)))) #s(literal -1 binary64))
(pow.f64 (/.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 (-.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 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) #s(literal 3 binary64))) (fma.f64 (/.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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.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 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (.f64 (/.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 (/.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 (-.f64 x.re x.im) x.im) (+.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 2 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))))
(/.f64 (neg.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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64))))) (neg.f64 (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 (-.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 (.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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))) (.f64 #s(literal 0 binary64) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.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))) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (+.f64 x.re x.im) (.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 #s(literal 0 binary64) (+.f64 x.re x.im)))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (/.f64 x.im (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))))) (.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 6 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.f64 x.re #s(literal 12 binary64))) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 18 binary64)) (pow.f64 x.im #s(literal 18 binary64))) (/.f64 x.im (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))))) (.f64 #s(literal 0 binary64) (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 6 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.f64 x.re #s(literal 12 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 #s(literal 0 binary64) (.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)))))) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (+.f64 x.re x.im) (.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) (.f64 #s(literal 0 binary64) (+.f64 x.re x.im)))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 #s(literal 0 binary64) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))) (.f64 #s(literal 0 binary64) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))))) (.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) x.im))) (.f64 #s(literal 0 binary64) (.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 6 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.f64 x.re #s(literal 12 binary64))) (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 18 binary64)) (pow.f64 x.im #s(literal 18 binary64))) x.im))) (.f64 #s(literal 0 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 6 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.f64 x.re #s(literal 12 binary64))) (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) #s(literal 1 binary64)))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (neg.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (neg.f64 (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))) (.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.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)))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 x.re x.im)) (/.f64 (*.f64 x.im x.im) (-.f64 x.im x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (/.f64 (*.f64 x.im x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 x.im x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 4 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.im x.im) (.f64 x.im x.im) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 x.re x.re) (.f64 x.re x.re) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 x.im (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (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))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))

eval265.0ms (2.8%)

Memory: 37.5MiB live, 508.8MiB allocated
Compiler: Compiled 47 721 to 2 221 computations (95.3% saved)

prune68.0ms (0.7%)

Memory

-19.1MiB live, 256.0MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 489	11	1 500
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	1 495	13	1 508

Accuracy

100.0%

Counts

1 508 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.3%	(+.f64 (/.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 x.re x.im) (*.f64 x.im x.re)) x.re))
	81.5%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.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))
▶	92.3%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	74.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	89.4%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	89.3%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
✓	50.7%	#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)))
	56.8%	#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)))
▶	55.5%	#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))
▶	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
	50.7%	#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))
✓	55.5%	#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 353 to 233 computations (34% saved)

simplify169.0ms (1.8%)

Memory

24.1MiB live, 257.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im))
cost-diff	128	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	896	(*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
cost-diff	0	#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)))
cost-diff	-5824	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(*.f64 (neg.f64 x.im) x.im)
cost-diff	0	#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))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(*.f64 x.im (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	704	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Rules

21 456×	`lower-fma.f32`
21 454×	`lower-fma.f64`
3 866×	`lower-*.f32`
3 836×	`lower-*.f64`
2 350×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	301
0	82	286
1	148	286
2	267	282
3	583	262
4	1266	253
5	2258	253
6	6377	253
0	8182	249

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 x.im (+.f64 x.im x.re))
x.im
(+.f64 x.im x.re)
x.re
(-.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 (neg.f64 x.im) x.im) x.im))
(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
(*.f64 (neg.f64 x.im) x.im)
(neg.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 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im))
#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re))
(*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)
(fma.f64 x.im (/.f64 x.im x.re) x.im)
x.im
(/.f64 x.im x.re)
x.re
(-.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)

Outputs
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))
(*.f64 x.im (+.f64 x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
x.im
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.re
(-.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 (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)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(*.f64 (neg.f64 x.im) x.im)
(neg.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 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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (*.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 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
x.re
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x.re) x.re) x.im (.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (+.f64 x.re x.im) x.im)) (-.f64 x.re x.im)))
(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im))
(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (+.f64 x.re x.im) x.im)) (-.f64 x.re x.im))
#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re))
#s(approx (* x.im (+ x.im x.re)) (*.f64 (+.f64 x.re x.im) x.im))
(*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)
(*.f64 (+.f64 x.re x.im) x.im)
(fma.f64 x.im (/.f64 x.im x.re) x.im)
(fma.f64 (/.f64 x.im x.re) x.im x.im)
x.im
(/.f64 x.im x.re)
x.re
(-.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.im) x.re) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize322.0ms (3.4%)

Memory

-48.4MiB live, 194.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.617150344943704	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	4.727534068310431	(*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)
accuracy	0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	0.12109375	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
accuracy	0.40716295068013286	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
accuracy	27.497827154929624	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
accuracy	0	(*.f64 x.re x.re)
accuracy	0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	8.09185740217636	(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy	27.497827154929624	#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)))
accuracy	0	(*.f64 (neg.f64 x.im) x.im)
accuracy	0	(neg.f64 x.im)
accuracy	0.09375	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
accuracy	28.456632417399806	#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))
accuracy	0.109375	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.13671875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	0.2275188419631097	(*.f64 x.re (+.f64 x.im x.im))
accuracy	4.617150344943704	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

298.0ms

256×

valid

Compiler

Compiled 255 to 46 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-mult: 211.0ms (75.2% of total)

ival-add: 54.0ms (19.3% of total)

ival-pow: 7.0ms (2.5% of total)

ival-sub: 4.0ms (1.4% of total)

ival-div: 3.0ms (1.1% of total)

ival-neg: 1.0ms (0.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series196.0ms (2.1%)

Memory

3.8MiB live, 79.0MiB allocated

Counts

22 → 468

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<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 (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 (.f64 (neg.f64 x.im) x.im) x.im)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x.im) x.im) (patch (.f64 (neg.f64 x.im) x.im) #<representation binary64>) () ())
#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 x.im) x.im) x.im) (patch (.f64 (.f64 (neg.f64 x.im) 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 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) x.im))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())
#s(alt (.f64 x.re x.re) (patch (.f64 x.re 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 #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) 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 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 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.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 (.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 (.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 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 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 #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)) (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 (neg.f64 x.im) x.im) 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 (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 (.f64 (neg.f64 x.im) x.im) 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 (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 (.f64 (neg.f64 x.im) x.im) x.im)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.im 2) (+ 1 (/ x.re x.im))) (taylor inf x.im) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) 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 (* 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 3)) (taylor inf x.im) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#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>) () ())) ())
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#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#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.im) (#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.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 (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im))))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
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#s(alt (pow x.im 2) (taylor -inf x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ 1 (/ x.re x.im))) (taylor -inf x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ 1 (/ x.re x.im))) (taylor -inf x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ 1 (/ x.re x.im))) (taylor -inf x.im) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt x.im (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1))) (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf 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 (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 (.f64 (neg.f64 x.im) x.im) x.im)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (.f64 (neg.f64 x.im) x.im) (patch (.f64 (neg.f64 x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (.f64 (neg.f64 x.im) x.im) (patch (.f64 (neg.f64 x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (.f64 (neg.f64 x.im) x.im) (patch (.f64 (neg.f64 x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (.f64 (neg.f64 x.im) x.im) (patch (.f64 (neg.f64 x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (.f64 (.f64 (neg.f64 x.im) x.im) x.im) (patch (.f64 (.f64 (neg.f64 x.im) x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (.f64 (.f64 (neg.f64 x.im) x.im) x.im) (patch (.f64 (.f64 (neg.f64 x.im) x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (.f64 (.f64 (neg.f64 x.im) x.im) x.im) (patch (.f64 (.f64 (neg.f64 x.im) x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (.f64 (.f64 (neg.f64 x.im) x.im) x.im) (patch (.f64 (.f64 (neg.f64 x.im) x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf 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.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) x.im))) #<representation binary64>) () ())) ())
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#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 (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
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#s(alt (* x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (/ (pow x.im 2) x.re))) (taylor inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (/ (pow x.im 2) x.re))) (taylor inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (/ (pow x.im 2) x.re))) (taylor inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im 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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 (neg.f64 x.im) x.im) 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 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) 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 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) 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 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) 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 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) x.im))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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 #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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>) () ())) ())
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#s(alt (* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) (taylor inf x.re) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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>) () ())) ())
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#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 x.re) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (/ (pow x.im 2) x.re))) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (/ (pow x.im 2) x.re))) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (/ (pow x.im 2) x.re))) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) 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 (* 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) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re 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) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) (taylor inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re 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) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) (taylor inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (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 (* 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 (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.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 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt (.f64 x.im (+.f64 x.im x.re)) (patch (.f64 x.im (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im 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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 (neg.f64 x.im) x.im) 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 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) 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 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) 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 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) 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 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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.re x.re) (*.f64 #s(literal 3 binary64) x.im))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im)) (patch (.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) 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 #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) (taylor -inf x.re) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) (taylor -inf x.re) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 x.re) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (patch (.f64 (fma.f64 x.im (/.f64 x.im x.re) 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 (* 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) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re 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 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re 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 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (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 (* 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:

Time	Variable		Point	Expression
154.0ms	x.im	@	inf	((+ (* (* x.im (+ 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.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* (+ (* x.im (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (* x.im (+ 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.im x.re)) x.re))
4.0ms	x.im	@	-inf	((+ (* (* x.im (+ 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.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* (+ (* x.im (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (* x.im (+ 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.im x.re)) x.re))
4.0ms	x.im	@	0	((+ (* (* x.im (+ 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.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* (+ (* x.im (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (* x.im (+ 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.im x.re)) x.re))
3.0ms	x.re	@	-inf	((+ (* (* x.im (+ 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.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* (+ (* x.im (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (* x.im (+ 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.im x.re)) x.re))
3.0ms	x.re	@	0	((+ (* (* x.im (+ 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.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) 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.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* (+ (* x.im (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (* x.im (+ 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.im x.re)) x.re))

simplify237.0ms (2.5%)

Memory

-14.4MiB live, 178.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 148×	`lower-fma.f64`
9 148×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`lower-*.f32`
2 622×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	4517
1	733	3847
2	2677	3361
3	6907	3361
0	8453	3291

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 462

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.im x.re)
(* x.im (+ 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.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))))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (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)
(* 3 x.im)
(* 3 x.im)
(* 3 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)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* x.im x.re)
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(* x.im (+ 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 (+ (* 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)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -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))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
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))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (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)
(* 3 x.im)
(* 3 x.im)
(* 3 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) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 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))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -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))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -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)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (pow x.im 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))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (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)
(* 3 x.im)
(* 3 x.im)
(* 3 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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* 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))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -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)))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -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))))))
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
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))))
(* -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)))
(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) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 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))
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 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 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))))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* (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.im x.re)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) 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))))
(* (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)))
(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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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 x.re)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* (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))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* (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.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) 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))))
(* (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)))
(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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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 x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* (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))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))

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)))
(fma.f64 (*.f64 x.re x.im) x.re (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(fma.f64 (*.f64 x.re x.im) x.re (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) 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)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.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))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* 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)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) 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)
(* 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 x.re)
(*.f64 x.re x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re 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 (+ (* 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)))
(fma.f64 (*.f64 x.re x.im) x.re (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(fma.f64 (*.f64 x.re x.im) x.re (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(* 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)
(* 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)
(* 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 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(pow.f64 (neg.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))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(pow.f64 (neg.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)))
(pow x.im 2)
(*.f64 x.im x.im)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(*.f64 (fma.f64 (/.f64 x.re x.im) x.im x.im) x.im)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(*.f64 (fma.f64 (/.f64 x.re x.im) x.im x.im) x.im)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(*.f64 (fma.f64 (/.f64 x.re x.im) x.im 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)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (pow x.im 3))
(pow.f64 (neg.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))
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(.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)
(* 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.im x.re)
(*.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) 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)
(* (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) (+ 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)
(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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(.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 (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(.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 x.re)
(*.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im 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)
(* 2 (* x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) 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 (+ (* 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))
(* 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)
(* 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)
(* 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)

rewrite363.0ms (3.8%)

Memory

9.5MiB live, 415.3MiB allocated

Rules

4 350×	`lower-*.f32`
4 322×	`lower-/.f32`
4 320×	`lower-*.f64`
4 320×	`lower-/.f64`
4 122×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	249
0	82	217
1	319	185
2	2075	185
0	8510	180

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 1 221

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 x.im (+.f64 x.im x.re))
(+.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 (neg.f64 x.im) x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
(.f64 (.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 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im))
(*.f64 x.re (+.f64 x.im x.im))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im))) (pow.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.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 (.f64 (-.f64 x.re x.im) x.im) (+.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 (.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))) #s(literal -1 binary64)))
(pow.f64 (/.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)) (.f64 #s(literal 4 binary64) (*.f64 x.im 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 (.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 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im))))) (neg.f64 (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 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.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 (.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 (.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 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)))) (.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 x.re x.re (.f64 x.im x.im))))
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(.f64 (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -1 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 (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x.re #s(literal 2 binary64)) x.im)
(.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 #s(literal 8 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 8 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) x.im))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x.im))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (.f64 #s(literal 2 binary64) x.im))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.im)
(.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 #s(literal 2 binary64) x.im))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im))
(.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))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64)) #s(literal 2 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 -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 -1 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re)) (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) x.re)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 x.re (.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 (neg.f64 (.f64 x.re (.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 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.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 (-.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 (.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 #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 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 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 (.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 (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 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 #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 (.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 (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 -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.im) x.re))
(fma.f64 x.re (.f64 x.re x.im) (.f64 x.re (*.f64 x.re x.im)))
(fma.f64 x.re x.im (*.f64 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)))
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64) (.f64 (log.f64 x.re) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re))
(+.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im)))
(+.f64 (.f64 x.re x.im) (.f64 x.re x.im))
(+.f64 x.im x.im)

eval356.0ms (3.8%)

Memory: 22.2MiB live, 398.7MiB allocated
Compiler: Compiled 52 061 to 3 255 computations (93.7% saved)

prune93.0ms (1%)

Memory

-6.6MiB live, 203.5MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 690	7	1 697
Fresh	4	2	6
Picked	1	4	5
Done	1	1	2
Total	1 696	14	1 710

Accuracy

100.0%

Counts

1 710 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.9%	(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
▶	55.6%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
	29.5%	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)) (.f64 #s(literal 2 binary64) x.im) (.f64 (+.f64 x.re x.im) #s(literal 1 binary64))) (.f64 (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))
	81.1%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 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))
✓	92.3%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	74.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	89.3%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
✓	56.9%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
	50.7%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
✓	55.5%	#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))
✓	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
✓	55.5%	#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 335 to 216 computations (35.5% saved)

simplify164.0ms (1.7%)

Memory

9.8MiB live, 200.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	704	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
cost-diff	1024	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
cost-diff	0	#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
cost-diff	896	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x.re #s(literal 3 binary64)) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) x.re)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
cost-diff	0	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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))

Rules

11 876×	`lower-fma.f32`
11 870×	`lower-fma.f64`
3 952×	`lower-*.f32`
3 918×	`lower-*.f64`
1 426×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	412
0	89	412
1	159	400
2	283	400
3	553	392
4	1478	355
5	3343	355
6	5659	355
0	8537	345

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))
#s(literal 3 binary64)
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.re x.im)
x.re
x.im
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(.f64 (.f64 x.re #s(literal 3 binary64)) x.im)
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
x.im
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(-.f64 x.re x.im)
x.re
x.im
#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(/.f64 x.im x.re)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))
#s(literal 1 binary64)
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(.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
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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)))
(.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 x.im x.im)) (neg.f64 x.im))
(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.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
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 x.re x.im) x.re)
(.f64 (.f64 x.im x.re) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.re
x.im
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.re #s(literal 3 binary64)) x.im)
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.re)
x.re
#s(literal 3 binary64)
x.im
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 #s(approx (* x.im (+ x.im x.re)) (.f64 (+.f64 x.im x.re) x.im)) (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))
(-.f64 x.re x.im)
x.re
x.im
#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))
#s(approx (* x.im (+ x.im x.re)) (*.f64 (+.f64 x.im x.re) x.im))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(*.f64 (+.f64 x.im x.re) x.im)
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(/.f64 x.im x.re)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) x.im)
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im)
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re))
#s(approx (- (* x.re x.re) (* x.im x.im)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.re)
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re))
#s(literal 1 binary64)
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(*.f64 (/.f64 x.im x.re) x.im)
(*.f64 x.im x.im)
x.im
x.re
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize159.0ms (1.7%)

Memory

-27.1MiB live, 345.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.294327215593041	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
accuracy	4.617150344943704	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	4.731440318310431	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
accuracy	5.642316710113771	(/.f64 (*.f64 x.im x.im) x.re)
accuracy	0	#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))
accuracy	0.046875	(fma.f64 (/.f64 x.im x.re) x.im x.im)
accuracy	0.3359354358302058	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
accuracy	4.727534068310431	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
accuracy	0	(*.f64 x.re #s(literal 3 binary64))
accuracy	0.12109375	(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
accuracy	0.45591636704836547	(.f64 (.f64 x.re #s(literal 3 binary64)) x.im)
accuracy	27.497827154929624	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.13671875	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.203125	(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))
accuracy	27.497827154929624	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
accuracy	0	(neg.f64 x.im)
accuracy	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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))
accuracy	2.605456364981235	(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
accuracy	4.071497433046839	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)

Samples

107.0ms

256×

valid

Compiler

Compiled 331 to 53 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 32.0ms (47.6% of total)

ival-add: 11.0ms (16.4% of total)

ival-pow: 10.0ms (14.9% of total)

ival-div: 6.0ms (8.9% of total)

ival-sub: 6.0ms (8.9% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory

-0.7MiB live, 159.0MiB allocated

Counts

23 → 516

Calls

Call 1

Inputs
#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re))) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) (patch (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re x.im) x.re) (patch (.f64 (.f64 x.re x.im) x.re) #<representation binary64>) () ())
#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) (patch (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) (patch (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) #<representation binary64>) () ())
#s(alt (.f64 x.re #s(literal 3 binary64)) (patch (.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) (patch (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.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.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (patch #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 (.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 (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x.im x.re) x.im x.im) (patch (fma.f64 (/.f64 x.im x.re) x.im x.im) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x.im x.im) x.re) (patch (/.f64 (.f64 x.im x.im) x.re) #<representation binary64>) () ())

Outputs
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 0 x.im) (#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 (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#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 (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#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 (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) (taylor 0 x.im) (#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 0 x.im) (#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 (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (taylor 0 x.im) (#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 (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (taylor 0 x.im) (#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 (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (taylor 0 x.im) (#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 (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re))) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re))) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re))) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re))) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) (patch (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) (patch (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) (patch (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.im) x.re)) (patch (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re 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) x.re) (patch (.f64 (.f64 x.re 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) x.re) (patch (.f64 (.f64 x.re 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) x.re) (patch (.f64 (.f64 x.re 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) x.re) (patch (.f64 (.f64 x.re x.im) x.re) #<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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) (patch (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) (patch (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) (patch (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) x.re) (patch (.f64 (.f64 (.f64 x.re #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 x.re #s(literal 3 binary64)) x.im) (patch (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) (patch (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) (patch (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) (patch (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) (patch (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) (patch (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) (patch (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) (patch (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 2 (pow x.re 2))) (taylor 0 x.im) (#s(alt (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) 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 (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) 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 (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) 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 (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) 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.re (* -1 x.im)) (taylor 0 x.im) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.re (* -1 x.im)) (taylor 0 x.im) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.re (* -1 x.im)) (taylor 0 x.im) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re) (patch (.f64 (fma.f64 (/.f64 x.im x.re) x.im 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) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.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) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.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) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.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) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.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 (* x.im x.re) (taylor -inf x.re) (#s(alt #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (patch #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (patch #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (patch #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (patch #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor -inf x.re) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) (patch (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) #<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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) #<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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) #<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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) 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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) 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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) 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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) 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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) 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 -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 x.im (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.im x.re) x.im x.im) (patch (fma.f64 (/.f64 x.im x.re) x.im x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im (/ (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.im x.re) x.im x.im) (patch (fma.f64 (/.f64 x.im x.re) x.im x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im (/ (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.im x.re) x.im x.im) (patch (fma.f64 (/.f64 x.im x.re) x.im x.im) #<representation binary64>) () ())) ())
#s(alt (+ x.im (/ (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (fma.f64 (/.f64 x.im x.re) x.im x.im) (patch (fma.f64 (/.f64 x.im x.re) x.im x.im) #<representation binary64>) () ())) ())
#s(alt (/ (pow x.im 2) x.re) (taylor -inf x.re) (#s(alt (/.f64 (.f64 x.im x.im) x.re) (patch (/.f64 (.f64 x.im x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (pow x.im 2) x.re) (taylor -inf x.re) (#s(alt (/.f64 (.f64 x.im x.im) x.re) (patch (/.f64 (.f64 x.im x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (pow x.im 2) x.re) (taylor -inf x.re) (#s(alt (/.f64 (.f64 x.im x.im) x.re) (patch (/.f64 (.f64 x.im x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (pow x.im 2) x.re) (taylor -inf x.re) (#s(alt (/.f64 (.f64 x.im x.im) x.re) (patch (/.f64 (.f64 x.im x.im) x.re) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x.im	@	-inf	((+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re 3) x.im) x.re) (* (* x.re 3) x.im) (* x.re 3) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (* (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) 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)) (neg x.im) (+ (* (/ x.im x.re) x.im) x.im) (/ (* x.im x.im) x.re))
6.0ms	x.re	@	inf	((+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re 3) x.im) x.re) (* (* x.re 3) x.im) (* x.re 3) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (* (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) 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)) (neg x.im) (+ (* (/ x.im x.re) x.im) x.im) (/ (* x.im x.im) x.re))
4.0ms	x.im	@	0	((+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re 3) x.im) x.re) (* (* x.re 3) x.im) (* x.re 3) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (* (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) 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)) (neg x.im) (+ (* (/ x.im x.re) x.im) x.im) (/ (* x.im x.im) x.re))
4.0ms	x.re	@	-inf	((+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re 3) x.im) x.re) (* (* x.re 3) x.im) (* x.re 3) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (* (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) 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)) (neg x.im) (+ (* (/ x.im x.re) x.im) x.im) (/ (* x.im x.im) x.re))
4.0ms	x.im	@	inf	((+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.re x.im) x.re)) (* (* x.re x.im) x.re) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re 3) x.im) x.re) (* (* x.re 3) x.im) (* x.re 3) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (* (* (- 1 (/ (/ (* x.im x.im) x.re) x.re)) 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)) (neg x.im) (+ (* (/ x.im x.re) x.im) x.im) (/ (* x.im x.im) x.re))

simplify138.0ms (1.5%)

Memory

18.0MiB live, 296.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 612×	`lower-fma.f64`
10 612×	`lower-fma.f32`
3 426×	`lower-*.f64`
3 426×	`lower-*.f32`
2 398×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	4167
1	791	3908
2	2743	3802
0	8222	3727

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 507

Calls

Call 1

Inputs
(* 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)))
(* 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 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))
(* x.im x.re)
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(* x.im (+ 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.re
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(* x.im x.re)
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
x.re
(+ x.re (* -1 (/ (pow x.im 2) x.re)))
(+ x.re (* -1 (/ (pow x.im 2) x.re)))
(+ x.re (* -1 (/ (pow x.im 2) 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 (+ (* 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 x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
x.im
(* x.im (+ 1 (/ x.im x.re)))
(* x.im (+ 1 (/ x.im x.re)))
(* x.im (+ 1 (/ x.im x.re)))
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(* -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) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 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))
(* -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) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 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))
(* 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) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 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))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 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))
(* -1 x.im)
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* -1 (/ (pow x.im 2) x.re))
(* (pow x.im 2) (- (/ x.re (pow x.im 2)) (/ 1 x.re)))
(* (pow x.im 2) (- (/ x.re (pow x.im 2)) (/ 1 x.re)))
(* (pow x.im 2) (- (/ x.re (pow x.im 2)) (/ 1 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) (- (+ (* 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 x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.im 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.im 2) (+ (/ 1 x.im) (/ 1 x.re)))
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(* -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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -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))
(* -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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* 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 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.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* 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))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re 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)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* -1 (/ (pow x.im 2) x.re))
(* (pow x.im 2) (- (/ x.re (pow x.im 2)) (/ 1 x.re)))
(* (pow x.im 2) (- (/ x.re (pow x.im 2)) (/ 1 x.re)))
(* (pow x.im 2) (- (/ x.re (pow x.im 2)) (/ 1 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 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.im 2) (+ (/ 1 x.im) (/ 1 x.re)))
(* (pow x.im 2) (+ (/ 1 x.im) (/ 1 x.re)))
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 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)))
(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) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 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))
(* 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) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 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.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* -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)
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(* -1 (/ (pow x.im 2) x.re))
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) x.re)
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) x.re)
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 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 x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(/ (pow x.im 2) x.re)
(/ (+ (* x.im x.re) (pow x.im 2)) x.re)
(/ (+ (* x.im x.re) (pow x.im 2)) x.re)
(/ (+ (* x.im x.re) (pow x.im 2)) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(* (pow x.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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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)))))
(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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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 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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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)
(* x.im x.re)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) 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))))
(* x.im x.re)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
x.re
(* x.re (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.re (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.re (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 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 x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
x.im
(+ x.im (/ (pow x.im 2) x.re))
(+ x.im (/ (pow x.im 2) x.re))
(+ x.im (/ (pow x.im 2) x.re))
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(* (pow x.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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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)))))
(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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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 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 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* 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)
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) 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)))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
x.re
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(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))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
x.im
(+ x.im (/ (pow x.im 2) x.re))
(+ x.im (/ (pow x.im 2) x.re))
(+ x.im (/ (pow x.im 2) x.re))
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)

Outputs
(* 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 (neg.f64 x.im) x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 (neg.f64 x.im) x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 (neg.f64 x.im) 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) 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)
(* 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 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) 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 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.re x.im) x.im)
(* x.im (+ x.im x.re))
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(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im 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 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) 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 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im) x.re) x.re) x.im) (*.f64 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)
(* x.im x.re)
(*.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
x.re
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(fma.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (neg.f64 x.re) x.re)
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(fma.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (neg.f64 x.re) x.re)
(* -1 (* x.re (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(fma.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (neg.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 (/.f64 (.f64 x.im x.im) x.re) x.re) (neg.f64 x.re) x.re) x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re) (neg.f64 x.re) x.re) x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re) (neg.f64 x.re) 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 (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) 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 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) 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 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))) (.f64 x.re x.re))
(* 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))
x.im
(+ x.im (/ (pow x.im 2) x.re))
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(+ x.im (/ (pow x.im 2) x.re))
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(+ x.im (/ (pow x.im 2) x.re))
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)

rewrite168.0ms (1.8%)

Memory

11.2MiB live, 300.9MiB allocated

Rules

5 944×	`lower-*.f32`
5 910×	`lower-*.f64`
4 902×	`lower-fma.f32`
4 896×	`lower-fma.f64`
3 276×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	309
0	89	309
1	343	241
2	2426	235
0	8568	231

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 274

Calls

Call 1

Inputs
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 x.re x.re)
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.re x.im)
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(.f64 (.f64 x.re #s(literal 3 binary64)) x.im)
(*.f64 x.re #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(-.f64 x.re x.im)
#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) 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))
(neg.f64 x.im)
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(/.f64 (*.f64 x.im x.im) x.re)

Outputs
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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)
(.f64 x.im (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 x.im x.im)))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))
(/.f64 (.f64 x.im (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 x.im x.im)))
(/.f64 (.f64 x.im (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.im x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.im x.re) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.re) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.re) x.im) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 x.im (.f64 (neg.f64 x.im) x.im) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(fma.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im) (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im) (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(+.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.im) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.im)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 x.im x.im)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 x.im x.im)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (.f64 #s(literal 3 binary64) x.re) x.re)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 x.im x.im)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.im x.im) (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
(fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 (neg.f64 x.im) x.im))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re))
(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.f64 (neg.f64 x.im) x.im))
(fma.f64 x.im (neg.f64 x.im) (.f64 (.f64 #s(literal 3 binary64) x.re) x.re))
(fma.f64 x.re (.f64 #s(literal 3 binary64) x.re) (.f64 (neg.f64 x.im) x.im))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 x.im x.im))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))))
(-.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) (*.f64 x.im x.im))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.re) (*.f64 (neg.f64 x.im) x.im))
(+.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(*.f64 x.re x.re)
(pow.f64 (neg.f64 x.re) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64))
(pow.f64 x.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.re) x.im)
(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.re) x.im))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(.f64 (.f64 x.im x.re) x.re)
(.f64 (.f64 x.re x.re) x.im)
(.f64 x.im (.f64 x.re x.re))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im)) (fma.f64 (pow.f64 x.re #s(literal -2 binary64)) (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (neg.f64 x.im) x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x.re #s(literal -2 binary64)) (pow.f64 x.im #s(literal 4 binary64)) (.f64 x.im (-.f64 x.im (.f64 (/.f64 x.im x.re) x.im)))) (fma.f64 (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x.re #s(literal -1 binary64)) (pow.f64 (pow.f64 x.im #s(literal -2 binary64)) #s(literal -1 binary64)) x.im)
(fma.f64 (pow.f64 x.re #s(literal -1 binary64)) (*.f64 x.im x.im) x.im)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) x.im) x.im)
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (pow.f64 (neg.f64 x.re) #s(literal -1 binary64)) x.im)
(fma.f64 (neg.f64 x.im) (/.f64 x.im (neg.f64 x.re)) x.im)
(fma.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal -1 binary64)) x.im)
(fma.f64 x.im (/.f64 x.im x.re) x.im)
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im))) (/.f64 (.f64 x.im x.im) (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im))))
(+.f64 (*.f64 (/.f64 x.im x.re) x.im) x.im)
(+.f64 x.im (*.f64 (/.f64 x.im x.re) x.im))
(*.f64 (pow.f64 x.re #s(literal -1 binary64)) (pow.f64 (pow.f64 x.im #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x.re #s(literal -1 binary64)) (.f64 x.im x.im))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x.im x.re) x.im))
(*.f64 (/.f64 x.im x.re) x.im)
(.f64 (.f64 (neg.f64 x.im) x.im) (pow.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(*.f64 (neg.f64 x.im) (/.f64 x.im (neg.f64 x.re)))
(.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal -1 binary64)))
(*.f64 x.im (/.f64 x.im x.re))
(pow.f64 (/.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) x.im) (/.f64 x.re x.im))
(/.f64 (*.f64 x.im #s(literal 1 binary64)) (/.f64 x.re x.im))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) x.im)) (neg.f64 (neg.f64 x.re)))
(/.f64 (.f64 (.f64 x.im x.im) #s(literal 1 binary64)) x.re)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.re (*.f64 x.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.re))
(/.f64 (*.f64 x.im x.im) x.re)
(/.f64 x.im (/.f64 x.re x.im))
(neg.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(exp.f64 (.f64 (log.f64 (/.f64 x.re (.f64 x.im x.im))) #s(literal -1 binary64)))

eval94.0ms (1%)

Memory: -15.2MiB live, 254.8MiB allocated
Compiler: Compiled 14 729 to 1 257 computations (91.5% saved)

prune47.0ms (0.5%)

Memory

-13.9MiB live, 148.3MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	799	8	807
Fresh	1	3	4
Picked	3	2	5
Done	1	4	5
Total	804	17	821

Accuracy

100.0%

Counts

821 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.9%	(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
	57.1%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.im x.re))) (*.f64 #s(literal 2 binary64) x.im))
	33.6%	(fma.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
	29.5%	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)) (.f64 #s(literal 2 binary64) x.im) (.f64 (+.f64 x.re x.im) #s(literal 1 binary64))) (.f64 (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))
	76.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)) x.re) x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	91.3%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
✓	56.9%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
	71.1%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))) (.f64 x.re x.re)))
	50.7%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
✓	55.5%	#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))
✓	50.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
✓	55.5%	#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))))
	56.2%	#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
	23.4%	#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
	34.8%	#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Compiler

Compiled 748 to 293 computations (60.8% saved)

regimes46.0ms (0.5%)

Memory

30.4MiB live, 118.3MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 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)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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))
#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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.im (+.f64 x.im x.re)) (-.f64 x.re 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))
(fma.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 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))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))) (.f64 x.re x.re)))
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 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 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)) (.f64 #s(literal 2 binary64) x.im) (.f64 (+.f64 x.re x.im) #s(literal 1 binary64))) (.f64 (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)) x.re) x.re)) x.im) (.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))))
(+.f64 (/.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 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.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 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))

Outputs

(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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 #s(literal 2 binary64) x.im))

Calls

3 calls:

24.0ms	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

Accuracy	Segments	Branch
97.4%	2	`x.re`
99.3%	2	`x.im`
99.7%	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)

regimes15.0ms (0.2%)

Memory

-37.5MiB live, 41.7MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 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)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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))
#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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.im (+.f64 x.im x.re)) (-.f64 x.re 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))
(fma.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))

Outputs

(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re (+.f64 x.im 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))

Calls

2 calls:

7.0ms	x.im
6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.3%	2	`x.im`
99.3%	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 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 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)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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))
#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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))

(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))

Calls

2 calls:

6.0ms	x.im
5.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
98.7%	3	`x.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)

regimes8.0ms (0.1%)

Memory

-25.2MiB live, 14.6MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 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)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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))
#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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))

(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))

Calls

1 calls:

7.0ms

(+.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

Accuracy	Segments	Branch
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 19 to 11 computations (42.1% saved)

regimes5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 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)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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))

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 (neg.f64 x.im) x.im) x.im))

#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))

(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))

Calls

1 calls:

4.0ms

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.4%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes22.0ms (0.2%)

Memory

-10.8MiB live, 27.7MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 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)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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 (neg.f64 x.im) x.im) x.im))

#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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))

Calls

3 calls:

13.0ms	x.im
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

Accuracy	Segments	Branch
90.2%	3	`x.im`
85.3%	2	`x.re`
97.4%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 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)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re)))
#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) 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 (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 (*.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 (neg.f64 x.im) x.im) x.im))

Calls

1 calls:

3.0ms

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
97.4%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.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 (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 (*.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 (neg.f64 x.im) x.im) x.im))

Calls

1 calls:

2.0ms

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
91.3%	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 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) 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 (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 (*.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 (neg.f64 x.im) x.im) x.im))

Calls

1 calls:

2.0ms

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
91.2%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 13.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))

#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 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 (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 (*.f64 (neg.f64 x.im) x.im) x.im))

#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (*.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 (neg.f64 x.im) x.im) x.im))

Calls

3 calls:

2.0ms	x.re
2.0ms	x.im
2.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
71.7%	2	`x.re`
62.1%	2	`x.im`
75.3%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes45.0ms (0.5%)

Memory

-25.1MiB live, 13.7MiB allocated

Accuracy

Total -7.3b remaining (-17.5%)

Threshold costs -7.3b (-17.5%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (*.f64 x.re x.re) x.im))

#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))

Outputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Calls

3 calls:

41.0ms	(+.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
1.0ms	x.im

Results

Accuracy	Segments	Branch
34.8%	1	`x.im`
34.8%	1	`x.re`
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))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.468495455527986e+192	7.379571099880117e+201

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	5.7986330018480565e-28	1.297004262798567e-27

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.608795167454395e-290	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.608795167454395e-290	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

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.608795167454395e-290	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

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.608795167454395e-290	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.608795167454395e-290	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

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-6.608795167454395e-290	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify73.0ms (0.8%)

Memory

9.8MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`-commutative-binary64-.f64`
24×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1147
1	142	1147
2	158	1147
3	172	1147
4	178	1147
5	180	1147

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re 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 #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 +inf.0 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im 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)))
(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 10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (*.f64 #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 348449143727041/348449143727040986586495598010130648530944 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (*.f64 #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 -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (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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#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Outputs
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(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 -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* 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 -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.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 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 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.im x.re) (.f64 x.im x.re)) 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 x.im x.re) 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 (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 -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.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 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 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.im x.re) (.f64 x.im x.re)) 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 #s(literal 3 binary64) 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 (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 -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.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) (.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 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.im x.re) (.f64 x.im x.re)) 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 #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 (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 -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.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.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.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 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 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.im x.re) (.f64 x.im x.re)) 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.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 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 (neg.f64 x.im) x.im) x.im))))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (.f64 x.im (.f64 x.re x.re)))

soundness2.0s (20.7%)

Memory

10.1MiB live, 880.1MiB allocated

Rules

16 068×	`lower-fma.f64`
16 068×	`lower-fma.f32`
11 510×	`lower-fma.f64`
11 510×	`lower-fma.f32`
10 612×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	249
0	82	217
1	319	185
2	2075	185
0	8510	180
0	240	4167
1	791	3908
2	2743	3802
0	8222	3727
0	275	5311
1	944	4483
2	3468	3893
0	8160	3809
0	43	254
0	68	226
1	267	198
2	1787	198
0	8453	193
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891
0	59	309
0	89	309
1	343	241
2	2426	235
0	8568	231
0	11	54
0	20	54
1	79	42
0	536	41

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 942 to 657 computations (66.2% saved)

preprocess209.0ms (2.2%)

Memory: -21.6MiB live, 292.9MiB allocated
Remove: (abs x.re)
Compiler: Compiled 2 306 to 588 computations (74.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (17%)

explain272.0ms (2.9%)

preprocess361.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify318.0ms (3.4%)

localize166.0ms (1.8%)

series85.0ms (0.9%)

simplify259.0ms (2.7%)

rewrite150.0ms (1.6%)

eval44.0ms (0.5%)

prune12.0ms (0.1%)

simplify222.0ms (2.4%)

localize143.0ms (1.5%)

series62.0ms (0.7%)

simplify153.0ms (1.6%)

rewrite281.0ms (3%)

eval265.0ms (2.8%)

prune68.0ms (0.7%)

simplify169.0ms (1.8%)

localize322.0ms (3.4%)

series196.0ms (2.1%)

simplify237.0ms (2.5%)

rewrite363.0ms (3.8%)

eval356.0ms (3.8%)

prune93.0ms (1%)

simplify164.0ms (1.7%)

localize159.0ms (1.7%)

series47.0ms (0.5%)

simplify138.0ms (1.5%)

rewrite168.0ms (1.8%)

eval94.0ms (1%)

prune47.0ms (0.5%)

regimes46.0ms (0.5%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes22.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes45.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify73.0ms (0.8%)

soundness2.0s (20.7%)

preprocess209.0ms (2.2%)

end0.0ms (0%)

Profiling