Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.7s (22.3%)

Memory

-7.6MiB live, 1 639.4MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 876.0ms

ival-mult: 522.0ms (59.6% of total)

ival-sub: 220.0ms (25.1% of total)

ival-add: 125.0ms (14.3% of total)

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

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain151.0ms (2%)

Memory

8.8MiB live, 445.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
14	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
13	-	-	`(-.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	15	0
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	106
↳	`(*.f64 x.im x.im)`	overflow	64
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	113
↳	`(*.f64 x.im x.re)`	overflow	27
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	55
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	27
↳	`(*.f64 x.re x.im)`	overflow	27
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	14	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	13	0
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(*.f64 x.im x.im)`	overflow	64

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	34
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 21.0ms (73% of total)

ival-add: 4.0ms (13.9% of total)

ival-sub: 3.0ms (10.4% of total)

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

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

preprocess265.0ms (3.6%)

Memory

19.1MiB live, 283.4MiB 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: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	(+.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)

simplify164.0ms (2.2%)

Memory

15.9MiB live, 250.0MiB 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)

localize30.0ms (0.4%)

Memory

-17.8MiB live, 100.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.8007729933208236	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	3.403907262137327	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	3.820281537453087	(+.f64 (.f64 (-.f64 (.f64 x.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

22.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (74.8% of total)

ival-add: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

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

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

series17.0ms (0.2%)

Memory

-0.9MiB live, 41.2MiB 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
3.0ms	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))
3.0ms	x.re	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
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))
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))

simplify192.0ms (2.6%)

Memory

-1.2MiB live, 246.4MiB 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))

rewrite67.0ms (0.9%)

Memory

5.2MiB live, 90.1MiB 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)))

eval24.0ms (0.3%)

Memory: -14.3MiB live, 62.1MiB allocated
Compiler: Compiled 4 344 to 318 computations (92.7% saved)

prune12.0ms (0.2%)

Memory

7.7MiB live, 46.8MiB 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
	41.3%	(+.f64 (.f64 (/.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))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	35.9%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
▶	93.9%	(+.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))
	69.3%	(+.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))
▶	46.4%	(+.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))
	89.5%	#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)))
▶	46.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	61.2%	#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 276 to 176 computations (36.2% saved)

simplify189.0ms (2.5%)

Memory

-8.9MiB live, 225.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
cost-diff	704	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
cost-diff	13952	(/.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))))
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

13 886×	`lower-fma.f64`
13 886×	`lower-fma.f32`
5 482×	`lower-*.f32`
5 456×	`lower-*.f64`
2 936×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	322
0	68	304
1	118	284
2	255	284
3	1316	258
4	3496	258
5	5933	258
0	9174	257

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 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x.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 #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 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.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)))
#s(literal 0 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))

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 x.im (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))
(.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 #s(literal 2 binary64) (.f64 (*.f64 x.re x.re) x.im))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(.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 x.im (fma.f64 (.f64 #s(literal 2 binary64) x.re) x.re #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))))
(.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 #s(literal 2 binary64) (.f64 (*.f64 x.re x.re) x.im))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (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 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(.f64 x.im (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(/.f64 (.f64 (.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 #s(literal 2 binary64) (.f64 (*.f64 x.re x.re) x.im))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)
(.f64 (.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.re)
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))

localize156.0ms (2.1%)

Memory

-7.0MiB live, 204.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.8007729933208236	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	3.403907262137327	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	3.820281537453087	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
accuracy	37.90942944345557	(/.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))))
accuracy	0	(pow.f64 x.im #s(literal 3 binary64))
accuracy	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy	24.80141577162879	#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	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.403907262137327	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	3.820281537453087	(+.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	31.778461193235874	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.1796875	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	8.678155873741161	(.f64 (.f64 x.re x.re) x.im)
accuracy	30.956382462354817	#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	0.11328125	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.820281537453087	(+.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

95.0ms

256×

valid

Compiler

Compiled 299 to 32 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 57.0ms (74.1% of total)

ival-add: 7.0ms (9.1% of total)

ival-pow: 5.0ms (6.5% of total)

ival-div: 2.0ms (2.6% of total)

ival-sub: 2.0ms (2.6% of total)

ival-pow2: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.5%)

Memory

-4.4MiB live, 76.0MiB 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 #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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (patch (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.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>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im))
4.0ms	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) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im))
3.0ms	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) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im))
2.0ms	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) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im))
2.0ms	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) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (+ 0 (pow (* x.im x.re) 2)) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im))

simplify126.0ms (1.7%)

Memory

3.8MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 792×	`lower-fma.f64`
10 792×	`lower-fma.f32`
3 112×	`lower-*.f64`
3 112×	`lower-*.f32`
1 826×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	4692
1	547	3888
2	1859	3368
3	6435	3368
0	8300	3306

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

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

rewrite234.0ms (3.1%)

Memory

47.8MiB live, 394.1MiB allocated

Rules

6 184×	`lower-fma.f64`
6 184×	`lower-fma.f32`
4 396×	`lower-/.f32`
4 394×	`lower-/.f64`
3 956×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	236
0	68	230
1	247	186
2	1733	186
0	8757	181

Stop Event

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

Counts

20 → 980

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 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(-.f64 (.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 x.re x.re) (*.f64 x.im x.im)) x.im)

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

eval193.0ms (2.6%)

Memory: 18.2MiB live, 376.5MiB allocated
Compiler: Compiled 45 225 to 2 459 computations (94.6% saved)

prune87.0ms (1.2%)

Memory

-19.5MiB live, 201.3MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 598	9	1 607
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	1 604	11	1 615

Accuracy

100.0%

Counts

1 615 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.0%	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
	32.4%	(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.re) (.f64 x.re x.im)) (+.f64 x.re x.im) (.f64 (.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (*.f64 x.re x.im) (+.f64 x.re x.im)))
	82.7%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	93.9%	(+.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))
▶	89.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	46.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
▶	61.2%	#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))
▶	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
✓	61.2%	#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 321 to 197 computations (38.6% saved)

simplify169.0ms (2.3%)

Memory

21.0MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))
cost-diff	320	(/.f64 x.re (*.f64 x.re x.im))
cost-diff	1024	(/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im))
cost-diff	7488	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
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 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re 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 #s(literal 3 binary64) x.re) (*.f64 x.re 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

17 746×	`lower-fma.f32`
17 742×	`lower-fma.f64`
4 372×	`lower-*.f32`
4 346×	`lower-*.f64`
2 196×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	299
0	73	299
1	158	291
2	384	288
3	2226	242
4	4913	240
0	8082	239

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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.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
(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im))
(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.re x.im)
x.re
x.im
#s(literal 3 binary64)
#s(literal 2 binary64)
(/.f64 x.re (*.f64 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)

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 x.re x.re) #s(literal 3 binary64) (*.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) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
(neg.f64 (pow.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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 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) (*.f64 x.re x.re))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(.f64 (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.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
(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(.f64 x.im (fma.f64 (.f64 #s(literal 2 binary64) x.re) x.re #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))))
(/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im))
(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.re x.im)
x.re
x.im
#s(literal 3 binary64)
#s(literal 2 binary64)
(/.f64 x.re (*.f64 x.re x.im))
(/.f64 #s(literal 1 binary64) 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)

localize132.0ms (1.8%)

Memory

-16.7MiB live, 183.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.237889876891977	(/.f64 x.re (*.f64 x.re x.im))
accuracy	12.540038491311973	(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
accuracy	18.810194043970167	(/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im))
accuracy	31.778461193235874	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(neg.f64 x.im)
accuracy	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy	2.8710854933208236	(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
accuracy	3.4412113670481568	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy	0	(*.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.22265625	(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
accuracy	30.956382462354817	#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)))
accuracy	0	(*.f64 (neg.f64 x.im) x.im)
accuracy	0	(neg.f64 x.im)
accuracy	0.109375	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
accuracy	24.80141577162879	#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	0.0078125	(*.f64 x.im (+.f64 x.im x.re))
accuracy	0.11328125	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.1171875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	3.820281537453087	(+.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

101.0ms

256×

valid

Compiler

Compiled 265 to 45 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 35.0ms (57% of total)

ival-add: 10.0ms (16.3% of total)

ival-div: 5.0ms (8.1% of total)

ival-pow: 5.0ms (8.1% of total)

ival-sub: 2.0ms (3.3% of total)

ival-pow2: 2.0ms (3.3% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.6%)

Memory

-3.4MiB live, 72.4MiB 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 #s(literal 3 binary64) x.re) (.f64 x.re x.im))) (patch #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) x.re) (patch (.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())
#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im)) x.im)) (patch #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.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 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (patch (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (patch (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (/.f64 x.re (.f64 x.re x.im)) (patch (/.f64 x.re (.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (patch (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) #<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 #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>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 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 x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im)) (* (pow (* x.re x.im) 3) 2) (* (* x.re (+ x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)))
6.0ms	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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 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 x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im)) (* (pow (* x.re x.im) 3) 2) (* (* x.re (+ x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)))
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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 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 x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im)) (* (pow (* x.re x.im) 3) 2) (* (* x.re (+ x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)))
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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 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 x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im)) (* (pow (* x.re x.im) 3) 2) (* (* x.re (+ x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)))
3.0ms	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)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 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 x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im)) (* (pow (* x.re x.im) 3) 2) (* (* x.re (+ x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)))

simplify163.0ms (2.2%)

Memory

18.1MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 606×	`lower-fma.f64`
10 606×	`lower-fma.f32`
3 368×	`lower-*.f64`
3 368×	`lower-*.f32`
2 404×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	5049
1	624	4201
2	1997	3655
3	7244	3655
0	8403	3581

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

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

rewrite165.0ms (2.2%)

Memory

-27.7MiB live, 93.8MiB allocated

Rules

2 236×	`lower-fma.f32`
2 232×	`lower-fma.f64`
1 516×	`lower-*.f32`
1 490×	`lower-*.f64`
922×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	245
0	73	238
1	336	192
0	2476	187

Stop Event

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

Counts

22 → 498

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

eval169.0ms (2.3%)

Memory: 20.0MiB live, 204.4MiB allocated
Compiler: Compiled 21 156 to 1 570 computations (92.6% saved)

prune54.0ms (0.7%)

Memory

-1.2MiB live, 120.7MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 098	7	1 105
Fresh	3	1	4
Picked	1	4	5
Done	0	2	2
Total	1 102	14	1 116

Accuracy

100.0%

Counts

1 116 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
▶	26.5%	(fma.f64 #s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
✓	93.9%	(+.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))
▶	92.1%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	71.5%	#s(approx (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) 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)))
	91.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	89.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
▶	83.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im))
✓	46.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	61.2%	#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))
✓	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
✓	61.2%	#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 289 to 203 computations (29.8% saved)

simplify151.0ms (2%)

Memory

2.6MiB live, 204.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64)))
cost-diff	320	(/.f64 x.re (*.f64 x.re x.im))
cost-diff	320	(fma.f64 #s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
cost-diff	0	(.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im))
cost-diff	704	(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
cost-diff	704	(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
cost-diff	0	(+.f64 x.re x.im)
cost-diff	0	(*.f64 (+.f64 x.re x.im) x.im)
cost-diff	0	(-.f64 x.re x.im)
cost-diff	320	(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) x.re) #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.im) x.re) #s(literal 3 binary64)))
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 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im 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 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	896	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)

Rules

15 264×	`lower-fma.f32`
15 258×	`lower-fma.f64`
3 580×	`lower-*.f32`
3 544×	`lower-*.f64`
2 190×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	444
0	100	443
1	205	427
2	471	426
3	2263	375
4	5863	365
0	8125	362

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.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 (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)
x.im
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 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(.f64 (.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(literal 3 binary64)
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 (+.f64 x.re x.im) x.im)
(+.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im))
(.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im)
#s(approx (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))
#s(literal 3 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
(fma.f64 #s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
#s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) x.im)
(.f64 (.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 2 binary64)
(/.f64 x.re (*.f64 x.re x.im))
(*.f64 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))

Outputs
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(fma.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re x.im) (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (*.f64 (+.f64 x.re x.im) x.im))))
(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im))
(.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (*.f64 (+.f64 x.re x.im) 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.re x.im) x.im))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(*.f64 (+.f64 x.re x.im) x.im)
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(/.f64 x.im 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 (*.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 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)))
(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(.f64 (.f64 x.re x.re) x.im)
(*.f64 x.re x.im)
x.re
x.im
#s(literal 3 binary64)
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
(*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(-.f64 x.re x.im)
x.re
x.im
(*.f64 (+.f64 x.re x.im) x.im)
(+.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 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)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))) x.im))
(.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im)
(.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))) x.im)
#s(approx (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re))
#s(approx (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
(neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.im (*.f64 #s(literal 3 binary64) x.re))
(-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))
(-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re))
#s(literal 3 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
(fma.f64 #s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (/.f64 #s(approx (/ ( (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64))) x.im))
#s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64)))
#s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) x.im)
(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(.f64 (.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 2 binary64)
(/.f64 x.re (*.f64 x.re x.im))
(/.f64 #s(literal 1 binary64) x.im)
(*.f64 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))

localize204.0ms (2.7%)

Memory

7.7MiB live, 204.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.678155873741161	(.f64 (.f64 x.re x.re) x.im)
accuracy	12.237889876891977	(/.f64 x.re (*.f64 x.re x.im))
accuracy	12.540038491311973	(fma.f64 #s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
accuracy	31.778461193235874	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	3.384807614368877	(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
accuracy	3.4412113670481568	(.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im)
accuracy	3.851722916276389	(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
accuracy	7.16821221516464	(/.f64 (*.f64 x.im x.im) x.re)
accuracy	0	(+.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	0.0078125	(*.f64 (+.f64 x.re x.im) x.im)
accuracy	0.078125	(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.11328125	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.1796875	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy	30.956382462354817	#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)))
accuracy	0.11328125	(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im))
accuracy	0.1171875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	3.318401364368877	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
accuracy	3.820281537453087	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

106.0ms	235×	0	valid
9.0ms	8×	3	valid
5.0ms	4×	4	valid
4.0ms	6×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 328 to 61 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 43.0ms (41.6% of total)

ival-div: 26.0ms (25.2% of total)

ival-add: 14.0ms (13.6% of total)

adjust: 6.0ms (5.8% of total)

ival-pow: 5.0ms (4.8% of total)

ival-sub: 4.0ms (3.9% of total)

ival-pow2: 3.0ms (2.9% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series77.0ms (1%)

Memory

-24.8MiB live, 58.2MiB allocated

Counts

25 → 588

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	x.re	@	0	((* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.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.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (* (+ x.re x.im) x.im) (+ x.re x.im) (* (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) x.re) (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ x.re (* x.re x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (* (* (* (* x.re x.re) x.im) x.im) 2) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (/ (* x.im x.im) x.re) (- (* x.re x.re) (* x.im x.im)) (* (* x.re x.re) x.im))
4.0ms	x.im	@	-inf	((* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.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.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (* (+ x.re x.im) x.im) (+ x.re x.im) (* (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) x.re) (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ x.re (* x.re x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (* (* (* (* x.re x.re) x.im) x.im) 2) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (/ (* x.im x.im) x.re) (- (* x.re x.re) (* x.im x.im)) (* (* x.re x.re) x.im))
4.0ms	x.im	@	inf	((* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.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.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (* (+ x.re x.im) x.im) (+ x.re x.im) (* (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) x.re) (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ x.re (* x.re x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (* (* (* (* x.re x.re) x.im) x.im) 2) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (/ (* x.im x.im) x.re) (- (* x.re x.re) (* x.im x.im)) (* (* x.re x.re) x.im))
4.0ms	x.re	@	-inf	((* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.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.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (* (+ x.re x.im) x.im) (+ x.re x.im) (* (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) x.re) (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ x.re (* x.re x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (* (* (* (* x.re x.re) x.im) x.im) 2) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (/ (* x.im x.im) x.re) (- (* x.re x.re) (* x.im x.im)) (* (* x.re x.re) x.im))
4.0ms	x.im	@	0	((* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.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.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (- x.re x.im) (* (+ x.re x.im) x.im) (+ x.re x.im) (* (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) x.re) (* (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (/ x.re (* x.re x.im)) (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (* (* (* (* x.re x.re) x.im) x.im) 2) (* (* x.re (+ x.im x.im)) x.re) (* 2 x.im) (/ (* x.im x.im) x.re) (- (* x.re x.re) (* x.im x.im)) (* (* x.re x.re) x.im))

simplify206.0ms (2.8%)

Memory

29.8MiB live, 100.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 742×	`lower-fma.f64`
10 742×	`lower-fma.f32`
3 350×	`lower-*.f64`
3 350×	`lower-*.f32`
2 042×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	5752
1	808	5000
2	2651	4506
3	7328	4490
0	8014	4382

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 579

Calls

Call 1

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

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

rewrite199.0ms (2.7%)

Memory

-4.6MiB live, 151.0MiB allocated

Rules

4 004×	`lower-fma.f32`
3 998×	`lower-fma.f64`
1 942×	`lower-*.f32`
1 906×	`lower-*.f64`
1 332×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	341
0	100	341
1	432	290
0	3406	286

Stop Event

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

Counts

25 → 689

Calls

Call 1

Inputs
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.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))
#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)))
(.f64 (.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)
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
(-.f64 x.re x.im)
(*.f64 (+.f64 x.re x.im) x.im)
(+.f64 x.re x.im)
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)
(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im))
(.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im)
(fma.f64 #s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(/.f64 x.re (*.f64 x.re x.im))
#s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 #s(literal 2 binary64) x.im)
(/.f64 (*.f64 x.im x.im) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(.f64 (.f64 x.re x.re) x.im)

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

eval341.0ms (4.6%)

Memory: -40.9MiB live, 229.1MiB allocated
Compiler: Compiled 27 956 to 2 015 computations (92.8% saved)

prune63.0ms (0.8%)

Memory

4.5MiB live, 83.0MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 333	11	1 344
Fresh	2	1	3
Picked	4	1	5
Done	0	6	6
Total	1 339	19	1 358

Accuracy

100.0%

Counts

1 358 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.8%	(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im)))
	58.9%	(fma.f64 (-.f64 x.re x.im) #s(approx (* (+ x.re x.im) x.im) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
	73.2%	(fma.f64 x.im (+.f64 x.re x.re) (.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))))
✓	93.9%	(+.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))
	91.7%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	60.1%	(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)))
	75.0%	#s(approx (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (.f64 (.f64 x.im (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
✓	89.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
	87.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)) x.re) x.re)) x.im))
	59.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) x.im))
	46.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (*.f64 #s(literal 3 binary64) x.re)) x.re)) x.im))
✓	46.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	61.2%	#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))
✓	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
✓	61.2%	#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))))
	19.8%	#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
	31.7%	#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Compiler

Compiled 794 to 323 computations (59.3% saved)

regimes30.0ms (0.4%)

Memory

33.1MiB live, 33.1MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (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 x.re (.f64 (*.f64 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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 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 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (*.f64 #s(literal 3 binary64) x.re)) x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)))
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (/.f64 (*.f64 (neg.f64 x.im) x.im) 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))
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im)))
(+.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 (-.f64 x.re x.im) #s(approx (* (+ x.re x.im) x.im) (.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))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 x.im (+.f64 x.re x.re) (.f64 (-.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))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) x.re) x.re)) x.im))
#s(approx (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) 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)))
#s(approx (+ (* (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (/ x.re (* x.re x.im))) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (.f64 (.f64 x.im (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im 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.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)) x.re) x.re)) x.im))
(fma.f64 #s(approx (/ (* (pow (* x.re x.im) 3) 2) (* x.re x.im)) (.f64 (.f64 (.f64 (.f64 x.re x.re) x.im) x.im) #s(literal 2 binary64))) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) 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))))
(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 x.re x.im)) (/.f64 x.re (.f64 x.re x.im)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(+.f64 (.f64 (/.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))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.re) (.f64 x.re x.im)) (+.f64 x.re x.im) (.f64 (.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (*.f64 x.re x.im) (+.f64 x.re x.im)))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))

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

Calls

3 calls:

10.0ms	x.re
10.0ms	x.im
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
98.2%	2	`x.re`
99.8%	2	`x.im`
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes52.0ms (0.7%)

Memory

-17.3MiB live, 21.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (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 x.re (.f64 (*.f64 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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 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 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (*.f64 #s(literal 3 binary64) x.re)) x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)))
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) x.im))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Outputs

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

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

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))
5.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
98.2%	2	`x.re`
99.1%	3	`x.im`
99.7%	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)

regimes8.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (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 x.re (.f64 (*.f64 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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 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 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (*.f64 #s(literal 3 binary64) x.re)) x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
(*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)))
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))

Outputs

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

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

Calls

2 calls:

4.0ms	x.re
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
99.3%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
85.0%	2	`x.re`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (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 x.re (.f64 (*.f64 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 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 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 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 #s(approx (+ ( 3 (* x.re x.re)) (* (neg x.im) x.im)) (.f64 #s(approx ( (- 3 (/ (/ (* x.im x.im) x.re) x.re)) x.re) (*.f64 #s(literal 3 binary64) x.re)) x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (* (* 2 (pow (* x.im x.re) 3)) x.re) (+ 0 (pow (* x.im x.re) 2)))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))

Outputs

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

2 calls:

3.0ms	x.im
3.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
83.6%	2	`x.im`
95.8%	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)

regimes32.0ms (0.4%)

Memory

-41.3MiB live, 3.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

1 calls:

32.0ms

(+.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
95.8%	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)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.0%	2	`x.im`
74.6%	2	`x.re`
76.0%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -7.6b remaining (-17.4%)

Threshold costs -7.6b (-17.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

2.0ms	x.re
2.0ms	x.im
1.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
31.7%	1	`x.im`
31.7%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
31.7%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.1679940537220078e+148	1.7004301925733903e+153

Samples

10.0ms

144×

valid

Compiler

Compiled 202 to 178 computations (11.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (72.7% of total)

ival-sub: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

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

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.442847749964057e-305	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.442847749964057e-305	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.442847749964057e-305	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch70.0ms (0.9%)

Memory

-28.9MiB live, 9.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
68.0ms	2.1679940537220078e+148	1.7004301925733903e+153

Samples

63.0ms

128×

valid

Compiler

Compiled 139 to 133 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 59.0ms (97.3% of total)

ival-sub: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

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

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

simplify25.0ms (0.3%)

Memory

28.8MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`-commutative-binary64-.f64`
22×	`+-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	72	532
1	102	532
2	118	532
3	132	532
4	138	532
5	140	532

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 x.re (+.f64 x.im x.im)) x.re)) (*.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64))))
(if (<=.f64 x.re #s(literal 1699999999999999869297285713236606579815589958970929810513396484474032052745076701673403161338856309300801656094417858546023538117120265684825515113840640 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))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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))) (.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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.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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 x.re (.f64 (.f64 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 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 x.re #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im)))
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.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 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64))))
(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)) (+.f64 (.f64 (.f64 (+.f64 x.im x.im) x.re) x.re) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.im))) (*.f64 (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(if (<=.f64 x.re #s(literal 1699999999999999869297285713236606579815589958970929810513396484474032052745076701673403161338856309300801656094417858546023538117120265684825515113840640 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))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 1699999999999999869297285713236606579815589958970929810513396484474032052745076701673403161338856309300801656094417858546023538117120265684825515113840640 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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))) (.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 2 binary64)))))
(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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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))) (.f64 (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 x.re (.f64 (.f64 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 (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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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.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 x.re #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im)))
(if (<=.f64 x.re #s(literal 52000000000000000275418768484055537171118904533584512359612951330819811327199134880886264166489865722894845882927392014243898492188648388993688272896 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 x.im (.f64 x.re x.re))))
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- x.re x.im) (* (+ x.re x.im) x.im)) (* 2 x.im)) (.f64 x.im (.f64 x.re x.re)))

soundness1.3s (17.1%)

Memory

9.3MiB live, 840.8MiB allocated

Rules

16 068×	`lower-fma.f64`
16 068×	`lower-fma.f32`
10 742×	`lower-fma.f64`
10 742×	`lower-fma.f32`
6 184×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	5752
1	808	5000
2	2651	4506
3	7328	4490
0	8014	4382
0	43	236
0	68	230
1	247	186
2	1733	186
0	8757	181
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891
0	48	245
0	73	238
1	336	192
0	2476	187
0	11	54
0	20	54
1	79	42
0	536	41
0	66	341
0	100	341
1	432	290
0	3406	286

Stop Event

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

Compiler

Compiled 1 049 to 382 computations (63.6% saved)

preprocess184.0ms (2.5%)

Memory: -15.7MiB live, 345.2MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 254 to 442 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (22.3%)

explain151.0ms (2%)

preprocess265.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify164.0ms (2.2%)

localize30.0ms (0.4%)

series17.0ms (0.2%)

simplify192.0ms (2.6%)

rewrite67.0ms (0.9%)

eval24.0ms (0.3%)

prune12.0ms (0.2%)

simplify189.0ms (2.5%)

localize156.0ms (2.1%)

series34.0ms (0.5%)

simplify126.0ms (1.7%)

rewrite234.0ms (3.1%)

eval193.0ms (2.6%)

prune87.0ms (1.2%)

simplify169.0ms (2.3%)

localize132.0ms (1.8%)

series45.0ms (0.6%)

simplify163.0ms (2.2%)

rewrite165.0ms (2.2%)

eval169.0ms (2.3%)

prune54.0ms (0.7%)

simplify151.0ms (2%)

localize204.0ms (2.7%)

series77.0ms (1%)

simplify206.0ms (2.8%)

rewrite199.0ms (2.7%)

eval341.0ms (4.6%)

prune63.0ms (0.8%)

regimes30.0ms (0.4%)

regimes52.0ms (0.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes32.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch70.0ms (0.9%)

simplify25.0ms (0.3%)

soundness1.3s (17.1%)

preprocess184.0ms (2.5%)

end0.0ms (0%)

Profiling