Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.2s (13.2%)

Memory

-7.1MiB live, 1 498.9MiB allocated

Samples

888.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 570.0ms

ival-mult: 451.0ms (79.1% of total)

ival-add: 73.0ms (12.8% of total)

ival-sub: 38.0ms (6.7% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain237.0ms (2.6%)

Memory

19.7MiB live, 336.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
26	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
25	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.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)`
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 x.re x.re) (.f64 x.im x.im))`	nan-rescue	26	0
↳	`(*.f64 x.re x.re)`	overflow	75
↳	`(*.f64 x.im x.im)`	overflow	68
`+.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	25	0
↳	`(*.f64 x.re x.re)`	overflow	75
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	117
↳	`(*.f64 x.im x.im)`	overflow	68
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	121
↳	`(*.f64 x.im x.re)`	overflow	41
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	78
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	41
↳	`(*.f64 x.re x.im)`	overflow	41
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	14	0

Confusion

	Predicted +	Predicted -
+	53	0
-	0	203

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	0
-	0	0	203

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	203
1	41
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

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: 20.0ms (69.1% of total)

ival-add: 6.0ms (20.7% of total)

ival-sub: 2.0ms (6.9% of total)

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

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

preprocess392.0ms (4.2%)

Memory

8.5MiB live, 198.7MiB allocated

Algorithm

1×	egg-herbie

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(+.f64 (.f64 (-.f64 (.f64 x.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)

simplify275.0ms (3%)

Memory

-5.5MiB live, 124.0MiB 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))

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)

localize98.0ms (1.1%)

Memory

-28.9MiB live, 44.4MiB 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	3.344468443815326	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	5.7968502299624705	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	6.351510895755145	(+.f64 (.f64 (-.f64 (.f64 x.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

45.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 33.0ms (88.9% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

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

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

series15.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB 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	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.re	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify226.0ms (2.4%)

Memory

12.6MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite122.0ms (1.3%)

Memory

-27.5MiB live, 10.5MiB allocated

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
#<batchref>
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eval71.0ms (0.8%)

Memory: 9.4MiB live, 43.6MiB allocated
Compiler: Compiled 4 344 to 318 computations (92.7% saved)

prune11.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB 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
▶	12.9%	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	33.7%	(+.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))
▶	90.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	61.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	55.7%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	84.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
▶	55.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	56.2%	#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 288 to 180 computations (37.5% saved)

simplify329.0ms (3.5%)

Memory

-2.8MiB live, 232.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	347
0	68	347
1	116	325
2	207	325
3	426	303
4	920	303
5	2332	303
6	5143	303
0	8061	301

Stop Event

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

Calls

Call 1

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

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

localize292.0ms (3.1%)

Memory

-6.6MiB live, 156.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.4296875000000004	(fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
accuracy	6.351510895755145	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	12.92572551741557	(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
accuracy	51.09454900518077	(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
accuracy	0	(pow.f64 x.im #s(literal 3 binary64))
accuracy	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy	28.047993886301136	#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	3.344468443815326	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	6.351510895755145	(+.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	26.241044705663974	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.1640625	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	6.1431478206014845	(.f64 (.f64 x.re x.re) x.im)
accuracy	25.01381722517247	#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	0.015625	(*.f64 (-.f64 x.re x.im) x.im)
accuracy	0.109375	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	6.351510895755145	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

190.0ms

256×

valid

Compiler

Compiled 331 to 35 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-add: 78.0ms (69.3% of total)

ival-mult: 17.0ms (15.1% of total)

ival-pow: 10.0ms (8.9% of total)

ival-sub: 4.0ms (3.6% of total)

ival-div: 2.0ms (1.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series226.0ms (2.4%)

Memory

-19.8MiB live, 107.8MiB allocated

Counts

21 → 468

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
85.0ms	x.re	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
35.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
5.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
4.0ms	x.im	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
4.0ms	x.re	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))

simplify279.0ms (3%)

Memory

9.3MiB live, 122.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	5434
1	979	4594
2	3548	4004
0	8332	3920

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

Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 2 (* x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
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(*.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 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)
(* (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 (.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) 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 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2))))
(.f64 (.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(.f64 (.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* x.im (pow x.re 6))
(*.f64 (pow.f64 x.re #s(literal 6 binary64)) x.im)
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(*.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(*.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))
(* (pow x.re 6) (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))))
(*.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 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 x.re)
(*.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (pow.f64 x.re #s(literal 4 binary64)))

rewrite235.0ms (2.5%)

Memory

1.6MiB live, 312.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	257
0	68	229
1	265	201
2	1781	201
0	8479	196

Stop Event

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

Counts

21 → 900

Calls

Call 1

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

Outputs
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eval269.0ms (2.9%)

Memory: -4.3MiB live, 407.1MiB allocated
Compiler: Compiled 51 904 to 2 614 computations (95% saved)

prune61.0ms (0.7%)

Memory

15.3MiB live, 177.5MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1 578	10	1 588
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	1 584	12	1 596

Accuracy

100.0%

Counts

1 596 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.0%	(+.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 x.im x.im) (-.f64 x.im x.re)) (.f64 (-.f64 x.im x.re) (.f64 x.re x.re))) (.f64 (-.f64 x.im x.re) (-.f64 x.im x.re))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	90.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	90.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	71.4%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	84.6%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶	60.8%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
✓	55.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	56.1%	#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))
	55.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
▶	60.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
	60.8%	#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))))
✓	56.2%	#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 353 to 225 computations (36.3% saved)

simplify191.0ms (2.1%)

Memory

-6.2MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im)
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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	1856	(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
cost-diff	0	(*.f64 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 (-.f64 x.re x.im) x.im)
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	704	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	333
0	85	321
1	159	321
2	288	317
3	599	295
4	1614	295
5	3720	271
6	5983	271
0	8133	267

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.3%)

Memory

-17.2MiB live, 227.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.344468443815326	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im)
accuracy	6.351510895755145	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	10.561721743273548	(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
accuracy	0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	0.109375	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
accuracy	0.1875	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
accuracy	25.01381722517247	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
accuracy	0	(*.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.15625	(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
accuracy	25.01381722517247	#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	0.05078125	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
accuracy	28.047993886301136	#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	0.015625	(*.f64 (-.f64 x.re x.im) x.im)
accuracy	0.109375	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.1171875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	6.351510895755145	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

89.0ms

256×

valid

Compiler

Compiled 272 to 48 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 33.0ms (46.8% of total)

ival-add: 19.0ms (26.9% of total)

ival-pow: 8.0ms (11.3% of total)

ival-div: 5.0ms (7.1% of total)

ival-sub: 4.0ms (5.7% of total)

exact: 1.0ms (1.4% of total)

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

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

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

series51.0ms (0.6%)

Memory

2.3MiB live, 79.5MiB allocated

Counts

22 → 468

Calls

Call 1

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

Outputs
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 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 x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 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 x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (* -1 x.im))) (taylor 0 x.im) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 3)) (taylor 0 x.re) (#s(alt (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 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 0 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 0 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 0 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 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) (taylor inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) (taylor inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re)))) (taylor inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #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 (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #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 (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #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 (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im))) (patch #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor inf x.re) (#s(alt (.f64 #s(literal 3 binary64) x.re) (patch (.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor inf x.re) (#s(alt (.f64 #s(literal 3 binary64) x.re) (patch (.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor inf x.re) (#s(alt (.f64 #s(literal 3 binary64) x.re) (patch (.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 x.re) (taylor inf x.re) (#s(alt (.f64 #s(literal 3 binary64) x.re) (patch (.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt (* 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 (* 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2)))) (taylor inf x.re) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4)))))) (taylor inf x.re) (#s(alt #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (patch #s(approx (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) (patch (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)) (patch (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.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 (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)) (patch (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.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 (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)) (patch (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.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 (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)) (patch (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1))) (taylor -inf x.re) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) x.im) (patch (.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.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
5.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* 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) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* 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 x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	x.im	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* 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) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* 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 x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* 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) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* 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 x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* 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) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* 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 x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* 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) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* 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 x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify153.0ms (1.6%)

Memory

-2.3MiB live, 156.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	4769
1	780	4007
2	2824	3471
3	7356	3471
0	8455	3415

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

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

rewrite528.0ms (5.7%)

Memory

11.7MiB live, 208.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	262
0	85	230
1	338	200
2	2245	197
0	9311	192

Stop Event

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

Counts

22 → 952

Calls

Call 1

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

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eval539.0ms (5.8%)

Memory: -5.3MiB live, 302.0MiB allocated
Compiler: Compiled 44 093 to 2 699 computations (93.9% saved)

prune333.0ms (3.6%)

Memory

9.3MiB live, 171.7MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1 454	5	1 459
Fresh	3	2	5
Picked	1	4	5
Done	0	2	2
Total	1 458	13	1 471

Accuracy

100.0%

Counts

1 471 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) (.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
	41.0%	(+.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 x.im x.im) (-.f64 x.im x.re)) (.f64 (-.f64 x.im x.re) (.f64 x.re x.re))) (.f64 (-.f64 x.im x.re) (-.f64 x.im x.re))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	90.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	90.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	48.4%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (+.f64 x.im x.im))
▶	84.6%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶	60.8%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
▶	55.7%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	60.8%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
✓	55.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	56.1%	#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))
✓	60.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
✓	56.2%	#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 357 to 217 computations (39.2% saved)

simplify204.0ms (2.2%)

Memory

10.2MiB live, 181.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im)
cost-diff	320	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (+.f64 x.im 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 (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re)
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
cost-diff	320	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	1088	(/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))
cost-diff	1088	(/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im))
cost-diff	6848	(/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	477
0	96	457
1	181	431
2	391	423
3	991	393
4	4162	373
5	6813	373
0	8207	363

Stop Event

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

Calls

Call 1

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

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

localize311.0ms (3.4%)

Memory

-0.2MiB live, 321.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (+.f64 x.im x.im))
accuracy	0.08984375	(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))
accuracy	3.344468443815326	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im)
accuracy	10.561721743273548	(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
accuracy	0	(neg.f64 x.im)
accuracy	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy	3.3592666418728867	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy	5.8476314799624705	(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.109375	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re)
accuracy	0.22265625	(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
accuracy	25.01381722517247	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
accuracy	0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.09765625	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
accuracy	6.1537894527002175	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
accuracy	25.01381722517247	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
accuracy	0.109375	(.f64 (+.f64 x.im x.re) (.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))))
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.15234375	(/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))
accuracy	6.351510895755145	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

232.0ms

256×

valid

Compiler

Compiled 413 to 56 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-add: 63.0ms (37.3% of total)

ival-div: 40.0ms (23.7% of total)

ival-mult: 30.0ms (17.8% of total)

ival-sub: 22.0ms (13% of total)

ival-pow: 12.0ms (7.1% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series91.0ms (1%)

Memory

-15.2MiB live, 104.1MiB allocated

Counts

24 → 528

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x.re	@	inf	((/ x.im (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (+ (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (neg x.im) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1))
9.0ms	x.im	@	0	((/ x.im (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (+ (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (neg x.im) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1))
4.0ms	x.im	@	inf	((/ x.im (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (+ (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (neg x.im) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1))
4.0ms	x.re	@	0	((/ x.im (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (+ (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (neg x.im) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1))
3.0ms	x.im	@	-inf	((/ x.im (pow (- x.im x.re) -1)) (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re)) (+ (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ x.im x.re) (* (* (/ (+ x.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ x.im (pow (- x.im x.re) -1)))) (neg x.im) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1))

simplify170.0ms (1.8%)

Memory

11.1MiB live, 253.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	4989
1	869	4284
2	3078	3874
3	7768	3874
0	8332	3799

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

rewrite170.0ms (1.8%)

Memory

-8.5MiB live, 302.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	375
0	96	357
1	392	253
2	3349	242
0	9136	238

Stop Event

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

Counts

24 → 624

Calls

Call 1

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

Outputs
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eval168.0ms (1.8%)

Memory: 25.9MiB live, 375.4MiB allocated
Compiler: Compiled 28 281 to 2 156 computations (92.4% saved)

prune61.0ms (0.7%)

Memory

-3.8MiB live, 198.7MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 220	6	1 226
Fresh	1	1	2
Picked	2	3	5
Done	1	5	6
Total	1 224	15	1 239

Accuracy

100.0%

Counts

1 239 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (neg.f64 x.im) (-.f64 x.im x.re)) (+.f64 x.re x.im)))
	25.0%	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) (.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
	90.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) #s(approx (/ (- x.re x.im) (- x.im x.re)) #s(literal -1 binary64))) (/.f64 x.im (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	89.3%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	84.6%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	60.8%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re))
✓	55.7%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	60.8%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
	37.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (.f64 (fma.f64 (/.f64 x.im (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im) (*.f64 x.re x.re)))
	25.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
	41.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (.f64 (.f64 x.re x.re) x.im))
✓	55.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	56.1%	#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))
✓	60.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
✓	56.2%	#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 712 to 265 computations (62.8% saved)

regimes29.0ms (0.3%)

Memory

-7.2MiB live, 73.5MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	x.re
9.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
8.0ms	x.im

Results

Accuracy	Segments	Branch
96.0%	2	`x.re`
98.2%	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)

regimes13.0ms (0.1%)

Memory

-10.5MiB live, 28.7MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	x.im
5.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
97.8%	2	`x.im`
95.1%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
96.0%	2	`x.re`
93.7%	2	`x.im`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

-26.3MiB live, 12.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
95.1%	2	`x.re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

3 calls:

4.0ms	x.re
4.0ms	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
80.6%	2	`x.im`
93.9%	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))`
82.9%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

-24.3MiB live, 15.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

3.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
61.7%	2	`x.im`
71.6%	2	`x.re`
74.0%	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

14.1MiB live, 14.1MiB allocated

Accuracy

Total -10.2b remaining (-27%)

Threshold costs -10.2b (-27%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

1.0ms	x.re
1.0ms	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
41.0%	1	`x.im`
41.0%	1	`x.re`
41.0%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch19.0ms (0.2%)

Memory

-20.3MiB live, 31.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.165484286917492e+194	1.056082816078063e+198

Samples

13.0ms

128×

valid

Compiler

Compiled 214 to 160 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (51.1% of total)

ival-sub: 4.0ms (40.9% of total)

ival-add: 1.0ms (10.2% of total)

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

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

bsearch8.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.0787928846568351e+160	1.8344795765387438e+160

Samples

5.0ms

64×

valid

Compiler

Compiled 102 to 88 computations (13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (62.2% of total)

ival-add: 1.0ms (31.1% of total)

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

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

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

bsearch13.0ms (0.1%)

Memory

-17.0MiB live, 22.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0581260185222571e+136	9.197891220888925e+136

Samples

8.0ms

96×

valid

Compiler

Compiled 142 to 124 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (84.3% of total)

ival-add: 1.0ms (16.9% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.736582794221015e-286	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.736582794221015e-286	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify29.0ms (0.3%)

Memory

-15.5MiB live, 63.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	526
1	128	526
2	148	526
3	166	526
4	175	526
5	178	526

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 x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)))
(if (<=.f64 x.re #s(literal 12199999999999999985994117980352597052069186527846256712049646065585889843187872205101459597593449180086754721723595323141567209889024420171105878974886144114688 binary64)) #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.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) (* (+ (* 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 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)))
(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 -8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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.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 -8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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.im x.im)) (.f64 (.f64 x.re x.re) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im 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 x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (+.f64 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)) (+.f64 (.f64 (.f64 (+.f64 x.im x.im) x.re) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))) (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)))
(if (<=.f64 x.im #s(literal 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432 binary64)) (+.f64 (.f64 (.f64 (+.f64 x.im x.im) x.re) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)))
(if (<=.f64 x.re #s(literal 12199999999999999985994117980352597052069186527846256712049646065585889843187872205101459597593449180086754721723595323141567209889024420171105878974886144114688 binary64)) #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.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) (* (+ (* 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 12199999999999999985994117980352597052069186527846256712049646065585889843187872205101459597593449180086754721723595323141567209889024420171105878974886144114688 binary64)) #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.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) (* (+ (* 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 x.re #s(literal 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 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 (+ (/ ( (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)))
(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 -8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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 -8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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 (+.f64 (.f64 (-.f64 (.f64 x.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 -8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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.im x.im)) (.f64 (.f64 x.re x.re) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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.im x.im)) (.f64 x.im (.f64 x.re x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (.f64 (.f64 x.re x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ x.im x.im)) (.f64 x.im (.f64 x.re x.re)))

soundness1.5s (15.9%)

Memory

49.3MiB live, 993.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	5434
1	979	4594
2	3548	4004
0	8332	3920
0	43	257
0	68	229
1	265	201
2	1781	201
0	8479	196
0	11	54
0	20	54
1	79	42
0	536	41
0	56	262
0	85	230
1	338	200
2	2245	197
0	9311	192
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891
0	259	4989
1	869	4284
2	3078	3874
3	7768	3874
0	8332	3799
0	61	375
0	96	357
1	392	253
2	3349	242
0	9136	238

Stop Event

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

Compiler

Compiled 798 to 358 computations (55.1% saved)

preprocess195.0ms (2.1%)

Memory: -18.3MiB live, 352.4MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 322 to 536 computations (59.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (13.2%)

explain237.0ms (2.6%)

preprocess392.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify275.0ms (3%)

localize98.0ms (1.1%)

series15.0ms (0.2%)

simplify226.0ms (2.4%)

rewrite122.0ms (1.3%)

eval71.0ms (0.8%)

prune11.0ms (0.1%)

simplify329.0ms (3.5%)

localize292.0ms (3.1%)

series226.0ms (2.4%)

simplify279.0ms (3%)

rewrite235.0ms (2.5%)

eval269.0ms (2.9%)

prune61.0ms (0.7%)

simplify191.0ms (2.1%)

localize121.0ms (1.3%)

series51.0ms (0.6%)

simplify153.0ms (1.6%)

rewrite528.0ms (5.7%)

eval539.0ms (5.8%)

prune333.0ms (3.6%)

simplify204.0ms (2.2%)

localize311.0ms (3.4%)

series91.0ms (1%)

simplify170.0ms (1.8%)

rewrite170.0ms (1.8%)

eval168.0ms (1.8%)

prune61.0ms (0.7%)

regimes29.0ms (0.3%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch19.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify29.0ms (0.3%)

soundness1.5s (15.9%)

preprocess195.0ms (2.1%)

end0.0ms (0%)

Profiling