Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (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 (13.3%)

Memory

10.9MiB live, 1 555.8MiB allocated

Samples

853.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 677.0ms

ival-mult: 489.0ms (72.3% of total)

ival-sub: 106.0ms (15.7% of total)

ival-add: 73.0ms (10.8% of total)

ival-true: 5.0ms (0.7% of total)

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

Bogosity

explain251.0ms (2.7%)

Memory

-11.5MiB live, 318.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	22	0
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	15	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	108
↳	`(*.f64 x.im x.im)`	overflow	54
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	104
↳	`(*.f64 x.im x.re)`	overflow	23
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	54
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	23
↳	`(*.f64 x.re x.im)`	overflow	23
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	11	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(*.f64 x.im x.im)`	overflow	54

Confusion

	Predicted +	Predicted -
+	42	0
-	0	214

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	0
-	0	0	214

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	214
1	36
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 218 to 48 computations (78% saved)

Precisions

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

ival-mult: 21.0ms (72.9% of total)

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

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

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

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

preprocess282.0ms (3%)

Memory

-2.6MiB live, 307.4MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(+.f64 (.f64 (-.f64 (.f64 x.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)

simplify175.0ms (1.9%)

Memory

24.5MiB live, 219.7MiB 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)

localize103.0ms (1.1%)

Memory

-1.6MiB live, 132.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.5156126149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	3.855437787453087	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	5.278157216592956	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

Samples

95.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 38.0ms (84.4% of total)

ival-sub: 4.0ms (8.9% of total)

ival-add: 2.0ms (4.4% of total)

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

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

series19.0ms (0.2%)

Memory

-37.9MiB live, 44.5MiB 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
4.0ms	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))
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	@	-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.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))

simplify140.0ms (1.5%)

Memory

24.9MiB live, 220.1MiB 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))

rewrite58.0ms (0.6%)

Memory

10.8MiB live, 88.5MiB 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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eval26.0ms (0.3%)

Memory: -9.5MiB live, 72.3MiB allocated
Compiler: Compiled 4 344 to 318 computations (92.7% saved)

prune13.0ms (0.1%)

Memory

-0.0MiB live, 39.2MiB 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
▶	16.5%	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	35.3%	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	93.9%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	66.4%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	49.5%	(+.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))
	87.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
▶	49.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.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)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 272 to 176 computations (35.3% saved)

simplify248.0ms (2.7%)

Memory

-3.3MiB live, 257.4MiB 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 (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (2%)

Memory

-30.9MiB live, 127.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.2226562500000004	(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	3.855437787453087	(+.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	8.183560723283295	(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
accuracy	49.926501795196934	(/.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	28.103782083946108	#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	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.855437787453087	(+.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	5.278157216592956	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	28.89680736165183	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.19140625	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	7.4754294348183485	(.f64 (.f64 x.re x.re) x.im)
accuracy	27.0735226051394	#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 x.im (+.f64 x.im x.re))
accuracy	0.140625	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.855437787453087	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

107.0ms

256×

valid

Compiler

Compiled 619 to 69 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 31.0ms (47.4% of total)

ival-mult: 17.0ms (26% of total)

ival-pow: 10.0ms (15.3% of total)

ival-sub: 4.0ms (6.1% of total)

ival-div: 2.0ms (3.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series86.0ms (0.9%)

Memory

7.5MiB live, 82.1MiB allocated

Counts

20 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x.re	@	0	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
5.0ms	x.im	@	-inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
5.0ms	x.im	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
4.0ms	x.im	@	0	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
4.0ms	x.re	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))

simplify240.0ms (2.6%)

Memory

31.7MiB live, 184.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite499.0ms (5.4%)

Memory

11.7MiB live, 303.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

20 → 830

Calls

Call 1

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

Outputs
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eval640.0ms (6.9%)

Memory: 37.5MiB live, 336.7MiB allocated
Compiler: Compiled 47 721 to 2 221 computations (95.3% saved)

prune270.0ms (2.9%)

Memory

-52.4MiB live, 115.5MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 487	13	1 500
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	1 493	15	1 508

Accuracy

100.0%

Counts

1 508 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64))))
	77.6%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)) (+.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	10.5%	(+.f64 (/.f64 (.f64 #s(approx (- (pow x.re 6) (pow x.im 6)) (pow.f64 x.re #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))
▶	93.9%	(+.f64 (.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 (.f64 (+.f64 x.re x.im) 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))
▶	93.5%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	91.6%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	71.5%	#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 (.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))))
	87.4%	#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))
	57.5%	#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))
✓	49.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	57.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
▶	56.0%	#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))
	49.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
	57.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
✓	56.1%	#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 513 to 309 computations (39.8% saved)

simplify169.0ms (1.8%)

Memory

-0.1MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64))
cost-diff	0	(.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)))
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 (/.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))))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(*.f64 x.im (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	704	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
cost-diff	-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	704	(+.f64 (.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 (.f64 (+.f64 x.re x.im) 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	6720	(/.f64 (*.f64 (+.f64 x.re x.im) x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	378
0	95	384
1	185	364
2	385	354
3	1079	296
4	4244	272
0	8015	269

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2%)

Memory

15.7MiB live, 250.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (/.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))))
accuracy	0.0703125	(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64))
accuracy	0.203125	(/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	17.32016956202568	(.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)))
accuracy	0.140625	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.15234375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	0.24094237735712132	(*.f64 x.re (+.f64 x.im x.im))
accuracy	3.855437787453087	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.15234375	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.19140625	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy	27.0735226051394	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
accuracy	0	(*.f64 (neg.f64 x.im) x.im)
accuracy	0	(neg.f64 x.im)
accuracy	0.08984375	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
accuracy	28.103782083946108	#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	0.0234375	(pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.18425751953688402	(/.f64 (*.f64 (+.f64 x.re x.im) x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))
accuracy	3.855437787453087	(+.f64 (.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 (.f64 (+.f64 x.re x.im) 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

104.0ms

256×

valid

Compiler

Compiled 657 to 97 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 36.0ms (43.8% of total)

ival-pow: 16.0ms (19.5% of total)

ival-add: 14.0ms (17% of total)

ival-div: 9.0ms (10.9% of total)

ival-sub: 5.0ms (6.1% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series48.0ms (0.5%)

Memory

9.4MiB live, 87.0MiB allocated

Counts

24 → 540

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x.im	@	0	((/ (* (+ x.re x.im) 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.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ (* (+ x.re x.im) x.im) (pow (- x.im x.re) -1))) (* (+ (* x.re 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)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (/ (* 3 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (pow (- x.im x.re) -1) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.re))
7.0ms	x.re	@	-inf	((/ (* (+ x.re x.im) 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.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ (* (+ x.re x.im) x.im) (pow (- x.im x.re) -1))) (* (+ (* x.re 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)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (/ (* 3 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (pow (- x.im x.re) -1) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.re))
4.0ms	x.im	@	inf	((/ (* (+ x.re x.im) 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.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ (* (+ x.re x.im) x.im) (pow (- x.im x.re) -1))) (* (+ (* x.re 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)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (/ (* 3 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (pow (- x.im x.re) -1) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.re))
4.0ms	x.im	@	-inf	((/ (* (+ x.re x.im) 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.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ (* (+ x.re x.im) x.im) (pow (- x.im x.re) -1))) (* (+ (* x.re 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)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (/ (* 3 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (pow (- x.im x.re) -1) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.re))
4.0ms	x.re	@	0	((/ (* (+ x.re x.im) 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.re x.im) (+ x.re x.im)) (/ (- x.re x.im) (- x.im x.re))) (/ (* (+ x.re x.im) x.im) (pow (- x.im x.re) -1))) (* (+ (* x.re 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)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (/ (* 3 x.re) x.im) (/ x.re x.im)) -1) (/ (* 3 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (pow (- x.im x.re) -1) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.re))

simplify163.0ms (1.8%)

Memory

-31.4MiB live, 207.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	5336
1	1214	4452
2	4106	3891
0	8363	3809

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 534

Calls

Call 1

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

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

rewrite161.0ms (1.7%)

Memory

22.8MiB live, 300.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	281
0	95	273
1	410	195
2	3121	192
0	8241	184

Stop Event

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

Counts

24 → 943

Calls

Call 1

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

Outputs
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eval226.0ms (2.4%)

Memory: 23.9MiB live, 466.2MiB allocated
Compiler: Compiled 38 646 to 3 034 computations (92.1% saved)

prune70.0ms (0.8%)

Memory

0.9MiB live, 202.3MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 493	10	1 503
Fresh	4	4	8
Picked	2	3	5
Done	0	2	2
Total	1 499	19	1 518

Accuracy

100.0%

Counts

1 518 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.0%	(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
▶	89.1%	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
	27.6%	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal -1 binary64))))
▶	93.4%	(+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	79.9%	(+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	93.4%	(+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (neg.f64 (+.f64 x.im x.re)) x.im)) (.f64 (-.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	93.5%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	91.3%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	87.4%	#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))
	75.0%	#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 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal -2 binary64)) #s(literal -1 binary64)) x.im) (*.f64 x.im x.im)))
▶	57.5%	#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))
	68.8%	#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 x.im (-.f64 #s(literal 3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))) (*.f64 x.re x.re)))
✓	49.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	57.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	56.0%	#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))
	57.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
	49.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
▶	57.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
✓	56.1%	#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 553 to 346 computations (37.4% saved)

simplify133.0ms (1.4%)

Memory

-12.6MiB live, 259.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(.f64 (-.f64 x.re x.im) (.f64 (*.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re)))
cost-diff	704	(+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	1408	(/.f64 (.f64 (-.f64 x.re x.im) (.f64 (*.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	576	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
cost-diff	0	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
cost-diff	0	(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
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 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
cost-diff	704	(+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	1024	(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))
cost-diff	1472	(/.f64 (-.f64 x.re x.im) (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)))
cost-diff	6144	(/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	357
0	85	378
1	188	376
2	442	318
3	1371	284
4	5008	284
0	8568	281

Stop Event

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

Calls

Call 1

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

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

localize265.0ms (2.9%)

Memory

-12.4MiB live, 264.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	0.24094237735712132	(*.f64 x.re (+.f64 x.im x.im))
accuracy	3.855437787453087	(+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy	8.941206028535435	(/.f64 (.f64 (-.f64 x.re x.im) (.f64 (*.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re))
accuracy	0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	0.01171875	(*.f64 (-.f64 x.re x.im) x.im)
accuracy	0.14291000976844204	(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
accuracy	6.955875678355939	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
accuracy	0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	0.1328125	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
accuracy	0.4362514342652827	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
accuracy	27.0735226051394	#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 #s(literal 3 binary64) x.re)
accuracy	0.1328125	(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.19140625	(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
accuracy	27.0735226051394	#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 x.im (*.f64 #s(literal 3 binary64) x.re))))
accuracy	0.1875	(/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im)
accuracy	0.24094237735712132	(*.f64 x.re (+.f64 x.im x.im))
accuracy	3.855437787453087	(+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy	12.23591786563382	(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))

Samples

225.0ms

256×

valid

Compiler

Compiled 647 to 91 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-mult: 73.0ms (35.9% of total)

ival-div: 48.0ms (23.6% of total)

ival-add: 41.0ms (20.2% of total)

ival-sub: 28.0ms (13.8% of total)

ival-pow: 12.0ms (5.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series53.0ms (0.6%)

Memory

1.3MiB live, 112.4MiB allocated

Counts

24 → 528

Calls

Call 1

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

Outputs
#s(alt (/ -1 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (patch (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))) x.im) (taylor 0 x.im) (#s(alt (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (patch (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x.im 2) (- (* -1 (/ (pow x.im 2) (pow x.re 6))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) x.im) (taylor 0 x.im) (#s(alt (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (patch (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) x.im) (taylor 0 x.im) (#s(alt (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (patch (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) 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.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (patch (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (patch (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (patch (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))) (taylor 0 x.im) (#s(alt (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (patch (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)) (patch (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)) x.im) (taylor 0 x.im) (#s(alt (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)) (patch (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re)) x.im) (taylor 0 x.im) (#s(alt (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)) (patch (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) x.im) (taylor 0 x.im) (#s(alt (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re)) (patch (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.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.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (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 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (patch #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (patch #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (patch #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (patch #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) (patch (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) (patch (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) (patch (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) (patch (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) (patch (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) (patch (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) (patch (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) #<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 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt (+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.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 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.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 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.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 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (patch (+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (pow x.re 3))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (patch (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (+ x.im (/ (* x.im (+ x.im (* -2 x.im))) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (patch (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)) x.re))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (patch (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))) (/ (pow x.im 4) x.re)) x.re))) x.re))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (patch (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt x.re (taylor -inf x.re) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (/ x.im x.re) 1))) (taylor -inf x.re) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (/ x.im x.re) 1))) (taylor -inf x.re) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (- (/ x.im x.re) 1))) (taylor -inf x.re) (#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x.im x.re)) (taylor -inf x.re) (#s(alt (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (patch (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 x.im) (/ 1 x.re)) x.re)) (taylor -inf x.re) (#s(alt (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (patch (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x.im x.re)) 1) x.re)) (/ 1 x.im)) x.re)) (taylor -inf x.re) (#s(alt (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (patch (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) (* -1 x.im)) x.re)) 1) x.re)) (/ 1 x.im)) x.re)) (taylor -inf x.re) (#s(alt (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (patch (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) #<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>) () ())) ())
#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 (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x.im	@	inf	((/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re))) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re)) (+ (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im 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.re (* x.im (* 3 x.re))) (* x.im (* 3 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)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (* x.re x.re) (* 2 x.im)) (* (* (- x.re x.im) x.im) (+ x.im x.re))) (* x.re x.re) (* 2 x.im) (* (* (- x.re x.im) x.im) (+ x.im x.re)) (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- x.im x.re)) (+ (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- 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.re))) (- x.re x.im) (* x.re (+ x.im x.im)) (/ (pow (- x.im x.re) -1) x.im) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re))
5.0ms	x.re	@	inf	((/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re))) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re)) (+ (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im 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.re (* x.im (* 3 x.re))) (* x.im (* 3 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)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (* x.re x.re) (* 2 x.im)) (* (* (- x.re x.im) x.im) (+ x.im x.re))) (* x.re x.re) (* 2 x.im) (* (* (- x.re x.im) x.im) (+ x.im x.re)) (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- x.im x.re)) (+ (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- 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.re))) (- x.re x.im) (* x.re (+ x.im x.im)) (/ (pow (- x.im x.re) -1) x.im) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re))
4.0ms	x.im	@	0	((/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re))) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re)) (+ (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im 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.re (* x.im (* 3 x.re))) (* x.im (* 3 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)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (* x.re x.re) (* 2 x.im)) (* (* (- x.re x.im) x.im) (+ x.im x.re))) (* x.re x.re) (* 2 x.im) (* (* (- x.re x.im) x.im) (+ x.im x.re)) (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- x.im x.re)) (+ (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- 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.re))) (- x.re x.im) (* x.re (+ x.im x.im)) (/ (pow (- x.im x.re) -1) x.im) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re))
4.0ms	x.im	@	-inf	((/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re))) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re)) (+ (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im 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.re (* x.im (* 3 x.re))) (* x.im (* 3 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)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (* x.re x.re) (* 2 x.im)) (* (* (- x.re x.im) x.im) (+ x.im x.re))) (* x.re x.re) (* 2 x.im) (* (* (- x.re x.im) x.im) (+ x.im x.re)) (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- x.im x.re)) (+ (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- 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.re))) (- x.re x.im) (* x.re (+ x.im x.im)) (/ (pow (- x.im x.re) -1) x.im) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re))
4.0ms	x.re	@	0	((/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re))) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re)) (+ (/ (- x.re x.im) (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im 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.re (* x.im (* 3 x.re))) (* x.im (* 3 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)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (* x.re x.re) (* 2 x.im)) (* (* (- x.re x.im) x.im) (+ x.im x.re))) (* x.re x.re) (* 2 x.im) (* (* (- x.re x.im) x.im) (+ x.im x.re)) (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- x.im x.re)) (+ (/ (* (- x.re x.im) (* (* x.im (- x.im x.re)) (+ x.im x.re))) (- 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.re))) (- x.re x.im) (* x.re (+ x.im x.im)) (/ (pow (- x.im x.re) -1) x.im) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re))

simplify245.0ms (2.6%)

Memory

13.3MiB live, 261.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	608	5831
1	1962	4836
2	7397	4709
0	8174	4598

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

Inputs
(/ -1 (* x.im (pow x.re 2)))
(/ (- (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))) x.im)
(/ (- (* (pow x.im 2) (- (* -1 (/ (pow x.im 2) (pow x.re 6))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) x.im)
(/ (- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))) x.im)
(* 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 x.re))
(/ (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)) x.im)
(/ (+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re)) x.im)
(/ (+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* x.im (+ (* 2 (pow x.re 2)) (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)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* 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))))
(* -1 (* x.im (pow x.re 3)))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.re) (* 2 x.re))))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))))))
x.re
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(/ -1 (* x.im x.re))
(/ (- (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)) x.im)
(/ (- (* x.im (- (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) x.im)
(/ (- (* x.im (- (* x.im (- (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)) x.im)
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ 1 (pow x.im 3))
(/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2)))) (+ (* -1 (/ x.re x.im)) (/ x.re x.im))) (pow x.im 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) (* (pow x.re 2) (+ x.re (* -1 x.re)))) (pow x.im 3)))) (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2))) (/ x.re x.im))))) (pow x.im 3))
(* -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 (pow x.im 2))
(/ (+ 1 (* -1 (/ x.re x.im))) (pow x.im 2))
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) (pow x.im 2))
(/ (- (+ 1 (* -1 (/ (pow x.re 3) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) (pow x.im 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) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -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 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)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 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 (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 (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 4))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* -1 x.im)
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* 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))
(/ (+ 1 (/ x.re x.im)) (pow x.im 2))
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ x.re x.im))) (pow x.im 2))
(/ (- (+ 1 (/ (pow x.re 3) (pow x.im 3))) (+ (* -1 (/ x.re x.im)) (* -1 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ 1 (pow x.im 3))
(* -1 (/ (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1) (pow x.im 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (pow x.re 2) x.im) (/ (pow (+ x.re (* -1 x.re)) 2) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.re (* -1 x.re)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im) (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) x.im)) (+ x.re (* -1 x.re))) x.im)) 1) (pow x.im 3)))
(* -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 (pow x.im 2))
(/ (+ 1 (* -1 (/ x.re x.im))) (pow x.im 2))
(/ (+ 1 (* -1 (/ (+ x.re (* -1 (/ (pow x.re 2) x.im))) x.im))) (pow x.im 2))
(/ (+ 1 (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im))) (pow x.im 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 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.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 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)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (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 (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 (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 4))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -2 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)))) x.im)) 1))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* 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))
(/ (+ 1 (/ x.re x.im)) (pow x.im 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.re 2) x.im)) x.re) x.im))) (pow x.im 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (* -1 (pow x.re 2))) x.im)) x.re) x.im))) (pow x.im 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ 1 (pow x.im 3))
(+ (/ 1 (pow x.im 3)) (/ (pow x.re 2) (pow x.im 5)))
(+ (* (pow x.re 2) (+ (/ 1 (pow x.im 5)) (/ (pow x.re 2) (pow x.im 7)))) (/ 1 (pow x.im 3)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (/ 1 (pow x.im 7)) (/ (pow x.re 2) (pow x.im 9)))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))
(* -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))
(+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))
(+ (* x.re (- (/ x.re (pow x.im 4)) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))
(+ (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 5))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 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 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))))))
(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)) (* 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 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 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 4))
(+ (* -1 (pow x.im 4)) (* x.im (* x.re (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (* x.re (+ (* -1 x.im) (* 2 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (* x.re (+ (* -1 (* x.im x.re)) (* x.im (+ (* -1 x.im) (* 2 x.im))))))))
(* -1 x.im)
(- x.re x.im)
(- x.re x.im)
(- x.re x.im)
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(/ 1 (pow x.im 2))
(+ (/ 1 (pow x.im 2)) (/ x.re (pow x.im 3)))
(+ (* x.re (+ (/ 1 (pow x.im 3)) (/ x.re (pow x.im 4)))) (/ 1 (pow x.im 2)))
(+ (* x.re (+ (* x.re (+ (/ 1 (pow x.im 4)) (/ x.re (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ -1 (* x.im (pow x.re 2)))
(/ (- (* -1 (/ x.im (pow x.re 2))) (/ 1 x.im)) (pow x.re 2))
(/ (- (* -1 (/ (* x.im (+ x.im (* -1 x.im))) (pow x.re 3))) (+ (/ 1 x.im) (/ x.im (pow x.re 2)))) (pow x.re 2))
(/ (- (* -1 (/ (+ (* x.im (pow (+ x.im (* -1 x.im)) 2)) (pow x.im 3)) (pow x.re 4))) (+ (/ 1 x.im) (+ (/ x.im (pow x.re 2)) (/ (* x.im (+ x.im (* -1 x.im))) (pow x.re 3))))) (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 (* x.im x.re))
(/ (- (/ 1 x.im) (/ 1 x.re)) x.re)
(/ (- (+ (/ 1 x.im) (/ x.im (pow x.re 2))) (/ 1 x.re)) x.re)
(/ (- (+ (* -1 (/ (pow x.im 2) (pow x.re 3))) (/ 1 x.im)) (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -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) (+ 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)
(pow x.re 2)
(pow x.re 2)
(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))))
(* 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))))
(* (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)))))
(* -1 (* x.im (pow x.re 3)))
(* (pow x.re 3) (+ (* -1 x.im) (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)))))
(* (pow x.re 3) (+ (* -1 x.im) (+ (* -1 (/ (pow x.im 4) (pow x.re 3))) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(/ -1 (* x.im x.re))
(* -1 (/ (+ (/ 1 x.im) (/ 1 x.re)) x.re))
(/ (- (* -1 (/ x.im (pow x.re 2))) (+ (/ 1 x.im) (/ 1 x.re))) x.re)
(/ (- (* -1 (/ (pow x.im 2) (pow x.re 3))) (+ (/ 1 x.im) (+ (/ 1 x.re) (/ x.im (pow x.re 2))))) 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))))
(* 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 (* x.im (pow x.re 2)))
(/ (- (* -1 (/ x.im (pow x.re 2))) (/ 1 x.im)) (pow x.re 2))
(/ (- (/ (* x.im (+ x.im (* -1 x.im))) (pow x.re 3)) (+ (/ 1 x.im) (/ x.im (pow x.re 2)))) (pow x.re 2))
(/ (- (* -1 (/ (- (+ (/ (* x.im (pow (+ x.im (* -1 x.im)) 2)) x.re) (/ (pow x.im 3) x.re)) (* x.im (+ x.im (* -1 x.im)))) (pow x.re 3))) (+ (/ 1 x.im) (/ x.im (pow x.re 2)))) (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 (* x.im x.re))
(* -1 (/ (- (/ 1 x.re) (/ 1 x.im)) x.re))
(* -1 (/ (- (* -1 (/ (- (/ x.im x.re) 1) x.re)) (/ 1 x.im)) x.re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) x.im) x.re)) 1) x.re)) (/ 1 x.im)) x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -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) (+ 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)
(pow x.re 2)
(pow x.re 2)
(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))))
(* 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))))
(* (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))))
(* -1 (* x.im (pow x.re 3)))
(* -1 (* (pow x.re 3) (+ x.im (/ (* x.im (+ x.im (* -2 x.im))) x.re))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)) x.re)))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))) (/ (pow x.im 4) x.re)) x.re))) x.re)))))
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(/ -1 (* x.im x.re))
(* -1 (/ (+ (/ 1 x.im) (/ 1 x.re)) x.re))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ x.im x.re)) 1) x.re)) (/ 1 x.im)) x.re))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) (* -1 x.im)) x.re)) 1) x.re)) (/ 1 x.im)) x.re))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))

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

rewrite290.0ms (3.1%)

Memory

-7.0MiB live, 341.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	285
0	85	242
1	399	218
2	3352	200
0	8360	195

Stop Event

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

Counts

24 → 1 223

Calls

Call 1

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

Outputs
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eval371.0ms (4%)

Memory: 34.1MiB live, 618.8MiB allocated
Compiler: Compiled 56 411 to 4 026 computations (92.9% saved)

prune140.0ms (1.5%)

Memory

-19.3MiB live, 212.8MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	2 140	12	2 152
Fresh	6	3	9
Picked	3	2	5
Done	1	4	5
Total	2 150	21	2 171

Accuracy

100.0%

Counts

2 171 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.0%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
	89.1%	(fma.f64 (.f64 x.re x.re) (+.f64 x.im x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
	80.8%	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (neg.f64 (-.f64 x.re x.im)) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.im x.re))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))))
	54.4%	(+.f64 (/.f64 (-.f64 (.f64 x.re (pow.f64 (.f64 (+.f64 x.re x.im) x.im) #s(literal -1 binary64))) (.f64 (pow.f64 (.f64 (+.f64 x.re x.im) x.im) #s(literal -1 binary64)) x.im)) (pow.f64 (pow.f64 (.f64 (+.f64 x.re x.im) x.im) #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	57.0%	(+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 #s(approx (/ (pow (- x.im x.re) -1) x.im) (/.f64 #s(literal -1 binary64) (.f64 x.re x.im))) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	93.4%	(+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	65.9%	(+.f64 (/.f64 (-.f64 x.re x.im) #s(approx (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im) x.im))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	67.2%	(+.f64 (/.f64 (-.f64 x.re x.im) #s(approx (* (/ (/ (pow (- x.im x.re) -1) x.im) (+ x.im x.re)) (- x.im x.re)) (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	51.0%	(+.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (*.f64 x.im (-.f64 x.im x.re)) (+.f64 x.im x.re))) (-.f64 x.im x.re)) (+.f64 x.im x.im))
	91.3%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	89.4%	(.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) (*.f64 x.re x.re))))
	87.4%	#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))
✓	57.5%	#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))
	57.5%	#s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
	68.8%	#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 x.im (-.f64 #s(literal 3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))) (*.f64 x.re x.re)))
	49.5%	#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 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
✓	49.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	57.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	56.0%	#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))
✓	57.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
✓	56.1%	#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 1 146 to 411 computations (64.1% saved)

regimes51.0ms (0.6%)

Memory

-23.2MiB live, 60.0MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

26.0ms	x.im
12.0ms	x.re
11.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
97.4%	2	`x.re`
99.8%	2	`x.im`
99.7%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

#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 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))

Calls

1 calls:

11.0ms

x.im

Results

Accuracy	Segments	Branch
99.8%	2	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes29.0ms (0.3%)

Memory

-22.8MiB live, 52.8MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	x.im
12.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.7%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
99.7%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes23.0ms (0.2%)

Memory

14.4MiB live, 52.3MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

12.0ms	x.im
9.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.3%	2	`x.im`
99.7%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes35.0ms (0.4%)

Memory

-8.4MiB live, 36.9MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x.im
6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.3%	2	`x.im`
99.3%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes28.0ms (0.3%)

Memory

-14.7MiB live, 23.7MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`x.im`
99.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
99.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes9.0ms (0.1%)

Memory

23.5MiB live, 23.7MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

4.0ms	x.re
4.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
84.2%	2	`x.re`
98.9%	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))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes74.0ms (0.8%)

Memory

-25.4MiB live, 12.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

69.0ms	(+.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))
4.0ms	x.im

Results

Accuracy	Segments	Branch
82.7%	2	`x.im`
96.9%	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))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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))

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
56.0%	1	`x.im`
56.0%	1	`x.re`
56.0%	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)

bsearch168.0ms (1.8%)

Memory

-13.3MiB live, 22.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.97070626572309e-52	2.5930468163818965e-51

Samples

6.0ms

80×

valid

Compiler

Compiled 232 to 156 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (76.7% of total)

ival-add: 1.0ms (25.6% 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

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.97070626572309e-52	2.5930468163818965e-51

Compiler

Compiled 182 to 131 computations (28% saved)

bsearch6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	12212527.284586236	677288997299592.6

Samples

3.0ms

48×

valid

Compiler

Compiled 118 to 88 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (84.7% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.846050133251844e+290	+inf

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.139875810568076e+255	1.0277645205126243e+256

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.912212672100759e-305	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.912212672100759e-305	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify108.0ms (1.2%)

Memory

-17.5MiB live, 67.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	796
1	144	796
2	163	796
3	179	796
4	186	796
5	188	796

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 4296741500077133/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im 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 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.im #s(literal 4296741500077133/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #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 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.im #s(literal 10000000000000 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #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 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal -2 binary64)) #s(literal -1 binary64)) x.im) (*.f64 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)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) (.f64 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 +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 x.im (.f64 #s(literal 3 binary64) x.re)))) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
#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
(if (<=.f64 x.im #s(literal 4296741500077133/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.f64 x.im x.re)) (-.f64 x.im x.re))) (.f64 (.f64 x.re (+.f64 x.im 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 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.im #s(literal 4296741500077133/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 (.f64 (.f64 (+.f64 x.im x.im) x.re) x.re) (/.f64 (-.f64 x.re x.im) (.f64 (/.f64 (/.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) x.im) (+.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 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)))))
(if (<=.f64 x.im #s(literal 4296741500077133/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #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 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.im #s(literal 4296741500077133/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (.f64 (.f64 (+.f64 x.im 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 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)))))
(if (<=.f64 x.im #s(literal 10000000000000 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) #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 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal -2 binary64)) #s(literal -1 binary64)) x.im) (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 10000000000000 binary64)) (+.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (.f64 (.f64 (+.f64 x.im x.im) x.re) x.re)) #s(approx (+ (/ (* (- (pow x.re 6) (pow x.im 6)) x.im) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) (*.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal -2 binary64)) #s(literal -1 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (.f64 (.f64 (+.f64 x.im x.im) x.re) x.re)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) (.f64 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 +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 x.im (.f64 #s(literal 3 binary64) x.re)))) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) (.f64 x.re x.re))) x.im) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal 10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
#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))

soundness1.5s (16.5%)

Memory

21.2MiB live, 569.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	5311
1	944	4483
2	3468	3893
0	8160	3809
0	43	254
0	68	226
1	267	198
2	1787	198
0	8453	193
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891
0	61	281
0	95	273
1	410	195
2	3121	192
0	8241	184
0	11	54
0	20	54
1	79	42
0	536	41
0	56	285
0	85	242
1	399	218
2	3352	200
0	8360	195

Stop Event

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

Compiler

Compiled 1 417 to 566 computations (60.1% saved)

preprocess188.0ms (2%)

Memory: 14.6MiB live, 213.6MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 388 to 366 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (13.3%)

explain251.0ms (2.7%)

preprocess282.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify175.0ms (1.9%)

localize103.0ms (1.1%)

series19.0ms (0.2%)

simplify140.0ms (1.5%)

rewrite58.0ms (0.6%)

eval26.0ms (0.3%)

prune13.0ms (0.1%)

simplify248.0ms (2.7%)

localize182.0ms (2%)

series86.0ms (0.9%)

simplify240.0ms (2.6%)

rewrite499.0ms (5.4%)

eval640.0ms (6.9%)

prune270.0ms (2.9%)

simplify169.0ms (1.8%)

localize183.0ms (2%)

series48.0ms (0.5%)

simplify163.0ms (1.8%)

rewrite161.0ms (1.7%)

eval226.0ms (2.4%)

prune70.0ms (0.8%)

simplify133.0ms (1.4%)

localize265.0ms (2.9%)

series53.0ms (0.6%)

simplify245.0ms (2.6%)

rewrite290.0ms (3.1%)

eval371.0ms (4%)

prune140.0ms (1.5%)

regimes51.0ms (0.6%)

regimes12.0ms (0.1%)

regimes29.0ms (0.3%)

regimes23.0ms (0.2%)

regimes35.0ms (0.4%)

regimes28.0ms (0.3%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes74.0ms (0.8%)

regimes4.0ms (0%)

bsearch168.0ms (1.8%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify108.0ms (1.2%)

soundness1.5s (16.5%)

preprocess188.0ms (2%)

end0.0ms (0%)

Profiling