Metrics for powComplex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze386.0ms (1.2%)

Memory

1.8MiB live, 461.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	8
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	9
34.4%	34.3%	65.5%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	12

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample3.2s (9.6%)

Memory

74.6MiB live, 3 294.6MiB allocated

Samples

1.2s	2 907×	1	valid
1.0s	5 349×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 372.0ms (22% of total)

ival-hypot: 264.0ms (15.6% of total)

ival-cos: 223.0ms (13.2% of total)

ival-log: 219.0ms (12.9% of total)

ival-atan2: 200.0ms (11.8% of total)

ival-exp: 187.0ms (11% of total)

adjust: 105.0ms (6.2% of total)

ival-add: 61.0ms (3.6% of total)

ival-sub: 50.0ms (3% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain433.0ms (1.3%)

Memory

9.3MiB live, 694.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
186	-	-	`(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))`
132	-	-	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`
7	-	-	`(*.f64 (atan2.f64 x.im x.re) y.re)`
4	-	-	`(*.f64 (atan2.f64 x.im x.re) y.im)`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`
0	-	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))`
0	-	-	`(atan2.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))`
0	-	-	`x.re`
0	-	-	`x.im`
0	-	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)`
0	-	-	`(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))`
0	-	-	`y.re`
0	-	-	`y.im`
0	-	-	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
0	-	-	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))`	sensitivity	185	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	oflow-rescue	118	0
↳	`(*.f64 x.re x.re)`	overflow	56
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	118
↳	`(*.f64 x.im x.im)`	overflow	76
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	uflow-rescue	3	0
↳	`(*.f64 x.re x.re)`	underflow	66
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	underflow	14
↳	`(*.f64 x.im x.im)`	underflow	61
`*.f64`	`(*.f64 (atan2.f64 x.im x.re) y.re)`	*nu**	2	0
`cos.f64`	`(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))`	oflow-rescue	1	0
↳	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))`	overflow	1
↳	`(*.f64 x.re x.re)`	overflow	56
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	118
↳	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`	overflow	1
↳	`(*.f64 x.im x.im)`	overflow	76
`*.f64`	`(*.f64 (atan2.f64 x.im x.re) y.im)`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	153	2
-	72	29

Precision

0.68

Recall

0.9870967741935484

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	153	0	2
-	72	1	28

Precision?

0.6769911504424779

Recall?

0.9870967741935484

Freqs

test

number	freq
0	31
1	140
2	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

171.0ms	366×	1	valid
24.0ms	146×	0	valid

Compiler

Compiled 397 to 61 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 39.0ms (24.6% of total)

ival-add: 22.0ms (13.9% of total)

ival-log: 19.0ms (12% of total)

adjust: 18.0ms (11.3% of total)

ival-hypot: 18.0ms (11.3% of total)

ival-cos: 17.0ms (10.7% of total)

ival-atan2: 15.0ms (9.4% of total)

ival-sub: 6.0ms (3.8% of total)

ival-exp: 5.0ms (3.1% of total)

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

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

preprocess262.0ms (0.8%)

Memory

-14.3MiB live, 70.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 060×	`exp-prod`
1 008×	`unsub-neg`
754×	`exp-sum`
704×	`distribute-lft-in`
648×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	536
1	338	518
2	690	518
3	1317	516
4	2684	516
5	4446	516
6	6512	516
7	7187	516
8	7589	516
9	7694	516
10	7702	516
11	7742	516
12	7952	516
0	19	37
0	34	37
1	49	36
2	78	36
3	108	36
4	160	36
5	218	36
6	312	36
7	449	36
8	604	36
9	736	36
10	802	36
11	815	36
0	815	25

Stop Event

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

Calls

Call 1

Inputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) y.re (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (cos.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

Samples

1.0ms	1×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 157 to 58 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

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

ival-atan2: 0.0ms (0% of total)

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

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

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

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.8%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Accuracy

Program

▶

39.8%

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 41 to 19 computations (53.7% saved)

simplify929.0ms (2.8%)

Memory

9.6MiB live, 1 432.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
cost-diff	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
cost-diff	128	(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
cost-diff	128	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Rules

356×	`lower-fma.f64`
356×	`lower-fma.f32`
328×	`lower-*.f32`
314×	`lower-*.f64`
156×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	176
0	34	176
1	49	174
2	78	174
3	108	174
4	160	174
5	218	174
6	312	174
7	449	174
8	604	174
9	736	174
10	802	174
11	815	174
0	815	120

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 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
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.re (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (cos.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.re (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.re (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (sqrt.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(sqrt.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
(.f64 (log.f64 (sqrt.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))

Samples

303.0ms	4 920×	0	valid
52.0ms	196×	1	valid
25.0ms	96×	0	exit
6.0ms	13×	2	valid

Compiler

Compiled 66 671 to 44 575 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-mult: 56.0ms (23.4% of total)

ival-hypot: 55.0ms (23% of total)

ival-log: 40.0ms (16.7% of total)

ival-atan2: 25.0ms (10.4% of total)

ival-add: 16.0ms (6.7% of total)

ival-cos: 14.0ms (5.9% of total)

ival-exp: 9.0ms (3.8% of total)

adjust: 6.0ms (2.5% of total)

ival-true: 5.0ms (2.1% of total)

ival-pow: 4.0ms (1.7% of total)

ival-neg: 4.0ms (1.7% of total)

ival-div: 2.0ms (0.8% of total)

ival-assert: 2.0ms (0.8% of total)

ival-sub: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

localize135.0ms (0.4%)

Memory

8.3MiB live, 166.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.2150840170797277	(*.f64 (atan2.f64 x.im x.re) y.im)
accuracy	1.8181359965473924	(*.f64 (atan2.f64 x.im x.re) y.re)
accuracy	30.571232071050026	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	41.282696273011325	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Samples

74.0ms	183×	1	valid
13.0ms	73×	0	valid

Compiler

Compiled 178 to 21 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 17.0ms (24.5% of total)

ival-hypot: 14.0ms (20.2% of total)

ival-log: 9.0ms (13% of total)

ival-cos: 8.0ms (11.6% of total)

adjust: 7.0ms (10.1% of total)

ival-atan2: 5.0ms (7.2% of total)

ival-add: 4.0ms (5.8% of total)

ival-exp: 2.0ms (2.9% of total)

ival-sub: 2.0ms (2.9% of total)

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

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

series94.0ms (0.3%)

Memory

-9.6MiB live, 143.9MiB allocated

Counts

8 → 312

Calls

Call 1

Inputs
#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 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (patch (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (patch (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())

Outputs
#s(alt (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.im 2) (pow x.re 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.im 2) (pow x.re 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.im 2) (pow x.re 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) (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 (/ (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 (/ (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 (/ (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) (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 (/ (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 (/ (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 (/ (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) (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 (+ (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 (+ (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 (+ (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 (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) (+ 1 (/ (pow x.re 2) (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) (+ 1 (/ (pow x.re 2) (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) (+ 1 (/ (pow x.re 2) (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) (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) (+ 1 (/ (pow x.re 2) (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) (+ 1 (/ (pow x.re 2) (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) (+ 1 (/ (pow x.re 2) (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 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* y.im (log x.im)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.im) (pow x.im 4))) (* 1/2 (/ y.im (pow x.im 2))))))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* y.im (log x.im)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.re 2) (+ (* 1/2 (/ y.im (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.im (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.im) (pow x.im 6))))))))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re))))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re)))))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re))))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ -1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.im) (pow x.re 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.re (atan2 x.im x.re)))))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* y.im (log x.re)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2))))))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* y.im (log x.re)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6))))))))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))) (taylor inf x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re)))) (taylor inf x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re))))) (taylor inf x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ 1 x.im)))) (+ (* -1/4 (/ (* (pow x.re 4) y.im) (pow x.im 4))) (+ (* 1/720 (/ (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6)))) (pow x.im 6))) (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.re (atan2 x.im x.re)))))) (taylor inf x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) (patch (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) #<representation binary64>) () ())) ())
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#s(alt (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))) (pow x.im 4))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))) (* (pow x.re 2) (+ (* -1/2 (/ (* y.im (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (/ (pow y.re 2) (pow x.im 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.im 6))) (* 1/6 (/ y.re (pow x.im 6))))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (- (* 1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6))))))))))))))))))) (taylor 0 x.re) (#s(alt (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (patch (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) #<representation binary64>) () ())) ())
#s(alt (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))) (taylor inf x.re) (#s(alt (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (patch (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ (* (pow x.im 2) (* y.im (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (* y.re (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))) (pow x.re 2))) (+ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))) (+ (/ (* (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2)))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (- (* -1/8 (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* -1/4 (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4))))))) (taylor inf x.re) (#s(alt (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (patch (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) #<representation binary64>) () ())) ())
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#s(alt (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (taylor 0 x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
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#s(alt (+ (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2)))))) (taylor 0 x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (- (* (pow x.re 2) (- (+ (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* (pow x.re 2) (- (* 1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2)))))) (taylor 0 x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (taylor inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* -1/2 (/ (* (pow x.im 2) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2)))) (taylor inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4)))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))))) (taylor inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4))) (* 1/8 (/ (* (pow x.im 6) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 6))))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (* (pow x.im 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))))) (pow x.re 6))))) (taylor inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (taylor -inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (* -1/2 (/ (* (pow x.im 2) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2)))) (taylor -inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4)))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4))) (* 1/8 (/ (* (pow x.im 6) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 6))))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (sin (+ (* -1 (* y.im (log (/ -1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (* (pow x.im 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))))) (pow x.re 6))))) (taylor -inf x.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (taylor 0 x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* -1/2 (/ (* (pow x.im 2) (* y.im (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))))) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))))) (* 1/2 (/ (* y.im (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 2)))))) (taylor 0 x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (pow x.im 2) (- (* (pow x.im 2) (- (+ (* -1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))) (* (pow x.im 2) (- (* 1/8 (/ (* (pow y.im 2) (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 6))) (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (/ (pow y.im 3) (pow x.re 6))) (* 1/6 (/ y.im (pow x.re 6)))))))) (* -1/4 (/ (* y.im (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))))) (* 1/2 (/ (* y.im (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 2)))))) (taylor 0 x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (taylor inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2)))) (taylor inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))) (taylor inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (* 1/8 (/ (* (pow x.re 6) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 6))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (* (pow x.re 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))))) (pow x.im 6))))) (taylor inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (taylor -inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))) (taylor -inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (- (+ (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (* 1/8 (/ (* (pow x.re 6) (* (pow y.im 2) (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 6))))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.im (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/48 (* (pow x.re 6) (pow y.im 3))) (* 1/720 (* y.im (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))))) (pow x.im 6))))) (taylor -inf x.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (* y.re (atan2 x.im x.re))) (taylor 0 y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* y.re (atan2 x.im x.re))) (* -1 (* y.im (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (sin (* y.re (atan2 x.im x.re))))))) (taylor 0 y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* y.re (atan2 x.im x.re))) (* y.im (- (* -1/2 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (sin (* y.re (atan2 x.im x.re))))))) (taylor 0 y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* y.re (atan2 x.im x.re))) (* y.im (- (* y.im (+ (* -1/2 (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))) (* 1/6 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3) (sin (* y.re (atan2 x.im x.re)))))))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (sin (* y.re (atan2 x.im x.re))))))) (taylor 0 y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor -inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor -inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor -inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor -inf y.im) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (taylor 0 y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* -1 (* y.re (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))) (taylor 0 y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (- (* -1/2 (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2)))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))) (taylor 0 y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (- (* y.re (+ (* -1/2 (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* 1/6 (* y.re (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3)))))) (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))) (taylor 0 y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor inf y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor inf y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor inf y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
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#s(alt (cos (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))) (taylor -inf y.re) (#s(alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (patch (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) #<representation binary64>) () ())) ())
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#s(alt x.im (taylor 0 x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ x.im (* 1/2 (/ (pow x.re 2) x.im))) (taylor 0 x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im))))) (taylor 0 x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ x.im (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/16 (/ (pow x.re 2) (pow x.im 5))) (* 1/8 (/ 1 (pow x.im 3))))) (* 1/2 (/ 1 x.im))))) (taylor 0 x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt x.re (taylor inf x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))) (taylor inf x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor inf x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 x.re) (taylor -inf x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))) (taylor -inf x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/16 (/ (pow x.im 6) (pow x.re 6))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))) (taylor -inf x.re) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ x.re (* 1/2 (/ (pow x.im 2) x.re))) (taylor 0 x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re))))) (taylor 0 x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (+ x.re (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/16 (/ (pow x.im 2) (pow x.re 5))) (* 1/8 (/ 1 (pow x.re 3))))) (* 1/2 (/ 1 x.re))))) (taylor 0 x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt x.im (taylor inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))) (taylor inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))) (taylor inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))) (taylor inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 x.im) (taylor -inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))) (taylor -inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (+ (* 1/16 (/ (pow x.re 6) (pow x.im 6))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))) (taylor -inf x.im) (#s(alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (patch (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor 0 y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.re (atan2 x.im x.re)) (taylor -inf y.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.re) (patch (.f64 (atan2.f64 x.im x.re) y.re) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor 0 y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())
#s(alt (* y.im (atan2 x.im x.re)) (taylor -inf y.im) (#s(alt (.f64 (atan2.f64 x.im x.re) y.im) (patch (.f64 (atan2.f64 x.im x.re) y.im) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
12.0ms	y.im	@	0	(+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
10.0ms	x.im	@	inf	(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
5.0ms	x.re	@	inf	(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
5.0ms	x.re	@	inf	(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
4.0ms	y.im	@	0	(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))

simplify27.9s (83.7%)

Memory

429.6MiB live, 45 130.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 092×	`lower-fma.f64`
9 092×	`lower-fma.f32`
7 462×	`lower-+.f64`
7 462×	`lower-+.f32`
6 266×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1096	13694
1	3534	13086
0	8014	11600

Stop Event

1×	iter limit
1×	node limit

Samples

6.4s	58 591×	0	valid
3.4s	6 978×	1	valid
3.1s	12 387×	0	invalid
1.5s	1 175×	1	exit
456.0ms	751×	0	exit
2.0ms	1×	2	valid

Compiler

Compiled 3 611 052 to 1 570 959 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.8s

ival-mult: 3.8s (31.8% of total)

ival-log: 1.1s (9.2% of total)

ival-add: 1.1s (9% of total)

ival-pow: 979.0ms (8.3% of total)

ival-atan2: 912.0ms (7.7% of total)

ival-cos: 730.0ms (6.2% of total)

ival-hypot: 715.0ms (6% of total)

ival-div: 660.0ms (5.6% of total)

ival-sin: 518.0ms (4.4% of total)

adjust: 369.0ms (3.1% of total)

ival-neg: 249.0ms (2.1% of total)

const: 237.0ms (2% of total)

ival-exp: 195.0ms (1.6% of total)

ival-pow2: 133.0ms (1.1% of total)

ival-true: 81.0ms (0.7% of total)

ival-sub: 56.0ms (0.5% of total)

exact: 54.0ms (0.5% of total)

ival-assert: 32.0ms (0.3% of total)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	176
0	34	176
1	49	174
2	78	174
3	108	174
4	160	174
5	218	174
6	312	174
7	449	174
8	604	174
9	736	174
10	802	174
11	815	174
0	815	120

Iter	Nodes	Cost
0	19	176
0	34	176
1	49	174
2	78	174
3	108	174
4	160	174
5	218	174
6	312	174
7	449	174
8	604	174
9	736	174
10	802	174
11	815	174
0	815	120

start0.0ms (0%)

analyze386.0ms (1.2%)

sample3.2s (9.6%)

explain433.0ms (1.3%)

preprocess262.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify929.0ms (2.8%)

localize135.0ms (0.4%)

series94.0ms (0.3%)

simplify27.9s (83.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	176
0	34	176
1	49	174
2	78	174
3	108	174
4	160	174
5	218	174
6	312	174
7	449	174
8	604	174
9	736	174
10	802	174
11	815	174
0	815	120