Metrics for powComplex, imaginary part

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze618.0ms (4.5%)

Memory

64.6MiB live, 465.6MiB allocated; 634ms collecting garbage

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)

sample2.7s (20%)

Memory

-18.7MiB live, 2 605.7MiB allocated; 612ms collecting garbage

Samples

1.2s	2 985×	1	valid
694.0ms	5 215×	0	valid
80.0ms	56×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 368.0ms (22.4% of total)

ival-hypot: 281.0ms (17.1% of total)

ival-sin: 248.0ms (15.1% of total)

ival-log: 229.0ms (13.9% of total)

adjust: 167.0ms (10.2% of total)

ival-atan2: 124.0ms (7.5% of total)

ival-exp: 85.0ms (5.2% of total)

ival-add: 81.0ms (4.9% of total)

ival-sub: 51.0ms (3.1% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain529.0ms (3.9%)

Memory

36.4MiB live, 611.0MiB allocated; 45ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
196	-	1	(-1.1453917933191992e-172 -1.7543198763176259e-161 -43.8382599791366 7.235962586960694e-156)	`(sin.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)))`
121	-	1	(-1.1453917933191992e-172 -1.7543198763176259e-161 -43.8382599791366 7.235962586960694e-156)	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`
6	-	1	(9.244104931125215e+58 9.236037795118237e-252 -1.1009013175939088e+88 2.423665492449192e+89)	`(*.f64 (atan2.f64 x.im x.re) y.im)`
4	-	1	(9.244104931125215e+58 9.236037795118237e-252 -1.1009013175939088e+88 2.423665492449192e+89)	`(*.f64 (atan2.f64 x.im x.re) y.re)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`
0	-	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))) (sin.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	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))`
0	-	0	-	`(atan2.f64 x.im x.re)`
0	-	0	-	`(*.f64 x.re x.re)`
0	-	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	-	0	-	`x.re`
0	-	0	-	`x.im`
0	-	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	-	0	-	`(*.f64 x.im x.im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)`
0	-	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	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	0	-	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.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	194	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	oflow-rescue	102	0
↳	`(*.f64 x.re x.re)`	overflow	68
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	102
↳	`(*.f64 x.im x.im)`	overflow	48
`*.f64`	`(*.f64 (atan2.f64 x.im x.re) y.re)`	*nu**	1	0
`*.f64`	`(*.f64 (atan2.f64 x.im x.re) y.im)`	*nu**	1	0
`sin.f64`	`(sin.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	68
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	102
↳	`(.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	48
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	uflow-rescue	1	0
↳	`(*.f64 x.re x.re)`	underflow	51
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	underflow	18
↳	`(*.f64 x.im x.im)`	underflow	71

Confusion

	Predicted +	Predicted -
+	153	2
-	71	30

Precision

0.6830357142857143

Recall

0.9870967741935484

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	153	0	2
-	71	1	29

Precision?

0.68

Recall?

0.9870967741935484

Freqs

test

number	freq
0	32
1	149
2	74
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

171.0ms	382×	1	valid
19.0ms	122×	0	valid
6.0ms	8×	2	valid

Compiler

Compiled 393 to 61 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 38.0ms (24.5% of total)

adjust: 25.0ms (16.1% of total)

ival-sin: 21.0ms (13.5% of total)

ival-log: 19.0ms (12.2% of total)

ival-hypot: 18.0ms (11.6% of total)

ival-atan2: 16.0ms (10.3% of total)

ival-add: 9.0ms (5.8% of total)

ival-exp: 5.0ms (3.2% of total)

ival-sub: 4.0ms (2.6% of total)

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

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

preprocess283.0ms (2.1%)

Memory

-16.6MiB live, 215.1MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	538
1	377	520
2	1046	516
3	2705	514
0	19	37
0	34	37
1	62	36
2	157	36
3	342	36
4	822	36
5	4539	36
0	8183	25

Stop Event

1×	iter limit
1×	node limit
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))) (sin.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))) (sin.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 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))

Compiler

Compiled 37 to 19 computations (48.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(.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))) (sin.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

▶

39.6%

(*.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))) (sin.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 37 to 19 computations (48.6% saved)

simplify166.0ms (1.2%)

Memory

-1.0MiB live, 147.5MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(+.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	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	176
0	34	176
1	62	174
2	157	174
3	342	174
4	822	174
5	4539	174
0	8183	120

Stop Event

1×	iter limit
1×	node limit
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))) (sin.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
(sin.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))) (sin.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 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (hypot.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 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.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 (neg.f64 (atan2.f64 x.im x.re)) y.im (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.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)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(sin.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)))
(sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.re)

localize133.0ms (1%)

Memory

8.8MiB live, 147.0MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.9656968070567642	(*.f64 (atan2.f64 x.im x.re) y.re)
accuracy	1.4361161223659518	(*.f64 (atan2.f64 x.im x.re) y.im)
accuracy	28.05146078484507	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	43.63102805770905	(sin.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

79.0ms	191×	1	valid
12.0ms	61×	0	valid
3.0ms	4×	2	valid

Compiler

Compiled 178 to 21 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 20.0ms (26.8% of total)

adjust: 12.0ms (16.1% of total)

ival-sin: 10.0ms (13.4% of total)

ival-hypot: 9.0ms (12% of total)

ival-log: 9.0ms (12% of total)

ival-atan2: 5.0ms (6.7% of total)

ival-add: 4.0ms (5.4% of total)

ival-exp: 2.0ms (2.7% of total)

ival-sub: 2.0ms (2.7% of total)

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

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

series63.0ms (0.5%)

Memory

-6.2MiB live, 89.5MiB allocated; 17ms collecting garbage

Counts

7 → 126

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(+.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))
(sin.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 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)

Outputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (+ (* -1/2 (* y.re (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2)))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (+ (* y.re (+ (* -1/2 (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* -1/6 (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3)))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x.im	@	inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.re))
10.0ms	y.re	@	0	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.re))
6.0ms	x.re	@	inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.re))
5.0ms	x.re	@	0	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.re))
5.0ms	x.im	@	0	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.im) (* (atan2 x.im x.re) y.re))

simplify184.0ms (1.4%)

Memory

23.4MiB live, 202.4MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	830	7271
1	2614	7075
0	8220	5868

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 126

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (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))))) (* (pow x.re 2) (* (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))))))))))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (+ (* 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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))
#s(approx (* (atan2 x.im x.re) y.im) #s(hole binary64 (* y.im (atan2 x.im x.re))))
#s(approx (* (atan2 x.im x.re) y.re) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (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))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (/ (* (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 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (pow x.re 6)))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 4))) (+ (* -1/8 (/ (* (pow x.im 4) (* (pow y.im 2) (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 (cos (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))))))))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* -1 x.im)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* -1 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* -1 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* -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))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))) (+ (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.re 4) y.re)) (* 1/8 (* (pow x.re 4) (pow y.re 2))))) (pow x.im 4)) (/ (* (exp (- (* -1 (* y.re (log (/ -1 x.im)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.re 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.re 6)) (* 90 (pow x.re 6))))) (* 1/48 (* (pow x.re 6) (pow y.re 3)))))) (pow x.im 6)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (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 (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (sin (+ (* -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) (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 6))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (cos (+ (* -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)))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (neg (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* 1/2 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (neg (* y.im (atan2 x.im x.re)))) (* y.re (+ (* y.re (+ (* 1/6 (* y.re (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))) (* 1/2 (* (exp (neg (* y.im (atan2 x.im x.re)))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))) (* (exp (neg (* y.im (atan2 x.im x.re)))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (+ (* -1/2 (* y.re (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2)))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (+ (* y.re (+ (* -1/2 (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* -1/6 (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3)))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))

Outputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 x.re x.re) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 x.re x.re) x.im))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (.f64 (/.f64 (.f64 (*.f64 x.re x.re) y.re) x.im) (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im)) #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im) (/.f64 y.re x.im)) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (.f64 x.re x.re))) (*.f64 x.re x.re) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
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#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
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#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))
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#s(approx (* (atan2 x.im x.re) y.im) #s(hole binary64 (* y.im (atan2 x.im x.re))))
#s(approx (* (atan2 x.im x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.im))
#s(approx (* (atan2 x.im x.re) y.re) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (* (atan2 x.im x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64)) x.re))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
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#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (exp.f64 (neg.f64 (fma.f64 (neg.f64 (log.f64 x.re)) y.re (*.f64 (atan2.f64 x.im x.re) y.im)))))
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#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
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#s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (+ (* y.re (+ (* -1/2 (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* -1/6 (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3)))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) y.re (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (atan2.f64 x.im x.re))) y.re (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (neg.f64 y.re) (neg.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y.im) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (neg.f64 (atan2.f64 x.im x.re)))) y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (fma.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (atan2.f64 x.im x.re) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (.f64 #s(literal -1/6 binary64) y.im) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))) y.im)) y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y.im) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64))) (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y.im (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (neg.f64 y.im) (neg.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))))))

rewrite55.0ms (0.4%)

Memory

25.6MiB live, 71.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	32	78
1	108	77
0	827	54

Stop Event

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

Counts

7 → 189

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(+.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))
(sin.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 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)

Outputs
(.f64 (pow.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(/.f64 (hypot.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (neg.f64 x.re))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (fabs.f64 x.re))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) x.re)
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 x.im))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (fabs.f64 x.im))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) x.im)
(hypot.f64 (neg.f64 (neg.f64 x.im)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.re))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (fabs.f64 x.re))
(hypot.f64 (neg.f64 (neg.f64 x.im)) x.re)
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 x.re))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) x.re)
(hypot.f64 (neg.f64 (neg.f64 x.re)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 x.im))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (fabs.f64 x.im))
(hypot.f64 (neg.f64 (neg.f64 x.re)) x.im)
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 x.im))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (fabs.f64 x.im))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) x.im)
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (neg.f64 x.re))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (fabs.f64 x.re))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) x.re)
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (neg.f64 x.im))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 x.im))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) x.im)
(hypot.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x.re) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (neg.f64 x.re) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 x.re) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 x.re) (neg.f64 x.im))
(hypot.f64 (neg.f64 x.re) (fabs.f64 x.im))
(hypot.f64 (neg.f64 x.re) x.im)
(hypot.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x.im) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (neg.f64 x.im) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 x.im) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 x.im) (neg.f64 x.re))
(hypot.f64 (neg.f64 x.im) (fabs.f64 x.re))
(hypot.f64 (neg.f64 x.im) x.re)
(hypot.f64 (fabs.f64 x.re) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x.re) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (fabs.f64 x.re) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (fabs.f64 x.re) (fabs.f64 (fabs.f64 x.im)))
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(fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(fma.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (neg.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(+.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))

eval167.0ms (1.2%)

Memory: -47.1MiB live, 148.2MiB allocated; 45ms collecting garbage
Compiler: Compiled 23 679 to 2 728 computations (88.5% saved)

prune28.0ms (0.2%)

Memory

33.5MiB live, 79.8MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	465	21	486
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	466	21	487

Accuracy

77.3%

Counts

487 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.7%	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	18.7%	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	29.6%	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	26.9%	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	16.1%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))))))
▶	27.8%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	31.4%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	48.7%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
	52.2%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
	53.2%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	54.5%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	47.0%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y.im) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64))) (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y.im (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
	20.4%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (neg.f64 y.im) (neg.f64 (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) x.re) (sin.f64 (fma.f64 (neg.f64 y.im) (neg.f64 (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	21.8%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 x.re x.re) y.im) x.im) (/.f64 (cos.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (.f64 (atan2.f64 x.im x.re) y.re))) x.im)) #s(literal 1/2 binary64) (sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	60.4%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
▶	62.4%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	32.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
▶	16.3%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
	18.5%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
▶	28.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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))))
	27.0%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.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 2 200 to 1 310 computations (40.5% saved)

simplify139.0ms (1%)

Memory

-2.1MiB live, 137.6MiB allocated; 19ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(+.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	1	(exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
cost-diff	1	(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
cost-diff	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
cost-diff	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
cost-diff	0	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(+.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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
cost-diff	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1217
0	125	972
1	208	962
2	500	962
3	1680	962
0	8612	943

Stop Event

1×	iter limit
1×	node limit
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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(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
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(sin.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)
(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)
(*.f64 x.im x.im)
y.im
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) 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
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 x.re)
(*.f64 (atan2.f64 x.im x.re) y.re)
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) 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
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im)
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
(fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
#s(literal 1/2 binary64)
(*.f64 (atan2.f64 x.im x.re) y.re)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re)
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
(fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)
(fma.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re))
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.im x.im)
x.im
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
#s(literal -1/8 binary64)
(/.f64 #s(literal 1/2 binary64) x.re)
#s(literal 1/2 binary64)
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(sin.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)
(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)
(*.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (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)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.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 (neg.f64 (atan2.f64 x.im x.re)) y.im (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.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)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) y.re)
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(sin.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)))
(sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
y.im
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (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)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.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 (neg.f64 (atan2.f64 x.im x.re)) y.im (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.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)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 x.re)
(*.f64 (atan2.f64 x.im x.re) y.re)
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (sin.f64 (fma.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (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)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.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 (neg.f64 (atan2.f64 x.im x.re)) y.im (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.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)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(sin.f64 (fma.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im (.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im (.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im)
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im)
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)))
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))
(fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
#s(literal 1/2 binary64)
(*.f64 (atan2.f64 x.im x.re) y.re)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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 (pow.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)) y.re) (/.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re))) y.re (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re)
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re))) y.re)
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)))
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re))
(fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)
(fma.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re)
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 x.im x.im)
x.im
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
#s(literal -1/8 binary64)
(/.f64 #s(literal 1/2 binary64) x.re)
#s(literal 1/2 binary64)
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(sin.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)))
(sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (atan2.f64 x.im x.re) y.re)

localize268.0ms (2%)

Memory

-12.8MiB live, 414.2MiB allocated; 46ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	9.675651538801256	(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	14.65244739630282	#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
accuracy	15.540895155157292	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	22.565773544296267	(sin.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)))
accuracy	4.41282424490687	(/.f64 (*.f64 x.re x.re) x.im)
accuracy	15.540895155157292	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	22.565773544296267	(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	25.9637428332324	#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
accuracy	1.3345536223659518	(*.f64 (atan2.f64 x.im x.re) y.im)
accuracy	7.46902135651338	#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	15.540895155157292	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	22.565773544296267	(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
accuracy	0.8446030570567642	(*.f64 (atan2.f64 x.im x.re) y.re)
accuracy	8.607798317455488	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
accuracy	15.540895155157292	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	22.565773544296267	(sin.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)))
accuracy	10.97378363724262	#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
accuracy	15.540895155157292	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	17.179805783144438	(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
accuracy	17.495515716486846	(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))

Samples

136.0ms	99×	1	valid
49.0ms	118×	0	invalid
14.0ms	37×	0	valid
3.0ms	2×	2	valid

Compiler

Compiled 1 029 to 46 computations (95.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-add: 31.0ms (19.9% of total)

ival-mult: 28.0ms (18% of total)

ival-log: 22.0ms (14.1% of total)

ival-hypot: 19.0ms (12.2% of total)

adjust: 16.0ms (10.3% of total)

ival-sin: 11.0ms (7.1% of total)

ival-pow: 9.0ms (5.8% of total)

ival-div: 7.0ms (4.5% of total)

ival-cos: 5.0ms (3.2% of total)

ival-atan2: 4.0ms (2.6% of total)

ival-exp: 2.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series121.0ms (0.9%)

Memory

-2.2MiB live, 147.0MiB allocated; 29ms collecting garbage

Counts

23 → 219

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.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.im) (.f64 (atan2.f64 x.im x.re) y.re))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(sin.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)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (*.f64 x.re x.re) x.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))

Outputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (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))))) (* (pow x.re 2) (* (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))))))))))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (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 (* (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))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (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)))) (+ (* -1/8 (/ (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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log x.im)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (* y.im (log x.im))))) (pow x.im 2))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))) (* (pow x.re 2) (+ (* 1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 6))) (* (cos (* y.im (log x.im))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log x.im)))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (cos (* y.im (log x.im))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (* y.im (log x.im))))) (pow x.im 2))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (cos (* y.im (log x.im))) (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 2))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (cos (* y.im (log x.im))) (* (pow x.re 2) (- (* (pow x.re 2) (- (+ (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* (pow x.re 2) (- (* 1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 6))) (* (sin (* y.im (log x.im))) (+ (* -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)))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 2))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (+ (* 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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))
#s(approx (* (atan2 x.im x.re) y.re) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (* (atan2 x.im x.re) y.im) #s(hole binary64 (* y.im (atan2 x.im x.re))))
#s(approx (/ (* x.re x.re) x.im) #s(hole binary64 (/ (pow x.re 2) x.im)))
#s(approx (/ (* x.im x.im) (pow x.re 3)) #s(hole binary64 (/ (pow x.im 2) (pow x.re 3))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (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))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (/ (* (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 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (pow x.re 6)))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (+ (* y.re (+ (* -1/2 (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* -1/6 (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3)))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1/6 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* 1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1/6 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* 1/120 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* (pow y.im 2) (+ (* -1/5040 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 7))) (* 1/120 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5))))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 1))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* -1/2 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* 1/24 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 6))) (* 1/24 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x.re	@	inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (/ (* x.im x.im) (pow x.re 3)))
20.0ms	x.im	@	inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (/ (* x.im x.im) (pow x.re 3)))
9.0ms	x.im	@	-inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (/ (* x.im x.im) (pow x.re 3)))
9.0ms	x.re	@	-inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (/ (* x.im x.im) (pow x.re 3)))
7.0ms	x.im	@	0	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* (atan2 x.im x.re) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (sqrt (+ (* x.re x.re) (* x.im x.im))) (/ (* x.im x.im) (pow x.re 3)))

simplify270.0ms (2%)

Memory

24.6MiB live, 209.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1712	18669
1	5677	18223
0	8093	15609

Stop Event

1×	iter limit
1×	node limit

Counts

219 → 219

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (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))))) (* (pow x.re 2) (* (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))))))))))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (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 (* (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))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (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)))) (+ (* -1/8 (/ (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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log x.im)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (* y.im (log x.im))))) (pow x.im 2))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))) (* (pow x.re 2) (+ (* 1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 6))) (* (cos (* y.im (log x.im))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log x.im)))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (* y.re (+ (* y.re (+ (* -1/2 (* (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 2))) (* -1/6 (* y.re (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (pow (atan2 x.im x.re) 3)))))) (* (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))) (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (+ (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re) (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 (/ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) y.re)) (* -1 (atan2 x.im x.re)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1/6 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* 1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1/6 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* 1/120 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* (pow y.im 2) (+ (* -1/5040 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 7))) (* 1/120 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5))))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 1))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* -1/2 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* 1/24 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 6))) (* 1/24 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))

Outputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 x.re x.re) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 x.re x.re) x.im))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (.f64 (/.f64 (.f64 (*.f64 x.re x.re) y.re) x.im) (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im)) #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (fma.f64 (.f64 (/.f64 y.re x.im) (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im)) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (.f64 x.re x.re))) (*.f64 x.re x.re) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (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))))) (* (pow x.re 2) (* (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))))))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (fma.f64 (.f64 (/.f64 y.re x.im) (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y.re y.re) (pow.f64 x.im #s(literal 6 binary64))) #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y.re (.f64 #s(literal 1/48 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (.f64 x.re x.re) (.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (.f64 x.re x.re))) (*.f64 x.re x.re) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) (*.f64 x.im x.im))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
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#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* 1/120 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 5 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)))) (*.f64 y.im y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* (pow y.im 2) (+ (* -1/5040 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 7))) (* 1/120 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5))))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 7 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 5 binary64)) #s(literal 1/120 binary64))) (.f64 y.im y.im) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)))) (*.f64 y.im y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 1))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* -1/2 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* 1/24 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 y.im y.im) #s(literal 1 binary64)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 6))) (* 1/24 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4)))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 6 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 4 binary64)) #s(literal 1/24 binary64))) (.f64 y.im y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 y.im y.im) #s(literal 1 binary64)))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y.im) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64))) (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y.im (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re)))) y.im)))

rewrite119.0ms (0.9%)

Memory

-6.8MiB live, 180.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	502
0	121	402
1	362	401
0	2537	390

Stop Event

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

Counts

23 → 306

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.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.im) (.f64 (atan2.f64 x.im x.re) y.re))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(sin.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)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (*.f64 x.re x.re) x.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))

Outputs
(.f64 (pow.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))))
(/.f64 (hypot.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (neg.f64 x.re))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) (fabs.f64 x.re))
(hypot.f64 (pow.f64 x.im #s(literal 1 binary64)) x.re)
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (neg.f64 x.im))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) (fabs.f64 x.im))
(hypot.f64 (pow.f64 x.re #s(literal 1 binary64)) x.im)
(hypot.f64 (neg.f64 (neg.f64 x.im)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.re))
(hypot.f64 (neg.f64 (neg.f64 x.im)) (fabs.f64 x.re))
(hypot.f64 (neg.f64 (neg.f64 x.im)) x.re)
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (neg.f64 x.re))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.re))
(hypot.f64 (neg.f64 (fabs.f64 x.im)) x.re)
(hypot.f64 (neg.f64 (neg.f64 x.re)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 x.im))
(hypot.f64 (neg.f64 (neg.f64 x.re)) (fabs.f64 x.im))
(hypot.f64 (neg.f64 (neg.f64 x.re)) x.im)
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.im)))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 x.im))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) (fabs.f64 x.im))
(hypot.f64 (neg.f64 (fabs.f64 x.re)) x.im)
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (pow.f64 x.re #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (neg.f64 (neg.f64 x.re)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (neg.f64 (fabs.f64 x.re)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (fabs.f64 (fabs.f64 x.re)))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (neg.f64 x.re))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) (fabs.f64 x.re))
(hypot.f64 (fabs.f64 (fabs.f64 x.im)) x.re)
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (pow.f64 x.im #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (neg.f64 (neg.f64 x.im)))
(hypot.f64 (fabs.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.im)))
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(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))))
(fma.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(fma.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (neg.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(+.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im)))) (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))))) (-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im)))) (.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im)))))))
(fma.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im)) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(fma.f64 (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im)) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(fma.f64 (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(sin.f64 (fma.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im (.f64 (atan2.f64 x.im x.re) y.re)))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (neg.f64 (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im)) (sin.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(+.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re x.re) x.im) x.im))) y.im))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(*.f64 (/.f64 x.re x.im) x.re)
(*.f64 (neg.f64 x.re) (/.f64 (neg.f64 x.re) x.im))
(*.f64 (fabs.f64 x.re) (/.f64 (fabs.f64 x.re) x.im))
(*.f64 x.re (/.f64 x.re x.im))
(/.f64 (*.f64 (neg.f64 x.re) x.re) (neg.f64 x.im))
(/.f64 (*.f64 x.re x.re) (neg.f64 (neg.f64 x.im)))
(/.f64 (*.f64 x.re x.re) x.im)
(neg.f64 (/.f64 (*.f64 (neg.f64 x.re) x.re) x.im))
(neg.f64 (/.f64 (*.f64 x.re x.re) (neg.f64 x.im)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
(*.f64 (/.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 3/2 binary64))) (/.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 3/2 binary64))))
(.f64 (/.f64 (neg.f64 x.im) (.f64 x.re x.re)) (/.f64 (neg.f64 x.im) x.re))
(.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) (.f64 x.re x.re)))
(*.f64 (/.f64 (fabs.f64 x.im) (pow.f64 x.re #s(literal 3/2 binary64))) (/.f64 (fabs.f64 x.im) (pow.f64 x.re #s(literal 3/2 binary64))))
(.f64 (/.f64 (fabs.f64 x.im) (.f64 x.re x.re)) (/.f64 (fabs.f64 x.im) x.re))
(.f64 (/.f64 (fabs.f64 x.im) x.re) (/.f64 (fabs.f64 x.im) (.f64 x.re x.re)))
(*.f64 (/.f64 x.im (pow.f64 x.re #s(literal 3/2 binary64))) (/.f64 x.im (pow.f64 x.re #s(literal 3/2 binary64))))
(.f64 (/.f64 x.im (.f64 x.re x.re)) (/.f64 x.im x.re))
(.f64 (/.f64 x.im x.re) (/.f64 x.im (.f64 x.re x.re)))
(*.f64 (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fabs.f64 x.im) (/.f64 (fabs.f64 x.im) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64)))
(/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re)
(/.f64 (/.f64 (.f64 x.im x.im) x.re) (.f64 x.re x.re))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(/.f64 (*.f64 x.im x.im) (neg.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64))))
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 3 binary64))))
(neg.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64))))

eval238.0ms (1.7%)

Memory: 3.6MiB live, 393.9MiB allocated; 111ms collecting garbage
Compiler: Compiled 93 564 to 5 079 computations (94.6% saved)

prune113.0ms (0.8%)

Memory

-17.5MiB live, 170.7MiB allocated; 13ms collecting garbage

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	1 381	31	1 412
Fresh	13	3	16
Picked	5	0	5
Done	0	0	0
Total	1 399	34	1 433

Accuracy

95.5%

Counts

1 433 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.2%	(fma.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (.f64 (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))
	23.7%	(.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))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
	16.1%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))))))
▶	53.2%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	20.4%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
▶	60.4%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
	48.2%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im)))))
	47.0%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	28.8%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	62.8%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	19.7%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	25.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	18.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	20.0%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	16.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.re) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	17.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	15.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (.f64 (atan2.f64 x.im x.re) y.re))))))
	25.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	24.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	44.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
	54.5%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
▶	44.0%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	47.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	23.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	51.7%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	45.8%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)))) y.im (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))))
	45.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (atan2.f64 x.im x.re)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) y.im (.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (log.f64 (hypot.f64 x.im x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) y.im (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))))
	42.1%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
▶	64.7%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
▶	34.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	30.7%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	28.8%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))

Compiler

Compiled 4 332 to 2 200 computations (49.2% saved)

simplify213.0ms (1.6%)

Memory

49.7MiB live, 226.3MiB allocated; 52ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
cost-diff	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
cost-diff	0	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
cost-diff	1	(exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))
cost-diff	2	(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.re))
cost-diff	2	(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) 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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
cost-diff	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
cost-diff	0	(hypot.f64 x.im x.re)
cost-diff	0	(pow.f64 (hypot.f64 x.im x.re) y.re)
cost-diff	0	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
cost-diff	0	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
cost-diff	0	(pow.f64 (hypot.f64 x.im x.re) y.re)
cost-diff	0	(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
cost-diff	0	(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
cost-diff	0	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	891
0	107	749
1	187	723
2	386	720
3	831	720
4	2373	720
0	9433	718

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 (hypot.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.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
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))
(sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))))
(fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im)))
(atan2.f64 x.im x.re)
x.im
x.re
y.re
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))
(*.f64 (neg.f64 (log.f64 x.im)) y.im)
(neg.f64 (log.f64 x.im))
(log.f64 x.im)
y.im
(exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.re))
(*.f64 (neg.f64 (log.f64 x.im)) y.re)
(*.f64 (atan2.f64 x.im x.re) y.im)
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.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
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))
(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))

Outputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 (hypot.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (hypot.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 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.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 (neg.f64 (atan2.f64 x.im x.re)) y.im (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.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
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))))
(sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im)))
(fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(atan2.f64 x.im x.re)
x.im
x.re
y.re
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 (neg.f64 (log.f64 x.im)) y.im)
(*.f64 (neg.f64 y.im) (log.f64 x.im))
(neg.f64 (log.f64 x.im))
(log.f64 x.im)
y.im
(exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.re))
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.re))
(*.f64 (log.f64 x.im) y.re)
(*.f64 (neg.f64 (log.f64 x.im)) y.re)
(*.f64 (neg.f64 y.re) (log.f64 x.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (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)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.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 (neg.f64 (atan2.f64 x.im x.re)) y.im (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.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
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))
(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))

localize360.0ms (2.6%)

Memory

-9.5MiB live, 386.8MiB allocated; 61ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.4200734043499885	#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
accuracy	7.315907249509558	(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	7.498162678425987	(sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	8.156879549993771	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	0.09375	(*.f64 (neg.f64 (log.f64 x.im)) y.im)
accuracy	0.278425540821568	(fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im)))
accuracy	3.722064427288692	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
accuracy	11.389193020688836	(sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))))
accuracy	0.5527867423593947	(*.f64 (atan2.f64 x.im x.re) y.re)
accuracy	8.156879549993771	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	8.451663652849822	#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	11.317997419618774	(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	0.5527867423593947	(*.f64 (atan2.f64 x.im x.re) y.re)
accuracy	3.950365978945935	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
accuracy	8.451663652849822	#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	11.317997419618774	(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	0.05859375	(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	0.4999972479416279	(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
accuracy	0.5527867423593947	(*.f64 (atan2.f64 x.im x.re) y.re)
accuracy	11.317997419618774	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))

Samples

149.0ms	11×	5	exit
69.0ms	51×	1	valid
58.0ms	128×	0	invalid
22.0ms	37×	0	exit
16.0ms	29×	0	valid

Compiler

Compiled 829 to 47 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-sin: 49.0ms (18.4% of total)

adjust: 39.0ms (14.7% of total)

ival-mult: 34.0ms (12.8% of total)

ival-pow: 31.0ms (11.7% of total)

ival-atan2: 29.0ms (10.9% of total)

ival-log: 24.0ms (9% of total)

ival-div: 18.0ms (6.8% of total)

ival-hypot: 13.0ms (4.9% of total)

ival-exp: 9.0ms (3.4% of total)

ival-add: 8.0ms (3% of total)

ival-cos: 5.0ms (1.9% of total)

ival-neg: 4.0ms (1.5% of total)

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

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

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

series542.0ms (4%)

Memory

12.1MiB live, 664.1MiB allocated; 121ms collecting garbage

Counts

27 → 390

Calls

Call 1

Inputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(hypot.f64 x.im x.re)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.re))
(exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (atan2.f64 x.im x.re) y.re)
(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))))
(fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im)))
(*.f64 (neg.f64 (log.f64 x.im)) y.im)
(sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))))
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#s(approx (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re)))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* 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 y.re)))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (sin (+ (* y.im (log x.im)) (* y.re (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))))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* 1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))) (pow x.im y.re)) (exp (* 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 y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re))))))))))) (/ (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (/ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (pow x.im 2))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (+ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))))))) (pow x.im y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ 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)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
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#s(approx (* (atan2 x.im x.re) y.re) #s(hole binary64 (* y.re (atan2 x.im x.re))))
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#s(approx (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (* 1/4 (/ (* y.im (* y.re (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re)))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re)))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4)))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* 1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 6))) (* (cos (+ (* 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)))))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))))) (+ (/ (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))))))))) (/ (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))))
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#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.im 2) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (/ (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.im 2) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (pow x.re y.re)))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (pow x.re 2))) (* (pow x.im 2) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))))) (pow x.re y.re))))
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#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))))
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#s(approx (neg (* (neg (log x.im)) y.im)) #s(hole binary64 (* y.im (log x.im))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (exp (* -1 (* y.re (log (/ 1 x.im)))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (exp (* -1 (* y.re (log (/ 1 x.im))))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (pow x.im 2))))))
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#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))))
#s(approx (neg (* (neg (log x.im)) y.im)) #s(hole binary64 (* -1 (* y.im (log (/ 1 x.im))))))
#s(approx (neg (* (neg (log x.im)) y.re)) #s(hole binary64 (* -1 (* y.re (log (/ 1 x.im))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (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 (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (sin (+ (* -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) (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 6))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (cos (+ (* -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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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)))))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (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 (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))))
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#s(approx (* (neg (log x.im)) y.im) #s(hole binary64 (* y.im (log (/ 1 x.im)))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 1))
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#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (* y.im (log x.im))))
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#s(approx (cos (* (atan2 x.im x.re) y.re)) #s(hole binary64 1))
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#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
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#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (neg (* -1 (* y.re (log x.im)))))))
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Calls

12 calls:

Time	Variable		Point	Expression
93.0ms	y.im	@	inf	((* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sqrt (+ (* x.im x.im) (* x.re x.re))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (neg (* (neg (log x.im)) y.im)) (neg (* (neg (log x.im)) y.re)) (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.re) (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (* (neg (log x.im)) y.im) (sin (* (atan2 x.im x.re) y.re)) (cos (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
68.0ms	x.re	@	0	((* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sqrt (+ (* x.im x.im) (* x.re x.re))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (neg (* (neg (log x.im)) y.im)) (neg (* (neg (log x.im)) y.re)) (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.re) (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (* (neg (log x.im)) y.im) (sin (* (atan2 x.im x.re) y.re)) (cos (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
49.0ms	y.im	@	-inf	((* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sqrt (+ (* x.im x.im) (* x.re x.re))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (neg (* (neg (log x.im)) y.im)) (neg (* (neg (log x.im)) y.re)) (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.re) (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (* (neg (log x.im)) y.im) (sin (* (atan2 x.im x.re) y.re)) (cos (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
48.0ms	x.re	@	-inf	((* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sqrt (+ (* x.im x.im) (* x.re x.re))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (neg (* (neg (log x.im)) y.im)) (neg (* (neg (log x.im)) y.re)) (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.re) (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (* (neg (log x.im)) y.im) (sin (* (atan2 x.im x.re) y.re)) (cos (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))
48.0ms	x.im	@	0	((* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sqrt (+ (* x.im x.im) (* x.re x.re))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (neg (* (neg (log x.im)) y.im)) (neg (* (neg (log x.im)) y.re)) (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) (* (atan2 x.im x.re) y.re) (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (* (neg (log x.im)) y.im) (sin (* (atan2 x.im x.re) y.re)) (cos (* (atan2 x.im x.re) y.re)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))

simplify308.0ms (2.3%)

Memory

16.5MiB live, 281.8MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2285	32831
1	7569	31962
0	8276	27420

Stop Event

1×	iter limit
1×	node limit

Counts

390 → 390

Calls

Call 1

Inputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))))
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#s(approx (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* y.re (* (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re)))) (* (pow x.im 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* 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 y.re)))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))) (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (sin (+ (* y.im (log x.im)) (* y.re (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))))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* 1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))) (pow x.im y.re)) (exp (* 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 y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re))))))))))) (/ (* (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (* (pow x.im 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.re 2) (+ (/ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (pow x.im y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (pow x.im 2))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (+ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))))))) (pow x.im y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ 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)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
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#s(approx (* (atan2 x.im x.re) y.re) #s(hole binary64 (* y.re (atan2 x.im x.re))))
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#s(approx (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (* 1/4 (/ (* y.im (* y.re (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re)))) (* (pow x.re 4) (exp (* y.im (atan2 x.im x.re)))))) (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re)))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (* 1/2 (/ (* y.re (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4)))) (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (+ (/ (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* 1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 6))) (* (cos (+ (* 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)))))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))))) (+ (/ (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))) (/ (* (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re))))) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re))))))))))) (/ (* (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))))))
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#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (pow x.re y.re))) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (/ (* (pow x.im 2) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (* (pow x.re 2) (exp (* y.im (atan2 x.im x.re)))))) (* (pow x.im 2) (+ (/ (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re)) (exp (* y.im (atan2 x.im x.re)))) (/ (* (pow x.im 2) (* (+ (* -1/8 (/ (pow y.re 2) (pow x.re 6))) (+ (* 1/48 (/ (pow y.re 3) (pow x.re 6))) (* 1/6 (/ y.re (pow x.re 6))))) (pow x.re y.re))) (exp (* y.im (atan2 x.im x.re)))))))) (/ (pow x.re y.re) (exp (* y.im (atan2 x.im x.re)))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (pow x.re y.re)))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (pow x.re y.re)) (pow x.re 2))) (* (pow x.im 2) (* (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (pow y.re 2) (pow x.re 4)))) (pow x.re y.re))))) (pow x.re y.re))))
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#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))))
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#s(approx (neg (* (neg (log x.im)) y.im)) #s(hole binary64 (* y.im (log x.im))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (exp (* -1 (* y.re (log (/ 1 x.im)))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (exp (* -1 (* y.re (log (/ 1 x.im))))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.im))))))) (pow x.im 2))))))
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#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* -1 (* y.re (log (/ 1 x.im)))) (* y.im (atan2 x.im x.re))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.im (+ 1 (* 1/2 (/ (pow x.re 2) (pow x.im 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.im (+ 1 (+ (* -1/8 (/ (pow x.re 4) (pow x.im 4))) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))))
#s(approx (neg (* (neg (log x.im)) y.im)) #s(hole binary64 (* -1 (* y.im (log (/ 1 x.im))))))
#s(approx (neg (* (neg (log x.im)) y.re)) #s(hole binary64 (* -1 (* y.re (log (/ 1 x.im))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (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 (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (sin (+ (* -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) (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 6))) (+ (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))) (/ (* (cos (+ (* -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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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)))))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/4 (/ (* (pow x.re 4) (* y.im (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow x.re 4) (* (pow y.im 2) (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 (cos (+ (* -1 (* y.im (log (/ 1 x.im)))) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))))
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#s(approx (* (neg (log x.im)) y.im) #s(hole binary64 (* y.im (log (/ 1 x.im)))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* -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))))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 1))
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#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (* y.im (log x.im))))
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#s(approx (cos (* (atan2 x.im x.re) y.re)) #s(hole binary64 1))
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#s(approx (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (- (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
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#s(approx (* (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (- (+ (* y.im (- (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (- (* -1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/6 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (- (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (atan2 x.im x.re) 2))) (* (- (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (- (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (atan2 x.im x.re)))) (atan2 x.im x.re))))))) (+ (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (- (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (atan2 x.im x.re))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* y.im (- (* -1 (* y.im (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (* y.im (- (* y.im (- (* -1 (* y.im (+ (* -1 (* (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (atan2 x.im x.re))) (+ (* -1/2 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/6 (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (+ (* -1 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* -1 (* y.im (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* 1/2 (* y.im (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))) (* y.im (+ (* -1/6 (* y.im (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (neg (* -1 (* y.re (log x.im)))))))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (neg (* -1 (* y.re (log x.im))))) (* -1 (* y.im (* (exp (neg (* -1 (* y.re (log x.im))))) (atan2 x.im x.re)))))))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (neg (* -1 (* y.re (log x.im))))) (* y.im (+ (* -1 (* (exp (neg (* -1 (* y.re (log x.im))))) (atan2 x.im x.re))) (* 1/2 (* y.im (* (exp (neg (* -1 (* y.re (log x.im))))) (pow (atan2 x.im x.re) 2)))))))))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (neg (* -1 (* y.re (log x.im))))) (* y.im (+ (* -1 (* (exp (neg (* -1 (* y.re (log x.im))))) (atan2 x.im x.re))) (* y.im (+ (* -1/6 (* y.im (* (exp (neg (* -1 (* y.re (log x.im))))) (pow (atan2 x.im x.re) 3)))) (* 1/2 (* (exp (neg (* -1 (* y.re (log x.im))))) (pow (atan2 x.im x.re) 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log x.im))))))
#s(approx (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log x.im) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log x.im)))))))
#s(approx (sin (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log x.im) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log x.im) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log x.im)))))))
#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (* y.im (- (/ (* y.re (atan2 x.im x.re)) y.im) (* -1 (log x.im))))))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))
#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)) (log x.im))))))

Outputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im)
#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
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#s(approx (sqrt (+ (* x.im x.im) (* x.re x.re))) #s(hole binary64 (+ 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)))))))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
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#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) (*.f64 x.im x.im))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (neg (+ (* -1 (* y.re (log x.im))) (* y.im (atan2 x.im x.re)))))))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (exp.f64 (neg.f64 (fma.f64 y.im (atan2.f64 x.im x.re) (neg.f64 (*.f64 (log.f64 x.im) y.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))
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#s(approx (* (atan2 x.im x.re) y.re) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (* (atan2 x.im x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.re))
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#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (/ (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (pow (exp y.im) (atan2 x.im x.re))) #s(hole binary64 (+ (/ 1 (exp (* y.im (atan2 x.im x.re)))) (/ (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (exp (* y.im (atan2 x.im x.re)))))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ 1 (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ 1 (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* 1/2 (* y.re (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))))
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#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (neg (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
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#s(approx (sin (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.re (atan2 x.im x.re))))
#s(approx (sin (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
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#s(approx (cos (* (atan2 x.im x.re) y.re)) #s(hole binary64 1))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
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#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
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#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
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#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (* y.im (- (/ (* y.re (atan2 x.im x.re)) y.im) (* -1 (log x.im))))))
#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (.f64 #s(literal 1 binary64) (log.f64 x.im))) y.im))
#s(approx (+ (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re)))) y.im)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re)))) y.im)))
#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)) (log x.im))))))
#s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 x.im x.re) y.re) y.im)) (log.f64 x.im)) y.im)))

rewrite182.0ms (1.3%)

Memory

21.2MiB live, 210.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	556
0	107	461
1	323	447
2	1924	443
0	8858	443

Stop Event

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

Counts

27 → 605

Calls

Call 1

Inputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(hypot.f64 x.im x.re)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))
(neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.re))
(exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (atan2.f64 x.im x.re) y.re)
(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im))))
(fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.im)))
(*.f64 (neg.f64 (log.f64 x.im)) y.im)
(sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (/.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (/.f64 (.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (/.f64 (.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(/.f64 (neg.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (sin.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (+.f64 (pow.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 2 binary64)) (.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))) (sin.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))))
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(-.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 x.im) (neg.f64 y.im)))) (/.f64 (pow.f64 (.f64 (log.f64 x.im) y.im) #s(literal 2 binary64)) (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 x.im) (neg.f64 y.im)))))
(-.f64 (.f64 (log.f64 x.im) y.im) (.f64 (neg.f64 y.re) (atan2.f64 x.im x.re)))
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(*.f64 (log.f64 x.im) (neg.f64 y.im))
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(*.f64 y.im (neg.f64 (log.f64 x.im)))
(neg.f64 (*.f64 (log.f64 x.im) y.im))
(log.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (log.f64 x.im))))
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(sin.f64 (+.f64 (neg.f64 (*.f64 (neg.f64 y.re) (atan2.f64 x.im x.re))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (neg.f64 y.re) (atan2.f64 x.im x.re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y.re) (atan2.f64 x.im x.re)))))
(cos.f64 (neg.f64 (*.f64 (neg.f64 y.re) (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 (neg.f64 y.re) (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (PI.f64))) #s(literal 0 binary64)) (.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64)))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))

eval200.0ms (1.5%)

Memory: -42.6MiB live, 303.5MiB allocated; 66ms collecting garbage
Compiler: Compiled 104 389 to 6 226 computations (94% saved)

prune196.0ms (1.4%)

Memory

3.8MiB live, 193.0MiB allocated; 13ms collecting garbage

Pruning

53 alts after pruning (53 fresh and 0 done)

	Pruned	Kept	Total
New	1 213	32	1 245
Fresh	8	21	29
Picked	5	0	5
Done	0	0	0
Total	1 226	53	1 279

Accuracy

95.9%

Counts

1 279 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.2%	(fma.f64 (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	50.9%	(/.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
	23.7%	(.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))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
	16.1%	(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	20.4%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
	19.0%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
	29.6%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
	60.4%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 #s(approx (cos ( (atan2 x.im x.re) y.re)) #s(literal 1 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
▶	62.8%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	44.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	25.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	43.5%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	18.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	20.0%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	16.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.re) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	17.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	15.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (.f64 (atan2.f64 x.im x.re) y.re))))))
	25.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	24.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	44.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
	54.5%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
	47.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	33.9%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y.re #s(literal 2 binary64))))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	23.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
▶	29.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.9%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	29.7%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	32.9%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	31.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	31.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	32.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	10.0%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	16.3%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	15.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	8.7%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))) (.f64 x.re x.re)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	10.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	10.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	42.1%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	21.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (PI.f64)))))))
	9.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 3 binary64)) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))))))))
	51.3%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 #s(approx (pow (sqrt (+ ( x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	26.9%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (-.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (PI.f64))))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	20.8%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
	30.7%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	28.8%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	29.9%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
	28.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
	32.9%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 #s(approx (sin (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 x.im)) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
	42.1%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (/.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))

Compiler

Compiled 6 902 to 3 388 computations (50.9% saved)

simplify122.0ms (0.9%)

Memory

5.0MiB live, 95.1MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))
cost-diff	0	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))))
cost-diff	0	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
cost-diff	2	(fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re))
cost-diff	0	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
cost-diff	0	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
cost-diff	1	(.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64)))
cost-diff	1	(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
cost-diff	0	#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
cost-diff	0	(pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)
cost-diff	0	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re))
cost-diff	0	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
cost-diff	0	(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
cost-diff	0	#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
cost-diff	1	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	1	(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	4	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1349
0	157	1174
1	281	1156
2	775	1156
3	3482	1156
0	8246	1126

Stop Event

1×	iter limit
1×	node limit
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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(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
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
x.im
x.re
y.re
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re))
(pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
(fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)
(fma.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re))
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.im x.im)
x.im
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
#s(literal -1/8 binary64)
(/.f64 #s(literal 1/2 binary64) x.re)
#s(literal 1/2 binary64)
y.re
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im)
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))
(.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64)))
(neg.f64 x.im)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x.im)
#s(literal 1/2 binary64)
(/.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
#s(literal 1 binary64)
y.im
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))
(fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))
(fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (*.f64 x.re x.re)))
(.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (*.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64))))
(pow.f64 x.re y.re)
x.re
y.re
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re))
#s(literal 1/8 binary64)
(*.f64 y.re y.re)
(*.f64 #s(literal -1/4 binary64) y.re)
#s(literal -1/4 binary64)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x.im x.im)
x.im
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (*.f64 x.re x.re))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x.re y.re) y.re)
(*.f64 x.re x.re)
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64)) (atan2.f64 x.im x.re)) y.re (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(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 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.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 (neg.f64 (atan2.f64 x.im x.re)) y.im (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.im x.re)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.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)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64)) (atan2.f64 x.im x.re)) y.re (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(fma.f64 (.f64 #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64)) (atan2.f64 x.im x.re)) y.re (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64)))
(.f64 #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64)) y.re)
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
x.im
x.re
y.re
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)) y.re))
(pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)
(pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)) y.re)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re))
(fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re) (.f64 x.im x.im) x.re)
(fma.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 1/2 binary64)) x.re)
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 x.im x.im)
x.im
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
#s(literal -1/8 binary64)
(/.f64 #s(literal 1/2 binary64) x.re)
#s(literal 1/2 binary64)
y.re
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (sin.f64 (fma.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) x.im))) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
x.im
x.re
y.re
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(sin.f64 (fma.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) x.im))) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) x.im))) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im)
(.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) x.im))) y.im)
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64)))))
(log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) x.im)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) x.im))
(.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64)))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal -1 binary64)) x.im)
(neg.f64 x.im)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 #s(literal 1/2 binary64) x.im) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x.im)
#s(literal 1/2 binary64)
(/.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
#s(literal 1 binary64)
y.im
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (pow.f64 x.re y.re)) (.f64 x.im x.im) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x.re) y.re) (/.f64 (pow.f64 x.re y.re) x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (pow.f64 x.re y.re)) (.f64 x.im x.im) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x.re) y.re) (/.f64 (pow.f64 x.re y.re) x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (pow.f64 x.re y.re)) (.f64 x.im x.im) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x.re) y.re) (/.f64 (pow.f64 x.re y.re) x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))
(fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (pow.f64 x.re y.re)) (.f64 x.im x.im) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x.re) y.re) (/.f64 (pow.f64 x.re y.re) x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))
(fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (*.f64 x.re x.re)))
(fma.f64 (.f64 (.f64 (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (pow.f64 x.re y.re)) (.f64 x.im x.im) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x.re) y.re) (/.f64 (pow.f64 x.re y.re) x.re)))
(.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (*.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (pow.f64 x.re y.re))
(pow.f64 x.re y.re)
x.re
y.re
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re))
(*.f64 (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64)) y.re)
#s(literal 1/8 binary64)
(*.f64 y.re y.re)
(*.f64 #s(literal -1/4 binary64) y.re)
#s(literal -1/4 binary64)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x.im x.im)
x.im
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (*.f64 x.re x.re))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x.re) y.re) (/.f64 (pow.f64 x.re y.re) x.re))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re))
(.f64 (.f64 (pow.f64 x.re y.re) y.re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x.re y.re) y.re)
(*.f64 x.re x.re)
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(atan2.f64 x.im x.re)

localize507.0ms (3.7%)

Memory

18.9MiB live, 551.0MiB allocated; 134ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.430595899540208	(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))
accuracy	9.592162307877729	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))))
accuracy	23.702325512051946	#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	27.416230480738918	(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	4.992734569870336	(/.f64 (*.f64 x.re x.re) x.im)
accuracy	9.592162307877729	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
accuracy	27.416230480738918	(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	31.638984962769342	#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))
accuracy	11.253683286873732	(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	21.37146360553318	#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
accuracy	23.702325512051946	#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	27.416230480738918	(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	9.592162307877729	#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64)))
accuracy	21.48206910894054	#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))
accuracy	23.702325512051946	#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
accuracy	27.416230480738918	(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
accuracy	17.289012350562686	#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
accuracy	18.553578724521177	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
accuracy	19.964929587698723	(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
accuracy	20.645860992275818	#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))

Samples

306.0ms	122×	1	valid
69.0ms	58×	0	invalid
20.0ms	39×	0	exit
17.0ms	36×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 982 to 66 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-mult: 89.0ms (30.4% of total)

adjust: 68.0ms (23.2% of total)

ival-pow: 35.0ms (12% of total)

ival-log: 30.0ms (10.2% of total)

ival-hypot: 14.0ms (4.8% of total)

ival-add: 14.0ms (4.8% of total)

ival-sin: 14.0ms (4.8% of total)

ival-div: 13.0ms (4.4% of total)

ival-cos: 6.0ms (2% of total)

ival-atan2: 4.0ms (1.4% of total)

ival-exp: 2.0ms (0.7% of total)

ival-sub: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series127.0ms (0.9%)

Memory

-20.8MiB live, 172.7MiB allocated; 26ms collecting garbage

Counts

29 → 291

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re))
(pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64)))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (*.f64 x.re x.re) x.im)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))

Outputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (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))))) (* (pow x.re 2) (* (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))))))))))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (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 (* (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))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (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)))) (+ (* -1/8 (/ (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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (pow x.im 2))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (+ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))))))) (pow x.im y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (+ (* 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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (pow x.im 2))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (+ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))))))) (pow x.im y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))))
#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) #s(hole binary64 (* -1 x.im)))
#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) #s(hole binary64 (+ (* -1 x.im) (* -1/2 (/ (pow x.re 2) x.im)))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log x.im)))))
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#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log x.im)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (* y.im (log x.im))))) (pow x.im 2))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))))))))))
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#s(approx (/ (* x.im x.im) (pow x.re 3)) #s(hole binary64 (/ (pow x.im 2) (pow x.re 3))))
#s(approx (/ (* x.re x.re) x.im) #s(hole binary64 (/ (pow x.re 2) x.im)))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
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#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (exp (* -1 (* y.re (log (/ 1 x.re)))))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4))))))
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#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (exp (* -1 (* y.re (log (/ 1 x.re)))))))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.re (* 1/2 (/ (pow x.im 2) x.re)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.re (* (pow x.im 2) (+ (* -1/8 (/ (pow x.im 2) (pow x.re 3))) (* 1/2 (/ 1 x.re)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
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#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (exp (* -1 (* y.re (log (/ 1 x.im)))))))
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#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
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#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1/6 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* 1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 1))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* -1/2 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* 1/24 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 6))) (* 1/24 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1/6 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* 1/120 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* (pow y.im 2) (+ (* -1/5040 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 7))) (* 1/120 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	x.re	@	0	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (/ (* x.im x.im) (pow x.re 3)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)))
10.0ms	x.im	@	0	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (/ (* x.im x.im) (pow x.re 3)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)))
7.0ms	x.im	@	-inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (/ (* x.im x.im) (pow x.re 3)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)))
7.0ms	x.re	@	inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (/ (* x.im x.im) (pow x.re 3)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)))
6.0ms	x.re	@	-inf	((sqrt (+ (* x.re x.re) (* x.im x.im))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (/ (* x.im x.im) (pow x.re 3)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (/ (* x.re x.re) x.im) (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)))

simplify266.0ms (2%)

Memory

19.9MiB live, 248.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1943	21969
1	6311	21511
0	8287	18403

Stop Event

1×	iter limit
1×	node limit

Counts

291 → 291

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (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))))) (* (pow x.re 2) (* (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))))))))))))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (+ (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (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 (* (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))))))) (pow x.im 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4)))))) (pow x.im 2))) (+ (* (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)))) (+ (* -1/8 (/ (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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (pow x.im 2))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (+ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))))))) (pow x.im y.re))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (+ (* 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) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 6))) (* (cos (+ (* 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)))))))))))))))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (pow x.im 2))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (+ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))))))) (pow x.im y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))))
#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) #s(hole binary64 (* -1 x.im)))
#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) #s(hole binary64 (+ (* -1 x.im) (* -1/2 (/ (pow x.re 2) x.im)))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log x.im)))))
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#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (cos (* y.im (log x.im))) (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 2))))))))
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#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log x.im)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (* y.im (log x.im))))) (pow x.im 2))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))) (* (pow x.re 2) (+ (* 1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 6))) (* (cos (* y.im (log x.im))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))))))))))
#s(approx (/ (* x.im x.im) (pow x.re 3)) #s(hole binary64 (/ (pow x.im 2) (pow x.re 3))))
#s(approx (/ (* x.re x.re) x.im) #s(hole binary64 (/ (pow x.re 2) x.im)))
#s(approx (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)) #s(hole binary64 (/ (+ (* -1/4 y.re) (* 1/8 (pow y.re 2))) (pow x.re 4))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (/ (* (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))))))
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#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (* (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))) (+ (* 1/2 (/ (* (pow x.im 2) (* 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 2))) (* (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)))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* 1/4 (/ (* (pow x.im 4) (* y.im (* 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 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (* (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))) (+ (* 1/2 (/ (* (pow x.im 2) (* 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 2))) (+ (* (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))))) (+ (/ (* (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)))) (+ (* -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)))) (+ (* -1/4 (* (pow x.im 4) (* y.im (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) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* 1/4 (/ (* (pow x.im 4) (* y.im (* 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 4))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (* (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))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.im (* (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 6))) (+ (* 1/2 (/ (* (pow x.im 2) (* 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 2))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) (* y.im (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) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))))) (pow x.re 6))) (+ (* (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))))) (+ (/ (* (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)))) (+ (* -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)))) (* (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re)))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3))))))) (pow x.re 6)) (+ (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (* (pow x.im 4) (* y.im (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) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))))) (pow x.re 4)) (/ (* (exp (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))) (+ (* 1/8 (* (pow x.im 6) (* (pow y.im 2) (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))) (* (cos (+ (* -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)))))))))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (exp (* -1 (* y.re (log (/ 1 x.re)))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2))) (/ (* (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* -1/4 (* (pow x.im 4) y.re)) (* 1/8 (* (pow x.im 4) (pow y.re 2))))) (pow x.re 4))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ (exp (* -1 (* y.re (log (/ 1 x.re))))) (+ (* 1/2 (/ (* (pow x.im 2) (* y.re (exp (* -1 (* y.re (log (/ 1 x.re))))))) (pow x.re 2))) (+ (/ (* (exp (* -1 (* y.re (log (/ 1 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))))) (+ (* -1/8 (* (pow x.im 6) (pow y.re 2))) (+ (* 1/720 (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))))) (* 1/48 (* (pow x.im 6) (pow y.re 3)))))) (pow x.re 6)))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (+ (* -1 (* y.im (log (/ 1 x.re)))) (* y.re (atan2 x.im x.re))))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 1))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ 1 (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ 1 (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* 1/2 (* y.re (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (+ 1 (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* y.re (+ (* 1/6 (* y.re (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3))) (* 1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 1))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ 1 (* y.re (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* y.re (+ (* 1/6 (* y.re (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3))) (* 1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)))))))))
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#s(approx (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) #s(hole binary64 (* -1/4 y.re)))
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#s(approx (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)) #s(hole binary64 (* -1/4 (/ y.re (pow x.re 4)))))
#s(approx (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)) #s(hole binary64 (* y.re (- (* 1/8 (/ y.re (pow x.re 4))) (* 1/4 (/ 1 (pow x.re 4)))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* y.im (atan2 x.im x.re))))))
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#s(approx (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)) #s(hole binary64 (* 1/8 (/ (pow y.re 2) (pow x.re 4)))))
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#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* y.im (+ (* -1 (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* y.im (+ (* -1 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (* y.im (+ (* -1/6 (* (cos (* y.re (atan2 x.im x.re))) (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* -1/6 (* (sin (* y.re (atan2 x.im x.re))) (* (pow (atan2 x.im x.re) 3) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))) (+ (* 1/2 (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow (atan2 x.im x.re) 2) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))) (* 1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (* (sin (* y.re (atan2 x.im x.re))) (* (atan2 x.im x.re) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re))))))))))))) (* (cos (* y.re (atan2 x.im x.re))) (* (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))) (* (sin (* y.re (atan2 x.im x.re))) (pow (sqrt (+ (pow x.im 2) (pow x.re 2))) y.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (sin (* y.re (atan2 x.im x.re)))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* -1/2 (* y.im (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) #s(hole binary64 (+ (sin (* y.re (atan2 x.im x.re))) (* y.im (+ (* y.im (+ (* -1/2 (* (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2) (sin (* y.re (atan2 x.im x.re))))) (* -1/6 (* y.im (* (cos (* y.re (atan2 x.im x.re))) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))) (* (cos (* y.re (atan2 x.im x.re))) (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 1))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* -1/2 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* 1/24 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ 1 (* (pow y.im 2) (+ (* -1/2 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 2)) (* (pow y.im 2) (+ (* -1/720 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 6))) (* 1/24 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 4)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1/6 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* 1/120 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* (pow y.im 2) (+ (* -1/5040 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 7))) (* 1/120 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5))))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))

Outputs
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* 1/2 (/ (pow x.re 2) x.im)))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ x.im (* (pow x.re 2) (+ (* -1/8 (/ (pow x.re 2) (pow x.im 3))) (* 1/2 (/ 1 x.im)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 x.re x.re) x.im))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (+ 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)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 1/2 binary64) x.im)) (.f64 x.re x.re) x.im))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.re 2) (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))) (pow x.im 2))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (.f64 (/.f64 (.f64 (*.f64 x.re x.re) y.re) x.im) (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im)) #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (* (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)))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im) (/.f64 y.re x.im)) #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (fma.f64 (.f64 y.re y.re) #s(literal 1/8 binary64) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (.f64 x.re x.re))) (*.f64 x.re x.re) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(hole binary64 (+ (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re))))) (pow x.im 2))) (* (pow x.re 2) (+ (* (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))))) (* (pow x.re 2) (* (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))))))))))))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im) (/.f64 y.re x.im)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y.re y.re) (pow.f64 x.im #s(literal 6 binary64))) #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) y.re (.f64 #s(literal 1/48 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (.f64 x.re x.re) (.f64 (/.f64 (fma.f64 (.f64 y.re y.re) #s(literal 1/8 binary64) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (.f64 x.re x.re))) (*.f64 x.re x.re) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.im 2)))
#s(approx (+ (* x.re x.re) (* x.im x.im)) (*.f64 x.im x.im))
#s(approx (+ (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (pow x.im 2) (pow x.re 2))))
#s(approx (+ (* x.re x.re) (* x.im x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (* (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)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (* 1/2 (/ (* 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 2))))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))) y.im) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) y.re)) (.f64 x.im x.im))) (.f64 x.re x.re) (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(hole binary64 (+ (* (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.re 2) (+ (* 1/2 (/ (* y.im (* (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))) (+ (* 1/2 (/ (* 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 2))) (* (pow x.re 2) (+ (* 1/4 (/ (* y.im (* 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 4))) (+ (* (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)))))) (* (exp (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ (* y.im (cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))) (pow x.im 4))))))))))))))
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#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow.f64 x.im y.re))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (pow x.im y.re)))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow.f64 x.im y.re))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) (* y.re (pow x.im y.re))) (pow x.im 2))) (pow x.im y.re))))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 x.im y.re) y.re) x.im) (/.f64 (*.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))
#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re))))) (pow x.im y.re))))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (+ (* (pow x.re 2) (+ (* 1/2 (/ (* y.re (pow x.im y.re)) (pow x.im 2))) (* (pow x.re 2) (+ (* (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/8 (/ (pow y.re 2) (pow x.im 4)))) (pow x.im y.re)) (* (pow x.re 2) (* (+ (* -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))))) (pow x.im y.re))))))) (pow x.im y.re))))
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#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (fma.f64 (fma.f64 (/.f64 y.im (.f64 x.im x.im)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x.re x.re) y.im)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (+ (* 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)))))))))))
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#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) #s(hole binary64 (* -1 x.im)))
#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (neg.f64 x.im))
#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) #s(hole binary64 (+ (* -1 x.im) (* -1/2 (/ (pow x.re 2) x.im)))))
#s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) (neg.f64 x.im)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log x.im)))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos.f64 (*.f64 (log.f64 x.im) y.im)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (cos (* y.im (log x.im))) (* -1/2 (/ (* (pow x.re 2) (* y.im (sin (* y.im (log x.im))))) (pow x.im 2))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.im) (sin.f64 (.f64 (log.f64 x.im) y.im))) (.f64 x.im x.im)) #s(literal -1/2 binary64) (cos.f64 (.f64 (log.f64 x.im) y.im))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (cos (* y.im (log x.im))) (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/4 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 2))))))))
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#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (cos (* y.im (log x.im))) (* (pow x.re 2) (- (* (pow x.re 2) (- (+ (* -1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 4))) (* (pow x.re 2) (- (* 1/8 (/ (* (pow y.im 2) (cos (* y.im (log x.im)))) (pow x.im 6))) (* (sin (* y.im (log x.im))) (+ (* -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)))) (pow x.im 4))))) (* 1/2 (/ (* y.im (sin (* y.im (log x.im)))) (pow x.im 2))))))))
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#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log x.im)))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin.f64 (*.f64 (log.f64 x.im) y.im)))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* 1/2 (/ (* (pow x.re 2) (* y.im (cos (* y.im (log x.im))))) (pow x.im 2))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.im) (cos.f64 (.f64 (log.f64 x.im) y.im))) (.f64 x.im x.im)) #s(literal 1/2 binary64) (sin.f64 (.f64 (log.f64 x.im) y.im))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))))))))))
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#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (+ (sin (* y.im (log x.im))) (* (pow x.re 2) (+ (* 1/2 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ (* y.im (cos (* y.im (log x.im)))) (pow x.im 4))) (+ (* -1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 4))) (* (pow x.re 2) (+ (* 1/8 (/ (* (pow y.im 2) (sin (* y.im (log x.im)))) (pow x.im 6))) (* (cos (* y.im (log x.im))) (+ (* -1/48 (/ (pow y.im 3) (pow x.im 6))) (* 1/6 (/ y.im (pow x.im 6)))))))))))))))
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#s(approx (/ (* x.im x.im) (pow x.re 3)) #s(hole binary64 (/ (pow x.im 2) (pow x.re 3))))
#s(approx (/ (* x.im x.im) (pow x.re 3)) (*.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64)))))
#s(approx (/ (* x.re x.re) x.im) #s(hole binary64 (/ (pow x.re 2) x.im)))
#s(approx (/ (* x.re x.re) x.im) (/.f64 (*.f64 x.re x.re) x.im))
#s(approx (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)) #s(hole binary64 (/ (+ (* -1/4 y.re) (* 1/8 (pow y.re 2))) (pow x.re 4))))
#s(approx (/ (+ (* 1/8 (* y.re y.re)) (* -1/4 y.re)) (pow x.re 4)) (/.f64 (fma.f64 (.f64 y.re y.re) #s(literal 1/8 binary64) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64)) x.re))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* x.re (+ 1 (+ (* -1/8 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))))
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#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) #s(hole binary64 (* 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)))))))))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow.f64 x.re y.re))
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#s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) #s(hole binary64 (exp (* -1 (* y.re (log (/ -1 x.im)))))))
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#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* -1/6 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* 1/120 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5)))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 5 binary64)) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)))) (*.f64 y.im y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (* (pow y.im 2) (+ (* -1/6 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 3)) (* (pow y.im 2) (+ (* -1/5040 (* (pow y.im 2) (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 7))) (* 1/120 (pow (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) 5))))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 7 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 5 binary64)) #s(literal 1/120 binary64))) (.f64 y.im y.im) (.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)))) (*.f64 y.im y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* y.im (+ (log (sqrt (+ (pow x.im 2) (pow x.re 2)))) (/ (* y.re (atan2 x.im x.re)) y.im)))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (cos (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(hole binary64 (sin (* y.im (log (sqrt (+ (pow x.im 2) (pow x.re 2))))))))
#s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 (log (sqrt (+ (pow x.im 2) (pow x.re 2))))) (* -1 (/ (* y.re (atan2 x.im x.re)) y.im)))))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re)))) y.im)))

rewrite192.0ms (1.4%)

Memory

23.5MiB live, 208.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	860
0	157	720
1	484	715
0	3459	699

Stop Event

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

Counts

29 → 346

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(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 x.re x.re) (.f64 x.im x.im))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))
(sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re))
(pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))
(+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64)))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re))))
#s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))
#s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
#s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(/.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))
(sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (*.f64 x.re x.re) x.im)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))

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

eval130.0ms (1%)

Memory: -5.1MiB live, 191.4MiB allocated; 38ms collecting garbage
Compiler: Compiled 64 701 to 4 507 computations (93% saved)

prune158.0ms (1.2%)

Memory

-27.2MiB live, 160.9MiB allocated; 26ms collecting garbage

Pruning

59 alts after pruning (57 fresh and 2 done)

	Pruned	Kept	Total
New	655	18	673
Fresh	9	39	48
Picked	3	2	5
Done	0	0	0
Total	667	59	726

Accuracy

95.9%

Counts

726 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.2%	(fma.f64 (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	23.7%	(.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))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
	29.6%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
	62.0%	(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	44.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	25.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	43.5%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	18.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	20.0%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	16.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.re) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	19.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (.f64 (/.f64 x.re x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	7.3%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) #s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	15.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (.f64 (atan2.f64 x.im x.re) y.re))))))
	24.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	44.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
	54.5%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
	47.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	58.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	33.9%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y.re #s(literal 2 binary64))))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	23.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	32.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	29.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	13.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
	20.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	37.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.9%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	29.7%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	32.9%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	31.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	31.2%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	32.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	10.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	12.0%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (/.f64 (.f64 y.re (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (.f64 x.re x.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	16.3%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	15.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	8.7%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))) (.f64 x.re x.re)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	10.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
	13.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
	11.1%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 x.re x.re) y.im) x.im) (/.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) x.im)) #s(literal 1/2 binary64) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))))))
	22.3%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
	7.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
	7.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
	22.4%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	9.9%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	8.6%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	14.8%	(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	42.1%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	21.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (PI.f64)))))))
	9.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 3 binary64)) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))))))))
	51.3%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 #s(approx (pow (sqrt (+ ( x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	26.9%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (-.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (PI.f64))))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	30.7%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	28.8%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
	29.9%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
	28.0%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
	32.9%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 #s(approx (sin (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 x.im)) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
	42.1%	#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (/.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))

Compiler

Compiled 10 654 to 2 541 computations (76.1% saved)

regimes134.0ms (1%)

Memory

37.1MiB live, 179.0MiB allocated; 13ms collecting garbage

Counts

103 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
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#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 #s(approx (sin (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 x.im)) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 #s(approx (pow (sqrt (+ ( x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (neg.f64 y.im) (neg.f64 (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) x.re) (sin.f64 (fma.f64 (neg.f64 y.im) (neg.f64 (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 x.re x.re) y.im) x.im) (/.f64 (cos.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (.f64 (atan2.f64 x.im x.re) y.re))) x.im)) #s(literal 1/2 binary64) (sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (-.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (PI.f64))))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im)))))
(fma.f64 (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)))) y.im (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (PI.f64)))))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y.im) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64))) (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y.im (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (.f64 (sinh.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (atan2.f64 x.im x.re)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) y.im (.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (log.f64 (hypot.f64 x.im x.re))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) y.im (.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 3 binary64)) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64))))))))

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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

(*.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

Calls

5 calls:

28.0ms	y.im
26.0ms	x.im
26.0ms	x.re
25.0ms	y.re
20.0ms	(.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))) (sin.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))))

Results

Accuracy	Segments	Branch
72.9%	3	`(.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))) (sin.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))))`
70.4%	3	`x.re`
70.1%	3	`x.im`
78.4%	3	`y.re`
76.5%	4	`y.im`

Compiler

Compiled 41 to 35 computations (14.6% saved)

regimes33.0ms (0.2%)

Memory

-0.2MiB live, 45.6MiB allocated; 8ms collecting garbage

Counts

92 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
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(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 #s(approx (sin (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 x.im)) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 #s(approx (pow (sqrt (+ ( x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (neg.f64 y.im) (neg.f64 (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) x.re) (sin.f64 (fma.f64 (neg.f64 y.im) (neg.f64 (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 x.re x.re) y.im) x.im) (/.f64 (cos.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (.f64 (atan2.f64 x.im x.re) y.re))) x.im)) #s(literal 1/2 binary64) (sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

(*.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

Calls

1 calls:

22.0ms

y.re

Results

Accuracy	Segments	Branch
77.6%	3	`y.re`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes50.0ms (0.4%)

Memory

2.8MiB live, 54.6MiB allocated; 5ms collecting garbage

Counts

84 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
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(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (.f64 (/.f64 x.re x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
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(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
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#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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 (-.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))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.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 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))) (.f64 x.re x.re)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 x.re x.re) y.im) x.im) (/.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) x.im)) #s(literal 1/2 binary64) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(/.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 #s(approx (cos ( (atan2 x.im x.re) y.re)) #s(literal 1 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 #s(approx (sin (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im)))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 x.im)) y.im (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) y.im (sin.f64 (.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

(*.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 #s(approx (cos (* (atan2 x.im x.re) y.re)) #s(literal 1 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))

Calls

2 calls:

24.0ms	y.re
21.0ms	y.im

Results

Accuracy	Segments	Branch
73.9%	3	`y.im`
73.7%	4	`y.re`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes61.0ms (0.4%)

Memory

-5.7MiB live, 40.7MiB allocated; 3ms collecting garbage

Counts

77 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
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#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (/.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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 (-.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))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.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 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))) (.f64 x.re x.re)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 x.re x.re) y.im) x.im) (/.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) x.im)) #s(literal 1/2 binary64) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(/.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

(*.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

Calls

1 calls:

19.0ms

y.im

Results

Accuracy	Segments	Branch
73.5%	3	`y.im`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes28.0ms (0.2%)

Memory

-3.4MiB live, 40.3MiB allocated; 5ms collecting garbage

Counts

76 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
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(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
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#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (/.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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 (-.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))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re x.re) x.im) x.im))) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.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 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.re)) y.im))))) x.re) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (neg.f64 (log.f64 x.re)) y.im)))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))) (.f64 x.re x.re)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)))))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y.re y.re) (.f64 #s(literal -1/4 binary64) y.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 x.re x.re) y.im) x.im) (/.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) x.im)) #s(literal 1/2 binary64) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(/.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.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))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

(*.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

Calls

1 calls:

23.0ms

y.im

Results

Accuracy	Segments	Branch
73.1%	3	`y.im`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes68.0ms (0.5%)

Memory

-19.8MiB live, 81.1MiB allocated; 31ms collecting garbage

Counts

62 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
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(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (/.f64 (.f64 y.re (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (.f64 x.re x.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (/.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re)) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re))) y.im))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.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))) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re))) 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))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (*.f64 y.re #s(approx (cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

(*.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))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

Calls

3 calls:

31.0ms

y.re

19.0ms

y.im

13.0ms

(*.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))) (sin.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))))

Results

Accuracy	Segments	Branch
71.0%	4	`y.re`
65.4%	2	`(.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))) (sin.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))))`
71.9%	3	`y.im`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes18.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

54 → 4

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
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(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.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
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

Calls

1 calls:

14.0ms

y.im

Results

Accuracy	Segments	Branch
73.0%	4	`y.im`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes61.0ms (0.4%)

Memory

-8.6MiB live, 83.1MiB allocated; 7ms collecting garbage

Counts

48 → 4

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y.re #s(literal 2 binary64))))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) #s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (.f64 (/.f64 x.re x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.re) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (/.f64 (.f64 y.re (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (.f64 x.re x.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (/.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) 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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) #s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (/.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

4 calls:

18.0ms	y.im
14.0ms	x.im
12.0ms	x.re
12.0ms	y.re

Results

Accuracy	Segments	Branch
69.8%	4	`y.re`
60.8%	4	`x.im`
58.3%	2	`x.re`
68.3%	6	`y.im`

Compiler

Compiled 4 to 16 computations (-300% saved)

regimes17.0ms (0.1%)

Memory

-5.5MiB live, 40.1MiB allocated; 4ms collecting garbage

Counts

46 → 4

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y.re #s(literal 2 binary64))))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) #s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (.f64 (/.f64 x.re x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.re) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (/.f64 (.f64 y.re (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (.f64 x.re x.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

1 calls:

14.0ms

y.re

Results

Accuracy	Segments	Branch
69.7%	4	`y.re`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes73.0ms (0.5%)

Memory

-8.6MiB live, 43.0MiB allocated; 5ms collecting garbage

Counts

45 → 5

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y.re #s(literal 2 binary64))))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) #s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 (-.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (.f64 (/.f64 x.re x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.im) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.im) (/.f64 (.f64 x.re x.re) x.im) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (.f64 (neg.f64 x.re) (fma.f64 (/.f64 #s(literal 1/2 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re) #s(literal 1 binary64))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (.f64 #s(literal -1 binary64) y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (fma.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) #s(literal 1/2 binary64) (.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (fma.f64 (.f64 (pow.f64 x.re y.re) (/.f64 (/.f64 (.f64 y.re (fma.f64 #s(literal 1/8 binary64) y.re #s(literal -1/4 binary64))) (.f64 x.re x.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re y.re) y.re)) (.f64 x.re x.re))) (.f64 x.im x.im) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

3 calls:

48.0ms

y.im

12.0ms

y.re

9.0ms

(*.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))) (sin.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))))

Results

Accuracy	Segments	Branch
66.2%	5	`y.im`
60.6%	3	`(.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))) (sin.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))))`
60.6%	3	`y.re`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes47.0ms (0.3%)

Memory

-1.3MiB live, 44.2MiB allocated; 3ms collecting garbage

Counts

37 → 5

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y.re #s(literal 2 binary64))))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) #s(approx (* (neg x.im) (+ (* (/ 1/2 x.im) (/ (* x.re x.re) x.im)) 1)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re x.re) x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.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 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

4 calls:

16.0ms	x.re
10.0ms	y.im
10.0ms	y.re
8.0ms	(.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))) (sin.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))))

Results

Accuracy	Segments	Branch
53.4%	3	`x.re`
57.6%	4	`(.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))) (sin.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))))`
60.3%	4	`y.re`
62.9%	5	`y.im`

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes20.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Counts

32 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y.re #s(literal 2 binary64))))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (*.f64 (sin.f64 #s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))

Calls

2 calls:

9.0ms	y.im
9.0ms	x.im

Results

Accuracy	Segments	Branch
58.9%	3	`x.im`
58.6%	5	`y.im`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes24.0ms (0.2%)

Memory

-19.9MiB live, 26.1MiB allocated; 3ms collecting garbage

Counts

30 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 #s(approx (+ ( (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))

Outputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (*.f64 (log.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (*.f64 (sin.f64 #s(approx (+ (* (atan2 x.im x.re) y.re) (neg (* (neg (log x.im)) y.im))) (*.f64 (log.f64 x.im) y.im))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))

Calls

2 calls:

14.0ms	x.im
8.0ms	y.re

Results

Accuracy	Segments	Branch
56.1%	3	`y.re`
57.6%	3	`x.im`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes18.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Counts

29 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( x.re x.re) (* x.im x.im))) (neg.f64 x.re))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y.re))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

2 calls:

8.0ms	x.im
8.0ms	y.re

Results

Accuracy	Segments	Branch
56.1%	3	`y.re`
54.2%	3	`x.im`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

26 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
#s(approx (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (.f64 (neg.f64 (log.f64 x.im)) y.im)))) #s(approx (exp (- (neg (* (neg (log x.im)) y.re)) (* (atan2 x.im x.re) y.im))) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) (neg.f64 y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.im x.im) y.re) (pow.f64 x.re y.re)) (.f64 x.re x.re)) #s(literal 1/2 binary64) (pow.f64 x.re y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.re) (pow.f64 x.im y.re)) (.f64 x.im x.im)) #s(literal 1/2 binary64) (pow.f64 x.im y.re)))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

Outputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

1 calls:

7.0ms

y.re

Results

Accuracy	Segments	Branch
56.0%	3	`y.re`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes53.0ms (0.4%)

Memory

-15.9MiB live, 30.5MiB allocated; 2ms collecting garbage

Counts

16 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

5 calls:

33.0ms	y.re
5.0ms	y.im
5.0ms	x.im
5.0ms	x.re
4.0ms	(.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))) (sin.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))))

Results

Accuracy	Segments	Branch
44.0%	1	`x.re`
44.0%	1	`x.im`
47.5%	3	`y.im`
44.0%	1	`(.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))) (sin.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))))`
52.3%	3	`y.re`

Compiler

Compiled 41 to 35 computations (14.6% saved)

regimes6.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

15 → 4

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 1/2 binary64) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x.im)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x.re)) (.f64 x.im x.im) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal 1/2 binary64) x.re)) y.re)) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

1 calls:

4.0ms

y.re

Results

Accuracy	Segments	Branch
50.4%	4	`y.re`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes42.0ms (0.3%)

Memory

-30.5MiB live, 20.2MiB allocated; 4ms collecting garbage

Counts

10 → 5

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (log.f64 x.re) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))))

Outputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.re)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

5 calls:

28.0ms	x.im
3.0ms	x.re
3.0ms	y.re
3.0ms	y.im
3.0ms	(.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))) (sin.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))))

Results

Accuracy	Segments	Branch
32.1%	1	`(.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))) (sin.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))))`
41.7%	3	`x.re`
41.1%	3	`x.im`
39.2%	4	`y.im`
48.2%	5	`y.re`

Compiler

Compiled 41 to 35 computations (14.6% saved)

regimes3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

5 → 5

Calls

Call 1

Inputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) (neg.f64 x.im)) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

1 calls:

2.0ms

y.re

Results

Accuracy	Segments	Branch
47.2%	5	`y.re`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

3 → 4

Calls

Call 1

Inputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

1 calls:

2.0ms

y.re

Results

Accuracy	Segments	Branch
43.9%	4	`y.re`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

Outputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

Calls

5 calls:

1.0ms	y.re
1.0ms	x.im
1.0ms	y.im
1.0ms	x.re
1.0ms	(.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))) (sin.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))))

Results

Accuracy	Segments	Branch
14.8%	1	`(.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))) (sin.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))))`
18.2%	3	`y.im`
14.8%	1	`x.im`
16.7%	2	`x.re`
18.3%	2	`y.re`

Compiler

Compiled 41 to 35 computations (14.6% saved)

regimes6.0ms (0%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

(*.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Calls

5 calls:

1.0ms	x.im
1.0ms	y.re
1.0ms	y.im
1.0ms	x.re
1.0ms	(.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))) (sin.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))))

Results

Accuracy	Segments	Branch
10.4%	1	`(.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))) (sin.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))))`
10.4%	1	`x.im`
10.4%	1	`y.im`
10.4%	1	`x.re`
10.4%	1	`y.re`

Compiler

Compiled 41 to 35 computations (14.6% saved)

bsearch96.0ms (0.7%)

Memory

-28.1MiB live, 62.0MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	4.956892662854578e-13	5541.131344376536
19.0ms	-5.2923196850212685e+38	-3.76494480380809e+38

Samples

53.0ms	150×	0	valid
28.0ms	58×	1	valid

Compiler

Compiled 1 683 to 941 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 41.0ms (56% of total)

ival-hypot: 13.0ms (17.8% of total)

ival-sin: 5.0ms (6.8% of total)

ival-log: 4.0ms (5.5% of total)

adjust: 3.0ms (4.1% of total)

ival-exp: 2.0ms (2.7% of total)

ival-atan2: 2.0ms (2.7% of total)

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

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

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

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

bsearch4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	4.956892662854578e-13	5541.131344376536
1.0ms	-5.2923196850212685e+38	-3.76494480380809e+38

Compiler

Compiled 1 704 to 959 computations (43.7% saved)

bsearch411.0ms (3%)

Memory

-49.7MiB live, 87.7MiB allocated; 697ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	0.02972182429204909	4525780215.2385
33.0ms	-3.973990320663538e+28	-1.565401381292152e+27

Samples

43.0ms	150×	0	valid
40.0ms	122×	1	valid

Compiler

Compiled 2 292 to 1 292 computations (43.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 11.0ms (22% of total)

ival-hypot: 8.0ms (16% of total)

ival-sin: 8.0ms (16% of total)

adjust: 6.0ms (12% of total)

ival-log: 6.0ms (12% of total)

ival-atan2: 4.0ms (8% of total)

ival-exp: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

ival-sub: 2.0ms (4% of total)

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

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

bsearch30.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.02972182429204909	4525780215.2385
1.0ms	-3.973990320663538e+28	-1.565401381292152e+27

Samples

10.0ms	29×	1	valid
9.0ms	67×	0	valid

Compiler

Compiled 2 472 to 1 342 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 4.0ms (25% of total)

ival-sin: 3.0ms (18.7% of total)

adjust: 2.0ms (12.5% of total)

ival-hypot: 2.0ms (12.5% of total)

ival-log: 2.0ms (12.5% of total)

ival-add: 1.0ms (6.2% of total)

ival-exp: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

ival-atan2: 1.0ms (6.2% of total)

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

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

bsearch19.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.02972182429204909	4525780215.2385
15.0ms	-3.973990320663538e+28	-1.565401381292152e+27

Samples

9.0ms	28×	1	valid
2.0ms	20×	0	valid

Compiler

Compiled 2 325 to 1 272 computations (45.3% saved)

Precisions

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

ival-mult: 2.0ms (20.9% of total)

ival-hypot: 2.0ms (20.9% of total)

adjust: 1.0ms (10.4% of total)

ival-atan2: 1.0ms (10.4% of total)

ival-log: 1.0ms (10.4% of total)

ival-sin: 1.0ms (10.4% of total)

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

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

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

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

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

bsearch33.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	4.884442580113305e-49	1.2398765856311375e-42
1.0ms	-3.973990320663538e+28	-1.565401381292152e+27

Samples

14.0ms	123×	0	valid
8.0ms	21×	1	valid

Compiler

Compiled 1 880 to 1 095 computations (41.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 5.0ms (29% of total)

ival-hypot: 3.0ms (17.4% of total)

ival-atan2: 2.0ms (11.6% of total)

ival-log: 2.0ms (11.6% of total)

ival-sin: 2.0ms (11.6% of total)

ival-add: 1.0ms (5.8% of total)

adjust: 1.0ms (5.8% of total)

ival-exp: 1.0ms (5.8% of total)

ival-sub: 1.0ms (5.8% of total)

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

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

bsearch191.0ms (1.4%)

Memory

-1.2MiB live, 243.1MiB allocated; 29ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
70.0ms	1.532147770196271e+236	2.212316362670581e+241
41.0ms	0.02972182429204909	4525780215.2385
67.0ms	-1.565401381292152e+27	-41382349731565304.0

Samples

88.0ms	220×	1	valid
70.0ms	228×	0	valid

Compiler

Compiled 3 284 to 1 865 computations (43.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 48.0ms (33.9% of total)

ival-log: 30.0ms (21.2% of total)

ival-sin: 20.0ms (14.1% of total)

ival-hypot: 15.0ms (10.6% of total)

adjust: 12.0ms (8.5% of total)

ival-atan2: 6.0ms (4.2% of total)

ival-exp: 5.0ms (3.5% of total)

ival-add: 3.0ms (2.1% of total)

ival-sub: 3.0ms (2.1% of total)

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

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

bsearch149.0ms (1.1%)

Memory

11.2MiB live, 197.6MiB allocated; 21ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	9.96644180808018e-70	4.911938920965839e-67
32.0ms	-2.743592753387678e-86	-9.039160314052357e-88
76.0ms	-6.680213253652022e-21	-1.1685388853619529e-29

Samples

90.0ms	129×	1	valid
33.0ms	255×	0	valid

Compiler

Compiled 3 129 to 1 477 computations (52.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

adjust: 45.0ms (42.1% of total)

ival-mult: 18.0ms (16.8% of total)

ival-hypot: 15.0ms (14% of total)

ival-log: 9.0ms (8.4% of total)

ival-sin: 7.0ms (6.6% of total)

ival-exp: 4.0ms (3.7% of total)

ival-atan2: 4.0ms (3.7% of total)

ival-add: 2.0ms (1.9% of total)

ival-sub: 2.0ms (1.9% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-39.1MiB live, 7.6MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.96644180808018e-70	4.911938920965839e-67
1.0ms	-2.743592753387678e-86	-9.039160314052357e-88
7.0ms	-6.680213253652022e-21	-1.1685388853619529e-29

Compiler

Compiled 2 574 to 1 477 computations (42.6% saved)

bsearch173.0ms (1.3%)

Memory

37.2MiB live, 271.7MiB allocated; 19ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.02972182429204909	4525780215.2385
37.0ms	3.763772176838379e-143	2.733229949172582e-131
39.0ms	-1.6697985436105675e-184	-1.7216500060922758e-202
59.0ms	-94187708028588.9	-13955256.606722329

Samples

55.0ms	421×	0	valid
48.0ms	135×	1	valid
3.0ms	4×	2	valid

Compiler

Compiled 3 787 to 2 089 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 23.0ms (26.5% of total)

ival-sin: 14.0ms (16.1% of total)

ival-hypot: 13.0ms (15% of total)

ival-log: 10.0ms (11.5% of total)

adjust: 8.0ms (9.2% of total)

ival-atan2: 6.0ms (6.9% of total)

ival-add: 5.0ms (5.8% of total)

ival-exp: 5.0ms (5.8% of total)

ival-sub: 3.0ms (3.5% of total)

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

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

bsearch103.0ms (0.8%)

Memory

-21.5MiB live, 82.8MiB allocated; 12ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
70.0ms	1.6481369595892278e+94	4.693124107493877e+96
1.0ms	3.763772176838379e-143	2.733229949172582e-131
1.0ms	-1.6697985436105675e-184	-1.7216500060922758e-202
25.0ms	-94187708028588.9	-13955256.606722329

Samples

51.0ms	121×	0	valid
29.0ms	87×	1	valid

Compiler

Compiled 3 669 to 1 964 computations (46.5% saved)

Precisions

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

ival-mult: 8.0ms (21.8% of total)

ival-hypot: 6.0ms (16.4% of total)

adjust: 5.0ms (13.6% of total)

ival-log: 5.0ms (13.6% of total)

ival-sin: 5.0ms (13.6% of total)

ival-atan2: 3.0ms (8.2% of total)

ival-exp: 2.0ms (5.5% of total)

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

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

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

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

bsearch85.0ms (0.6%)

Memory

-2.1MiB live, 90.8MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	5.084095088679685e-186	9.040150317392876e-183
37.0ms	-6.048396419416433e-19	-2.7801856542497796e-20

Samples

33.0ms	97×	1	valid
24.0ms	141×	0	valid
2.0ms	2×	2	valid

Compiler

Compiled 1 680 to 906 computations (46.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 17.0ms (34% of total)

ival-hypot: 7.0ms (14% of total)

ival-log: 6.0ms (12% of total)

ival-sin: 6.0ms (12% of total)

adjust: 5.0ms (10% of total)

ival-atan2: 3.0ms (6% of total)

ival-exp: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

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

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

bsearch49.0ms (0.4%)

Memory

-7.7MiB live, 48.8MiB allocated; 17ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	7.27159658273096e-226	2.9754716589787905e-218
1.0ms	-6.048396419416433e-19	-2.7801856542497796e-20

Samples

18.0ms	52×	1	valid
10.0ms	91×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 1 792 to 970 computations (45.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 6.0ms (25.1% of total)

ival-hypot: 4.0ms (16.8% of total)

adjust: 3.0ms (12.6% of total)

ival-log: 3.0ms (12.6% of total)

ival-sin: 3.0ms (12.6% of total)

ival-atan2: 2.0ms (8.4% of total)

ival-exp: 1.0ms (4.2% of total)

ival-sub: 1.0ms (4.2% of total)

ival-add: 1.0ms (4.2% of total)

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

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

bsearch125.0ms (0.9%)

Memory

-12.6MiB live, 125.2MiB allocated; 15ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	1.1696814373927019e-167	4.361848459610144e-161
44.0ms	-1.9239582675935054e-15	-6.680213253652022e-21

Samples

78.0ms	87×	1	valid
24.0ms	201×	0	valid

Compiler

Compiled 2 092 to 1 121 computations (46.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-log: 43.0ms (46.9% of total)

ival-hypot: 19.0ms (20.7% of total)

ival-mult: 11.0ms (12% of total)

adjust: 5.0ms (5.5% of total)

ival-sin: 5.0ms (5.5% of total)

ival-exp: 3.0ms (3.3% of total)

ival-atan2: 3.0ms (3.3% of total)

ival-add: 2.0ms (2.2% of total)

ival-sub: 2.0ms (2.2% of total)

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

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

bsearch34.0ms (0.3%)

Memory

18.6MiB live, 70.0MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5541.131344376536	208952.46444817094
1.0ms	-1.9239582675935054e-15	-6.680213253652022e-21

Samples

12.0ms	33×	1	valid
11.0ms	79×	0	valid

Compiler

Compiled 1 832 to 967 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 4.0ms (21.7% of total)

ival-hypot: 3.0ms (16.3% of total)

ival-log: 3.0ms (16.3% of total)

ival-sin: 3.0ms (16.3% of total)

adjust: 2.0ms (10.8% of total)

ival-add: 1.0ms (5.4% of total)

ival-exp: 1.0ms (5.4% of total)

ival-sub: 1.0ms (5.4% of total)

ival-atan2: 1.0ms (5.4% of total)

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

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

bsearch60.0ms (0.4%)

Memory

20.6MiB live, 114.4MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.96644180808018e-70	4.911938920965839e-67
36.0ms	-2.735100575189048e-175	-3.58414592734718e-181

Samples

27.0ms	76×	1	valid
17.0ms	132×	0	valid

Compiler

Compiled 1 859 to 992 computations (46.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 9.0ms (25.2% of total)

ival-hypot: 6.0ms (16.8% of total)

ival-log: 5.0ms (14% of total)

adjust: 4.0ms (11.2% of total)

ival-sin: 4.0ms (11.2% of total)

ival-atan2: 3.0ms (8.4% of total)

ival-exp: 2.0ms (5.6% of total)

ival-add: 1.0ms (2.8% of total)

ival-sub: 1.0ms (2.8% of total)

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

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

bsearch85.0ms (0.6%)

Memory

-38.2MiB live, 107.4MiB allocated; 14ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.1696814373927019e-167	4.361848459610144e-161
1.0ms	-2.735100575189048e-175	-3.58414592734718e-181
23.0ms	-515.3275509537647	-43.8382599791366

Samples

21.0ms	140×	0	valid
18.0ms	52×	1	valid

Compiler

Compiled 2 869 to 1 466 computations (48.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 7.0ms (22% of total)

ival-log: 7.0ms (22% of total)

ival-hypot: 5.0ms (15.7% of total)

ival-sin: 4.0ms (12.6% of total)

adjust: 3.0ms (9.4% of total)

ival-exp: 2.0ms (6.3% of total)

ival-atan2: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.1% of total)

ival-sub: 1.0ms (3.1% of total)

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

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

bsearch98.0ms (0.7%)

Memory

8.7MiB live, 151.6MiB allocated; 15ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	9.96644180808018e-70	4.911938920965839e-67
1.0ms	-2.735100575189048e-175	-3.58414592734718e-181
37.0ms	-1.902423319590013e-9	-1.9239582675935054e-15
45.0ms	-2.8687104867656657e+118	-1.666504172919656e+116

Samples

48.0ms	91×	1	valid
22.0ms	181×	0	valid

Compiler

Compiled 3 786 to 1 894 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

adjust: 22.0ms (36.5% of total)

ival-mult: 11.0ms (18.2% of total)

ival-hypot: 7.0ms (11.6% of total)

ival-log: 6.0ms (9.9% of total)

ival-sin: 5.0ms (8.3% of total)

ival-exp: 3.0ms (5% of total)

ival-atan2: 3.0ms (5% of total)

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

ival-sub: 1.0ms (1.7% of total)

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

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

bsearch69.0ms (0.5%)

Memory

20.7MiB live, 107.2MiB allocated; 7ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.96644180808018e-70	4.911938920965839e-67
1.0ms	-2.735100575189048e-175	-3.58414592734718e-181
62.0ms	-5.409083944256057e+22	-1637125191061.1262
1.0ms	-2.8687104867656657e+118	-1.666504172919656e+116

Samples

39.0ms	114×	0	valid
16.0ms	46×	1	valid

Compiler

Compiled 3 882 to 1 933 computations (50.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 26.0ms (55.1% of total)

ival-mult: 6.0ms (12.7% of total)

ival-hypot: 4.0ms (8.5% of total)

ival-sin: 4.0ms (8.5% of total)

adjust: 2.0ms (4.2% of total)

ival-atan2: 2.0ms (4.2% of total)

ival-add: 1.0ms (2.1% of total)

ival-exp: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

bsearch66.0ms (0.5%)

Memory

1.7MiB live, 98.4MiB allocated; 34ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	9.97201585714614e-32	9.651307682216417e-27
1.0ms	-2.735100575189048e-175	-3.58414592734718e-181
1.0ms	-515.3275509537647	-43.8382599791366

Samples

34.0ms	42×	1	valid
20.0ms	102×	0	valid

Compiler

Compiled 2 764 to 1 406 computations (49.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 20.0ms (41.1% of total)

ival-mult: 13.0ms (26.7% of total)

ival-hypot: 4.0ms (8.2% of total)

ival-log: 3.0ms (6.2% of total)

ival-sin: 3.0ms (6.2% of total)

adjust: 2.0ms (4.1% of total)

ival-atan2: 2.0ms (4.1% of total)

ival-exp: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.735100575189048e-175	-3.58414592734718e-181

Compiler

Compiled 1 066 to 563 computations (47.2% saved)

simplify88.0ms (0.6%)

Memory

-23.2MiB live, 117.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	4306
1	369	4244
2	526	4244
3	784	4244
4	1541	4244

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 y.re #s(literal -379999999999999980111797770245780799488 binary64)) (.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (if (<=.f64 y.re #s(literal 27 binary64)) #s(approx ( (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
(if (<=.f64 y.re #s(literal -379999999999999980111797770245780799488 binary64)) (.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (if (<=.f64 y.re #s(literal 27 binary64)) #s(approx ( (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
(if (<=.f64 y.im #s(literal -1600000000000000076235669504 binary64)) (.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (if (<=.f64 y.im #s(literal 7000 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 #s(approx (cos ( (atan2 x.im x.re) y.re)) #s(literal 1 binary64)) (log.f64 (hypot.f64 x.im x.re))) y.im (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(if (<=.f64 y.im #s(literal -1600000000000000076235669504 binary64)) (.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))) #s(approx (sin (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (if (<=.f64 y.im #s(literal 1050 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
(if (<=.f64 y.im #s(literal -2000000000000000026575110144 binary64)) (.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (if (<=.f64 y.im #s(literal 1050 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (.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))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) #s(approx (sin (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
(if (<=.f64 y.im #s(literal -2000000000000000026575110144 binary64)) (.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))) (sin.f64 #s(approx (+ ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (if (<=.f64 y.im #s(literal 4770597318893877/25108406941546723055343157692830665664409421777856138051584 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (fma.f64 (.f64 y.re #s(approx (cos ( (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im)) #s(literal 1 binary64))) (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (.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))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
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(if (<=.f64 y.re #s(literal -590000000000000000431052617253389686828229915712940784275486918881342185184123439286529383252374301234908997619810304 binary64)) (.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 y.re #s(literal -1650000000000 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 y.re #s(literal -467650163306275/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 y.re #s(literal 6605074233567479/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.re) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 y.re #s(literal -45 binary64)) (.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 y.re #s(literal -467650163306275/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 y.re #s(literal 6779426540353309/713623846352979940529142984724747568191373312 binary64)) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (pow.f64 #s(approx (sqrt (+ (* x.re x.re) (* x.im x.im))) x.im) y.re)) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(if (<=.f64 y.re #s(literal -467650163306275/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 #s(approx (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) #s(approx (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 #s(approx (exp (- ( (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) #s(approx (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) #s(literal 1 binary64))) (sin.f64 #s(approx (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
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derivations1.0s (7.5%)

Memory

81.6MiB live, 952.3MiB allocated; 212ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 4 302 to 277 computations (93.6% saved)

preprocess139.0ms (1%)

Memory: 1.0MiB live, 181.0MiB allocated; 34ms collecting garbage
Compiler: Compiled 8 678 to 592 computations (93.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage