Metrics for powComplex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze648.0ms (12.5%)

Memory

38.2MiB live, 488.0MiB allocated; 671ms 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)

sample2.5s (47.6%)

Memory

38.4MiB live, 2 678.1MiB allocated; 614ms collecting garbage

Samples

1.2s	2 832×	1	valid
708.0ms	5 360×	0	valid
50.0ms	64×	2	valid

Precisions

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

ival-mult: 385.0ms (24.1% of total)

ival-hypot: 259.0ms (16.2% of total)

ival-sin: 248.0ms (15.5% of total)

ival-log: 223.0ms (13.9% of total)

adjust: 178.0ms (11.1% of total)

ival-atan2: 116.0ms (7.3% of total)

ival-exp: 84.0ms (5.3% of total)

ival-sub: 52.0ms (3.3% of total)

ival-add: 51.0ms (3.2% of total)

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

Bogosity

explain589.0ms (11.3%)

Memory

-1.6MiB live, 527.2MiB allocated; 49ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
183	0	-	0	-	`(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)))`
141	0	-	4	(-4.3452858687723404e-156 4.514202306394135e-262 -8.563969054669718e-196 4.1371833429853984e-137)	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`
7	0	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.re)`
3	0	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.im)`
1	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	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`
0	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	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))`
0	0	-	0	-	`(atan2.f64 x.im x.re)`
0	0	-	0	-	`(*.f64 x.re x.re)`
0	1	(-3.3377209971756155e-80 -1.9059915529778988e+287 5.260808856642983e+181 -2.227792333708649e+184)	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	-	0	-	`x.re`
0	0	-	0	-	`x.im`
0	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	-	0	-	`(*.f64 x.im x.im)`
0	0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)`
0	0	-	0	-	`y.re`
0	0	-	0	-	`y.im`
0	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	183	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	oflow-rescue	120	0
↳	`(*.f64 x.re x.re)`	overflow	76
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	120
↳	`(*.f64 x.im x.im)`	overflow	57
`*.f64`	`(*.f64 (atan2.f64 x.im x.re) y.re)`	*nu**	2	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	uflow-rescue	2	0
↳	`(*.f64 x.re x.re)`	underflow	61
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	underflow	17
↳	`(*.f64 x.im x.im)`	underflow	60
`exp.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)))`	sensitivity	1	0
`-.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))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	167	1
-	52	36

Precision

0.7625570776255708

Recall

0.9940476190476191

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	0	1
-	52	0	36

Precision?

0.7625570776255708

Recall?

0.9940476190476191

Freqs

test

number	freq
0	37
1	131
2	86
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

155.0ms	346×	1	valid
85.0ms	154×	0	valid
11.0ms	12×	2	valid

Compiler

Compiled 393 to 61 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-mult: 93.0ms (44.4% of total)

ival-hypot: 24.0ms (11.5% of total)

adjust: 23.0ms (11% of total)

ival-sin: 22.0ms (10.5% of total)

ival-log: 18.0ms (8.6% of total)

ival-atan2: 11.0ms (5.2% of total)

ival-add: 8.0ms (3.8% of total)

ival-exp: 5.0ms (2.4% of total)

ival-sub: 4.0ms (1.9% of total)

ival-true: 1.0ms (0.5% of total)

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

preprocess50.0ms (1%)

Memory

14.8MiB live, 59.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	575
1	399	556
2	1094	552
3	2825	550
0	24	37
0	32	37
0	32	37

Stop Event

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

Calls

Call 1

Inputs

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

Compiler

Compiled 37 to 19 computations (48.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.9%	(.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 (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

▶

34.9%

(*.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 (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)

series775.0ms (14.9%)

Memory

-13.8MiB live, 222.1MiB allocated; 39ms collecting garbage

Counts

19 → 272

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
#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 (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 (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (* y.re (log x.im)) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* 1/2 (/ (* (pow x.re 2) y.re) (pow x.im 2))) (* y.re (log x.im))) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2)))))) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6)))))))) (* y.im (atan2 x.im x.re)))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (* y.re (log x.im))))
#s(approx (* (log (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 2))) (* y.re (log x.im)))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* -1/4 (/ (* (pow x.re 2) y.re) (pow x.im 4))) (* 1/2 (/ y.re (pow x.im 2))))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* y.re (log x.im)) (* (pow x.re 2) (+ (* 1/2 (/ y.re (pow x.im 2))) (* (pow x.re 2) (+ (* -1/4 (/ y.re (pow x.im 4))) (* 1/6 (/ (* (pow x.re 2) y.re) (pow x.im 6))))))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (log x.im)))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (log x.im) (* 1/2 (/ (pow x.re 2) (pow x.im 2))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (log x.im) (* (pow x.re 2) (+ (* -1/4 (/ (pow x.re 2) (pow x.im 4))) (* 1/2 (/ 1 (pow x.im 2))))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (log x.im) (* (pow x.re 2) (+ (* (pow x.re 2) (- (* 1/6 (/ (pow x.re 2) (pow x.im 6))) (* 1/4 (/ 1 (pow x.im 4))))) (* 1/2 (/ 1 (pow x.im 2))))))))
#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))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx x.re #s(hole binary64 x.re))
#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) #s(hole binary64 (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))))))
#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 (+ (* (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 (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (* y.im (log x.im))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.re 2) y.im) (pow x.im 2))) (* y.im (log x.im)))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (+ (* y.im (log x.im)) (* (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) #s(hole binary64 (+ (* y.im (log x.im)) (* (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 (* (atan2 x.im x.re) y.re) #s(hole binary64 (* 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 (- (* -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 (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 (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (* -1 (* y.re (log (/ 1 x.re)))) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (* -1 (* y.re (log (/ 1 x.re))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* -1 (* y.re (log (/ 1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2)))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* -1 (* y.re (log (/ 1 x.re)))) (+ (* -1/4 (/ (* (pow x.im 4) y.re) (pow x.re 4))) (+ (* 1/720 (/ (* y.re (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6)))) (pow x.re 6))) (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (* -1 (log (/ 1 x.re)))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (* -1 (log (/ 1 x.re))) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (* 1/2 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (* -1 (log (/ 1 x.re))) (+ (* -1/4 (/ (pow x.im 4) (pow x.re 4))) (+ (* 1/720 (/ (+ (* 30 (pow x.im 6)) (* 90 (pow x.im 6))) (pow x.re 6))) (* 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))
#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 (+ (* 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 (+ (* (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 (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (* -1 (* y.im (log (/ -1 x.re))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (+ (* -1 (* y.im (log (/ -1 x.re)))) (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #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)))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #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))))))))
#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.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log 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 (+ (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.re)) (* y.re (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)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.re)) (* y.re (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))) (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.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.re)) (* y.re (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)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))) (* (pow x.im 2) (+ (* 1/4 (/ (* y.im (* y.re (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))))) (pow x.re 4))) (+ (* (exp (- (* y.re (log x.re)) (* 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)))))) (* (exp (- (* y.re (log x.re)) (* 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))))))))))))))
#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.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.re)) (* y.re (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)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))) (pow x.re 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))))) (pow x.re 2))) (* (pow x.im 2) (+ (* 1/4 (/ (* y.im (* y.re (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))))) (pow x.re 4))) (+ (* (exp (- (* y.re (log x.re)) (* 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)))))) (+ (* (exp (- (* y.re (log x.re)) (* 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.im 2) (+ (* 1/2 (/ (* y.im (* (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* (exp (- (* y.re (log x.re)) (* y.im (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 2))) (+ (* 1/2 (/ (* y.re (* (exp (- (* y.re (log x.re)) (* 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 2))) (+ (* (exp (- (* y.re (log x.re)) (* 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))))))) (* (exp (- (* y.re (log x.re)) (* 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)))))))))))))))))))))
#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))))))
#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))))))
#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)))) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))) (pow x.re 2))) (* (pow x.im 2) (* (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/8 (/ (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 (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))) (* (pow x.im 2) (+ (* 1/2 (/ (* y.re (exp (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re))))) (pow x.re 2))) (* (pow x.im 2) (+ (* (exp (- (* y.re (log x.re)) (* y.im (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.im 2) (* (exp (- (* y.re (log x.re)) (* y.im (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))))))))))))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (* y.re (log x.re)) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re))) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2)))))) (* y.im (atan2 x.im x.re)))))
#s(approx (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) #s(hole binary64 (- (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6)))))))) (* y.im (atan2 x.im x.re)))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (* y.re (log x.re))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.im 2) y.re) (pow x.re 2))) (* y.re (log x.re)))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.re) (pow x.re 4))) (* 1/2 (/ y.re (pow x.re 2))))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) #s(hole binary64 (+ (* y.re (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.re (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.re (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.re) (pow x.re 6))))))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (log x.re)))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (log x.re) (* 1/2 (/ (pow x.im 2) (pow x.re 2))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (log x.re) (* (pow x.im 2) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 4))) (* 1/2 (/ 1 (pow x.re 2))))))))
#s(approx (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) #s(hole binary64 (+ (log x.re) (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/6 (/ (pow x.im 2) (pow x.re 6))) (* 1/4 (/ 1 (pow x.re 4))))) (* 1/2 (/ 1 (pow x.re 2))))))))
#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)))))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole binary64 x.im))
#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.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 (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (* 1/2 (/ (* (pow x.im 2) (* y.im (cos (+ (* y.im (log 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 (+ (* y.im (log x.re)) (* y.re (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))))) (pow x.re 2))) (* (pow x.im 2) (+ (* -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))))))))))
#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.re)) (* y.re (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))))) (pow x.re 2))) (* (pow x.im 2) (+ (* -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.im 2) (+ (* 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)))))))))))))))
#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.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 (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (+ (* y.im (log 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 (+ (* y.im (log x.re)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2)))))))))
#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.re)) (+ (* y.re (atan2 x.im x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6)))))))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (* y.im (log x.re))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (+ (* 1/2 (/ (* (pow x.im 2) y.im) (pow x.re 2))) (* y.im (log x.re)))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* -1/4 (/ (* (pow x.im 2) y.im) (pow x.re 4))) (* 1/2 (/ y.im (pow x.re 2))))))))
#s(approx (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) #s(hole binary64 (+ (* y.im (log x.re)) (* (pow x.im 2) (+ (* 1/2 (/ y.im (pow x.re 2))) (* (pow x.im 2) (+ (* -1/4 (/ y.im (pow x.re 4))) (* 1/6 (/ (* (pow x.im 2) y.im) (pow x.re 6))))))))))
#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.im)))) (* y.im (atan2 x.im x.re)))) (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.re) #s(hole binary64 (* y.re (log (sqrt (+ (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))) #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 (+ (* (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
531.0ms	y.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)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im y.re (* (atan2 x.im x.re) y.im) (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)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
92.0ms	x.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)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im y.re (* (atan2 x.im x.re) y.im) (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)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
46.0ms	y.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)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im y.re (* (atan2 x.im x.re) y.im) (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)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
14.0ms	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)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im y.re (* (atan2 x.im x.re) y.im) (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)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
13.0ms	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)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im y.re (* (atan2 x.im x.re) y.im) (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)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))

rewrite665.0ms (12.8%)

Memory

20.2MiB live, 113.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1850	20532
1	2398	20530
2	2401	20530
3	2404	20530
4	2405	20530
5	2406	20530
6	2408	20530
7	2410	20530
8	2412	20530
9	2413	20530
0	2413	20530
0	2413	20392
1	2959	20386
2	3359	20386
3	3777	20386
4	4112	20386
5	4371	20386
6	4560	20386
7	4679	20386
8	4788	20386
9	4864	20386
10	4921	20386
11	4966	20386
12	5003	20386
13	5017	20386

Stop Event

1×	saturated
1×	node limit
1×	saturated

end0.0ms (0%)

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

start0.0ms (0%)

analyze648.0ms (12.5%)

sample2.5s (47.6%)

explain589.0ms (11.3%)

preprocess50.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

series775.0ms (14.9%)

rewrite665.0ms (12.8%)

end0.0ms (0%)

Profiling