Details

analyze419.0ms (1.8%)

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
15.6%	15.6%	84.2%	0.2%	0%	0%	0%	6
23.4%	23.4%	76.4%	0.2%	0%	0%	0%	7
26.6%	26.5%	73.3%	0.2%	0%	0%	0%	8
35.5%	35.5%	64.3%	0.2%	0%	0%	0%	9
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	10
46.4%	46.3%	53.5%	0.2%	0%	0%	0%	11
46.9%	46.8%	53%	0.2%	0%	0%	0%	12

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample4.5s (19.2%)

Results

1.9s	7909×	body	256	valid
1.6s	2466×	body	1024	infinite
422.0ms	1003×	body	512	infinite
298.0ms	1062×	body	256	infinite
144.0ms	203×	body	1024	valid
55.0ms	132×	body	512	valid
26.0ms	29×	body	2048	infinite
11.0ms	12×	body	2048	valid

Bogosity

preprocess65.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

514×	`associate-l_binary64`
486×	`associate-r_binary64`
392×	`times-frac_binary64`
391×	`associate-/l*_binary64`
372×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	280
1	223	266
2	443	266
3	736	266
4	1769	266
5	7248	266
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
457×	`associate-/l*_binary64`
323×	`pow-sqr_binary64`
322×	`associate-/r*_binary64`
282×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	39	38
2	76	38
3	126	38
4	286	38
5	1102	38
6	4153	38
7	5785	38
8	6380	38
9	7366	38

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

Compiler: Compiled 142 to 40 computations (71.8% saved)

prune6.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	5	5
Fresh	1	1
Picked	0	0
Done	0	0
Total	6	6

Error

3.4b

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	3.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	36.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 316 to 158 computations (50% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.4b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 108 to 15 computations (86.1% saved)

series337.0ms (1.4%)

Counts

4 → 80

Calls

39 calls:

Time	Variable		Point	Expression
48.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
46.0ms	x.re	@	-inf	(*.f64 (atan2.f64 x.im x.re) y.im)
46.0ms	x.im	@	inf	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
34.0ms	x.re	@	0	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
22.0ms	x.im	@	-inf	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 12161 to 9179 computations (24.5% saved)

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
336×	`pow2_binary64`
253×	`prod-diff_binary64`
239×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	253	41
2	3015	41

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (fma.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 1)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 1)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 1))))))

simplify122.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-r_binary64`
551×	`associate-l_binary64`
483×	`fma-def_binary64`
447×	`*-commutative_binary64`
237×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	7202
1	1832	6103
2	7347	6103

Stop Event

1×	node limit

Counts

159 → 280

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.im)))) (pow.f64 x.re 4))))
(+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 3)) (.f64 1/720 (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3)))) y.im)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.im)))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (/.f64 1 x.re) 2) y.im)))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))
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(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1))
(+.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 0 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))) 1)
(pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 1))

Outputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (fabs.f64 x.im)) y.im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 y.im (.f64 x.re x.re)))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (*.f64 x.im x.im))) y.im))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 y.im x.re) x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (fabs.f64 x.im)) y.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.im)))) (pow.f64 x.re 4))))
(+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 y.im (.f64 x.re x.re)))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im)))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (.f64 y.im (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))))) (pow.f64 x.re 4)))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 y.im x.re) x.re))) (fma.f64 (fma.f64 -1/2 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (pow.f64 (.f64 1/2 (/.f64 y.im (.f64 x.im x.im))) 2)) (.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 y.im (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))))) -1/24)) (pow.f64 x.re 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im)))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 y.im x.re) x.re))) (fma.f64 (fma.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 -1/2 (pow.f64 (.f64 1/2 (/.f64 y.im (.f64 x.im x.im))) 2)) (.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 y.im (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))))) -1/24)) (pow.f64 x.re 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im)))))
(+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 3)) (.f64 1/720 (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3)))) y.im)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.im)))) (pow.f64 x.re 4)))))
(fma.f64 (pow.f64 x.re 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (fma.f64 -1/6 (.f64 1/8 (pow.f64 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) 3)) (.f64 (.f64 1/720 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) 2)) (.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3))))) y.im)))) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 y.im (.f64 x.re x.re)))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im)))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (.f64 y.im (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (*.f64 x.im x.im)) 2)))))))) (pow.f64 x.re 4))))
(fma.f64 (pow.f64 x.re 6) (-.f64 (/.f64 -1/48 (/.f64 (.f64 x.im x.im) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))) (.f64 y.im y.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (fma.f64 1/720 (.f64 y.im (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (pow.f64 x.im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 x.im) 3)) (pow.f64 (fabs.f64 x.im) 3)))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 y.im x.re) x.re))) (fma.f64 (fma.f64 -1/2 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (pow.f64 (.f64 1/2 (/.f64 y.im (.f64 x.im x.im))) 2)) (.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 y.im (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))))) -1/24)) (pow.f64 x.re 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))))))
(fma.f64 (pow.f64 x.re 6) (-.f64 (/.f64 -1/48 (/.f64 (.f64 x.im x.im) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))) (.f64 y.im y.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (fma.f64 1/720 (.f64 y.im (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (pow.f64 x.im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 x.im) 3)) (pow.f64 (fabs.f64 x.im) 3)))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 y.im x.re) x.re))) (fma.f64 (fma.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 -1/2 (pow.f64 (.f64 1/2 (/.f64 y.im (.f64 x.im x.im))) 2)) (.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 y.im (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))))) -1/24)) (pow.f64 x.re 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re)))))
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(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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(cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
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(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
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(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 1)
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(sqrt.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2))
(fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) 1/3)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 3)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 2)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2))
(sqrt.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2))
(fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 1))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.4b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
✓	32.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series223.0ms (1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
50.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
39.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
28.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
21.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
18.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 9837 to 7307 computations (25.7% saved)

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log-prod_binary64`
547×	`fma-def_binary64`
288×	`expm1-udef_binary64`
288×	`log1p-udef_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	321	29
2	4316	29

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Inputs

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

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

(*.f64 (atan2.f64 x.im x.re) y.re)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re 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x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 x.im x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 1))))))

Outputs

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(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 1))))))

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

687×	`associate-r_binary64`
515×	`associate-l_binary64`
451×	`fma-def_binary64`
402×	`*-commutative_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	650	8137
1	1907	7000
2	7467	7000

Stop Event

1×	node limit

Counts

200 → 292

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 x.im 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 6)) (.f64 (sqrt.f64 (pow.f64 x.im 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 5) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (*.f64 -1 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 -1 x.re) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 -1 x.re) 5) (pow.f64 (*.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(sqrt.f64 (pow.f64 x.re 2))
(+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 6)) (.f64 (sqrt.f64 (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.im) 5) (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im)))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 3) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 x.im) 5) (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 3) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.im)))) (pow.f64 x.re 4))))
(+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 3)) (.f64 1/720 (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3)))) y.im)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.im)))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (/.f64 1 x.re) 2) y.im)))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (pow.f64 (/.f64 1 x.re) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) y.im)) 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) y.im))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (/.f64 1 x.re) 2) y.im)))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))))
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(fma.f64 1 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 1))

Outputs
(sqrt.f64 (pow.f64 x.im 2))
(sqrt.f64 (*.f64 x.im x.im))
(fabs.f64 x.im)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (sqrt.f64 (.f64 x.im x.im))) (sqrt.f64 (*.f64 x.im x.im)))
(fma.f64 1/2 (/.f64 x.re (/.f64 (fabs.f64 x.im) x.re)) (fabs.f64 x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (sqrt.f64 (.f64 x.im x.im))) (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (/.f64 (sqrt.f64 (.f64 x.im x.im)) (pow.f64 x.re 4))) (sqrt.f64 (*.f64 x.im x.im))))
(fma.f64 1/2 (/.f64 x.re (/.f64 (fabs.f64 x.im) x.re)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (fabs.f64 x.im)) (pow.f64 x.re 4)) (fabs.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 6)) (.f64 (sqrt.f64 (pow.f64 x.im 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (sqrt.f64 (.f64 x.im x.im))) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3) (pow.f64 x.re 6))) (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (/.f64 (sqrt.f64 (.f64 x.im x.im)) (pow.f64 x.re 4))) (sqrt.f64 (*.f64 x.im x.im)))))
(fma.f64 1/2 (/.f64 x.re (/.f64 (fabs.f64 x.im) x.re)) (fma.f64 1/4 (.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (pow.f64 (fabs.f64 x.im) 3)) (pow.f64 x.re 6)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (fabs.f64 x.im)) (pow.f64 x.re 4)) (fabs.f64 x.im))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))
(fma.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))
(+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 x.re 3)) (pow.f64 (.f64 (*.f64 x.im x.im) 1/2) 2)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) x.re) (.f64 (*.f64 1/4 (pow.f64 x.im 4)) (/.f64 -1/2 (pow.f64 x.re 3))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 5) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1/2 (.f64 (/.f64 1 (pow.f64 x.re 3)) (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2)) (.f64 1/4 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (pow.f64 (/.f64 1 x.re) 5)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) x.re) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.re) 5) (.f64 (.f64 x.im x.im) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 (*.f64 1/4 (pow.f64 x.im 4)) (/.f64 -1/2 (pow.f64 x.re 3)))))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re)) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (*.f64 -1 x.re)))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (/.f64 -1 (pow.f64 x.re 3))) (neg.f64 x.re)))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 (*.f64 1/4 (pow.f64 x.im 4)) (/.f64 1/2 (pow.f64 x.re 3)))) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 -1 x.re) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 -1 x.re) 5) (pow.f64 (*.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (/.f64 -1 (pow.f64 x.re 3))) (fma.f64 -1 x.re (.f64 1/4 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (pow.f64 (/.f64 -1 x.re) 5)))))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 (/.f64 1/2 (pow.f64 x.re 3)) (.f64 1/4 (pow.f64 x.im 4)) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 -1 x.re) 5) (.f64 (.f64 x.im x.im) (.f64 1/4 (pow.f64 x.im 4)))) (neg.f64 x.re))))
(sqrt.f64 (pow.f64 x.re 2))
(sqrt.f64 (*.f64 x.re x.re))
(fabs.f64 x.re)
(+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))
(+.f64 (sqrt.f64 (.f64 x.re x.re)) (.f64 1/2 (/.f64 (.f64 x.im x.im) (sqrt.f64 (.f64 x.re x.re)))))
(fma.f64 1/2 (/.f64 x.im (/.f64 (fabs.f64 x.re) x.im)) (fabs.f64 x.re))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (/.f64 (sqrt.f64 (.f64 x.re x.re)) (pow.f64 x.im 4))) (+.f64 (sqrt.f64 (.f64 x.re x.re)) (.f64 1/2 (/.f64 (.f64 x.im x.im) (sqrt.f64 (.f64 x.re x.re))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (fabs.f64 x.re)) (pow.f64 x.im 4)) (fma.f64 1/2 (/.f64 x.im (/.f64 (fabs.f64 x.re) x.im)) (fabs.f64 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 6)) (.f64 (sqrt.f64 (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (/.f64 (sqrt.f64 (.f64 x.re x.re)) (pow.f64 x.im 4))) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 3) (pow.f64 x.im 6))) (+.f64 (sqrt.f64 (.f64 x.re x.re)) (.f64 1/2 (/.f64 (.f64 x.im x.im) (sqrt.f64 (.f64 x.re x.re)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (fabs.f64 x.re)) (pow.f64 x.im 4)) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (/.f64 (pow.f64 (fabs.f64 x.re) 3) (pow.f64 x.im 6))) (fma.f64 1/2 (/.f64 x.im (/.f64 (fabs.f64 x.re) x.im)) (fabs.f64 x.re))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2) (pow.f64 (/.f64 1 x.im) 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/2 (.f64 (.f64 (pow.f64 x.re 4) 1/4) (/.f64 1 (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.im) 5) (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im)))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.im) 5) (.f64 (.f64 x.re x.re) (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2))) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (*.f64 x.re x.re)) 2) (pow.f64 (/.f64 1 x.im) 3)) x.im)))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 1/4 (.f64 (.f64 x.re x.re) (.f64 (.f64 (pow.f64 x.re 4) 1/4) (pow.f64 (/.f64 1 x.im) 5))) (fma.f64 -1/2 (.f64 (.f64 (pow.f64 x.re 4) 1/4) (/.f64 1 (pow.f64 x.im 3))) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im)))
(fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))
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(-.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (.f64 (.f64 (pow.f64 x.re 4) 1/4) (/.f64 1/2 (pow.f64 x.im 3)))) x.im)
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(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (fabs.f64 x.im)) y.im)))
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(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 y.im (log.f64 x.re)))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
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(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) 2)) 1/2))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(+.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 0 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))) (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))) (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(-.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 1 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3) (pow.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
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(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3) 1/3)
(*.f64 y.re (atan2.f64 x.im x.re))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2))
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(fabs.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3))
(*.f64 y.re (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 1))
(*.f64 y.re (atan2.f64 x.im x.re))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.4b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 99 to 15 computations (84.8% saved)

series47.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	y.im	@	-inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
8.0ms	x.re	@	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
8.0ms	x.im	@	inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
6.0ms	x.re	@	inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
5.0ms	x.im	@	-inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 4044 to 3214 computations (20.5% saved)

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
828×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
808×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	194	16
2	2267	16

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 1) (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

385×	`distribute-rgt-in_binary64`
380×	`times-frac_binary64`
378×	`distribute-lft-in_binary64`
347×	`associate-*l/_binary64`
317×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	2725
1	837	2183
2	3324	2014

Stop Event

1×	node limit

Counts

69 → 122

Calls

Call 1

Inputs
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (.f64 y.im (pow.f64 x.re 4)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (.f64 y.im (pow.f64 x.re 4)))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x.re 6) (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3)))) y.im))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 2) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 (pow.f64 (/.f64 1 x.re) 4) y.im))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 2) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 (pow.f64 (/.f64 1 x.re) 4) y.im))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 2) y.im))) (+.f64 (.f64 1/720 (.f64 y.im (.f64 (+.f64 (.f64 360 (.f64 (pow.f64 x.im 2) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 30 (pow.f64 (pow.f64 x.im 2) 3))) (pow.f64 (/.f64 1 x.re) 6)))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 (pow.f64 x.im 2) y.im)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4)))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 (pow.f64 x.im 2) y.im))))))
(+.f64 (.f64 1/720 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.re) 6) (+.f64 (.f64 360 (.f64 (pow.f64 x.im 2) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 30 (pow.f64 (pow.f64 x.im 2) 3)))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4)))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (*.f64 (pow.f64 x.im 2) y.im)))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.im 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.im 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im) (+.f64 (.f64 1/24 (.f64 (pow.f64 x.im 4) (.f64 y.im (+.f64 (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.im 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im) (+.f64 (.f64 1/720 (.f64 (pow.f64 x.im 6) (.f64 y.im (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 3))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x.im 4) (.f64 y.im (+.f64 (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))))) (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 1 x.im) 4) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.im))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/720 (.f64 y.im (.f64 (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (pow.f64 (/.f64 1 x.im) 6)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (/.f64 1 x.im) 4) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.im))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (pow.f64 (/.f64 -1 x.im) 4) y.im))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/720 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.im) 6) (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2))))))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (*.f64 (pow.f64 (/.f64 -1 x.im) 4) y.im)))))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 1) (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (+.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1)
(.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(log.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

Outputs
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))
(fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (fabs.f64 x.im)) y.im))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(fma.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (*.f64 x.im x.im))) y.im)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im)))
(fma.f64 1/2 (.f64 (/.f64 y.im x.im) (/.f64 x.re (/.f64 x.im x.re))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (.f64 y.im (pow.f64 x.re 4)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))
(fma.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (fma.f64 1/24 (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))) (.f64 y.im (pow.f64 x.re 4))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im) (fma.f64 1/24 (.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (/.f64 -12 (/.f64 (.f64 x.im x.im) (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2)))) (.f64 y.im (pow.f64 x.re 4))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))))
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(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 1) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(-.f64 (+.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (fma.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (fma.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (neg.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (-.f64 (.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im y.im)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	2.0b	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
	30.4b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series90.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	y.im	@	inf	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
25.0ms	y.im	@	-inf	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
14.0ms	x.im	@	0	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
7.0ms	x.re	@	0	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
2.0ms	y.im	@	0	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))

Compiler

Compiled 842 to 611 computations (27.4% saved)

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`pow1_binary64`
585×	`add-log-exp_binary64`
585×	`log1p-expm1-u_binary64`
585×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	137	9
2	1613	9

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 2 (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 2 (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (atan2.f64 x.im x.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y.im)) 2) (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 2 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
644×	`associate-/l*_binary64`
485×	`distribute-rgt-in_binary64`
440×	`distribute-lft-in_binary64`
401×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	561
1	134	559
2	380	555
3	1476	549
4	4030	549

Stop Event

1×	node limit

Counts

51 → 35

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(*.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 2 (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 2 (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 1 (atan2.f64 x.im x.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y.im)) 2) (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 2 (atan2.f64 x.im x.re))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))

Outputs
1
(+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (atan2.f64 x.im x.re) y.im 1)
(+.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (*.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (fma.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.im (.f64 y.im 1/2)) 1))
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im y.im)) y.im) 1)
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 (atan2.f64 x.im x.re) (.f64 y.im (.f64 y.im 1/2)) y.im) 1)
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 1 (fma.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 1 (fma.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 1/6 (pow.f64 y.im 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.im (*.f64 y.im 1/2)) 1)))
(fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (fma.f64 (atan2.f64 x.im x.re) (.f64 1/6 (pow.f64 y.im 3)) (.f64 y.im (*.f64 y.im 1/2))) (fma.f64 (atan2.f64 x.im x.re) y.im 1))
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 (atan2.f64 x.im x.re) (.f64 y.im (.f64 y.im 1/2)) y.im) (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 1/6 (pow.f64 y.im 3)) 1))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 2 (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 (atan2.f64 x.im x.re) 2))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 2 (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 (atan2.f64 x.im x.re) 2))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 (pow.f64 1 (atan2.f64 x.im x.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y.im)) 2) (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (exp.f64 y.im)) (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (exp.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) 2))
(sqrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 2 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(log.f64 (exp.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.4b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series158.0ms (0.7%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
76.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
25.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
15.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
13.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
12.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

Compiler

Compiled 1058 to 779 computations (26.4% saved)

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`pow1_binary64`
585×	`add-log-exp_binary64`
585×	`log1p-expm1-u_binary64`
585×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	137	15
2	1613	15

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(exp.f64 (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (atan2.f64 x.im x.re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2)) (cbrt.f64 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) y.im) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im) (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

773×	`fma-def_binary64`
400×	`associate-l_binary64`
357×	`associate-r_binary64`
302×	`sqr-pow_binary64`
279×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	741
1	204	739
2	634	684
3	2952	678
4	5604	678

Stop Event

1×	node limit

Counts

70 → 55

Calls

Call 1

Inputs
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
1
(+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(-.f64 (+.f64 1 (exp.f64 (atan2.f64 x.im x.re))) 1)
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1)
(*.f64 1 (exp.f64 (atan2.f64 x.im x.re)))
(*.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))))
(*.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 1)
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 1) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2)) (cbrt.f64 (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 2))
(log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re))))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)
(*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1)
(*.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (pow.f64 1 y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) y.im) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im) (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))
(sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))

Outputs
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
1
(+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1)
(fma.f64 (atan2.f64 x.im x.re) y.im 1)
(+.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 (.f64 1/2 (*.f64 y.im y.im)) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (*.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.im (.f64 y.im 1/2)) 1))
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im y.im)) y.im) 1)
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 (atan2.f64 x.im x.re) (.f64 y.im (.f64 y.im 1/2)) y.im) 1)
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 1 (fma.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 (.f64 1/2 (.f64 y.im y.im)) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (fma.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(fma.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.im (*.f64 y.im 1/2)) 1)))
(fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (fma.f64 1/6 (.f64 (atan2.f64 x.im x.re) (pow.f64 y.im 3)) (.f64 y.im (*.f64 y.im 1/2))) 1))
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 (atan2.f64 x.im x.re) (.f64 y.im (.f64 y.im 1/2)) y.im) (fma.f64 1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) 1))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(-.f64 (+.f64 1 (exp.f64 (atan2.f64 x.im x.re))) 1)
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1)
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(*.f64 1 (exp.f64 (atan2.f64 x.im x.re)))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(*.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(*.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 1)
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3) 1/3)
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 3)
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 1) (atan2.f64 x.im x.re))
(pow.f64 (E.f64) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2)) (cbrt.f64 (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 2))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 1 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (atan2.f64 x.im x.re))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1)
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(*.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(*.f64 (pow.f64 1 y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) y.im) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im) (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))
(pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (+.f64 y.im y.im))
(sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(log.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

eval958.0ms (4.1%)

Compiler: Compiled 93462 to 34259 computations (63.3% saved)

prune597.0ms (2.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1511	20	1531
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1516	20	1536

Error

2.8b

Counts

1536 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
	38.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)))
	8.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	23.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im y.im)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))))
▶	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))))
	33.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	9.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	4.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	63.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	25.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	42.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 1270 to 722 computations (43.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.8b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series11.0ms (0%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	0	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
2.0ms	y.re	@	0	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.im	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 448 to 331 computations (26.1% saved)

rewrite40.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`pow1_binary64`
578×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	135	9
2	1574	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
597×	`fma-neg_binary64`
366×	`*-commutative_binary64`
351×	`log-prod_binary64`
324×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	346
1	134	296
2	456	246
3	2470	244
4	5628	238
5	7662	238

Stop Event

1×	node limit

Counts

20 → 34

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (pow.f64 y.re 6))) (.f64 1/24 (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4))))))
(-.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))

Outputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (.f64 -1/2 (.f64 (*.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/24 (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 (pow.f64 y.re 4) (.f64 1/24 (pow.f64 (atan2.f64 x.im x.re) 4)))))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4)) 1))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (pow.f64 y.re 6))) (.f64 1/24 (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4))))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (fma.f64 -1/720 (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (pow.f64 y.re 6)) (.f64 1/24 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4))))))
(+.f64 1 (fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 -1/720 (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (pow.f64 y.re 6)) (.f64 (pow.f64 y.re 4) (*.f64 1/24 (pow.f64 (atan2.f64 x.im x.re) 4))))))
(+.f64 (fma.f64 -1/720 (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (pow.f64 y.re 6)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1/2 (.f64 y.re y.re)))) (fma.f64 1/24 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4)) 1))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 -1/720 (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (pow.f64 y.re 6)) (fma.f64 1/24 (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.re 4)) 1)))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 -1/720 (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (pow.f64 y.re 6)) (fma.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) 1)))
(-.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.8b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series13.0ms (0.1%)

Counts

1 → 8

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	inf	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	y.im	@	0	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	x.im	@	0	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	x.im	@	-inf	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	x.re	@	-inf	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))

Compiler

Compiled 842 to 611 computations (27.4% saved)

rewrite39.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`pow1_binary64`
558×	`add-log-exp_binary64`
558×	`log1p-expm1-u_binary64`
558×	`expm1-log1p-u_binary64`
544×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	133	9
2	1540	9

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 2)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (atan2.f64 x.im x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))))

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-def_binary64`
405×	`associate-l_binary64`
401×	`*-commutative_binary64`
368×	`associate-r_binary64`
331×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	350
1	176	348
2	559	344
3	3218	338
4	6378	338

Stop Event

1×	node limit

Counts

31 → 36

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(*.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (exp.f64 1) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))

Outputs
1
(+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (atan2.f64 x.im x.re) y.im 1)
(+.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (*.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) 1))
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 (atan2.f64 x.im x.re) (.f64 y.im (.f64 y.im 1/2)) y.im) 1)
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 1 (fma.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(fma.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 1/2 (.f64 (*.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) 1)))
(fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (fma.f64 (atan2.f64 x.im x.re) (.f64 1/6 (pow.f64 y.im 3)) (.f64 y.im (*.f64 y.im 1/2))) (fma.f64 (atan2.f64 x.im x.re) y.im 1))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3) 1/3)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 1) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (E.f64) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 2))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(log.f64 (exp.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.im (neg.f64 (log.f64 x.im)))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	11.6b	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))

Compiler

Compiled 105 to 17 computations (83.8% saved)

series458.0ms (2%)

Counts

2 → 64

Calls

18 calls:

Time	Variable		Point	Expression
216.0ms	x.im	@	-inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
154.0ms	x.im	@	-inf	(*.f64 y.im (neg.f64 (log.f64 x.im)))
14.0ms	x.re	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
14.0ms	x.im	@	inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
13.0ms	x.im	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))

Compiler

Compiled 48731 to 40240 computations (17.4% saved)

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
342×	`fma-def_binary64`
323×	`pow2_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	268	21
2	3732	21

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
(*.f64 y.im (neg.f64 (log.f64 x.im)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) 1) (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 (*.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2)))) (cos.f64 (/.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) (fma.f64 (*.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 (*.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2)))) (sin.f64 (/.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) (fma.f64 (*.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (cos.f64 (/.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (sin.f64 (/.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (cos.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)))) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (sin.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 y.im (log.f64 x.im) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 2) (*.f64 y.im (log.f64 x.im))))) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 2) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (cos.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) 1))) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (sin.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (cos.f64 (+.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (sin.f64 (+.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (*.f64 (sin.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) 2)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (exp.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (exp.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (cos.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))) (neg.f64 (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (sin.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 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(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.im (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im y.im)) 2)) (log.f64 (cbrt.f64 (pow.f64 x.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x.im y.im))) (log.f64 (sqrt.f64 (pow.f64 x.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y.im (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.im (log.f64 x.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y.im (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.im y.im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x.im y.im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y.im (log.f64 x.im))) 1))))))

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

372×	`unswap-sqr_binary64`
367×	`associate-/l*_binary64`
293×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`
256×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	3798
1	695	3461
2	2492	3277

Stop Event

1×	node limit

Counts

141 → 149

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))) (cos.f64 (neg.f64 (.f64 -1 (*.f64 y.im (log.f64 x.im))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))) (cos.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 (pow.f64 y.re 3) (sin.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))) (cos.f64 (neg.f64 (.f64 -1 (*.f64 y.im (log.f64 x.im))))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (neg.f64 (.f64 -1 (log.f64 x.im))) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (neg.f64 (.f64 -1 (log.f64 x.im))) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (neg.f64 (.f64 -1 (log.f64 x.im))) 3)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 x.im) y.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 x.im)))))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 y.im (log.f64 x.im)))
(.f64 -1 (.f64 (log.f64 x.im) y.im))
(.f64 -1 (.f64 (log.f64 x.im) y.im))
(.f64 -1 (.f64 (log.f64 x.im) y.im))
(.f64 -1 (.f64 (log.f64 x.im) y.im))
(*.f64 (log.f64 (/.f64 1 x.im)) y.im)
(*.f64 (log.f64 (/.f64 1 x.im)) y.im)
(*.f64 (log.f64 (/.f64 1 x.im)) y.im)
(*.f64 (log.f64 (/.f64 1 x.im)) y.im)
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))))
(+.f64 0 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 1) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 1))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))) (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))) (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1)
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)))))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 y.im (log.f64 x.im) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) 1))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) 1))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (+.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (+.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2)) (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))
(-.f64 (.f64 (cos.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 1)
(.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 2) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 2) (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 2)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 1)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(log.f64 (/.f64 (exp.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (exp.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (exp.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 1))
(fma.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))) (neg.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (sin.f64 (log.f64 (pow.f64 (pow.f64 x.im y.im) 2))))))
(fma.f64 1 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))))
(fma.f64 1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(fma.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 1 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) 1))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(+.f64 0 (*.f64 y.im (log.f64 x.im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im y.im)) 2)) (log.f64 (cbrt.f64 (pow.f64 x.im y.im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x.im y.im))) (log.f64 (sqrt.f64 (pow.f64 x.im y.im))))
(-.f64 0 (*.f64 y.im (log.f64 x.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) 1)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 3)
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)
(pow.f64 (*.f64 y.im (log.f64 x.im)) 1)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) 1/3)
(neg.f64 (*.f64 y.im (log.f64 x.im)))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))
(log.f64 (pow.f64 x.im y.im))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1)))
(log.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1))))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(log1p.f64 (-.f64 (pow.f64 x.im y.im) 1))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 x.im))) 1))

Outputs
(cos.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 (neg.f64 y.im) (log.f64 x.im)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(cos.f64 (log.f64 (pow.f64 x.im y.im)))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (neg.f64 (.f64 -1 (.f64 y.im (log.f64 x.im)))))))) (cos.f64 (neg.f64 (.f64 -1 (*.f64 y.im (log.f64 x.im))))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
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(.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 1)
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1 (.f64 y.im (log.f64 x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1 (.f64 y.im (log.f64 x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1 (.f64 y.im (log.f64 x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1 (.f64 y.im (log.f64 x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
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(-.f64 (.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (.f64 2 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (.f64 2 (*.f64 y.im (log.f64 x.im)))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (.f64 -2 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 y.im (log.f64 x.im) (.f64 -2 (*.f64 y.im (log.f64 x.im)))))))
(-.f64 (.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 1 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) 1))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (.f64 2 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (.f64 2 (*.f64 y.im (log.f64 x.im)))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (.f64 -2 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 y.im (log.f64 x.im) (.f64 -2 (*.f64 y.im (log.f64 x.im)))))))
(-.f64 (.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (.f64 2 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (.f64 2 (*.f64 y.im (log.f64 x.im)))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (.f64 -2 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (fma.f64 y.im (log.f64 x.im) (.f64 -2 (*.f64 y.im (log.f64 x.im)))))))
(-.f64 (.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))
(+.f64 0 (*.f64 y.im (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im y.im)) 2)) (log.f64 (cbrt.f64 (pow.f64 x.im y.im))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 x.im y.im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x.im y.im))) (log.f64 (sqrt.f64 (pow.f64 x.im y.im))))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(-.f64 0 (*.f64 y.im (log.f64 x.im)))
(*.f64 (neg.f64 y.im) (log.f64 x.im))
(*.f64 y.im (neg.f64 (log.f64 x.im)))
(*.f64 (log.f64 x.im) (neg.f64 y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) 1)
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) 1/2)
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 3)
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(pow.f64 (*.f64 y.im (log.f64 x.im)) 1)
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) 1/3)
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(neg.f64 (*.f64 y.im (log.f64 x.im)))
(*.f64 (neg.f64 y.im) (log.f64 x.im))
(*.f64 y.im (neg.f64 (log.f64 x.im)))
(*.f64 (log.f64 x.im) (neg.f64 y.im))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(log.f64 (pow.f64 x.im y.im))
(*.f64 y.im (log.f64 x.im))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1)))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(log.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1))))
(*.f64 (neg.f64 y.im) (log.f64 x.im))
(*.f64 y.im (neg.f64 (log.f64 x.im)))
(*.f64 (log.f64 x.im) (neg.f64 y.im))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(log1p.f64 (-.f64 (pow.f64 x.im y.im) 1))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 x.im))) 1))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.4b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
✓	32.3b	(sqrt.f64 (*.f64 x.im x.im))
	32.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 173 to 21 computations (87.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	0	(sqrt.f64 (*.f64 x.im x.im))
1.0ms	x.im	@	inf	(sqrt.f64 (*.f64 x.im x.im))
1.0ms	x.im	@	-inf	(sqrt.f64 (*.f64 x.im x.im))

Compiler

Compiled 80 to 68 computations (15% saved)

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

393×	`log1p-udef_binary64`
281×	`associate-r_binary64`
269×	`associate-l_binary64`
262×	`pow1_binary64`
254×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	80	1
2	728	1
3	7510	1

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x.im x.im))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x.im 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x.im)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x.im)) 2)) (log.f64 (cbrt.f64 (exp.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x.im))) (log.f64 (sqrt.f64 (exp.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x.im 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x.im 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x.im)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x.im) 2) (cbrt.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im))) (cbrt.f64 (cbrt.f64 (pow.f64 x.im 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im))) (pow.f64 (cbrt.f64 (pow.f64 x.im 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (cbrt.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x.im 8))) (cbrt.f64 (cbrt.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.im 1/6) (*.f64 (pow.f64 x.im 1/6) (pow.f64 (cbrt.f64 x.im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x.im) (pow.f64 (cbrt.f64 x.im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.im 1/4) (sqrt.f64 (pow.f64 x.im 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.im 1/4) (pow.f64 (pow.f64 x.im 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.im 1/4) (*.f64 (pow.f64 x.im 1/4) (sqrt.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x.im) (pow.f64 x.im 1/4)) (pow.f64 x.im 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x.im 5/2)) (pow.f64 x.im 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x.im 3/2)) (pow.f64 x.im 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x.im 5))) (pow.f64 x.im 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x.im)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x.im 3/2) 1/2) (pow.f64 x.im 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im 5)) 1/2) (pow.f64 x.im 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im 8)) 1/3) (cbrt.f64 (cbrt.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x.im 5/2) 1/3) (pow.f64 x.im 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x.im) (cbrt.f64 x.im)) (pow.f64 x.im 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x.im) (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im)))) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x.im) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2)) (cbrt.f64 (cbrt.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x.im) 2) (pow.f64 x.im 1/6)) (pow.f64 x.im 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x.im 1) 3) 1) (+.f64 (*.f64 (+.f64 x.im 1) (+.f64 x.im 1)) (+.f64 1 (+.f64 x.im 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x.im 1) (+.f64 x.im 1)) 1) (+.f64 (+.f64 x.im 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x.im 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x.im x.im) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x.im 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x.im 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x.im 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x.im) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x.im) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (log.f64 x.im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x.im) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x.im)) 2)) (cbrt.f64 (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x.im))) (sqrt.f64 (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x.im)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 x.im 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x.im 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x.im)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x.im) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x.im)) 3))))))

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

948×	`fma-neg_binary64`
522×	`fma-def_binary64`
423×	`unswap-sqr_binary64`
395×	`log-prod_binary64`
315×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	393
1	334	384
2	1135	373
3	6075	361

Stop Event

1×	node limit

Counts

70 → 82

Calls

Call 1

Inputs
x.im
x.im
x.im
x.im
x.im
x.im
x.im
x.im
(*.f64 -1 x.im)
(*.f64 -1 x.im)
(*.f64 -1 x.im)
(*.f64 -1 x.im)
(+.f64 (+.f64 x.im 1) -1)
(+.f64 0 x.im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x.im)) 2)) (log.f64 (cbrt.f64 (exp.f64 x.im))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x.im))) (log.f64 (sqrt.f64 (exp.f64 x.im))))
(-.f64 (+.f64 x.im 1) 1)
(*.f64 x.im 1)
(*.f64 1 x.im)
(*.f64 (pow.f64 (cbrt.f64 x.im) 2) (cbrt.f64 x.im))
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (.f64 (cbrt.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) 2)))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (cbrt.f64 (cbrt.f64 (pow.f64 x.im 5))))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (pow.f64 (cbrt.f64 (pow.f64 x.im 5)) 1/3))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (cbrt.f64 x.im)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x.im 8))) (cbrt.f64 (cbrt.f64 x.im)))
(.f64 (pow.f64 x.im 1/6) (.f64 (pow.f64 x.im 1/6) (pow.f64 (cbrt.f64 x.im) 2)))
(*.f64 (cbrt.f64 x.im) (pow.f64 (cbrt.f64 x.im) 2))
(*.f64 (pow.f64 x.im 1/4) (sqrt.f64 (pow.f64 x.im 3/2)))
(*.f64 (pow.f64 x.im 1/4) (pow.f64 (pow.f64 x.im 3/2) 1/2))
(.f64 (pow.f64 x.im 1/4) (.f64 (pow.f64 x.im 1/4) (sqrt.f64 x.im)))
(.f64 (.f64 (sqrt.f64 x.im) (pow.f64 x.im 1/4)) (pow.f64 x.im 1/4))
(*.f64 (cbrt.f64 (pow.f64 x.im 5/2)) (pow.f64 x.im 1/6))
(*.f64 (sqrt.f64 (pow.f64 x.im 3/2)) (pow.f64 x.im 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x.im 5))) (pow.f64 x.im 1/6))
(*.f64 (pow.f64 1 1/3) x.im)
(*.f64 (pow.f64 (pow.f64 x.im 3/2) 1/2) (pow.f64 x.im 1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im 5)) 1/2) (pow.f64 x.im 1/6))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im 8)) 1/3) (cbrt.f64 (cbrt.f64 x.im)))
(*.f64 (pow.f64 (pow.f64 x.im 5/2) 1/3) (pow.f64 x.im 1/6))
(.f64 (.f64 (sqrt.f64 x.im) (cbrt.f64 x.im)) (pow.f64 x.im 1/6))
(.f64 (.f64 (cbrt.f64 x.im) (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im)))) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 x.im) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2)) (cbrt.f64 (cbrt.f64 x.im)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x.im) 2) (pow.f64 x.im 1/6)) (pow.f64 x.im 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 x.im 1) 3) 1) (+.f64 (*.f64 (+.f64 x.im 1) (+.f64 x.im 1)) (+.f64 1 (+.f64 x.im 1))))
(/.f64 (-.f64 (*.f64 (+.f64 x.im 1) (+.f64 x.im 1)) 1) (+.f64 (+.f64 x.im 1) 1))
(pow.f64 x.im 1)
(pow.f64 (*.f64 x.im x.im) 1/2)
(pow.f64 (pow.f64 x.im 4) 1/4)
(pow.f64 (pow.f64 x.im 6) 1/6)
(pow.f64 (pow.f64 x.im 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 x.im) 2) 3/2)
(pow.f64 (sqrt.f64 x.im) 2)
(pow.f64 (E.f64) (log.f64 x.im))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 x.im) 2))
(pow.f64 (cbrt.f64 x.im) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x.im)) 2)) (cbrt.f64 (log.f64 x.im)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x.im))) (sqrt.f64 (log.f64 x.im)))
(fabs.f64 x.im)
(fabs.f64 (neg.f64 x.im))
(fabs.f64 (neg.f64 (neg.f64 x.im)))
(fabs.f64 (-.f64 1 (+.f64 x.im 1)))
(log.f64 (exp.f64 x.im))
(cbrt.f64 (pow.f64 x.im 3))
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
(exp.f64 (log.f64 x.im))
(exp.f64 (.f64 (.f64 (log.f64 x.im) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x.im)) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x.im)) 3))

Outputs
x.im
x.im
x.im
x.im
x.im
x.im
x.im
x.im
(*.f64 -1 x.im)
(neg.f64 x.im)
(*.f64 -1 x.im)
(neg.f64 x.im)
(*.f64 -1 x.im)
(neg.f64 x.im)
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (+.f64 x.im 1) -1)
x.im
(+.f64 0 x.im)
x.im
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x.im)) 2)) (log.f64 (cbrt.f64 (exp.f64 x.im))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x.im)))) (log.f64 (cbrt.f64 (exp.f64 x.im))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 x.im))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 x.im))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x.im))) (log.f64 (sqrt.f64 (exp.f64 x.im))))
x.im
(-.f64 (+.f64 x.im 1) 1)
x.im
(*.f64 x.im 1)
x.im
(*.f64 1 x.im)
x.im
(*.f64 (pow.f64 (cbrt.f64 x.im) 2) (cbrt.f64 x.im))
x.im
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
x.im
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (.f64 (cbrt.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) 2)))
x.im
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (cbrt.f64 (cbrt.f64 (pow.f64 x.im 5))))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (pow.f64 (cbrt.f64 (pow.f64 x.im 5)) 1/3))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (cbrt.f64 (cbrt.f64 (pow.f64 x.im 5))))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (cbrt.f64 x.im)))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (*.f64 (cbrt.f64 x.im) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2)))
(.f64 (cbrt.f64 x.im) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (.f64 (cbrt.f64 x.im) (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im)))))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 5))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x.im 8))) (cbrt.f64 (cbrt.f64 x.im)))
(*.f64 (cbrt.f64 (cbrt.f64 x.im)) (cbrt.f64 (cbrt.f64 (pow.f64 x.im 8))))
(.f64 (pow.f64 x.im 1/6) (.f64 (pow.f64 x.im 1/6) (pow.f64 (cbrt.f64 x.im) 2)))
x.im
(*.f64 (cbrt.f64 x.im) (pow.f64 (cbrt.f64 x.im) 2))
x.im
(*.f64 (pow.f64 x.im 1/4) (sqrt.f64 (pow.f64 x.im 3/2)))
(*.f64 (pow.f64 x.im 1/4) (pow.f64 x.im 3/4))
(*.f64 (pow.f64 x.im 1/4) (pow.f64 (pow.f64 x.im 3/2) 1/2))
(*.f64 (pow.f64 x.im 1/4) (sqrt.f64 (pow.f64 x.im 3/2)))
(*.f64 (pow.f64 x.im 1/4) (pow.f64 x.im 3/4))
(.f64 (pow.f64 x.im 1/4) (.f64 (pow.f64 x.im 1/4) (sqrt.f64 x.im)))
x.im
(.f64 (.f64 (sqrt.f64 x.im) (pow.f64 x.im 1/4)) (pow.f64 x.im 1/4))
x.im
(*.f64 (cbrt.f64 (pow.f64 x.im 5/2)) (pow.f64 x.im 1/6))
(*.f64 (pow.f64 x.im 1/6) (cbrt.f64 (pow.f64 x.im 5/2)))
(*.f64 (sqrt.f64 (pow.f64 x.im 3/2)) (pow.f64 x.im 1/4))
(*.f64 (pow.f64 x.im 1/4) (sqrt.f64 (pow.f64 x.im 3/2)))
(*.f64 (pow.f64 x.im 1/4) (pow.f64 x.im 3/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x.im 5))) (pow.f64 x.im 1/6))
(*.f64 (pow.f64 x.im 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 x.im 5))))
(*.f64 (pow.f64 1 1/3) x.im)
x.im
(*.f64 (pow.f64 (pow.f64 x.im 3/2) 1/2) (pow.f64 x.im 1/4))
(*.f64 (pow.f64 x.im 1/4) (sqrt.f64 (pow.f64 x.im 3/2)))
(*.f64 (pow.f64 x.im 1/4) (pow.f64 x.im 3/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im 5)) 1/2) (pow.f64 x.im 1/6))
(*.f64 (pow.f64 x.im 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 x.im 5))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im 8)) 1/3) (cbrt.f64 (cbrt.f64 x.im)))
(*.f64 (cbrt.f64 (cbrt.f64 x.im)) (cbrt.f64 (cbrt.f64 (pow.f64 x.im 8))))
(*.f64 (pow.f64 (pow.f64 x.im 5/2) 1/3) (pow.f64 x.im 1/6))
(*.f64 (pow.f64 x.im 1/6) (cbrt.f64 (pow.f64 x.im 5/2)))
(.f64 (.f64 (sqrt.f64 x.im) (cbrt.f64 x.im)) (pow.f64 x.im 1/6))
(.f64 (sqrt.f64 x.im) (.f64 (cbrt.f64 x.im) (pow.f64 x.im 1/6)))
(.f64 (cbrt.f64 x.im) (.f64 (sqrt.f64 x.im) (pow.f64 x.im 1/6)))
(*.f64 (pow.f64 x.im 1/6) (pow.f64 (cbrt.f64 x.im) 5/2))
(.f64 (.f64 (cbrt.f64 x.im) (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im)))) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (*.f64 (cbrt.f64 x.im) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2)))
(.f64 (cbrt.f64 x.im) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2) (.f64 (cbrt.f64 x.im) (cbrt.f64 (*.f64 x.im (cbrt.f64 x.im)))))
(.f64 (cbrt.f64 (.f64 x.im (cbrt.f64 x.im))) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 5))
(.f64 (.f64 (pow.f64 (cbrt.f64 x.im) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x.im)) 2)) (cbrt.f64 (cbrt.f64 x.im)))
x.im
(.f64 (.f64 (pow.f64 (cbrt.f64 x.im) 2) (pow.f64 x.im 1/6)) (pow.f64 x.im 1/6))
x.im
(/.f64 (-.f64 (pow.f64 (+.f64 x.im 1) 3) 1) (+.f64 (*.f64 (+.f64 x.im 1) (+.f64 x.im 1)) (+.f64 1 (+.f64 x.im 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x.im 1) 3) -1) (fma.f64 (+.f64 x.im 1) (+.f64 x.im 1) (+.f64 x.im 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x.im 1) 3)) (fma.f64 (+.f64 x.im 1) (+.f64 x.im 1) (+.f64 x.im 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x.im 1) 3)) (+.f64 (*.f64 x.im (+.f64 x.im 2)) (+.f64 x.im 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x.im 1) 3)) (fma.f64 (+.f64 x.im 1) (+.f64 x.im 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 x.im 1) (+.f64 x.im 1)) 1) (+.f64 (+.f64 x.im 1) 1))
(/.f64 (*.f64 (+.f64 x.im 2) x.im) (+.f64 x.im 2))
(/.f64 (+.f64 x.im 2) (/.f64 (+.f64 x.im 2) x.im))
(*.f64 (/.f64 (+.f64 x.im 2) (+.f64 x.im 2)) x.im)
(pow.f64 x.im 1)
x.im
(pow.f64 (*.f64 x.im x.im) 1/2)
x.im
(pow.f64 (pow.f64 x.im 4) 1/4)
(pow.f64 (pow.f64 x.im 6) 1/6)
(pow.f64 (pow.f64 x.im 3) 1/3)
x.im
(pow.f64 (pow.f64 (cbrt.f64 x.im) 2) 3/2)
(pow.f64 (sqrt.f64 x.im) 2)
x.im
(pow.f64 (E.f64) (log.f64 x.im))
x.im
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 x.im) 2))
x.im
(pow.f64 (cbrt.f64 x.im) 3)
x.im
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x.im)) 2)) (cbrt.f64 (log.f64 x.im)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x.im))) (sqrt.f64 (log.f64 x.im)))
(fabs.f64 x.im)
x.im
(fabs.f64 (neg.f64 x.im))
x.im
(fabs.f64 (neg.f64 (neg.f64 x.im)))
x.im
(fabs.f64 (-.f64 1 (+.f64 x.im 1)))
x.im
(log.f64 (exp.f64 x.im))
x.im
(cbrt.f64 (pow.f64 x.im 3))
x.im
(expm1.f64 (log1p.f64 x.im))
x.im
(log1p.f64 (expm1.f64 x.im))
x.im
(exp.f64 (log.f64 x.im))
x.im
(exp.f64 (.f64 (.f64 (log.f64 x.im) 3) 1/3))
x.im
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x.im)) 2))
x.im
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x.im)) 3))
x.im

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.8b	(cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	3.5b	(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
	32.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 186 to 23 computations (87.6% saved)

series158.0ms (0.7%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
20.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
17.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
16.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
16.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 9397 to 6975 computations (25.8% saved)

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`log-prod_binary64`
380×	`fma-def_binary64`
366×	`pow2_binary64`
252×	`pow1/3_binary64`
252×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	274	22
2	3465	22

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 x.re x.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (hypot.f64 x.re x.im)) (*.f64 2 (*.f64 1/3 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (hypot.f64 x.re x.im)) (*.f64 1/2 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (hypot.f64 x.re x.im))) (*.f64 1/3 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 x.re x.im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x.re x.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x.re x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2) (cbrt.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im))))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x.re x.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x.re x.im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) 1) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) 1) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x.re x.im)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x.im x.re)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x.re x.im)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2) (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (sin.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2) (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))))) 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x.im x.re) y.re)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))))

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-r_binary64`
526×	`associate-l_binary64`
427×	`fma-def_binary64`
394×	`*-commutative_binary64`
231×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	639	7550
1	1895	6707
2	7361	6705

Stop Event

1×	node limit

Counts

164 → 293

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 x.im 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 6)) (.f64 (sqrt.f64 (pow.f64 x.im 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 5) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (*.f64 -1 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 -1 x.re) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 -1 x.re) 5) (pow.f64 (*.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(sqrt.f64 (pow.f64 x.re 2))
(+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 6)) (.f64 (sqrt.f64 (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.im) 5) (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im)))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 3) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 x.im) 5) (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 3) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))
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(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3) (pow.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 2) (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 2) (.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 2) (pow.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (cos.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(fma.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 1 (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 1 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(sqrt.f64 (pow.f64 x.im 2))
(sqrt.f64 (*.f64 x.im x.im))
(fabs.f64 x.im)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (sqrt.f64 (.f64 x.im x.im))) (sqrt.f64 (*.f64 x.im x.im)))
(fma.f64 1/2 (/.f64 x.re (/.f64 (fabs.f64 x.im) x.re)) (fabs.f64 x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (sqrt.f64 (.f64 x.im x.im))) (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (/.f64 (sqrt.f64 (.f64 x.im x.im)) (pow.f64 x.re 4))) (sqrt.f64 (*.f64 x.im x.im))))
(fma.f64 1/2 (/.f64 x.re (/.f64 (fabs.f64 x.im) x.re)) (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (/.f64 (fabs.f64 x.im) (pow.f64 x.re 4))) (fabs.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (sqrt.f64 (pow.f64 x.im 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 6)) (.f64 (sqrt.f64 (pow.f64 x.im 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 x.re 4)) (sqrt.f64 (pow.f64 x.im 2)))) (sqrt.f64 (pow.f64 x.im 2)))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (sqrt.f64 (.f64 x.im x.im))) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3) (pow.f64 x.re 6))) (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (/.f64 (sqrt.f64 (.f64 x.im x.im)) (pow.f64 x.re 4))) (sqrt.f64 (*.f64 x.im x.im)))))
(fma.f64 1/2 (/.f64 x.re (/.f64 (fabs.f64 x.im) x.re)) (fma.f64 1/4 (*.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (pow.f64 (fabs.f64 x.im) 3)) (pow.f64 x.re 6)) (fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (/.f64 (fabs.f64 x.im) (pow.f64 x.re 4))) (fabs.f64 x.im))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))
(fma.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))
(+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 (.f64 -1/2 (/.f64 1 (pow.f64 x.re 3))) (pow.f64 (.f64 (*.f64 x.im x.im) 1/2) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) x.re) (.f64 (*.f64 1/4 (pow.f64 x.im 4)) (/.f64 -1/2 (pow.f64 x.re 3))))
(+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 5) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1/2 (.f64 (/.f64 1 (pow.f64 x.re 3)) (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2)) (.f64 1/4 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (pow.f64 (/.f64 1 x.re) 5)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) x.re) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.re) 5) (.f64 (.f64 x.im x.im) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 (*.f64 1/4 (pow.f64 x.im 4)) (/.f64 -1/2 (pow.f64 x.re 3)))))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re)) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (*.f64 -1 x.re)))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (pow.f64 (/.f64 -1 x.re) 3)) (neg.f64 x.re)))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 (/.f64 1/2 (pow.f64 x.re 3)) (.f64 1/4 (pow.f64 x.im 4)) (neg.f64 x.re)))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 (.f64 1/4 (pow.f64 x.im 4)) (/.f64 1/2 (pow.f64 x.re 3)) (neg.f64 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 3) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 -1 x.re) (.f64 1/4 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 -1 x.re) 5) (pow.f64 (*.f64 1/2 (pow.f64 x.im 2)) 2)))))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (pow.f64 (/.f64 -1 x.re) 3)) (fma.f64 -1 x.re (.f64 1/4 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2) (pow.f64 (/.f64 -1 x.re) 5)))))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 (/.f64 1/2 (pow.f64 x.re 3)) (.f64 1/4 (pow.f64 x.im 4)) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 -1 x.re) 5) (.f64 (.f64 x.im x.im) (.f64 1/4 (pow.f64 x.im 4)))) (neg.f64 x.re))))
(sqrt.f64 (pow.f64 x.re 2))
(sqrt.f64 (*.f64 x.re x.re))
(fabs.f64 x.re)
(+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))
(+.f64 (sqrt.f64 (.f64 x.re x.re)) (.f64 1/2 (/.f64 (.f64 x.im x.im) (sqrt.f64 (.f64 x.re x.re)))))
(fma.f64 1/2 (/.f64 (*.f64 x.im x.im) (fabs.f64 x.re)) (fabs.f64 x.re))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (/.f64 (sqrt.f64 (.f64 x.re x.re)) (pow.f64 x.im 4))) (+.f64 (sqrt.f64 (.f64 x.re x.re)) (.f64 1/2 (/.f64 (.f64 x.im x.im) (sqrt.f64 (.f64 x.re x.re))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (fabs.f64 x.re)) (pow.f64 x.im 4)) (fma.f64 1/2 (/.f64 (.f64 x.im x.im) (fabs.f64 x.re)) (fabs.f64 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 4)) (sqrt.f64 (pow.f64 x.re 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 x.im 6)) (.f64 (sqrt.f64 (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) (+.f64 (sqrt.f64 (pow.f64 x.re 2)) (.f64 1/2 (/.f64 (pow.f64 x.im 2) (sqrt.f64 (pow.f64 x.re 2)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (/.f64 (sqrt.f64 (.f64 x.re x.re)) (pow.f64 x.im 4))) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 3) (pow.f64 x.im 6))) (+.f64 (sqrt.f64 (.f64 x.re x.re)) (.f64 1/2 (/.f64 (.f64 x.im x.im) (sqrt.f64 (.f64 x.re x.re)))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (fabs.f64 x.re)) (pow.f64 x.im 4)) (fma.f64 1/4 (.f64 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (pow.f64 (fabs.f64 x.re) 3)) (pow.f64 x.im 6)) (fma.f64 1/2 (/.f64 (*.f64 x.im x.im) (fabs.f64 x.re)) (fabs.f64 x.re))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2) (/.f64 1 (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/2 (.f64 (.f64 1/4 (pow.f64 x.re 4)) (/.f64 1 (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.im) 5) (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2) (pow.f64 (/.f64 1 x.im) 3))) x.im)))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (fma.f64 1/4 (.f64 (pow.f64 (/.f64 1 x.im) 5) (.f64 (.f64 x.re x.re) (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2))) (fma.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (*.f64 x.re x.re)) 2) (/.f64 1 (pow.f64 x.im 3))) x.im)))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 1/4 (.f64 (.f64 x.re x.re) (.f64 (.f64 1/4 (pow.f64 x.re 4)) (pow.f64 (/.f64 1 x.im) 5))) (fma.f64 -1/2 (.f64 (.f64 1/4 (pow.f64 x.re 4)) (/.f64 1 (pow.f64 x.im 3))) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im)))
(-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im)
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 3) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2)))))
(fma.f64 -1 x.im (.f64 -1/2 (+.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 (pow.f64 (.f64 1/2 (*.f64 x.re x.re)) 2) (/.f64 -1 (pow.f64 x.im 3))))))
(-.f64 (fma.f64 (/.f64 1/2 (pow.f64 x.im 3)) (.f64 1/4 (pow.f64 x.re 4)) (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re)))) x.im)
(+.f64 (.f64 1/4 (.f64 (pow.f64 (/.f64 -1 x.im) 5) (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))) (+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 3) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2))))))
(fma.f64 1/4 (.f64 (.f64 (.f64 x.re x.re) (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2)) (pow.f64 (/.f64 -1 x.im) 5)) (fma.f64 -1 x.im (.f64 -1/2 (+.f64 (/.f64 (.f64 x.re x.re) x.im) (.f64 (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2) (/.f64 -1 (pow.f64 x.im 3)))))))
(fma.f64 1/4 (.f64 (.f64 x.re x.re) (.f64 (.f64 1/4 (pow.f64 x.re 4)) (pow.f64 (/.f64 -1 x.im) 5))) (-.f64 (fma.f64 (/.f64 1/2 (pow.f64 x.im 3)) (.f64 1/4 (pow.f64 x.re 4)) (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re)))) x.im))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (fabs.f64 x.im)) y.im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 (.f64 x.re x.re) y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (*.f64 x.im x.im))) y.im))))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))))
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(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re y.im))) (fma.f64 (fma.f64 -1/2 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (pow.f64 (.f64 1/2 (/.f64 y.im (.f64 x.im x.im))) 2)) (.f64 (.f64 -1/24 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))))) y.im)) (pow.f64 x.re 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (fabs.f64 x.im)) y.im)))))
(+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 3)) (.f64 1/720 (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3)))) y.im)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.im)))) (pow.f64 x.re 4)))))
(fma.f64 (pow.f64 x.re 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (.f64 y.im y.im) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (fma.f64 -1/6 (.f64 1/8 (pow.f64 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) 3)) (.f64 1/720 (.f64 y.im (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) 2)) (.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3))))))))) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 (.f64 x.re x.re) y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im)))) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2))) 2))) (.f64 -1/24 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.im))) (.f64 y.im (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))))) (pow.f64 x.re 4))))
(fma.f64 (pow.f64 x.re 6) (-.f64 (/.f64 (.f64 (.f64 y.im y.im) -1/48) (/.f64 (/.f64 (.f64 x.im x.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im)))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (fma.f64 1/720 (.f64 y.im (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (pow.f64 x.im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 x.im) 3)) (pow.f64 (fabs.f64 x.im) 3)))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re y.im))) (fma.f64 (fma.f64 -1/2 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (pow.f64 (.f64 1/2 (/.f64 y.im (.f64 x.im x.im))) 2)) (.f64 (.f64 -1/24 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))))) y.im)) (pow.f64 x.re 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (fabs.f64 x.im)) y.im))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.re) y.im))))
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(fma.f64 -1/2 (.f64 (.f64 x.im x.im) (.f64 (sin.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 (/.f64 1 x.re) 2)))) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re)))))
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(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) 1))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) 1) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) 1) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (fabs.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))))
(sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2))
(fabs.f64 (hypot.f64 x.im x.re))
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(+.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (fma.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 0 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (sin.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))) (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))) (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(-.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 1 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
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(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))

eval545.0ms (2.3%)

Compiler: Compiled 63518 to 19995 computations (68.5% saved)

prune496.0ms (2.1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	1264	21	1285
Fresh	5	10	15
Picked	1	0	1
Done	4	0	4
Total	1274	31	1305

Error

2.7b

Counts

1305 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))))
	43.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im)))))))
	39.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4)))))
	39.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 3 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 3 (.f64 y.im (log.f64 x.im)))))))
	43.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
▶	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
	38.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)))
	8.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	23.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im y.im)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))))
▶	51.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 3))))
	33.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	42.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 x.im)))))))
▶	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
	45.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 3)))
	9.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	16.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	4.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	34.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	28.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	29.0b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (.f64 x.re x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 2036 to 1144 computations (43.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.0b	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 70 to 14 computations (80% saved)

series89.0ms (0.4%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	x.im	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
9.0ms	x.im	@	inf	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
9.0ms	x.re	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
7.0ms	x.im	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
6.0ms	x.re	@	0	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

Compiler

Compiled 9467 to 7235 computations (23.6% saved)

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
417×	`fma-def_binary64`
402×	`pow-prod-down_binary64`
334×	`pow2_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	253	36
2	3266	36

Stop Event

1×	node limit

Counts

2 → 244

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

Outputs

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#<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))))))

simplify165.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

645×	`fma-def_binary64`
644×	`associate-l_binary64`
272×	`sqr-pow_binary64`
248×	`distribute-rgt-in_binary64`
240×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	15447
1	2602	13200

Stop Event

1×	node limit

Counts

340 → 543

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (+.f64 (.f64 1/24 (.f64 y.re (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (pow.f64 x.re 4)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (+.f64 (.f64 1/720 (.f64 (pow.f64 x.re 6) (.f64 y.re (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3))))))) (+.f64 (.f64 1/24 (.f64 y.re (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (pow.f64 x.re 4)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 y.re (pow.f64 (/.f64 1 x.re) 2))))) (.f64 (atan2.f64 x.im x.re) y.im))
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(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
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(exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
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(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
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(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
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(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
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(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(+.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
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(+.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 0)
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(*.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (pow.f64 (exp.f64 1) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 (exp.f64 1) (.f64 1/3 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 (exp.f64 1) (.f64 1/2 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 1) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (neg.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3) (fma.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2)))))
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) 1) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) 1) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3))) (/.f64 1 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2))) (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (-.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))

Outputs
(-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 (log.f64 (fabs.f64 x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re (.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 (log.f64 (fabs.f64 x.im)) y.re (/.f64 (.f64 x.re (.f64 x.re 1/2)) (/.f64 (.f64 x.im x.im) y.re))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (+.f64 (.f64 1/24 (.f64 y.re (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (pow.f64 x.re 4)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re (fma.f64 1/24 (.f64 (.f64 y.re (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2))))) (pow.f64 x.re 4)) (.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 (log.f64 (fabs.f64 x.im)) y.re (fma.f64 1/24 (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (/.f64 -3 (/.f64 (.f64 x.im x.im) (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2)))) (.f64 (pow.f64 x.re 4) y.re)) (/.f64 (.f64 x.re (.f64 x.re 1/2)) (/.f64 (.f64 x.im x.im) y.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (+.f64 (.f64 1/720 (.f64 (pow.f64 x.re 6) (.f64 y.re (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3))))))) (+.f64 (.f64 1/24 (.f64 y.re (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) (pow.f64 x.re 4)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re (fma.f64 1/720 (.f64 (pow.f64 x.re 6) (.f64 y.re (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) 2)) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 3) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3)))))) (fma.f64 1/24 (.f64 (.f64 y.re (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2))))) (pow.f64 x.re 4)) (.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 (log.f64 (fabs.f64 x.im)) y.re (fma.f64 1/720 (.f64 y.re (.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (pow.f64 x.im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 x.im) 3)) (pow.f64 (fabs.f64 x.im) 3))) (pow.f64 x.re 6))) (fma.f64 1/24 (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (/.f64 -3 (/.f64 (.f64 x.im x.im) (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2)))) (.f64 (pow.f64 x.re 4) y.re)) (/.f64 (.f64 x.re (.f64 x.re 1/2)) (/.f64 (.f64 x.im x.im) y.re))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 (neg.f64 (log.f64 x.re)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 y.re (pow.f64 (/.f64 1 x.re) 2))))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (fma.f64 -1 (.f64 y.re (neg.f64 (log.f64 x.re))) (.f64 1/2 (.f64 (.f64 x.im x.im) (.f64 y.re (pow.f64 (/.f64 1 x.re) 2))))) (.f64 y.im (atan2.f64 x.im x.re)))
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(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im))
(pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re))
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(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 1 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 1 (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 1 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 1 (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.im (neg.f64 (atan2.f64 x.im x.re)) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1 (fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1 (.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1 (.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) 1))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1 (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 2 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 2 (.f64 0 (.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(fma.f64 1 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 1 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 1 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1 (.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) 1))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 2 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 2 (.f64 0 (.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(fma.f64 1 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1 (.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) 1))
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(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 2 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 2 (.f64 0 (.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1 (.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) 1))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 2 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 2 (.f64 0 (.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 y.re (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) y.re) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 y.re (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) y.re) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) y.re) (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (cbrt.f64 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (log.f64 (hypot.f64 x.re x.im)) (cbrt.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
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(fma.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (cbrt.f64 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))))
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(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
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(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
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(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re))))
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(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re))))
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(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (*.f64 y.im (atan2.f64 x.im x.re))))
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(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 0 (.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 2 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 2 (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (neg.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 (.f64 (neg.f64 (atan2.f64 x.im x.re)) 1) y.im (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (neg.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
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(fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 (pow.f64 (cbrt.f64 y.im) 2))) (cbrt.f64 y.im) (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 (.f64 (neg.f64 (atan2.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(fma.f64 (.f64 (neg.f64 (atan2.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im) (.f64 y.re (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 (sqrt.f64 y.im))) (sqrt.f64 y.im) (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (log.f64 (hypot.f64 x.re x.im)) (cbrt.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (log.f64 (hypot.f64 x.re x.im)) (cbrt.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (log.f64 (hypot.f64 x.re x.im)) (cbrt.f64 y.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (log.f64 (hypot.f64 x.re x.im)) (cbrt.f64 y.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (sqrt.f64 y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (sqrt.f64 y.re) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (sqrt.f64 y.re) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (sqrt.f64 y.re) (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) (sqrt.f64 y.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (sqrt.f64 y.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.re)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 y.re (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 y.re (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 (.f64 y.re (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 y.re (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 (.f64 y.re (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 y.re (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 y.re (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 (.f64 y.re (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (.f64 y.re (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 (.f64 y.re (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (.f64 y.re (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))) (sqrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))) (sqrt.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2)) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) 2)) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3))) (/.f64 1 (fma.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2))))
(pow.f64 (pow.f64 (E.f64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 3) (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 3))) (/.f64 1 (fma.f64 (.f64 y.im (atan2.f64 x.im x.re)) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2))))
(pow.f64 (pow.f64 (E.f64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) 3) (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 3))) (/.f64 1 (fma.f64 (.f64 y.im (atan2.f64 x.im x.re)) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) 2))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2))) (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (E.f64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2) (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2))) (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 y.im (atan2.f64 x.im x.re)))))
(pow.f64 (pow.f64 (E.f64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) 2) (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2))) (/.f64 1 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (-.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (pow.f64 (E.f64) (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(pow.f64 (pow.f64 (E.f64) (+.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (-.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 2))
(fabs.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	16.8b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 51 to 15 computations (70.6% saved)

series65.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	x.im	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
11.0ms	x.re	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
11.0ms	x.re	@	0	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
9.0ms	x.im	@	-inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
6.0ms	y.re	@	0	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 6861 to 5083 computations (25.9% saved)

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
398×	`exp-prod_binary64`
315×	`pow-prod-down_binary64`
283×	`pow2_binary64`
276×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	246	18
2	2652	18

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 2) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 1) 1))))))

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

711×	`distribute-rgt-in_binary64`
515×	`unswap-sqr_binary64`
465×	`associate-r_binary64`
370×	`associate-l_binary64`
283×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	4283
1	1177	3852
2	4694	3322

Stop Event

1×	node limit

Counts

70 → 149

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re 2) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))
(+.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.re)) (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2)))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re 2) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))))
(+.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.re)) (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2)))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re 2) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 y.re 2) (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 1/6 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 3)) (.f64 1/720 (.f64 (+.f64 (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3))) (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2)))) y.re)))) (.f64 (pow.f64 x.re 6) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 y.re (.f64 (pow.f64 (/.f64 1 x.re) 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 y.re (.f64 (pow.f64 (/.f64 1 x.re) 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) y.re))) (.f64 (pow.f64 (/.f64 1 x.re) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (+.f64 (.f64 (+.f64 (.f64 1/720 (.f64 y.re (+.f64 (.f64 360 (.f64 (pow.f64 x.im 2) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 30 (pow.f64 (pow.f64 x.im 2) 3))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 x.im 2) (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (pow.f64 y.re 2)))) (.f64 1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) y.re)) 3)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (pow.f64 (/.f64 1 x.re) 6)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 y.re (.f64 (pow.f64 (/.f64 1 x.re) 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) y.re))) (.f64 (pow.f64 (/.f64 1 x.re) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.re)))))))))))
(.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 (pow.f64 x.im 2) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 (pow.f64 x.im 2) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) y.re))) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.re) 4)))) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 (+.f64 (.f64 1/720 (.f64 y.re (+.f64 (.f64 360 (.f64 (pow.f64 x.im 2) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 30 (pow.f64 (pow.f64 x.im 2) 3))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 x.im 2) (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (pow.f64 y.re 2)))) (.f64 1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) y.re)) 3)))) (.f64 (pow.f64 (/.f64 -1 x.re) 6) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 (pow.f64 x.im 2) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) y.re))) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.re) 4)))) (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (.f64 (pow.f64 x.im 2) (.f64 y.re (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.re))) (.f64 (pow.f64 x.im 4) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (.f64 (pow.f64 x.im 2) (.f64 y.re (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))))
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.re))) (.f64 (pow.f64 x.im 4) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 3)) (+.f64 (.f64 1/720 (.f64 y.re (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 3)))))) (.f64 1/48 (/.f64 (.f64 (pow.f64 y.re 2) (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))) (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (.f64 (pow.f64 x.im 6) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re)) (.f64 (pow.f64 x.im 2) (.f64 y.re (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 y.re (.f64 (pow.f64 x.re 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))))
(+.f64 (.f64 (pow.f64 (/.f64 1 x.im) 4) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 y.re (.f64 (pow.f64 x.re 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))))
(+.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 2) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (pow.f64 x.re 2)))) (+.f64 (.f64 1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 3)) (.f64 1/720 (.f64 y.re (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 1 x.im) 6)))) (+.f64 (.f64 (pow.f64 (/.f64 1 x.im) 4) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 y.re (.f64 (pow.f64 x.re 2) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))))))))
(+.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))))))))
(+.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 2) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (pow.f64 x.re 2)))) (+.f64 (.f64 1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 3)) (.f64 1/720 (.f64 y.re (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))))))) (.f64 (pow.f64 (/.f64 -1 x.im) 6) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))))) (+.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.im)))))))))))))
1
(+.f64 1 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 1 (+.f64 (.f64 (pow.f64 y.re 2) (+.f64 (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 1 (+.f64 (.f64 (pow.f64 y.re 3) (+.f64 (.f64 1/6 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)) (.f64 -1/2 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))) (+.f64 (.f64 (pow.f64 y.re 2) (+.f64 (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 0 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) 1)
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 1 (/.f64 1 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)))
(/.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)
(/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 2) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1/2))
(/.f64 (neg.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) -1)
(/.f64 (.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)
(/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) -1)
(pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)
(pow.f64 (E.f64) (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 3)
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 2)
(pow.f64 (/.f64 1 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1))
(exp.f64 (.f64 (.f64 3 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 1) 1))

Outputs
(.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (fabs.f64 x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re 2) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/2 (/.f64 y.re (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 (.f64 (.f64 x.re x.re) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.re x.re) x.re)) (pow.f64 (fabs.f64 x.im) y.re)) (.f64 x.im x.im)) (.f64 (pow.f64 (fabs.f64 x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 x.re x.re))) (pow.f64 x.im y.re)) (.f64 x.im x.im)) (.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))) y.re)) (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2)))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re 2) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2)))))
(fma.f64 (pow.f64 x.re 4) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/24 (.f64 y.re (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (/.f64 (.f64 -3 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))) (.f64 1/2 (pow.f64 (/.f64 (.f64 1/2 y.re) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) 2)))) (fma.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/2 (/.f64 y.re (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 (.f64 (.f64 x.re x.re) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))))
(fma.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (fabs.f64 x.im) y.re) (fma.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (.f64 x.im x.im))) 2) (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (/.f64 (.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2)) (.f64 x.im x.im))) (.f64 y.re 1/24))))) (fma.f64 1/2 (/.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.re x.re) x.re)) (pow.f64 (fabs.f64 x.im) y.re)) (.f64 x.im x.im)) (.f64 (pow.f64 (fabs.f64 x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
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(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im)))) (.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 x.re x.re)) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im)))))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))) (.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.re x.re) x.re)) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im)))) (.f64 1/2 (pow.f64 (/.f64 -1 x.im) 2))))
(.f64 (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x.im) 2)) (.f64 y.re (.f64 x.re x.re))) 1) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re))))
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(fma.f64 (fma.f64 1/48 (.f64 (.f64 y.re y.re) (.f64 (.f64 x.re x.re) (fma.f64 -12 (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2) (.f64 (pow.f64 x.re 4) -3)))) (fma.f64 1/6 (pow.f64 (.f64 (.f64 1/2 (.f64 x.re x.re)) y.re) 3) (.f64 (.f64 1/720 y.re) (fma.f64 30 (pow.f64 (.f64 x.re x.re) 3) (.f64 360 (.f64 (.f64 x.re x.re) (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2))))))) (.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 6) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im))))) (fma.f64 (pow.f64 (/.f64 -1 x.im) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (fma.f64 1/2 (pow.f64 (.f64 (.f64 1/2 (.f64 x.re x.re)) y.re) 2) (.f64 1/24 (.f64 y.re (fma.f64 -12 (pow.f64 (.f64 1/2 (.f64 x.re x.re)) 2) (.f64 (pow.f64 x.re 4) -3))))) (exp.f64 (.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im)))))) (fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im)))) (.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 x.re x.re)) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im)))))))))))
(fma.f64 (fma.f64 1/48 (.f64 y.re (.f64 y.re (.f64 (.f64 x.re x.re) (fma.f64 -12 (.f64 (pow.f64 x.re 4) 1/4) (.f64 (pow.f64 x.re 4) -3))))) (fma.f64 1/720 (.f64 y.re (fma.f64 30 (pow.f64 x.re 6) (.f64 (.f64 x.re x.re) (.f64 (.f64 (pow.f64 x.re 4) 1/4) 360)))) (.f64 1/48 (pow.f64 (.f64 (.f64 y.re x.re) x.re) 3)))) (.f64 (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) 6))) (fma.f64 (pow.f64 (/.f64 -1 x.im) 4) (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 x.re 4) 1/4) (.f64 y.re y.re)) (.f64 (fma.f64 -12 (.f64 (pow.f64 x.re 4) 1/4) (.f64 (pow.f64 x.re 4) -3)) (.f64 y.re 1/24)))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im)))) (fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))) (.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.re x.re) x.re)) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im)))) (*.f64 1/2 (pow.f64 (/.f64 -1 x.im) 2))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 4) (.f64 (fma.f64 1/2 (.f64 (.f64 y.re y.re) (.f64 (pow.f64 x.re 4) 1/4)) (.f64 (fma.f64 -12 (.f64 (pow.f64 x.re 4) 1/4) (.f64 (pow.f64 x.re 4) -3)) (.f64 y.re 1/24))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))) (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re))) (+.f64 (.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x.im) 2)) (.f64 y.re (.f64 x.re x.re))) (.f64 (fma.f64 1/48 (.f64 y.re (.f64 y.re (.f64 (.f64 x.re x.re) (fma.f64 -12 (.f64 (pow.f64 x.re 4) 1/4) (.f64 (pow.f64 x.re 4) -3))))) (fma.f64 1/720 (.f64 y.re (fma.f64 30 (pow.f64 x.re 6) (.f64 (.f64 x.re x.re) (.f64 (.f64 (pow.f64 x.re 4) 1/4) 360)))) (.f64 1/48 (pow.f64 (.f64 y.re (*.f64 x.re x.re)) 3)))) (pow.f64 (/.f64 -1 x.im) 6)))))
1
(+.f64 1 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 1 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) 1)
(+.f64 1 (+.f64 (.f64 (pow.f64 y.re 2) (+.f64 (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 1 (fma.f64 (.f64 y.re y.re) (fma.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))
(+.f64 1 (fma.f64 (.f64 y.re y.re) (fma.f64 1/2 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
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(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 3))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(exp.f64 (.f64 (.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 1) 1))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
✓	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	23.4b	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 82 to 15 computations (81.7% saved)

series163.0ms (0.7%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	x.re	@	0	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
20.0ms	x.im	@	-inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
17.0ms	x.re	@	inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
16.0ms	x.im	@	0	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
15.0ms	x.re	@	-inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 9706 to 8090 computations (16.6% saved)

rewrite44.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
648×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	154	20
2	1787	20

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-r_binary64`
464×	`associate-l_binary64`
372×	`*-commutative_binary64`
372×	`fma-def_binary64`
215×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	5278
1	1421	4355
2	5871	4026

Stop Event

1×	node limit

Counts

101 → 219

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4)))))
(+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6) (pow.f64 y.im 6))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4))))))
(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))
(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))
(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))
(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))
(cos.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.im)))) (pow.f64 x.im 4))))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 (pow.f64 x.im 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (pow.f64 y.im 2) (+.f64 (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 1/720 (.f64 y.im (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 3)))))) (.f64 -1/6 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 3)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.im)))) (pow.f64 x.im 4)))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 (pow.f64 (/.f64 1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) y.im))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (*.f64 (pow.f64 x.re 2) y.im))))))
(+.f64 (.f64 (-.f64 (.f64 -1/48 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.re 2))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 3)) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2))))))))) (pow.f64 (/.f64 1 x.im) 6)) (+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 (pow.f64 (/.f64 1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) y.im))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (*.f64 (pow.f64 x.re 2) y.im)))))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))) (.f64 (pow.f64 (/.f64 -1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (.f64 1/24 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.im)))))))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))) (+.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (.f64 1/24 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.im))))) (.f64 (-.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (pow.f64 y.im 2) (pow.f64 x.re 2))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 3)) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2))))))))) (pow.f64 (/.f64 -1 x.im) 6)))))
(cos.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.im))
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(pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(-.f64 (+.f64 1 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

Outputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))))
(+.f64 1 (.f64 (.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (*.f64 y.im y.im)))
(fma.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4) (pow.f64 y.im 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) 1) (.f64 1/24 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4) (pow.f64 y.im 4))))
(+.f64 1 (fma.f64 1/24 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 4) (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))))
(+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6) (pow.f64 y.im 6))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4))))))
(+.f64 1 (fma.f64 -1/720 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 6) (pow.f64 y.im 6)) (fma.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 4) (pow.f64 y.im 4))))))
(+.f64 1 (fma.f64 -1/720 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 6) (pow.f64 y.im 6)) (fma.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 1/24 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4) (pow.f64 y.im 4))))))
(+.f64 1 (fma.f64 -1/720 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 6) (fma.f64 1/24 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 4) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(cos.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im))
(cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re)))))
(cos.f64 (*.f64 y.im (log.f64 (fabs.f64 x.re))))
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (.f64 -1/2 (/.f64 (.f64 x.im x.im) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2) (.f64 y.im (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))))))))
(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (fabs.f64 x.re)))) (.f64 x.im (.f64 x.im y.im))) (.f64 x.re x.re)) (cos.f64 (.f64 y.im (log.f64 (fabs.f64 x.re)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 y.im (sin.f64 (.f64 y.im (log.f64 x.re)))) x.re)) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.im)))) (pow.f64 x.im 4))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2) (.f64 y.im (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re)))))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2))) 2))) (.f64 -1/24 (.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)) (/.f64 (.f64 -3 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.re x.re))) 2)) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)))) y.im))) (pow.f64 x.im 4))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (fabs.f64 x.re)))) (.f64 x.im (.f64 x.im y.im))) (.f64 x.re x.re)) (cos.f64 (.f64 y.im (log.f64 (fabs.f64 x.re))))) (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (fabs.f64 x.re)))) (pow.f64 (/.f64 (.f64 y.im 1/2) (.f64 x.re x.re)) 2)) (.f64 (.f64 y.im (.f64 (sin.f64 (.f64 y.im (log.f64 (fabs.f64 x.re)))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (.f64 x.re x.re)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.re)) 2) (.f64 x.re x.re)))))) -1/24)) (pow.f64 x.im 4)))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 y.im (sin.f64 (.f64 y.im (log.f64 x.re)))) x.re)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (fma.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 y.im x.re) x.re)) 2) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (.f64 y.im (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 x.re) 2) (.f64 x.re x.re)) (*.f64 -3 (pow.f64 (/.f64 1 x.re) 4))))) -1/24)) (pow.f64 x.im 4)))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 (pow.f64 x.im 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (pow.f64 y.im 2) (+.f64 (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 1/720 (.f64 y.im (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 3)))))) (.f64 -1/6 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 3)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.im)))) (pow.f64 x.im 4)))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (fma.f64 (pow.f64 x.im 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (.f64 y.im y.im)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)) (/.f64 (.f64 -3 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.re x.re))) 2)) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)))) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2))) (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (fma.f64 1/720 (.f64 y.im (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (pow.f64 (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2) 2)) (.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 3)) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 3))))) (.f64 -1/6 (.f64 1/8 (pow.f64 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)) 3)))))) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2) (.f64 y.im (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re)))))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2))) 2))) (.f64 -1/24 (.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)) (/.f64 (.f64 -3 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.re x.re))) 2)) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)))) y.im))) (pow.f64 x.im 4)))))
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(+.f64 (fma.f64 (pow.f64 x.im 6) (fma.f64 -1/48 (.f64 (/.f64 (.f64 y.im (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re))))) x.re) (/.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 x.re) 2) (.f64 x.re x.re)) (.f64 -3 (pow.f64 (/.f64 1 x.re) 4))) x.re)) (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (neg.f64 (fma.f64 1/720 (.f64 y.im (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 x.re) 2) (pow.f64 x.re 4)) (.f64 30 (/.f64 1 (pow.f64 x.re 6))))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))))))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 y.im (sin.f64 (.f64 y.im (log.f64 x.re)))) x.re)) (.f64 (fma.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (/.f64 (/.f64 y.im x.re) x.re)) 2) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (.f64 y.im (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 x.re) 2) (.f64 x.re x.re)) (.f64 -3 (pow.f64 (/.f64 1 x.re) 4))))) -1/24)) (pow.f64 x.im 4)))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))))
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(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (fma.f64 1/24 (.f64 y.im (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2) (.f64 x.im x.im)))) (pow.f64 x.re 4))) (fma.f64 1/720 (.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (pow.f64 x.im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 x.im) 3)) (pow.f64 (fabs.f64 x.im) 3))) (.f64 y.im (pow.f64 x.re 6))) (.f64 y.im (log.f64 (fabs.f64 x.im))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im))) (fma.f64 1/24 (.f64 y.im (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 x.im) 2) (.f64 x.im x.im)) (.f64 -3 (pow.f64 (/.f64 1 x.im) 4))) (pow.f64 x.re 4))) (fma.f64 1/720 (.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 x.im) 2) (pow.f64 x.im 4)) (.f64 30 (/.f64 1 (pow.f64 x.im 6)))) (.f64 y.im (pow.f64 x.re 6))) (*.f64 y.im (log.f64 x.im)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))
(*.f64 y.im (log.f64 (fabs.f64 x.re)))
(*.f64 y.im (log.f64 x.re))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 1/2 (.f64 (pow.f64 x.im 2) (*.f64 (pow.f64 (/.f64 1 x.re) 2) y.im))))
(fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 (.f64 (.f64 x.im x.im) 1/2) (*.f64 y.im (pow.f64 (/.f64 1 x.re) 2))))
(-.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 y.im 1/2)) (pow.f64 (/.f64 1 x.re) 2)) (neg.f64 (*.f64 (log.f64 x.re) y.im)))
(fma.f64 (.f64 x.im x.im) (.f64 1/2 (.f64 y.im (/.f64 (/.f64 1 x.re) x.re))) (.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 (pow.f64 (/.f64 1 x.re) 4) y.im))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 1/2 (.f64 (pow.f64 x.im 2) (*.f64 (pow.f64 (/.f64 1 x.re) 2) y.im)))))
(fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 x.im 4) (.f64 -12 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2))) (.f64 y.im (pow.f64 (/.f64 1 x.re) 4))) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 (.f64 (.f64 x.im x.im) 1/2) (.f64 y.im (pow.f64 (/.f64 1 x.re) 2)))))
(fma.f64 1/24 (.f64 (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))) (.f64 y.im (pow.f64 (/.f64 1 x.re) 4))) (-.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 y.im 1/2)) (pow.f64 (/.f64 1 x.re) 2)) (neg.f64 (*.f64 (log.f64 x.re) y.im))))
(fma.f64 1/24 (.f64 (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))) (.f64 y.im (pow.f64 (/.f64 1 x.re) 4))) (fma.f64 (.f64 x.im x.im) (.f64 1/2 (.f64 y.im (/.f64 (/.f64 1 x.re) x.re))) (.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 (pow.f64 (/.f64 1 x.re) 4) y.im))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 (pow.f64 (/.f64 1 x.re) 2) y.im))) (.f64 1/720 (.f64 y.im (.f64 (+.f64 (.f64 360 (.f64 (pow.f64 x.im 2) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 30 (pow.f64 (pow.f64 x.im 2) 3))) (pow.f64 (/.f64 1 x.re) 6)))))))
(fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 x.im 4) (.f64 -12 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2))) (.f64 y.im (pow.f64 (/.f64 1 x.re) 4))) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (fma.f64 1/2 (.f64 (.f64 x.im x.im) (.f64 y.im (pow.f64 (/.f64 1 x.re) 2))) (.f64 (.f64 1/720 y.im) (.f64 (fma.f64 360 (.f64 (.f64 x.im x.im) (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2)) (.f64 30 (pow.f64 (.f64 x.im x.im) 3))) (pow.f64 (/.f64 1 x.re) 6))))))
(fma.f64 1/24 (.f64 (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))) (.f64 y.im (pow.f64 (/.f64 1 x.re) 4))) (-.f64 (fma.f64 1/720 (.f64 (fma.f64 360 (.f64 x.im (.f64 x.im (.f64 (pow.f64 x.im 4) 1/4))) (.f64 (pow.f64 x.im 6) 30)) (.f64 y.im (pow.f64 (/.f64 1 x.re) 6))) (.f64 (.f64 (.f64 x.im x.im) (.f64 y.im 1/2)) (pow.f64 (/.f64 1 x.re) 2))) (neg.f64 (*.f64 (log.f64 x.re) y.im))))
(fma.f64 1/24 (.f64 (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))) (.f64 y.im (pow.f64 (/.f64 1 x.re) 4))) (fma.f64 (log.f64 x.re) y.im (fma.f64 1/720 (.f64 (fma.f64 360 (.f64 x.im (.f64 x.im (.f64 (pow.f64 x.im 4) 1/4))) (.f64 (pow.f64 x.im 6) 30)) (.f64 y.im (/.f64 1 (pow.f64 x.re 6)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 y.im 1/2)) (/.f64 (/.f64 1 x.re) x.re)))))
(.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))
(+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (*.f64 (pow.f64 x.im 2) y.im))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x.re) 2)) (.f64 (*.f64 x.im x.im) y.im)))
(-.f64 (.f64 1/2 (.f64 y.im (.f64 (.f64 x.im x.im) (pow.f64 (/.f64 -1 x.re) 2)))) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4)))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (*.f64 (pow.f64 x.im 2) y.im)))))
(fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 x.im 4) (.f64 -12 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x.re) 2)) (.f64 (.f64 x.im x.im) y.im))))
(fma.f64 1/24 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.re) 4) (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))))) (-.f64 (.f64 1/2 (.f64 y.im (.f64 (.f64 x.im x.im) (pow.f64 (/.f64 -1 x.re) 2)))) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 1/720 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.re) 6) (+.f64 (.f64 360 (.f64 (pow.f64 x.im 2) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 30 (pow.f64 (pow.f64 x.im 2) 3)))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4)))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 (pow.f64 x.im 2) y.im))))))
(fma.f64 1/720 (.f64 (.f64 y.im (pow.f64 (/.f64 -1 x.re) 6)) (fma.f64 360 (.f64 (.f64 x.im x.im) (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2)) (.f64 30 (pow.f64 (.f64 x.im x.im) 3)))) (fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 x.im 4) (.f64 -12 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x.re) 2)) (.f64 (.f64 x.im x.im) y.im)))))
(fma.f64 1/720 (.f64 (fma.f64 360 (.f64 x.im (.f64 x.im (.f64 (pow.f64 x.im 4) 1/4))) (.f64 (pow.f64 x.im 6) 30)) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 6))) (fma.f64 1/24 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.re) 4) (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))))) (-.f64 (.f64 1/2 (.f64 y.im (.f64 (.f64 x.im x.im) (pow.f64 (/.f64 -1 x.re) 2)))) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(-.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(-.f64 (+.f64 1 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.im (log.f64 x.im))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	5.5b	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))

Compiler

Compiled 120 to 29 computations (75.8% saved)

series4.6s (19.5%)

Counts

2 → 33

Calls

18 calls:

Time	Variable		Point	Expression
1.8s	y.im	@	-inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
1.7s	y.im	@	inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
618.0ms	y.im	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
238.0ms	x.im	@	-inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
136.0ms	x.im	@	-inf	(*.f64 y.im (log.f64 x.im))

Compiler

Compiled 429675 to 270020 computations (37.2% saved)

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log-prod_binary64`
360×	`pow2_binary64`
318×	`fma-def_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	299	23
2	3494	23

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(*.f64 y.im (log.f64 x.im))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.im (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im y.im)) 2)) (log.f64 (cbrt.f64 (pow.f64 x.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x.im y.im))) (log.f64 (sqrt.f64 (pow.f64 x.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.im (log.f64 x.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.im y.im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x.im y.im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y.im (log.f64 x.im))) 1))))))

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
601×	`fma-neg_binary64`
375×	`log-prod_binary64`
324×	`unswap-sqr_binary64`
292×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	4294970015
1	602	2465
2	1878	2379
3	6936	2352

Stop Event

1×	node limit

Counts

102 → 109

Calls

Call 1

Inputs
(cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))
(+.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))) (+.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))))
(+.f64 0 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 1) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 1))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))) (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))) (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3) (fma.f64 (.f64 y.im (log.f64 x.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (cos.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (sin.f64 (/.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im)))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im)))))))))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.im))))))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))))) 1)
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) 1))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) 1))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (cos.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (sin.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im))))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (cos.f64 (fma.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) 1 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (sin.f64 (fma.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) 1 (.f64 y.im (log.f64 x.im))))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))))
(.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) 1)
(.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im)))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im)))))) (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 2) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 2) (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 2) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 2)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))) 1)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (exp.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im)))))) 1))
(fma.f64 1 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))))
(fma.f64 1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 1 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) 1))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) 2) (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(+.f64 0 (*.f64 y.im (log.f64 x.im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x.im y.im)) 2)) (log.f64 (cbrt.f64 (pow.f64 x.im y.im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x.im y.im))) (log.f64 (sqrt.f64 (pow.f64 x.im y.im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) 1)
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)
(pow.f64 (*.f64 y.im (log.f64 x.im)) 1)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3/2) 2/3)
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 3)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 1/6) 6)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 1/4) 4)
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))
(log.f64 (pow.f64 x.im y.im))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(log1p.f64 (-.f64 (pow.f64 x.im y.im) 1))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 x.im))) 1))

Outputs
(cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (.f64 -1 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)) (neg.f64 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(fma.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)) (fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (pow.f64 (atan2.f64 x.im x.re) 2)) (neg.f64 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (fma.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))))
(fma.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (+.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.re (*.f64 y.re -1/2))) 1)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))) (+.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (cos.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(fma.f64 1/6 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)) (fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (pow.f64 (atan2.f64 x.im x.re) 2)) (neg.f64 (.f64 (sin.f64 (neg.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(fma.f64 1/6 (.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (fma.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))))
(+.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (+.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.re (.f64 y.re -1/2))) 1)) (.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 1/6 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 y.im (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 y.im (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 y.im (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 y.im (log.f64 x.im))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(+.f64 0 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (neg.f64 (log.f64 x.im))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2)))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im)))) 1) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im)))) 1))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
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(*.f64 y.im (log.f64 x.im))
(pow.f64 (*.f64 y.im (log.f64 x.im)) 1)
(*.f64 y.im (log.f64 x.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2) 1/2)
(*.f64 y.im (log.f64 x.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3) 1/3)
(*.f64 y.im (log.f64 x.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3/2) 2/3)
(.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3/2)))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) 3)
(*.f64 y.im (log.f64 x.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 1/6) 6)
(*.f64 y.im (log.f64 x.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 1/4) 4)
(*.f64 y.im (log.f64 x.im))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(*.f64 y.im (log.f64 x.im))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x.im y.im) 1)))
(*.f64 y.im (log.f64 x.im))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) 3))
(*.f64 y.im (log.f64 x.im))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(log1p.f64 (-.f64 (pow.f64 x.im y.im) 1))
(*.f64 y.im (log.f64 x.im))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 x.im))) 1))
(*.f64 y.im (log.f64 x.im))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
✓	0.5b	(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	11.6b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))

Compiler

Compiled 147 to 23 computations (84.4% saved)

series1.3s (5.5%)

Counts

3 → 128

Calls

36 calls:

Time	Variable		Point	Expression
301.0ms	x.im	@	-inf	(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
298.0ms	x.im	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
189.0ms	x.im	@	-inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
141.0ms	x.im	@	inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
39.0ms	y.im	@	0	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))

Compiler

Compiled 103060 to 75931 computations (26.3% saved)

rewrite359.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
339×	`pow-prod-down_binary64`
315×	`pow2_binary64`
220×	`pow-to-exp_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	243	52
2	2799	52

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (*.f64 2/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (*.f64 1/2 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (*.f64 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y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 2/3)) (cbrt.f64 (exp.f64 (*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 2/3))))) (*.f64 1/3 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 5/6)) (*.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 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(log.f64 x.im)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 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1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) (*.f64 1/3 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) (*.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (*.f64 2 (*.f64 1/3 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 2) (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1) 1))))))

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

687×	`associate-r_binary64`
525×	`associate-l_binary64`
400×	`times-frac_binary64`
369×	`fma-def_binary64`
274×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	637	4294978552
1	2095	10072

Stop Event

1×	node limit

Counts

253 → 248

Calls

Call 1

Inputs
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 (pow.f64 y.re 3) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 x.im) 3) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2)))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(pow.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 x.im) y.im))) 1/3)
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(.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1)
(.f64 1 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))
(.f64 2 (.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(.f64 3 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 1)
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 3)
(pow.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)
(sqrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 2))
(cbrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 1/3)))
(exp.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 1) 1))

Outputs
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (neg.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 x.im) y.im)))))
(-.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (fma.f64 -1 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 x.im) y.im))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (*.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (-.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) -1/2)) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 (pow.f64 y.re 3) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (*.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))))
(+.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (fma.f64 -1 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 (log.f64 x.im) y.im))) (fma.f64 1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 y.re 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))))))
(+.f64 (-.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) 1/6)) (pow.f64 y.re 3))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 -1 (.f64 (.f64 (log.f64 x.im) y.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2))))))
(+.f64 (fma.f64 -1 (.f64 (.f64 (log.f64 x.im) y.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (.f64 (.f64 y.im y.im) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2)))))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 x.im) 3) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2)))))))
(fma.f64 1/6 (.f64 (pow.f64 y.im 3) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 3))) (+.f64 (fma.f64 -1 (.f64 (.f64 (log.f64 x.im) y.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (.f64 (.f64 y.im y.im) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) 2))))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3))) (-.f64 (fma.f64 -1/2 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 x.im) y.im))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 x.im) y.im))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.im) y.im))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 x.im)))))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 x.im)))) 1/3) 2) 1/3))) (pow.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.im) y.im))) 1/3))
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(.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1/6) 2)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/3 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 2)) (.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (.f64 1/3 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(pow.f64 (exp.f64 1) (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 1) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 1/3))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 1/3))) 1)
(+.f64 1 (expm1.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
(pow.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (exp.f64 1) 1) (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) 1) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2))) (cbrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2))) (cbrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 2)) (cbrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) 2)) (cbrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))) (cbrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (cbrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))) (sqrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (sqrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (sqrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(pow.f64 (cbrt.f64 (E.f64)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 1) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (cbrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2))) (sqrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2))) (sqrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (fabs.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (sqrt.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (sqrt.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(sqrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 2/3)))
(sqrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 1/3))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 3))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 2))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 1/3) 1))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 0)
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 2 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (.f64 2 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 0 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 1)
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))) 1)
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 1 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 2))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2) (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 2 (.f64 1/6 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 3 (.f64 1/3 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 1)
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 2) 1/2)
(sqrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))
(fabs.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 3) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 3)
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 2)
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(sqrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 2))
(sqrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))
(fabs.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) 3))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 1/3)))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) 1))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 1/3))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 3))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))) 2))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/3 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) 1) 1))
(.f64 1/3 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

eval884.0ms (3.8%)

Compiler: Compiled 79124 to 31254 computations (60.5% saved)

prune565.0ms (2.4%)

Pruning

45 alts after pruning (45 fresh and 0 done)

	Pruned	Kept	Total
New	1537	35	1572
Fresh	16	10	26
Picked	1	0	1
Done	4	0	4
Total	1558	45	1603

Error

2.7b

Counts

1603 → 45

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.9b	(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
	30.0b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
	34.2b	(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	17.0b	(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
▶	4.3b	(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	43.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (cos.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (sin.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im)))))))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im)))))))
	39.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4)))))
	39.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 3 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 3 (.f64 y.im (log.f64 x.im)))))))
	43.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
	43.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 (.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (*.f64 y.im y.im))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (.f64 1/3 (cos.f64 (*.f64 (log.f64 x.im) y.im)))))
	39.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 3))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
	44.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1))))))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)))))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
	32.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
	51.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))
	8.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	52.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 1/6) 6)) 2))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 3))))
	35.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
	33.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
▶	19.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	21.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
	21.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))))
	16.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	16.9b	(.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))) 1)
	48.7b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 1/2 (.f64 x.re (.f64 x.re y.re)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	6.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	17.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	37.2b	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
	26.2b	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
	35.7b	1

Compiler

Compiled 2687 to 1625 computations (39.5% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.0b	(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 76 to 21 computations (72.4% saved)

series50.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	x.im	@	inf	(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
8.0ms	x.re	@	inf	(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
5.0ms	x.re	@	0	(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
5.0ms	x.im	@	0	(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
4.0ms	x.im	@	-inf	(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

Compiler

Compiled 5397 to 4009 computations (25.7% saved)

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
444×	`pow-unpow_binary64`
421×	`fma-def_binary64`
375×	`pow2_binary64`
253×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	292	18
2	3693	18

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (exp.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 2) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (*.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (E.f64) (*.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 2/3) (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (exp.f64 1/3) (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 (E.f64) (*.f64 1/3 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))))

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

590×	`unswap-sqr_binary64`
467×	`associate-r_binary64`
388×	`associate-l_binary64`
301×	`*-commutative_binary64`
285×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	4830
1	1350	4069
2	5466	3809

Stop Event

1×	node limit

Counts

83 → 165

Calls

Call 1

Inputs
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (pow.f64 x.re 2))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (pow.f64 x.re 2))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2)) (.f64 1/24 (.f64 y.re (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 x.re 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (pow.f64 x.re 2))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (.f64 (pow.f64 x.re 6) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/720 (.f64 y.re (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 3)))))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 y.re 2) (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 1/6 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 3)))))) (+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2)) (.f64 1/24 (.f64 y.re (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 x.re 4))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (.f64 (pow.f64 x.im 2) (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (pow.f64 (/.f64 1 x.re) 2))))))
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(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
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(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re))))
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(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 y.re (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 (pow.f64 x.im 6) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 y.re 2) (+.f64 (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (+.f64 (.f64 1/6 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 3)) (.f64 1/720 (.f64 y.re (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 3)))))))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2)) (.f64 1/24 (.f64 y.re (+.f64 (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))))) (.f64 (pow.f64 x.im 4) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 y.re (.f64 (pow.f64 x.re 2) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))))))
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(+.f64 (.f64 (pow.f64 (/.f64 1 x.im) 4) (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 y.re (pow.f64 x.re 2))) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.re))))) (+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 2) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (pow.f64 x.re 2)))) (+.f64 (.f64 1/720 (.f64 y.re (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))))) (.f64 1/6 (pow.f64 (.f64 1/2 (.f64 y.re (pow.f64 x.re 2))) 3)))) (pow.f64 (/.f64 1 x.im) 6))) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 y.re (.f64 (pow.f64 x.re 2) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) y.re)))))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (/.f64 -1 x.im) 4) (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.re)))))))
(+.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 2) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (pow.f64 x.re 2)))) (+.f64 (.f64 1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 3)) (.f64 1/720 (.f64 y.re (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)))))))) (pow.f64 (/.f64 -1 x.im) 6))) (+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (/.f64 -1 x.im) 4) (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.re)) 2)) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.re))))))))
(exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im)))
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(+.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.re 2))))))
(+.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (pow.f64 y.re 3)))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.re 2)))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 2) (pow.f64 (.f64 -1 (atan2.f64 x.im x.re)) 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (.f64 -1 (atan2.f64 x.im x.re)) 3) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 2) (pow.f64 (.f64 -1 (atan2.f64 x.im x.re)) 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (exp.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (E.f64) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (exp.f64 2/3) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (exp.f64 1/3) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 (E.f64) (.f64 1/3 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

Outputs
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (fabs.f64 x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (pow.f64 x.re 2))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 y.re (.f64 x.re x.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1/2 (.f64 (/.f64 (/.f64 (pow.f64 (fabs.f64 x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re y.re))) (/.f64 (pow.f64 (fabs.f64 x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 1/2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 x.im y.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im) (/.f64 (*.f64 x.re x.re) x.im)) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (pow.f64 x.re 2))) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) 2)) (.f64 1/24 (.f64 y.re (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.im 2)) 2))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.im 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 x.re 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 y.re (.f64 x.re x.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (fma.f64 1/2 (pow.f64 (/.f64 (.f64 1/2 y.re) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) 2) (.f64 (.f64 1/24 y.re) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 x.re 4))))
(fma.f64 1/2 (.f64 (/.f64 (/.f64 (pow.f64 (fabs.f64 x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re y.re))) (fma.f64 (fma.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (.f64 x.im x.im))) 2) (.f64 y.re (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.im)) 2) (.f64 x.im x.im)) (/.f64 -3 (/.f64 (.f64 x.im x.im) (pow.f64 (/.f64 1 (fabs.f64 x.im)) 2)))) 1/24))) (*.f64 (/.f64 (pow.f64 (fabs.f64 x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 x.re 4)) (/.f64 (pow.f64 (fabs.f64 x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(fma.f64 1/2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 x.im y.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) x.im) (/.f64 (.f64 x.re x.re) x.im)) (fma.f64 (fma.f64 1/2 (pow.f64 (.f64 1/2 (/.f64 y.re (.f64 x.im x.im))) 2) (.f64 y.re (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 x.im) 2) (.f64 x.im x.im)) (.f64 -3 (pow.f64 (/.f64 1 x.im) 4))) 1/24))) (/.f64 (.f64 (pow.f64 x.im y.re) (pow.f64 x.re 4)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im 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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(fma.f64 1/2 (/.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (.f64 y.re (.f64 x.re x.re)))) (fma.f64 (pow.f64 x.re 6) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 1/720 (.f64 y.re (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) 2)) (.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3)) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 3))))) (fma.f64 1/48 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))) (.f64 1/6 (pow.f64 (/.f64 (.f64 1/2 y.re) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) 3))))) (+.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (fma.f64 1/2 (pow.f64 (/.f64 (.f64 1/2 y.re) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) 2) (.f64 (.f64 1/24 y.re) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.im x.im))) 2) (pow.f64 (sqrt.f64 (.f64 x.im x.im)) 2)))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 x.re 4))))))
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(pow.f64 (hypot.f64 x.im x.re) y.re)
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(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (neg.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))))
(-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 2) (pow.f64 (.f64 -1 (atan2.f64 x.im x.re)) 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (.f64 y.im y.im) (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 2))) (neg.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re)))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (.f64 (.f64 y.im (.f64 y.im (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 2))) (.f64 1/2 (pow.f64 (hypot.f64 x.im x.re) y.re))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (.f64 -1 (atan2.f64 x.im x.re)) 3) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 2) (pow.f64 (.f64 -1 (atan2.f64 x.im x.re)) 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(fma.f64 1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 3))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (.f64 y.im y.im) (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 2))) (neg.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re))))))
(+.f64 (-.f64 (.f64 (.f64 y.im (.f64 y.im (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 2))) (.f64 1/2 (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (fma.f64 1/6 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 3))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 (fma.f64 (.f64 (.f64 y.im y.im) (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 2) 1/2) (.f64 y.im (.f64 (neg.f64 (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (fma.f64 1/6 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (*.f64 (pow.f64 y.im 3) (pow.f64 (neg.f64 (atan2.f64 x.im x.re)) 3))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 0 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.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 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 1 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (exp.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1 (*.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (E.f64) (+.f64 (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (E.f64) (.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (exp.f64 2/3) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (exp.f64 1/3) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (pow.f64 (exp.f64 2/3) (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (pow.f64 (exp.f64 1/3) (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(.f64 (pow.f64 (exp.f64 2/3) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (pow.f64 (exp.f64 1/3) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (E.f64) (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 (E.f64) (.f64 1/3 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (pow.f64 (E.f64) (.f64 2/3 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) (pow.f64 (E.f64) (.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/3)))
(.f64 (pow.f64 (E.f64) (.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 2/3)) (pow.f64 (E.f64) (.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1/3)))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))
(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 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)))

localize8.0ms (0%)

Compiler: Compiled 23 to 9 computations (60.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
✓	0.1b	(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	1.9b	(*.f64 y.im (atan2.f64 x.im x.re))

Compiler

Compiled 89 to 16 computations (82% saved)

series25.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y.im	@	0	(expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	x.im	@	-inf	(expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	x.im	@	0	(expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	x.re	@	0	(expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	y.im	@	inf	(expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))

Compiler

Compiled 1766 to 1289 computations (27% saved)

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`pow1_binary64`
568×	`expm1-log1p-u_binary64`
567×	`add-log-exp_binary64`
567×	`log1p-expm1-u_binary64`
553×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	138	23
2	1560	23

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(*.f64 y.im (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y.im (atan2.f64 x.im x.re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 x.im x.re) y.im)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2) (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2) (*.f64 (cbrt.f64 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y.im) 2) (*.f64 (cbrt.f64 y.im) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 x.im x.re)) (*.f64 (sqrt.f64 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2)) (cbrt.f64 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y.im (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (sqrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1) (+.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))))

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

720×	`times-frac_binary64`
509×	`log-prod_binary64`
440×	`unswap-sqr_binary64`
438×	`fma-def_binary64`
286×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1190
1	286	1181
2	998	1176
3	4780	1176

Stop Event

1×	node limit

Counts

138 → 62

Calls

Call 1

Inputs
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (atan2.f64 x.im x.re) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (.f64 y.im (atan2.f64 x.im x.re)) 1)
(.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2) (.f64 (cbrt.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (pow.f64 (cbrt.f64 y.im) 2) (.f64 (cbrt.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (sqrt.f64 (atan2.f64 x.im x.re)) (.f64 (sqrt.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (sqrt.f64 y.im) (.f64 (sqrt.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (.f64 y.im (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2)) (cbrt.f64 (atan2.f64 x.im x.re)))
(.f64 (.f64 y.im (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))
(.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))
(.f64 (.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) -1)
(-.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1)
(.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (sqrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1) (+.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1))
(pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))

Outputs
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.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 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.im)
(+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2)))
(fma.f64 1/2 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2) (.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 1/6 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3) (fma.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 1/6 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 2))))
(fma.f64 (atan2.f64 x.im x.re) y.im (.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2) (+.f64 1/2 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) 1/6))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (atan2.f64 x.im x.re) 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (atan2.f64 x.im x.re) 4)) (fma.f64 1/6 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3) (fma.f64 1/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (atan2.f64 x.im x.re) 4)) (fma.f64 1/6 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2)))))
(fma.f64 1/24 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 4) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2) (+.f64 1/2 (.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1/6)))))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(*.f64 (atan2.f64 x.im x.re) y.im)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(*.f64 (atan2.f64 x.im x.re) y.im)
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(-.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(*.f64 (atan2.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.im)
(.f64 (.f64 y.im (atan2.f64 x.im x.re)) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2) (.f64 (cbrt.f64 (atan2.f64 x.im x.re)) y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (pow.f64 (cbrt.f64 y.im) 2) (.f64 (cbrt.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (sqrt.f64 (atan2.f64 x.im x.re)) (.f64 (sqrt.f64 (atan2.f64 x.im x.re)) y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (sqrt.f64 y.im) (.f64 (sqrt.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (.f64 y.im (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2)) (cbrt.f64 (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (.f64 y.im (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(*.f64 (atan2.f64 x.im x.re) y.im)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(*.f64 (atan2.f64 x.im x.re) y.im)
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) -1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (cbrt.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (sqrt.f64 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (sqrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3) -1) (+.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 2 y.im)) (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 2)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1) (+.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 1))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3) 1/3)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2)
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(log.f64 (exp.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (log.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
✓	1.0b	(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	9.5b	(cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))

Compiler

Compiled 101 to 17 computations (83.2% saved)

series146.0ms (0.6%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	x.re	@	0	(cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
19.0ms	x.im	@	-inf	(cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
18.0ms	x.re	@	inf	(cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
18.0ms	x.im	@	0	(cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
13.0ms	x.im	@	inf	(cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))

Compiler

Compiled 9706 to 8090 computations (16.6% saved)

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`pow1_binary64`
730×	`expm1-log1p-u_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
712×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	175	20
2	2002	20

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) (cos.f64 1)) (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)) (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y.im) 2) (*.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) 1) (+.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))))

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-r_binary64`
493×	`associate-l_binary64`
409×	`fma-def_binary64`
392×	`*-commutative_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	5686
1	1527	4623
2	6181	4294

Stop Event

1×	node limit

Counts

119 → 242

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4)))))
(+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6) (pow.f64 y.im 6))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4))))))
(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))
(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))
(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))
(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))
(cos.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.im)))) (pow.f64 x.im 4))))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 (pow.f64 x.im 6) (-.f64 (.f64 -1/48 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (pow.f64 y.im 2) (+.f64 (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))))) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 1/720 (.f64 y.im (+.f64 (.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2) 2))) (.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 3)))))) (.f64 -1/6 (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 3)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.im)))) (pow.f64 x.im 4)))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 (pow.f64 (/.f64 1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) y.im))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (*.f64 (pow.f64 x.re 2) y.im))))))
(+.f64 (.f64 (-.f64 (.f64 -1/48 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.re 2))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 3)) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2))))))))) (pow.f64 (/.f64 1 x.im) 6)) (+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 (pow.f64 (/.f64 1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) y.im))))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 1 x.im) 2) (*.f64 (pow.f64 x.re 2) y.im)))))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))) (.f64 (pow.f64 (/.f64 -1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (.f64 1/24 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.im)))))))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 (/.f64 -1 x.im) 2) (.f64 (pow.f64 x.re 2) y.im)))) (+.f64 (.f64 (pow.f64 (/.f64 -1 x.im) 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (.f64 1/24 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) y.im))))) (.f64 (-.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.re 2)) 2)) (.f64 -3 (pow.f64 (pow.f64 x.re 2) 2))) (.f64 (pow.f64 y.im 2) (pow.f64 x.re 2))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) y.im)) 3)) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 (pow.f64 x.re 2) 3)) (.f64 360 (.f64 (pow.f64 x.re 2) (pow.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2))))))))) (pow.f64 (/.f64 -1 x.im) 6)))))
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(*.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)))
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(*.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 1)
(pow.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2))
(log.f64 (exp.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(log1p.f64 (expm1.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(exp.f64 (log.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(+.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) -1)
(-.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(*.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)
(*.f64 1 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(.f64 (pow.f64 (cbrt.f64 y.im) 2) (.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))
(.f64 (sqrt.f64 y.im) (.f64 (sqrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))
(.f64 (.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))
(.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 3) 1) (+.f64 (.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) (+.f64 1 (.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) 1) (+.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 2))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))

Outputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))))
(+.f64 1 (.f64 (.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (*.f64 y.im y.im)))
(fma.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4) (pow.f64 y.im 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) 1) (.f64 1/24 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4) (pow.f64 y.im 4))))
(+.f64 1 (fma.f64 1/24 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 4) (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))))
(+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6) (pow.f64 y.im 6))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 y.im 2))) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (pow.f64 y.im 4))))))
(+.f64 1 (fma.f64 -1/720 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 6) (pow.f64 y.im 6)) (fma.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 1/24 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 4) (pow.f64 y.im 4))))))
(+.f64 1 (fma.f64 -1/720 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 6) (pow.f64 y.im 6)) (fma.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 1/24 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4) (pow.f64 y.im 4))))))
(+.f64 1 (fma.f64 -1/720 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 6) (fma.f64 1/24 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 4) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(cos.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im))
(cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re)))))
(cos.f64 (*.f64 y.im (log.f64 (fabs.f64 x.re))))
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (.f64 -1/2 (/.f64 (.f64 (.f64 x.im x.im) (.f64 y.im (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))))) (pow.f64 (sqrt.f64 (*.f64 x.re x.re)) 2))))
(fma.f64 -1/2 (/.f64 x.im (/.f64 (/.f64 (/.f64 (.f64 x.re x.re) y.im) (sin.f64 (.f64 y.im (log.f64 (fabs.f64 x.re))))) x.im)) (cos.f64 (*.f64 y.im (log.f64 (fabs.f64 x.re)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 x.im x.im) (sin.f64 (.f64 y.im (log.f64 x.re)))) x.re) (/.f64 y.im x.re)) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) y.im)) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) 2))) (.f64 1/24 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 x.re 2))) y.im)) (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2))) (.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 x.re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 x.re 2)) 2)))) y.im)))) (pow.f64 x.im 4))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (fma.f64 -1/2 (/.f64 (.f64 (.f64 x.im x.im) (.f64 y.im (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))))) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)) (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re))))) (pow.f64 (.f64 1/2 (/.f64 y.im (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2))) 2))) (.f64 (.f64 1/24 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (.f64 x.re x.re)))))) (.f64 y.im (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 x.re x.re))) 2) (pow.f64 (sqrt.f64 (.f64 x.re x.re)) 2)) (/.f64 (.f64 -12 (pow.f64 (/.f64 1/2 (sqrt.f64 (.f64 x.re x.re))) 2)) (pow.f64 (sqrt.f64 (*.f64 x.re x.re)) 2)))))) (pow.f64 x.im 4))))
(+.f64 (fma.f64 -1/2 (/.f64 x.im (/.f64 (/.f64 (/.f64 (.f64 x.re x.re) y.im) (sin.f64 (.f64 y.im (log.f64 (fabs.f64 x.re))))) x.im)) (cos.f64 (.f64 y.im (log.f64 (fabs.f64 x.re))))) (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (fabs.f64 x.re)))) (pow.f64 (/.f64 1/2 (/.f64 (.f64 x.re x.re) y.im)) 2)) (.f64 (.f64 (.f64 y.im (sin.f64 (.f64 y.im (log.f64 (fabs.f64 x.re))))) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 x.re)) 2) (.f64 x.re x.re)) (/.f64 -3 (/.f64 (*.f64 x.re x.re) (pow.f64 (/.f64 1 (fabs.f64 x.re)) 2))))) -1/24)) (pow.f64 x.im 4)))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 x.im x.im) (sin.f64 (.f64 y.im (log.f64 x.re)))) x.re) (/.f64 y.im x.re)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (fma.f64 -1/2 (.f64 (pow.f64 (.f64 (/.f64 1/2 x.re) (/.f64 y.im x.re)) 2) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 x.re) 2) (.f64 x.re x.re)) (.f64 -3 (pow.f64 (/.f64 1 x.re) 4))) (.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re))))) -1/24)) (pow.f64 x.im 4)))
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(fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 x.im 4) (.f64 -12 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 x.im x.im)) y.im))))
(fma.f64 1/24 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.re) 4) (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))))) (-.f64 (.f64 1/2 (.f64 (.f64 x.im x.im) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 2)))) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 1/720 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.re) 6) (+.f64 (.f64 360 (.f64 (pow.f64 x.im 2) (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 30 (pow.f64 (pow.f64 x.im 2) 3)))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (pow.f64 x.im 2) 2)) (.f64 -12 (pow.f64 (.f64 1/2 (pow.f64 x.im 2)) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4)))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 (pow.f64 x.im 2) y.im))))))
(fma.f64 1/720 (.f64 y.im (.f64 (fma.f64 360 (.f64 (.f64 x.im x.im) (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2)) (.f64 30 (pow.f64 (.f64 x.im x.im) 3))) (pow.f64 (/.f64 -1 x.re) 6))) (fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 x.im 4) (.f64 -12 (pow.f64 (.f64 (.f64 x.im x.im) 1/2) 2))) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 -1 x.re) 2) (.f64 x.im x.im)) y.im)))))
(fma.f64 1/720 (.f64 (fma.f64 360 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 x.im 4) 1/4)) (.f64 (pow.f64 x.im 6) 30)) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 6))) (fma.f64 1/24 (.f64 y.im (.f64 (pow.f64 (/.f64 -1 x.re) 4) (fma.f64 -12 (.f64 (pow.f64 x.im 4) 1/4) (.f64 -3 (pow.f64 x.im 4))))) (-.f64 (.f64 1/2 (.f64 (.f64 x.im x.im) (.f64 y.im (pow.f64 (/.f64 -1 x.re) 2)))) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(+.f64 (.f64 (cos.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) (cos.f64 1)) (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) (sin.f64 1)))
(fma.f64 (cos.f64 (+.f64 1 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (cos.f64 1) (.f64 (sin.f64 (+.f64 1 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 1)))
(fma.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) 1)) (cos.f64 1) (*.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) 1)) (sin.f64 1)))
(-.f64 (+.f64 1 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 1)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 1 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)) (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
(*.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 1)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3) 1/3)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (exp.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (log.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) -1)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(-.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 1 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 y.im) 2) (.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (sqrt.f64 y.im) (.f64 (sqrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 3) 1) (+.f64 (.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) (+.f64 1 (.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) -1) (fma.f64 (+.f64 1 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 1 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) 1) 3)) (fma.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) 1) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) 1) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)) 1) (+.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1) 1))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3) 1/3)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 2))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.4b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 125 to 31 computations (75.2% saved)

eval809.0ms (3.5%)

Compiler: Compiled 67755 to 31905 computations (52.9% saved)

prune517.0ms (2.2%)

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	1352	10	1362
Fresh	1	39	40
Picked	1	0	1
Done	3	1	4
Total	1357	50	1407

Error

2.7b

Counts

1407 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	50.8b	(.f64 (fma.f64 1/2 (.f64 (.f64 x.re (.f64 x.re y.re)) (.f64 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (/.f64 1 x.im) 2))) (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))) 1)
✓	16.9b	(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
	30.0b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
	34.2b	(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	17.0b	(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
	17.7b	(.f64 (pow.f64 (exp.f64 1) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	43.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (cos.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (sin.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im)))))))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im)))))))
	39.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4)))))
	39.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 3 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 3 (.f64 y.im (log.f64 x.im)))))))
	43.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
	43.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 (.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (*.f64 y.im y.im))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (.f64 1/3 (cos.f64 (*.f64 (log.f64 x.im) y.im)))))
	39.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 3))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
	44.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1))))))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)))))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
	32.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
	51.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))
	8.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	52.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 1/6) 6)) 2))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 3))))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))))
	20.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))
	35.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
	33.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
	39.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
	41.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))))
	42.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.re))))))
	42.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))))))
	21.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
	16.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	16.9b	(.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))) 1)
	48.7b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 1/2 (.f64 x.re (.f64 x.re y.re)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	39.2b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.im)))) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
	17.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	37.2b	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
	26.2b	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
	35.7b	1

Compiler

Compiled 1491 to 907 computations (39.2% saved)

regimes215.0ms (0.9%)

Counts

91 → 1

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (pow.f64 (exp.f64 1) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 1/2 (.f64 x.re (.f64 x.re y.re)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.im)))) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (.f64 x.re x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (.f64 1/3 (cos.f64 (*.f64 (log.f64 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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 (.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (*.f64 y.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (fma.f64 1/2 (.f64 (.f64 x.re (.f64 x.re y.re)) (.f64 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (/.f64 1 x.im) 2))) (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 3))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 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))) (cos.f64 (+.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re 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) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 1/6) 6)) 2))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 3 (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 3 (.f64 y.im (log.f64 x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) 3))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im y.im)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (.f64 (.f64 y.im (log.f64 x.im)) 4)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (sin.f64 1))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (cos.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (log.f64 x.im))))) (sin.f64 (fma.f64 (neg.f64 (log.f64 x.im)) y.im (.f64 y.im (log.f64 x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 2) (.f64 y.im (log.f64 x.im)))))))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

Calls

6 calls:

39.0ms	y.re
37.0ms	x.im
37.0ms	x.re
36.0ms	y.im
10.0ms	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
3.4b	1	`x.re`
3.4b	1	`x.im`
3.4b	1	`y.re`
3.4b	1	`y.im`
3.4b	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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
3.4b	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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2435 to 597 computations (75.5% saved)

regimes214.0ms (0.9%)

Counts

56 → 3

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (pow.f64 (exp.f64 1) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 1/2 (.f64 x.re (.f64 x.re y.re)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.im)))) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (.f64 x.re x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (.f64 1/3 (cos.f64 (*.f64 (log.f64 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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 (.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (*.f64 y.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (fma.f64 1/2 (.f64 (.f64 x.re (.f64 x.re y.re)) (.f64 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (/.f64 1 x.im) 2))) (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

6 calls:

67.0ms	y.re
63.0ms	y.im
23.0ms	x.re
23.0ms	x.im
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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
4.3b	1	`x.re`
4.3b	1	`x.im`
3.1b	3	`y.re`
3.2b	3	`y.im`
4.3b	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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
4.3b	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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1268 to 362 computations (71.5% saved)

bsearch57.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	2.2399646386348615e-13	2.714258909201813e-10
21.0ms	-1.1998586607369967e+38	-9.198942446386086e+36

Results

42.0ms	200×	body	256	valid
3.0ms	3×	body	2048	valid
3.0ms	12×	body	256	infinite
2.0ms	6×	body	512	infinite
2.0ms	4×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 672 to 454 computations (32.4% saved)

regimes154.0ms (0.7%)

Counts

49 → 3

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (pow.f64 (exp.f64 1) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 1/2 (.f64 x.re (.f64 x.re y.re)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.im)))) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (.f64 x.re x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (.f64 1/3 (cos.f64 (*.f64 (log.f64 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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 (.f64 -1/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (*.f64 y.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (+.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (fma.f64 1/2 (.f64 (.f64 x.re (.f64 x.re y.re)) (.f64 (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (/.f64 1 x.im) 2))) (exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

6 calls:

55.0ms	y.im
22.0ms	x.re
21.0ms	y.re
21.0ms	x.im
7.0ms	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
4.3b	1	`x.re`
4.3b	1	`x.im`
4.3b	1	`y.re`
3.2b	3	`y.im`
4.3b	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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
4.3b	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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1104 to 328 computations (70.3% saved)

bsearch101.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	3.6047891517151247	6.8521166725979495e+31
44.0ms	-3.0251389466291916e+20	-29819799950785.664

Results

70.0ms	320×	body	256	valid
23.0ms	112×	body	256	infinite
2.0ms	3×	body	1024	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 1028 to 705 computations (31.4% saved)

regimes93.0ms (0.4%)

Counts

31 → 3

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (pow.f64 (exp.f64 1) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 1/2 (.f64 x.re (.f64 x.re y.re)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.im)))) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (.f64 x.re x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (.f64 1/3 (cos.f64 (*.f64 (log.f64 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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

4 calls:

39.0ms	y.im
15.0ms	x.re
14.0ms	y.re
14.0ms	x.im

Results

Error	Segments	Branch
4.3b	1	`x.re`
4.3b	1	`x.im`
4.3b	1	`y.re`
3.2b	3	`y.im`

Compiler

Compiled 534 to 183 computations (65.7% saved)

bsearch107.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	3.6047891517151247	6.8521166725979495e+31
50.0ms	-3.0251389466291916e+20	-29819799950785.664

Results

70.0ms	320×	body	256	valid
28.0ms	133×	body	256	infinite
3.0ms	7×	body	512	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 948 to 625 computations (34.1% saved)

regimes65.0ms (0.3%)

Counts

30 → 1

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (pow.f64 (exp.f64 1) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 (/.f64 1 x.im) 2) (.f64 1/2 (.f64 x.re (.f64 x.re y.re)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.im)))) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (pow.f64 (exp.f64 1) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) 1)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (.f64 x.re x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (.f64 1/3 (cos.f64 (*.f64 (log.f64 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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

4 calls:

14.0ms	y.im
14.0ms	x.re
14.0ms	y.re
13.0ms	x.im

Results

Error	Segments	Branch
4.3b	1	`x.re`
4.3b	1	`x.im`
4.3b	1	`y.re`
4.3b	1	`y.im`

Compiler

Compiled 514 to 182 computations (64.6% saved)

regimes44.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (pow.f64 (exp.f64 1) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.im)) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)

Outputs
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)

Calls

4 calls:

17.0ms	y.re
12.0ms	y.im
7.0ms	x.re
6.0ms	x.im

Results

Error	Segments	Branch
9.5b	1	`x.re`
9.5b	1	`x.im`
6.1b	3	`y.re`
8.2b	2	`y.im`

Compiler

Compiled 127 to 67 computations (47.2% saved)

bsearch122.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	2.7074737383787412e+78	3.771317430619391e+79
41.0ms	-1.3513494904681776e-15	-8.802486505110298e-22

Results

49.0ms	226×	body	256	valid
47.0ms	122×	body	512	infinite
8.0ms	38×	body	256	infinite
7.0ms	8×	body	1024	valid
4.0ms	7×	body	1024	infinite
3.0ms	3×	body	2048	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 483 to 352 computations (27.1% saved)

regimes60.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Outputs
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)

Calls

4 calls:

18.0ms	x.re
18.0ms	x.im
13.0ms	y.im
9.0ms	y.re

Results

Error	Segments	Branch
12.1b	6	`x.re`
12.1b	6	`x.im`
6.1b	3	`y.re`
8.4b	3	`y.im`

Compiler

Compiled 41 to 31 computations (24.4% saved)

bsearch120.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	2.7074737383787412e+78	3.771317430619391e+79
42.0ms	-4.2707747133122856e+24	-7960270158065368.0

Results

49.0ms	240×	body	256	valid
47.0ms	116×	body	512	infinite
15.0ms	58×	body	256	infinite
6.0ms	10×	body	1024	infinite

Compiler

Compiled 438 to 325 computations (25.8% saved)

regimes15.0ms (0.1%)

Accuracy

Total -18.9b remaining (-112%)

Threshold costs -18.9b (-112%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)

Outputs
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)

Calls

4 calls:

5.0ms	y.im
3.0ms	y.re
3.0ms	x.re
3.0ms	x.im

Results

Error	Segments	Branch
16.9b	1	`x.re`
16.9b	1	`x.im`
16.9b	1	`y.re`
16.9b	1	`y.im`

Compiler

Compiled 32 to 25 computations (21.9% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`*-rgt-identity_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	410
1	110	410
2	119	410
3	124	410
4	126	410

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re -9999999999999999538762658202121142272) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 851083777008699/19342813113834066795298816) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -38000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 250000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -33500000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 42000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(if (<=.f64 y.re -6845313241232439/5070602400912917605986812821504) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) 1) (if (<=.f64 y.re 8000000000000000067948971469517623809190959396790084927159992821622375247249408) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)))
(if (<=.f64 y.re -8000000000000000) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1) (if (<=.f64 y.re 9999999999999999673560075006595519222746403606649979913266024618633003221909504) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
1

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(if (<=.f64 y.re -9999999999999999538762658202121142272) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 851083777008699/19342813113834066795298816) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -9999999999999999538762658202121142272) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (if (<=.f64 y.re 851083777008699/19342813113834066795298816) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.im -38000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 250000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -38000000000000) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (if (<=.f64 y.im 250000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (+.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) -1)) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.im -33500000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 42000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -33500000000000) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (if (<=.f64 y.im 42000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(if (<=.f64 y.re -6845313241232439/5070602400912917605986812821504) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) 1) (if (<=.f64 y.re 8000000000000000067948971469517623809190959396790084927159992821622375247249408) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)))
(if (<=.f64 y.re -6845313241232439/5070602400912917605986812821504) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (if (<=.f64 y.re 8000000000000000067948971469517623809190959396790084927159992821622375247249408) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(if (<=.f64 y.re -8000000000000000) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1) (if (<=.f64 y.re 9999999999999999673560075006595519222746403606649979913266024618633003221909504) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)))
(if (<=.f64 y.re -8000000000000000) (pow.f64 (hypot.f64 x.im x.re) y.re) (if (<=.f64 y.re 9999999999999999673560075006595519222746403606649979913266024618633003221909504) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(pow.f64 (hypot.f64 x.im x.re) y.re)
1

Compiler

Compiled 305 to 156 computations (48.9% saved)

soundness245.0ms (1%)

Algorithm

3×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
892×	`unswap-sqr_binary64`
457×	`associate-/l*_binary64`
457×	`associate-/l*_binary64`
385×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	39	38
2	76	38
3	126	38
4	286	38
5	1102	38
6	4153	38
7	5785	38
8	6380	38
9	7366	38
0	20	40
1	39	38
2	76	38
3	126	38
4	286	38
5	1102	38
6	4153	38
7	5785	38
8	6380	38
9	7366	38
0	265	2725
1	837	2183
2	3324	2014

Stop Event

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

Compiler

Compiled 1160 to 669 computations (42.3% saved)

end70.0ms (0.3%)

Compiler: Compiled 273 to 73 computations (73.3% saved)