Details

analyze419.0ms (2.1%)

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)

sample5.1s (26%)

Results

2.1s	7918×	body	256	valid
2.0s	2401×	body	1024	infinite
593.0ms	1067×	body	512	infinite
257.0ms	1035×	body	256	infinite
145.0ms	186×	body	1024	valid
54.0ms	141×	body	512	valid
29.0ms	32×	body	2048	infinite
10.0ms	11×	body	2048	valid

Bogosity

preprocess78.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1028×	`associate-r`
926×	`associate-l`
782×	`associate-/l*`
756×	`sqr-pow`
756×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	553
1	226	525
2	418	525
3	730	525
4	1784	525
5	7124	525
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) (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 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 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
(.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 (hypot.f64 x.re x.im)) y.re) (.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 (-.f64 (.f64 x.re (log.f64 (hypot.f64 y.re x.im))) (.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 (-.f64 (.f64 y.re (log.f64 (hypot.f64 y.im x.im))) (.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 (/.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 (cos.f64 (fma.f64 x.im (log.f64 (hypot.f64 x.re y.im)) (*.f64 y.re (atan2.f64 y.im x.re)))) (/.f64 (pow.f64 (exp.f64 x.im) (atan2.f64 y.im x.re)) (pow.f64 (hypot.f64 x.re y.im) y.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 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)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1704×	`unswap-sqr`
1014×	`associate-/l*`
740×	`associate-*r/`
660×	`associate-/r*`
560×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	42	75
2	75	75
3	128	75
4	291	75
5	1089	75
6	4037	75
7	5670	75
8	6586	75
9	7746	75

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

eval1.0ms (0%)

Compiler: Compiled 142 to 39 computations (72.5% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

5.74%

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.49%	(/.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 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	15.46%	(.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)))))
▶	5.74%	(.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)))))
▶	54.38%	(.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 129 to 64 computations (50.4% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.48%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	47.96%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	48.29%	(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 180 to 19 computations (89.4% saved)

series56.0ms (0.3%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
36.0ms	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)))
3.0ms	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)))
2.0ms	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)))
2.0ms	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)))
2.0ms	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)))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`associate-*r/`
794×	`associate-*l/`
400×	`add-sqr-sqrt`
394×	`pow1`
394×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	378	68
2	5012	68

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

Outputs
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((#(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 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (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 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 x.re x.im))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 2) 2)) 1/2) (pow.f64 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.re x.im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.re x.im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) 1) (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (cbrt.f64 (hypot.f64 x.re x.im))) (cbrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.re x.im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (cbrt.f64 (hypot.f64 x.re x.im))) (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(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 (hypot.f64 x.re x.im) 1)))) (#(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 (cbrt.f64 (hypot.f64 x.re x.im)) 3)))) (#(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 (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 1) (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)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x.re x.im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x.re x.im))))))) (#(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 expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))))) (#(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 exp.f64 (log.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))))))
((#(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 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)))) (#(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 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)))) (#(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 cbrt.f64 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (atan2.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 (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 log1p.f64 (expm1.f64 (*.f64 y.im (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 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))) (#(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 (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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-+l+`
1094×	`+-commutative`
918×	`associate-r`
834×	`associate-+r+`
722×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	556	14652
1	1557	13328
2	6182	13328

Stop Event

1×	node limit

Counts

224 → 279

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.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 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 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 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 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 (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 6) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (pow.f64 x.im 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))
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(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
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x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
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(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
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x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
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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 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
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(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
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(*.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))
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(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 1) (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))))
(fabs.f64 (hypot.f64 x.re x.im))
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))
(expm1.f64 (log1p.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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) 2)) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(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))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 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))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1))
(log1p.f64 (expm1.f64 (*.f64 y.im (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 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)
(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)))
(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))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))

Outputs
(cos.f64 (+.f64 (.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) (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (.f64 x.im x.im) (.f64 y.im (.f64 x.re x.re)))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 x.re (.f64 x.re y.im)) x.im) (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (.f64 x.im x.im) (.f64 y.im (.f64 x.re x.re)))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 1/4 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 (pow.f64 x.im 4) y.im))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 x.re (.f64 x.re y.im)) x.im) (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (.f64 1/4 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4))))))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (.f64 x.im x.im) (.f64 y.im (.f64 x.re x.re)))) (fma.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 6) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.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)))) (fma.f64 1/6 (/.f64 y.im (pow.f64 x.im 6)) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 1/4 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 (pow.f64 x.im 4) y.im))))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 x.re (.f64 x.re y.im)) x.im) (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (fma.f64 (pow.f64 x.re 6) (-.f64 (/.f64 1/8 (/.f64 (pow.f64 x.im 6) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (.f64 y.im y.im)))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)) (/.f64 (.f64 y.im 1/6) (pow.f64 x.im 6))))) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (.f64 1/4 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.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)))))
(+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 -1/2 (/.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 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) x.re)) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(+.f64 (fma.f64 -1/2 (/.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 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4)) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/4 (/.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 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) x.re)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (.f64 (pow.f64 x.im 4) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))))) (.f64 (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) 1/4))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 6) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(-.f64 (fma.f64 1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.re 6) (.f64 (pow.f64 x.im 6) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))))) (fma.f64 -1/2 (/.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 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4)) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (.f64 -1/4 (/.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 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4))))) (/.f64 (fma.f64 -1/48 (.f64 (pow.f64 x.im 6) (pow.f64 y.im 3)) (.f64 1/720 (.f64 y.im (.f64 (pow.f64 x.im 6) 120)))) (/.f64 (pow.f64 x.re 6) (sin.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))))))
(-.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 6)) (.f64 (pow.f64 x.im 6) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) x.re)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (.f64 (pow.f64 x.im 4) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re)))))))) (fma.f64 -1/4 (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (.f64 (/.f64 (fma.f64 -1/48 (.f64 (pow.f64 x.im 6) (pow.f64 y.im 3)) (.f64 y.im (.f64 1/720 (.f64 (pow.f64 x.im 6) 120)))) (pow.f64 x.re 6)) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 x.re)))))
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(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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.re x.re) (*.f64 x.im x.im))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 (sin.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)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(fma.f64 -1 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (.f64 -1 (.f64 (sin.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)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (fma.f64 -1 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (.f64 -1 (.f64 (sin.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)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (fma.f64 -1 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.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))))
(cos.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im 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 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re)))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 1/16 (/.f64 (pow.f64 x.re 5) (pow.f64 x.im 6)))) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(*.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 x.im (/.f64 x.re x.im))) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (/.f64 (.f64 1/8 (pow.f64 x.im 4)) (pow.f64 x.re 3))))
(fma.f64 -1/2 (/.f64 x.im (/.f64 x.re x.im)) (-.f64 (/.f64 (*.f64 (pow.f64 x.im 4) 1/8) (pow.f64 x.re 3)) x.re))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (/.f64 (.f64 1/8 (pow.f64 x.im 4)) (pow.f64 x.re 3)))))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 -1/2 (/.f64 x.im (/.f64 x.re x.im)) (-.f64 (/.f64 (*.f64 (pow.f64 x.im 4) 1/8) (pow.f64 x.re 3)) x.re)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re)))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 1/16 (/.f64 (pow.f64 x.re 5) (pow.f64 x.im 6)))) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 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 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) 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 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(fma.f64 -1 x.im (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im))))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re)))) x.im)
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(/.f64 (.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (cbrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.re x.im) 2)))))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (pow.f64 (.f64 x.im x.re) 2))))
(.f64 (/.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (-.f64 (pow.f64 x.im 4) (-.f64 (pow.f64 (.f64 x.im x.re) 2) (pow.f64 x.re 4))))) (cbrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (cbrt.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (/.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(.f64 (/.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.re x.im) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (pow.f64 (*.f64 x.im x.re) 2))))
(/.f64 (hypot.f64 (pow.f64 x.im 3) (pow.f64 x.re 3)) (sqrt.f64 (-.f64 (pow.f64 x.im 4) (-.f64 (pow.f64 (*.f64 x.im x.re) 2) (pow.f64 x.re 4)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (sqrt.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.re x.im) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (pow.f64 (*.f64 x.im x.re) 2))))
(/.f64 (hypot.f64 (pow.f64 x.im 3) (pow.f64 x.re 3)) (sqrt.f64 (-.f64 (pow.f64 x.im 4) (-.f64 (pow.f64 (*.f64 x.im x.re) 2) (pow.f64 x.re 4)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) 1) (sqrt.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (cbrt.f64 (hypot.f64 x.re x.im))) (cbrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.re x.im) 2)))))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (pow.f64 (.f64 x.im x.re) 2))))
(.f64 (/.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (-.f64 (pow.f64 x.im 4) (-.f64 (pow.f64 (.f64 x.im x.re) 2) (pow.f64 x.re 4))))) (cbrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (cbrt.f64 (hypot.f64 x.re x.im))) (cbrt.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (/.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(.f64 (/.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) (cbrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) 2) 1/2)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (hypot.f64 x.re x.im) 1)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) 2)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)
(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)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x.re x.im)))
(pow.f64 (E.f64) (log.f64 (hypot.f64 x.re x.im)))
(pow.f64 (E.f64) (log.f64 (hypot.f64 x.im x.re)))
(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))))
(fabs.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x.re x.im))))
(hypot.f64 x.re x.im)
(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)
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(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)
(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)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(-.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(*.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 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 2))
(fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.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)
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 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)
(exp.f64 (.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1))
(*.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)
(-.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 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)
(*.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 (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))
(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))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.46%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	48.29%	(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)

series45.0ms (0.2%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
35.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
1.0ms	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))))
1.0ms	x.im	@	0	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	-inf	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	inf	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`unswap-sqr`
890×	`swap-sqr`
552×	`sqr-pow`
546×	`pow-sqr`
466×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	289	65
2	3399	65

Stop Event

1×	node limit

Counts

3 → 64

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

Outputs

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

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

simplify208.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-+l+`
984×	`+-commutative`
888×	`associate-*r/`
876×	`associate-r`
750×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	487	10462
1	1374	9556
2	5505	9556

Stop Event

1×	node limit

Counts

132 → 253

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (pow.f64 x.re 4))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (.f64 (-.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.re 6)))))
(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 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 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 (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 6) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
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(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.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 (neg.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)))))
(-.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)
(-.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)))))
(.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)
(.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)))))
(.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))))))
(.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))
(.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))))))
(.f64 (.f64 (sqrt.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 (cos.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 (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 (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 (cbrt.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)))))) (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)))))) (.f64 (cbrt.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)))))) (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)))))))
(.f64 (.f64 (sqrt.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)))))) (sqrt.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))) (.f64 (sqrt.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)))))) (sqrt.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))))
(.f64 (.f64 (cbrt.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 (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))) (.f64 (cbrt.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 (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))))
(.f64 (.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))))) (sqrt.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))))))) (.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))))) (sqrt.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))))))))
(.f64 (.f64 (sqrt.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 (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))))))) (.f64 (sqrt.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 (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))))))))
(.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))))) 3/2) (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))))) 3/2))
(.f64 (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) 1/6) (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) 1/6))
(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)
(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)
(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)
(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)
(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))
(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))))))
(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)))))))
(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))
(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))))))
(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))))))
(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))
(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))))))
(-.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 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)
(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3)
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.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))
(cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))) (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))))
(+.f64 (.f64 y.re 0) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(+.f64 (.f64 y.re (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2))) (.f64 y.re (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) y.re) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) y.re))
(+.f64 (.f64 0 y.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2)) y.re) (.f64 (log.f64 (cbrt.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 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) 1/3)
(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))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.re 3)))
(cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(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))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1))

Outputs
(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))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))))
(+.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (.f64 y.im (.f64 x.re x.re)) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 x.im x.im))))
(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (pow.f64 x.re 4))))
(+.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 -1/2 (/.f64 (.f64 (.f64 y.im (.f64 x.re x.re)) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 x.im x.im)) (.f64 (+.f64 (.f64 -1/8 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im)))) (.f64 1/4 (/.f64 y.im (/.f64 (pow.f64 x.im 4) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (pow.f64 x.re 4))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (fma.f64 -1/8 (.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 4)) (.f64 y.im y.im)) (.f64 (.f64 (/.f64 y.im (pow.f64 x.im 4)) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/4)) (pow.f64 x.re 4)))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (fma.f64 -1/8 (.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 4)) (.f64 y.im y.im)) (/.f64 (.f64 1/4 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (pow.f64 x.im 4) y.im))) (pow.f64 x.re 4)))
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(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)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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))
(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)))))
(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))))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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)))))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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)))) 3))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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))))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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))))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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))))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3)
(*.f64 y.re (atan2.f64 x.im x.re))
(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 y.re (atan2.f64 x.im x.re)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))
(*.f64 y.re (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.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 y.re (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))) (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))))
(.f64 2 (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))))
(.f64 2 (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 y.re 0) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.re (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2))) (.f64 y.re (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))))
(.f64 y.re (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))))
(.f64 y.re (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) y.re) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) y.re))
(.f64 2 (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.re x.im)))))
(.f64 2 (.f64 y.re (log.f64 (sqrt.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 0 y.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2)) y.re) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))) y.re))
(.f64 y.re (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))))
(.f64 y.re (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))) 1)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.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)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.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.re x.re) (*.f64 x.im x.im)))))
(*.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.re x.re) (*.f64 x.im x.im)))))
(*.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.re x.re) (*.f64 x.im x.im)))))
(*.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.re x.re) (*.f64 x.im x.im)))))
(*.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.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.re 3)))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3)))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.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.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.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.re x.re) (*.f64 x.im x.im)))))
(*.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.re x.re) (*.f64 x.im x.im)))))
(*.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)))

localize104.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
✓	0.73%	(exp.f64 (atan2.f64 x.im x.re))
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	48.29%	(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)

series36.0ms (0.2%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	y.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
7.0ms	y.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
4.0ms	y.im	@	0	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
3.0ms	x.im	@	-inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
2.0ms	y.re	@	0	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
830×	`associate-/r*`
800×	`swap-sqr`
702×	`associate-/l*`
640×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	266	46
2	3384	46

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1884×	`associate-*r/`
1542×	`associate-*l/`
796×	`associate-r`
624×	`*-commutative`
562×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	9112
1	1349	8502
2	5306	8498

Stop Event

1×	node limit

Counts

122 → 199

Calls

Call 1

Inputs
(/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 2)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 2)))) (+.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 2)))) (+.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.im 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (pow.f64 x.re 6) (pow.f64 x.im y.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))
(/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 4))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 4))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2)))) (/.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 6))))))
(/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2)))) (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2)))) (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 6))) (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))))
(/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 2))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.re 2)))) (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 2))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.re 2)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 4))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 2))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.re 2)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.re 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.re 6))))) (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 6))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 4))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (pow.f64 x.re 2) y.re)) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im 2)))) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (pow.f64 x.re 2) y.re)) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im 2)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im 4))) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (.f64 (pow.f64 x.re 2) y.re)) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im 2)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im 4))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (+.f64 (.f64 1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 2))) (.f64 1/720 (.f64 y.re (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6)))))))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im 6))))))
(/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 2)))) (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 2)))) (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 2)))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 2))) (.f64 1/720 (.f64 y.re (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))))))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 6))))))
(/.f64 1 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (/.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 1 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (/.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (/.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y.re 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (/.f64 1 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.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 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (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) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 y.im 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 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (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) (pow.f64 (atan2.f64 x.im x.re) 2)))) (atan2.f64 x.im x.re))))) (pow.f64 y.im 3))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (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) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 y.im 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 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.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) (exp.f64 (*.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) (exp.f64 (*.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) (exp.f64 (*.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) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (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 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))))) (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3) 1/3)
(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)))
(pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.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))))
(log.f64 (+.f64 1 (expm1.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 (exp.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)))) 1)
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)))
(*.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)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.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 (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 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im))))
(*.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))) (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))) 2))
(*.f64 (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))) 2) (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))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (+.f64 y.re y.re))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 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 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (/.f64 -1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(*.f64 (/.f64 -1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (/.f64 (sqrt.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 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im)))) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (+.f64 y.re y.re))) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (+.f64 y.re y.re))) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (+.f64 y.re y.re))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (+.f64 y.im y.im)))) (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))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (+.f64 y.re y.re))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (+.f64 y.re y.re))))) (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) y.re) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) y.re) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)))))
(.f64 (.f64 (sqrt.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)))) (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)))) (*.f64 (sqrt.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)))) (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)))))
(.f64 (.f64 (cbrt.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)))) (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)))) (*.f64 (cbrt.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)))) (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)))))
(.f64 (.f64 (sqrt.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)))) (sqrt.f64 (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))) 2))) (*.f64 (sqrt.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)))) (sqrt.f64 (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))) 2))))
(.f64 (.f64 (cbrt.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 (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))) 2))) (*.f64 (cbrt.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 (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))) 2))))
(.f64 (.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))) (sqrt.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))))) (*.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))) (sqrt.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))))))
(.f64 (.f64 (sqrt.f64 (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))) 2)) (cbrt.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))))) (*.f64 (sqrt.f64 (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))) 2)) (cbrt.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))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im))) (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im))) (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) y.re)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) y.re)))
(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 (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 (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 (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 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)) -1)
(neg.f64 (/.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))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(neg.f64 (*.f64 (/.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))) 1))
(neg.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 -1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(neg.f64 (*.f64 1 (/.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)))))
(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))))
(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 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)) 1))
(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 (pow.f64 x.im y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im 2)))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (/.f64 (.f64 y.re (pow.f64 x.im y.re)) (.f64 x.im x.im))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (*.f64 (/.f64 y.re x.im) (/.f64 (pow.f64 x.im y.re) x.im))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
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(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)
(/.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.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(neg.f64 (/.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 (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.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(neg.f64 (/.f64 (neg.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 (atan2.f64 x.im x.re)) y.im))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(neg.f64 (*.f64 (/.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))) 1))
(/.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.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(neg.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 -1 (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 (atan2.f64 x.im x.re)) y.im))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(neg.f64 (*.f64 1 (/.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 (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.im x.re) y.re) (pow.f64 (exp.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))
(fabs.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(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))))
(/.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.im x.re) 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)))))
(/.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.im x.re) 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))
(/.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.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(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))))
(/.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.im x.re) y.re) (pow.f64 (exp.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)))
(/.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.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(exp.f64 (.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.im)) 1))
(/.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.im x.re) 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))))
(/.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.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.38%	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.73%	(exp.f64 (atan2.f64 x.im x.re))
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	48.29%	(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)

series100.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	x.im	@	-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)
13.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
11.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
6.0ms	x.re	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1500×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	176	17
2	2067	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1344×	`fma-def`
1234×	`associate-/r/`
970×	`associate-/r*`
900×	`distribute-lft-in`
870×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1105
1	145	1101
2	451	1093
3	1736	1081
4	4557	1081

Stop Event

1×	node limit

Counts

53 → 42

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

eval1.2s (5.9%)

Compiler: Compiled 68997 to 19980 computations (71% saved)

prune378.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1202	16	1218
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1206	16	1222

Error

4.68%

Counts

1222 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.69%	(/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	15.76%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	21.89%	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	15.5%	(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) y.re) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)))) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) y.re) (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 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)))))
	25.76%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
▶	5.74%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))))
	6.04%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.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))))))
	54.58%	(.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 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	51.3%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	6.02%	(.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))))
	33.99%	(.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))) (/.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (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)))))))))
	70.96%	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	76.18%	(.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))))
	34.37%	(.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))))
	78.43%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 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))))
▶	32%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (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)))))

Compiler

Compiled 1304 to 638 computations (51.1% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.69%	(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))))))
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
	48.29%	(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 137 to 17 computations (87.6% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	inf	(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))))))
0.0ms	x.im	@	-inf	(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))))))
0.0ms	x.re	@	-inf	(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))))))
0.0ms	x.im	@	inf	(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))))))
0.0ms	x.re	@	0	(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))))))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
838×	`swap-sqr`
544×	`sqr-pow`
538×	`pow-sqr`
428×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	299	35
2	3329	35

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(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))))))

Outputs

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simplify186.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-r`
540×	`*-commutative`
462×	`fma-def`
416×	`associate-l`
356×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	9530
1	1125	9530
2	6358	9530

Stop Event

1×

unsound

Counts

94 → 106

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (pow.f64 x.re 4))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (.f64 (-.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.re 6)))))
(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 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 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 (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 6) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.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 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.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 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.re 4)))) (pow.f64 x.im 4))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 (pow.f64 x.im 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 6))) (.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))) (.f64 1/6 (/.f64 y.im (pow.f64 x.re 6)))) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 2))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 2))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 4))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 x.re 6) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 2)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))) (pow.f64 x.im 6)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 x.re 6) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2)))))) (+.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6))))))) (pow.f64 x.im 6)) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4)))))
(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 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 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 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 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 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))
(cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 (sin.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)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
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(.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)))))
(.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))))))
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(/.f64 (-.f64 (.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)))))) (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) (+.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))
(/.f64 (-.f64 (.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 (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 (.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)))) (.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)))))) (+.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))))))
(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)
(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)
(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)
(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)
(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))
(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))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(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))))))
(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))))))
(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))
(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))))))

Outputs
(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))))
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(.f64 (.f64 (sqrt.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 (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))))))) (.f64 (sqrt.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 (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))))))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.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 y.re (atan2.f64 x.im x.re))))) 3/2) (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))))) 3/2))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (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) 1/6) (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) 1/6))
(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 (.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 (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))) (.f64 (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))))))) (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 (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)))))))))
(/.f64 (-.f64 (.f64 (.f64 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)))))))) (.f64 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))))))))) (.f64 (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))))))) (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 (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 0 (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 0 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (neg.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)) (neg.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 (.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)))))))) (.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))))))))) (-.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)))))))))
(.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 (-.f64 (.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)))))) (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) (+.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))
(/.f64 (neg.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)) (neg.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 (.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 (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 (.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)))) (.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)))))) (+.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))))))
(/.f64 (.f64 (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.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.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))))))) (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.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(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)
(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 (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)
(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))))) 3)
(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 (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)
(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 (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))
(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)))) 3))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))
(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))))))
(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 (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))))))
(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 (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))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.46%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.68%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x.im	@	0	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.re	@	inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.re	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1620×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1464×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	173	17
2	2013	17

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1412×	`fma-def`
1024×	`associate-r`
994×	`*-commutative`
836×	`associate-l`
550×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	514
1	135	510
2	570	502
3	2792	502
4	6474	502

Stop Event

1×	node limit

Counts

22 → 33

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	3.85%	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
	48.29%	(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 83 to 14 computations (83.1% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	y.im	@	0	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
0.0ms	x.im	@	0	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
0.0ms	x.im	@	-inf	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
0.0ms	y.im	@	-inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.re	@	inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`unswap-sqr`
844×	`swap-sqr`
520×	`sqr-pow`
514×	`pow-sqr`
444×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	295	44
2	3571	44

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1490×	`associate-/l*`
1216×	`distribute-lft-in`
1194×	`distribute-rgt-in`
774×	`associate-/r*`
676×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	323	7095
1	904	6233
2	3021	6233

Stop Event

1×	node limit

Counts

165 → 218

Calls

Call 1

Inputs
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 x.re 6) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(+.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 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6)))))))
(+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6)))))))
(+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 y.im (log.f64 x.re)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/6 (/.f64 (.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6)))))))
(+.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 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(*.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)))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(/.f64 (*.f64 y.im (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) 0)) (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.im (+.f64 0 (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) 0))
(/.f64 (*.f64 (neg.f64 y.im) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) 0)) (atan2.f64 x.im x.re))
(/.f64 (*.f64 (neg.f64 y.im) (+.f64 0 (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) 0))
(/.f64 (*.f64 (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) 0) y.im) (atan2.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 0 (pow.f64 (atan2.f64 x.im x.re) 3)) y.im) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) 0))
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(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
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(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
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(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))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
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(-.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.re))
(-.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)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (-.f64 1 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(-.f64 (+.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (exp.f64 (log1p.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) 1)
(-.f64 (+.f64 (.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 1) (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) 1)
(.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)
(.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.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 (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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))
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(.f64 (+.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (-.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
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(/.f64 (pow.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 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3)) (-.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 2) (.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.re))))
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(log.f64 (exp.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
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(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
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Outputs
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (pow.f64 (cbrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (pow.f64 (cbrt.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 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (pow.f64 (cbrt.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 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (pow.f64 (cbrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))
(.f64 (.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (cbrt.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.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 (sqrt.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 (pow.f64 (cbrt.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 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (pow.f64 (cbrt.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))
(.f64 (+.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (-.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (+.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (-.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (+.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (-.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 y.im)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (-.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 y.im)) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (fma.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 y.im) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (-.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 y.im)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (fma.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (sqrt.f64 y.im) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (-.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (sqrt.f64 y.im)) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3/2))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 3) 1/6))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(/.f64 (pow.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 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (pow.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) 2) (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(/.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)) 2) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3)) (-.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 2) (.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3)) (-.f64 (pow.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)) (-.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)) 2) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3))) (-.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 2) (.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3)) (-.f64 (pow.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)) (-.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)) 2) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3)) 1) (-.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 2) (.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3)) (-.f64 (pow.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 3) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)) (-.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)) 2) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(pow.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 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(pow.f64 (sqrt.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 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(pow.f64 (pow.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)
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(sqrt.f64 (pow.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 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) 2))
(fabs.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(log.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 3))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(exp.f64 (.f64 (log.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 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.84%	(/.f64 x.im (*.f64 x.re x.re))
✓	14.75%	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
✓	24.66%	(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)))
	47.96%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 216 to 52 computations (75.9% saved)

series30.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	x.re	@	0	(/.f64 x.im (*.f64 x.re x.re))
2.0ms	x.re	@	inf	(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)))
2.0ms	x.im	@	0	(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)))
2.0ms	x.im	@	inf	(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)))
2.0ms	x.re	@	0	(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)))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`associate-/l*`
786×	`associate-/r/`
422×	`add-sqr-sqrt`
412×	`pow1`
412×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	396	95
2	5520	95

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

(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)))

(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))

(/.f64 x.im (*.f64 x.re x.re))

Outputs

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

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simplify245.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-r`
728×	`fma-def`
682×	`associate-l`
666×	`*-commutative`
596×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	15968
1	1685	14856
2	7063	14852

Stop Event

1×	node limit

Counts

198 → 297

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 (pow.f64 x.im 4) (-.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.re 4))))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6))) (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))) (.f64 8/3 (/.f64 y.im (pow.f64 x.re 6)))))) (pow.f64 x.im 6)) (+.f64 (.f64 (pow.f64 x.im 4) (-.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.re 4))))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
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(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (+.f64 (.f64 (cos.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) 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 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3) (pow.f64 (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (.f64 (cos.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(pow.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) 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 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 2)) (log.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(+.f64 0 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 2)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) (log.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 2))) (log.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)))) (log.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(-.f64 (log.f64 (-.f64 (/.f64 1/4 (/.f64 (.f64 x.im x.im) (pow.f64 x.re 4))) (.f64 x.im x.im))) (log.f64 (fma.f64 -1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im)))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) 3) (pow.f64 x.im 3))) (log.f64 (+.f64 (/.f64 1/4 (/.f64 (.f64 x.im x.im) (pow.f64 x.re 4))) (.f64 x.im (fma.f64 -1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (/.f64 1/4 (/.f64 (.f64 x.im x.im) (pow.f64 x.re 4))) (.f64 x.im x.im)))) (log.f64 (fma.f64 -1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im)))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) 3) (pow.f64 x.im 3)))) (log.f64 (+.f64 (/.f64 1/4 (/.f64 (.f64 x.im x.im) (pow.f64 x.re 4))) (.f64 x.im (fma.f64 -1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))) 1)
(.f64 (log.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 1)
(.f64 1 (log.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)))
(.f64 (sqrt.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) (sqrt.f64 (log.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(.f64 (cbrt.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) 2) (cbrt.f64 (log.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(pow.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(exp.f64 (log.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
(exp.f64 (.f64 (log.f64 (log.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))) 1))
(log1p.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) (+.f64 x.im 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re -2)))) 1)
(*.f64 x.im (pow.f64 x.re -2))
(.f64 (.f64 x.im (pow.f64 x.re -2)) 1)
(.f64 1 (.f64 x.im (pow.f64 x.re -2)))
(*.f64 (/.f64 (sqrt.f64 x.im) x.re) (/.f64 (sqrt.f64 x.im) x.re))
(.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (pow.f64 x.re -2)))
(.f64 (cbrt.f64 (.f64 x.im (pow.f64 x.re -2))) (cbrt.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.re 4))))
(.f64 (cbrt.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re 4))) (cbrt.f64 (*.f64 x.im (pow.f64 x.re -2))))
(.f64 (pow.f64 (cbrt.f64 x.im) 2) (.f64 (cbrt.f64 x.im) (pow.f64 x.re -2)))
(*.f64 (/.f64 x.im x.re) (/.f64 1 x.re))
(.f64 (neg.f64 x.im) (/.f64 1 (.f64 x.re (neg.f64 x.re))))
(*.f64 (pow.f64 x.re -2) x.im)
(*.f64 (/.f64 x.im 1) (pow.f64 x.re -2))
(*.f64 (/.f64 1 x.re) (/.f64 x.im x.re))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 x.re 4))) (/.f64 x.im (cbrt.f64 (.f64 x.re x.re))))
(.f64 -1 (.f64 x.im (neg.f64 (pow.f64 x.re -2))))
(.f64 (/.f64 1 (.f64 x.re (neg.f64 x.re))) (neg.f64 x.im))
(.f64 (/.f64 (sqrt.f64 x.im) 1) (/.f64 (sqrt.f64 x.im) (.f64 x.re x.re)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) 2) 1) (/.f64 (cbrt.f64 x.im) (.f64 x.re x.re)))
(.f64 (/.f64 (sqrt.f64 x.im) (.f64 x.re x.re)) (sqrt.f64 x.im))
(.f64 (/.f64 (sqrt.f64 x.im) (cbrt.f64 (pow.f64 x.re 4))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (.f64 x.re x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) 2) x.re) (/.f64 (cbrt.f64 x.im) x.re))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) 2) (cbrt.f64 (pow.f64 x.re 4))) (cbrt.f64 (.f64 x.im (pow.f64 x.re -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) 2) (.f64 x.re x.re)) (cbrt.f64 x.im))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re 4))))) (cbrt.f64 (*.f64 x.im (pow.f64 x.re -2))))
(*.f64 (/.f64 1 (/.f64 x.re (/.f64 (pow.f64 (cbrt.f64 x.im) 2) x.re))) (cbrt.f64 x.im))
(pow.f64 (*.f64 x.im (pow.f64 x.re -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 x.im) x.re) 2)
(pow.f64 (cbrt.f64 (*.f64 x.im (pow.f64 x.re -2))) 3)
(pow.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x.re x.im) x.re) -1)
(neg.f64 (/.f64 x.im (*.f64 x.re (neg.f64 x.re))))
(sqrt.f64 (/.f64 (*.f64 x.im x.im) (pow.f64 x.re 4)))
(log.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x.im (pow.f64 x.re -2)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x.im 3) (pow.f64 (*.f64 x.re x.re) 3)))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re -2))))
(exp.f64 (log.f64 (*.f64 x.im (pow.f64 x.re -2))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (pow.f64 x.re -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 x.re -2))))

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

localize105.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.25%	(.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
✓	13.13%	(/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
✓	29.51%	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.68%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 238 to 43 computations (81.9% saved)

series196.0ms (1%)

Counts

3 → 100

Calls

33 calls:

Time	Variable		Point	Expression
46.0ms	x.re	@	0	(/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
35.0ms	y.re	@	0	(/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
35.0ms	x.im	@	0	(/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
11.0ms	x.im	@	inf	(/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
10.0ms	y.re	@	inf	(/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
642×	`*-un-lft-identity`
632×	`pow1`
598×	`add-exp-log`
596×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	215
1	633	209

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

(/.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))

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

Outputs

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

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

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

simplify303.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1746×	`associate-/l*`
1184×	`associate-/r*`
924×	`+-commutative`
866×	`*-commutative`
850×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	990	44258
1	3474	44248

Stop Event

1×	node limit

Counts

168 → 312

Calls

Call 1

Inputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 -1 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) y.re) (+.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 -1 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) y.re) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 -1/2 (/.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))))) (pow.f64 y.re 2)) (+.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 -1 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) y.re) (+.f64 (.f64 (pow.f64 y.re 3) (+.f64 (.f64 1/6 (/.f64 (.f64 y.im (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/4 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))))) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 -1/2 (/.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))))) (pow.f64 y.re 2)) (+.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))))))
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(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (pow.f64 (hypot.f64 x.im x.re) (neg.f64 y.re))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.im x.re) y.re)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.im x.re) y.re)) 2))) (cbrt.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(pow.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (pow.f64 (hypot.f64 x.im x.re) y.re))) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (neg.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.im x.re) y.re)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (.f64 (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(log.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) y.im))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))

Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 1/120 (pow.f64 y.re 5)) (pow.f64 (atan2.f64 x.im x.re) 5))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7)) (.f64 1/120 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7)) (.f64 (.f64 1/120 (pow.f64 y.re 5)) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 2)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
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(+.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.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) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) y.im))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (neg.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.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) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) y.im) (.f64 (pow.f64 y.im 2) (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (+.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 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (-.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.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) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (atan2.f64 x.im x.re)))))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) y.im (.f64 (.f64 y.im y.im) (-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (atan2.f64 x.im x.re) (-.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) y.im (.f64 (.f64 y.im y.im) (-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (atan2.f64 x.im x.re) (-.f64 (neg.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))))
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(fma.f64 -1 (.f64 (fma.f64 1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (fma.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (atan2.f64 x.im x.re) (-.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))) (atan2.f64 x.im x.re) (.f64 1/2 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (-.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))))) (pow.f64 y.im 3)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) y.im (.f64 (.f64 y.im y.im) (-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (atan2.f64 x.im x.re) (-.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))))))
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(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re))))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3))
(.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.im x.re) y.re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re))))) 3) (pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.im x.re) y.re)) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (+.f64 (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (+.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (.f64 (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))) 1))
(exp.f64 (+.f64 (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (+.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (-.f64 (log.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(pow.f64 (sqrt.f64 (.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re))) 2))
(log.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) y.im))
(.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.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.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (log.f64 (.f64 (sin.f64 (.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.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.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.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (hypot.f64 x.im x.re)))

eval972.0ms (4.9%)

Compiler: Compiled 110100 to 36619 computations (66.7% saved)

prune707.0ms (3.6%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1561	23	1584
Fresh	9	2	11
Picked	1	0	1
Done	4	0	4
Total	1575	25	1600

Error

4.57%

Counts

1600 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	69.81%	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.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 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
	67.77%	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.re) 2) (cos.f64 (.f64 y.re (atan2.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))) (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	15.76%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	6.04%	(.f64 (exp.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 3) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	5.75%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.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)))))) (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) (+.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)))
	7.35%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 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)))))))) (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)))))))))
▶	5.75%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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)))))))))
	51.29%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	6.29%	(.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)
	76.18%	(.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))) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) 1))
	84.14%	(.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 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	78.43%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 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))))
▶	84.28%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) 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))))
	32.01%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (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)))))))
	32.33%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (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))))))
	31.9%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	66.32%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	65.83%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (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)))))
	68.4%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3/2))))
▶	32.35%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
	68.43%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))))
	32%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	46.97%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
	29.3%	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (pow.f64 (hypot.f64 x.im x.re) (neg.f64 y.re))))
	43.78%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))

Compiler

Compiled 1780 to 976 computations (45.2% saved)

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.96%	(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)))))))
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
	48.29%	(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 173 to 23 computations (86.7% saved)

series107.0ms (0.5%)

Counts

1 → 32

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	y.re	@	inf	(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)))))))
17.0ms	y.im	@	inf	(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)))))))
14.0ms	y.re	@	-inf	(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)))))))
14.0ms	y.im	@	-inf	(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)))))))
8.0ms	x.im	@	0	(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)))))))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`unswap-sqr`
916×	`swap-sqr`
612×	`sqr-pow`
484×	`distribute-rgt-in`
444×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	321	41
2	3712	41

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(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)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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))))))) (log.f64 (cbrt.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 (log.f64 (cbrt.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 (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 (pow.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))))) 1/4)) (log.f64 (pow.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))))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (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 0 (*.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (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)))))))) (log.f64 (cbrt.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 (+.f64 0 (log.f64 (pow.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))))) 1/4))) (log.f64 (pow.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))))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (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 1 (log.f64 (cbrt.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 (*.f64 1 (log.f64 (pow.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))))) 1/4))) (*.f64 1 (log.f64 (pow.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))))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (*.f64 1/2 (*.f64 1/2 (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 (*.f64 1/2 (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))) (*.f64 1/2 (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 (*.f64 (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))))))) 1) (*.f64 (log.f64 (cbrt.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)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.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))))) 1/4)) 1) (*.f64 (log.f64 (pow.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))))) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/2) (*.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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)) 1/2) (*.f64 (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))))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (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 0 (exp.f64 (log1p.f64 (*.f64 1/2 (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 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 1/2 (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 2 (log.f64 (pow.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))))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (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 (*.f64 1/2 (cos.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 (cbrt.f64 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (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 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (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 (pow.f64 (cbrt.f64 (*.f64 1/2 (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 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (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 (pow.f64 (cbrt.f64 (*.f64 1/2 (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 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (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 (pow.f64 (cbrt.f64 (*.f64 1/2 (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 (sqrt.f64 (*.f64 1/2 (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 (pow.f64 (cbrt.f64 (*.f64 1/2 (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 (*.f64 (cbrt.f64 (*.f64 1/2 (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 (cbrt.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (cbrt.f64 (*.f64 1/2 (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 (cbrt.f64 (*.f64 1/2 (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 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (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 (sqrt.f64 (*.f64 1/2 (cos.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 (pow.f64 (cbrt.f64 (*.f64 1/2 (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 (sqrt.f64 (*.f64 1/2 (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 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3/2) (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (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 (sqrt.f64 (*.f64 1/2 (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 pow.f64 (cbrt.f64 (*.f64 1/2 (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 (pow.f64 (*.f64 1/2 (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 sqrt.f64 (*.f64 1/4 (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 cbrt.f64 (pow.f64 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 log1p.f64 (expm1.f64 (*.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))))

simplify187.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-l`
694×	`*-commutative`
624×	`times-frac`
618×	`associate-/l*`
582×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	798	26491
1	2621	24181

Stop Event

1×	node limit

Counts

75 → 144

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))))) (-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im)) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 1 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))))) 2)))) (.f64 -3/4 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (pow.f64 y.im 2) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))) (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 360 (.f64 (-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/48 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 y.im 3)) (pow.f64 x.im 6))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) (pow.f64 x.im 4)))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) y.im)) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 1 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))))) 2))))) (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))))) (sqrt.f64 (/.f64 1 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))))))) (+.f64 (.f64 90 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im)) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 1 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))))) 2)))) (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 2)))) (.f64 -15/4 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 y.im 3)) (pow.f64 x.im 6)) (sqrt.f64 (/.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 3) (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 3))))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))))) (-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im)) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 1 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))))) 2)))) (.f64 -3/4 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (pow.f64 y.im 2) (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))) (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))))))
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(.f64 1/2 (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 (pow.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))))) 1/4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 (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 (.f64 1/2 (cos.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 (cbrt.f64 (.f64 1/2 (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 (.f64 1/2 (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 (cbrt.f64 (sqrt.f64 (.f64 1/2 (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 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (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 (.f64 1/2 (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 (sqrt.f64 (cbrt.f64 (.f64 1/2 (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 (pow.f64 (cbrt.f64 (.f64 1/2 (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 (sqrt.f64 (cbrt.f64 (.f64 1/2 (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 (pow.f64 (cbrt.f64 (.f64 1/2 (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 (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (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 (pow.f64 (cbrt.f64 (.f64 1/2 (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 (sqrt.f64 (.f64 1/2 (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 (pow.f64 (cbrt.f64 (.f64 1/2 (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 (.f64 (cbrt.f64 (.f64 1/2 (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 (cbrt.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 (cbrt.f64 (.f64 1/2 (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 (cbrt.f64 (.f64 1/2 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (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 (sqrt.f64 (.f64 1/2 (cos.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 (pow.f64 (cbrt.f64 (.f64 1/2 (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 (sqrt.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3/2) (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6) (pow.f64 (pow.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6))
(pow.f64 (.f64 1/2 (cos.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 (sqrt.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (cos.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 (pow.f64 (.f64 1/2 (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)
(sqrt.f64 (.f64 1/4 (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)))
(cbrt.f64 (pow.f64 (.f64 1/2 (cos.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 (.f64 1/2 (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 (log.f64 (.f64 1/2 (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 (log.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
	1.48%	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.85%	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
✓	29.68%	(cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))

Compiler

Compiled 53 to 11 computations (79.2% saved)

series7.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	-inf	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.re	@	inf	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	inf	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.re	@	0	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
0.0ms	y.im	@	0	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unswap-sqr`
806×	`swap-sqr`
498×	`sqr-pow`
492×	`pow-sqr`
368×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	275	56
2	3361	56

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

952×	`*-commutative`
950×	`fma-def`
828×	`associate-/r*`
712×	`+-commutative`
568×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	4560
1	406	4530
2	1905	4210
3	5500	4210

Stop Event

1×	node limit

Counts

126 → 102

Calls

Call 1

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

Outputs
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) 1)
(fma.f64 (.f64 y.re y.re) (.f64 -1/2 (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 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
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(exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
	6.84%	(/.f64 x.im (*.f64 x.re x.re))
	14.75%	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
	24.66%	(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)))

Compiler

Compiled 163 to 49 computations (69.9% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.48%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.41%	(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
	3.85%	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
✓	23.56%	(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

Compiler

Compiled 112 to 16 computations (85.7% saved)

series5.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	-inf	(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
0.0ms	x.re	@	inf	(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
0.0ms	x.im	@	inf	(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
0.0ms	x.im	@	-inf	(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
0.0ms	y.re	@	0	(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
840×	`swap-sqr`
546×	`sqr-pow`
538×	`pow-sqr`
456×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	307	66
2	3378	66

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs

(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

(expm1.f64 (log1p.f64 (fma.f64 (log.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 (*.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 (*.f64 (cos.f64 (+.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 1)) (*.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (*.f64 (cos.f64 (+.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 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 (+.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 1))) (*.f64 1 (*.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (+.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 1)) 1) (*.f64 (*.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) 1))))) (#(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 (*.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 (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 (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 (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 (*.f64 (sqrt.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 (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 (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 (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 (cbrt.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))))) (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 (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))))) (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 (*.f64 (sqrt.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))))) (sqrt.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))) (*.f64 (sqrt.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))))) (sqrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.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 (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))) (*.f64 (cbrt.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 (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 (*.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)))) (sqrt.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)))))) (*.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)))) (sqrt.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.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 (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 (sqrt.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 (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 (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)))) 3/2) (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)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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) 1/6) (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) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (+.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 1)) (*.f64 (cos.f64 (+.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 1))) (*.f64 (*.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (*.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))) (-.f64 (*.f64 (cos.f64 (+.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 1)) (*.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(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 (atan2.f64 x.im x.re) y.re)))) 2)))) (#(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 (atan2.f64 x.im x.re) y.re)))) 3)))) (#(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 (atan2.f64 x.im x.re) y.re))) 3) 1/3)))) (#(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 (atan2.f64 x.im x.re) y.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 (atan2.f64 x.im x.re) y.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 (atan2.f64 x.im x.re) y.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 (atan2.f64 x.im x.re) y.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 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.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 (-.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 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.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> 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simplify172.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-r`
910×	`associate-*r/`
886×	`associate--l+`
788×	`fma-def`
670×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	15802
1	1610	14362
2	6434	14362

Stop Event

1×	node limit

Counts

188 → 302

Calls

Call 1

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

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

localize105.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.49%	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.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 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
✓	3.85%	(*.f64 y.im (atan2.f64 x.im x.re))
	29.51%	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.68%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 340 to 170 computations (50% saved)

series100.0ms (0.5%)

Counts

2 → 60

Calls

21 calls:

Time	Variable		Point	Expression
19.0ms	y.re	@	inf	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.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 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
14.0ms	x.im	@	0	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.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 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
13.0ms	x.im	@	-inf	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.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 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
13.0ms	y.re	@	0	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.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 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
12.0ms	x.im	@	inf	(/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.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 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`add-sqr-sqrt`
690×	`*-un-lft-identity`
686×	`pow1`
648×	`add-exp-log`
646×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	184
1	702	174

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs

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

(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (*.f64 (pow.f64 y.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 -1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (exp.f64 (*.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))

Outputs

((#(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 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 cbrt.f64 (*.f64 (*.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))))))

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

simplify182.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1812×	`distribute-lft-in`
1456×	`associate-/r*`
1240×	`associate-*r/`
840×	`associate-*l/`
644×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	18907
1	953	16555
2	3588	16179

Stop Event

1×	node limit

Counts

103 → 131

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

eval1.4s (7.1%)

Compiler: Compiled 94622 to 37017 computations (60.9% saved)

prune722.0ms (3.7%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	1355	23	1378
Fresh	6	14	20
Picked	1	0	1
Done	4	0	4
Total	1366	37	1403

Error

4.54%

Counts

1403 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	32.27%	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
	76%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2)))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	15.76%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	75.89%	(+.f64 (.f64 y.re (+.f64 (/.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.im (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) (+.f64 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))
	6.04%	(.f64 (exp.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 3) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	6.45%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))
	6.85%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (+.f64 (log.f64 (cbrt.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 (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))))))))))
▶	7.35%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (.f64 1/2 (.f64 3 (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)))))))))))
▶	5.75%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log1p.f64 (expm1.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))
	6.05%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (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))))))))))
	54.58%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))))))
	6.02%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	51.29%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	6.29%	(.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)
	78.43%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 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))))
	84.28%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) 1))
	77.37%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	82.32%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (.f64 x.re (/.f64 x.re x.im))) x.im)))))
	53.87%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
▶	56.04%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
	32.3%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (+.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 1)) (.f64 (cos.f64 (+.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 1))) (.f64 (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))) (-.f64 (.f64 (cos.f64 (+.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 1)) (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))))
	31.73%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (+.f64 (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (.f64 (cos.f64 (+.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 1))))
	32.01%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (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))))))
	32.33%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (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))))))
	31.9%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	66.32%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	65.83%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (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)))))
	68.4%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3/2))))
	68.43%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))))
	32%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	29.3%	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (pow.f64 (hypot.f64 x.im x.re) (neg.f64 y.re))))
	54.08%	(.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 1 (pow.f64 (/.f64 -1 x.im) y.re)))
	43.78%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
	52.27%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
	56.33%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
	88.8%	(.f64 -1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
▶	32.35%	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))

Compiler

Compiled 2510 to 1470 computations (41.4% saved)

localize130.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.46%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
	48.29%	(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 179 to 38 computations (78.8% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 28 to 8 computations (71.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.19%	(*.f64 (log.f64 x.im) y.im)
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
	3.85%	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
✓	23.72%	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series194.0ms (1%)

Counts

2 → 52

Calls

18 calls:

Time	Variable		Point	Expression
137.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
9.0ms	y.im	@	0	(*.f64 (log.f64 x.im) y.im)
7.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`unswap-sqr`
870×	`swap-sqr`
654×	`distribute-rgt-in`
620×	`distribute-lft-in`
466×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	268	40
2	3451	40

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1350×	`fma-def`
1038×	`*-commutative`
864×	`unswap-sqr`
834×	`+-commutative`
764×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	5894
1	574	5670
2	2071	5242
3	6647	5242

Stop Event

1×	node limit

Counts

114 → 122

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.48%	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.41%	(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
	3.85%	(*.f64 y.im (atan2.f64 x.im x.re))
	23.56%	(cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))

Compiler

Compiled 105 to 15 computations (85.7% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.48%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	1.55%	(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))))))
	3.85%	(*.f64 (atan2.f64 x.im x.re) y.im)
	48.29%	(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 219 to 39 computations (82.2% saved)

series45.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	inf	(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))))))
6.0ms	x.im	@	inf	(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))))))
5.0ms	y.re	@	0	(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))))))
5.0ms	x.re	@	0	(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))))))
5.0ms	x.im	@	-inf	(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))))))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`unswap-sqr`
884×	`swap-sqr`
580×	`sqr-pow`
570×	`pow-sqr`
452×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	303	43
2	3512	43

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(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))))))

Outputs

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

simplify244.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1322×	`+-commutative`
1314×	`associate-+l+`
980×	`fma-def`
712×	`*-commutative`
626×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	774	24589
1	2599	22107
2	7095	22107

Stop Event

1×	node limit

Counts

77 → 140

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 1/3)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im))) (pow.f64 x.im 2)))) (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 1/3))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im))) (pow.f64 x.im 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 2)) 1/3) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) (pow.f64 x.im 4)))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 7)) (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 4)) 1/3) (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)))))))) (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 1/3)))
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(.f64 (.f64 (pow.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)))))) 1/6) (pow.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)))))) 1/6)) (.f64 (pow.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)))))) 1/6) (pow.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)))))) 1/6)))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3)) 1/6) (pow.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3)) 1/6)) (cbrt.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 (sqrt.f64 (cbrt.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 (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 (sqrt.f64 (cbrt.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 (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 (cbrt.f64 (pow.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))))) 1/6)) (cbrt.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 (cbrt.f64 (pow.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))))) 1/6)) (cbrt.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 (sqrt.f64 (cbrt.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)))))))) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3))))) (.f64 (sqrt.f64 (cbrt.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)))))))) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2/3))))))
(.f64 (.f64 (cbrt.f64 (pow.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))))) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3))))) (.f64 (cbrt.f64 (pow.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))))) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2/3))))))
(.f64 (.f64 (cbrt.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))))))) (sqrt.f64 (cbrt.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 (cbrt.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))))))) (sqrt.f64 (cbrt.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 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3)))) (cbrt.f64 (pow.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))))) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3)))) (cbrt.f64 (pow.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))))) 1/6))))
(.f64 (pow.f64 (cbrt.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))))))) 3/2) (pow.f64 (cbrt.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))))))) 3/2))
(pow.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))))) 1/3)
(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)))))) 1)
(pow.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)))))) 2/3)
(pow.f64 (pow.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))))) 1/6) 2)
(pow.f64 (cbrt.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))))))) 3)
(sqrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3)))
(log.f64 (exp.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))))))))
(log.f64 (+.f64 1 (expm1.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)))))))))
(expm1.f64 (log1p.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))))))))
(exp.f64 (.f64 1/3 (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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1))
(log1p.f64 (expm1.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))))))))

Outputs
(pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im))) (pow.f64 x.im 2)))) (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 1/3))
(fma.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) 2))) (/.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 x.re x.re) (.f64 y.im (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))))
(fma.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) 2))) (/.f64 (.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) (.f64 x.re x.re)) (.f64 (/.f64 x.im y.im) (/.f64 x.im (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im))) (pow.f64 x.im 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 2)) 1/3) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) (pow.f64 x.im 4)))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 7)) (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 4)) 1/3) (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)))))))) (pow.f64 (exp.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 1/3)))
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(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.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))))) 1/3)
(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.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(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)))))) 1)
(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.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.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)))))) 2/3)
(.f64 (pow.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)))))) 1/6) (.f64 (pow.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)))))) 1/6) (.f64 (pow.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)))))) 1/6) (pow.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)))))) 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (pow.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))))) 1/6) 2)
(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.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (cbrt.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))))))) 3)
(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.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sqrt.f64 (exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (exp.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))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) 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 (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))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(expm1.f64 (log1p.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))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 1/3 (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))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
(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.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (.f64 1/3 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1))
(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.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.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))))))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))

eval1.4s (6.9%)

Compiler: Compiled 78802 to 29301 computations (62.8% saved)

prune448.0ms (2.3%)

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	1092	23	1115
Fresh	12	20	32
Picked	1	0	1
Done	2	2	4
Total	1107	45	1152

Error

4.53%

Counts

1152 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	32.27%	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
	76%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2)))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	15.76%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	75.89%	(+.f64 (.f64 y.re (+.f64 (/.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.im (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) (+.f64 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))
	6.04%	(.f64 (exp.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 3) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	6.45%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))
	7.45%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (.f64 1/2 (.f64 3 (log.f64 (pow.f64 (pow.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))))) 1/6) 2))))))
	6.01%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (.f64 1/2 (.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3))))))
	7.51%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (.f64 1/2 (.f64 3 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))))))
	7.35%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (.f64 1/2 (.f64 3 (log.f64 (log.f64 (exp.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)))))))))))))
	7.62%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (.f64 1/2 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))))
	6.05%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log1p.f64 (expm1.f64 (.f64 1/2 (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))))))))))
	54.58%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log1p.f64 (expm1.f64 (.f64 1/2 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))))
	6.02%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log1p.f64 (expm1.f64 (.f64 1/2 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	6.02%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	6.29%	(.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)
	78.43%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 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))))
	84.28%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) 1))
	77.37%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	82.32%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (.f64 x.re (/.f64 x.re x.im))) x.im)))))
	53.87%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (+.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 1)) (.f64 (cos.f64 (+.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 1))) (.f64 (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))) (-.f64 (.f64 (cos.f64 (+.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 1)) (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))))
	53.29%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (.f64 (cos.f64 (+.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 1))))
	53.58%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (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))))))
	53.91%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (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))))))
	53.48%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	78.38%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	77.12%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3/2))))
	77.15%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))))
	53.58%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
✓	56.04%	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
	32.3%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (+.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 1)) (.f64 (cos.f64 (+.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 1))) (.f64 (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))) (-.f64 (.f64 (cos.f64 (+.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 1)) (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)))))
	31.73%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (+.f64 (.f64 (sin.f64 (+.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)) 1)) (sin.f64 1)) (.f64 (cos.f64 (+.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 1))))
	70.88%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))
	70.88%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (cbrt.f64 (sqrt.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)))
	65.83%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	65.91%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x.im) y.im)) 3) (.f64 y.re (atan2.f64 x.im x.re)))))
	32%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	65.83%	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
	54.08%	(.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 1 (pow.f64 (/.f64 -1 x.im) y.re)))
	43.78%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
	52.27%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
	56.33%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
	88.8%	(.f64 -1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
✓	32.35%	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	28.94%	(exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))

Compiler

Compiled 1608 to 927 computations (42.4% saved)

regimes386.0ms (2%)

Counts

89 → 1

Calls

Call 1

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

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))) (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)))))))

Calls

5 calls:

103.0ms	x.re
77.0ms	y.re
66.0ms	y.im
41.0ms	x.im
12.0ms	(.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
5.74%	1	`x.re`
5.74%	1	`x.im`
5.74%	1	`y.re`
5.74%	1	`y.im`
5.74%	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 3028 to 783 computations (74.1% saved)

regimes216.0ms (1.1%)

Counts

58 → 1

Calls

Call 1

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

Calls

5 calls:

60.0ms	x.re
58.0ms	y.im
27.0ms	x.im
26.0ms	y.re
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
5.74%	1	`x.re`
5.74%	1	`x.im`
5.74%	1	`y.re`
5.74%	1	`y.im`
5.74%	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 1417 to 387 computations (72.7% saved)

regimes98.0ms (0.5%)

Counts

43 → 1

Calls

Call 1

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

Calls

5 calls:

20.0ms	x.re
19.0ms	y.re
19.0ms	x.im
18.0ms	y.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
6.02%	1	`x.re`
6.02%	1	`x.im`
6.02%	1	`y.re`
6.02%	1	`y.im`
6.02%	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 962 to 268 computations (72.1% saved)

regimes93.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

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

Calls

4 calls:

57.0ms	y.re
13.0ms	x.im
9.0ms	x.re
9.0ms	y.im

Results

Error	Segments	Branch
6.29%	1	`x.re`
6.29%	1	`x.im`
6.29%	1	`y.re`
6.29%	1	`y.im`

Compiler

Compiled 294 to 119 computations (59.5% saved)

regimes80.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
(exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 1 (pow.f64 (/.f64 -1 x.im) y.re)))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))

Outputs
(.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 1 (pow.f64 (/.f64 -1 x.im) y.re)))
(exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))

Calls

4 calls:

47.0ms	y.re
15.0ms	y.im
10.0ms	x.im
5.0ms	x.re

Results

Error	Segments	Branch
28.94%	1	`x.re`
26.63%	2	`x.im`
19.78%	2	`y.re`
26.66%	3	`y.im`

Compiler

Compiled 114 to 53 computations (53.5% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-14.141380939054933	-0.11426055049807263

Results

22.0ms	111×	body	256	valid
4.0ms	13×	body	256	infinite
2.0ms	3×	body	1024	infinite
1.0ms	1×	body	1024	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 272 to 193 computations (29% saved)

regimes20.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
(exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))

Outputs
(exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))

Calls

4 calls:

7.0ms	y.re
4.0ms	y.im
4.0ms	x.im
4.0ms	x.re

Results

Error	Segments	Branch
28.94%	1	`x.re`
28.94%	1	`x.im`
28.94%	1	`y.re`
28.94%	1	`y.im`

Compiler

Compiled 60 to 35 computations (41.7% saved)

regimes17.0ms (0.1%)

Accuracy

Total -0.3b remaining (-1.2%)

Threshold costs -0.3b (-1.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y.re
3.0ms	x.im
3.0ms	y.im
3.0ms	x.re

Results

Error	Segments	Branch
32.27%	1	`x.re`
32.27%	1	`x.im`
32.27%	1	`y.re`
32.27%	1	`y.im`

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative`
14×	`+-commutative`
12×	`neg-mul-1`
12×	`neg-sub0`
8×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	408
1	71	408
2	87	408
3	98	408
4	103	408
5	105	408

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))) (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)))))))
(.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 (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 (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 -9) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 1 (pow.f64 (/.f64 -1 x.im) y.re))) (exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.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))) (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)))))))
(.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 (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 (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 -9) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 1 (pow.f64 (/.f64 -1 x.im) y.re))) (exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.re -9) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (/.f64 -1 x.im) y.re))) (exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(exp.f64 (neg.f64 (fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))

Compiler

Compiled 167 to 102 computations (38.9% saved)

soundness152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1704×	`unswap-sqr`
1014×	`associate-/l*`
740×	`associate-*r/`
660×	`associate-/r*`
560×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	42	75
2	75	75
3	128	75
4	291	75
5	1089	75
6	4037	75
7	5670	75
8	6586	75
9	7746	75

Stop Event

1×	node limit

Compiler

Compiled 156 to 35 computations (77.6% saved)

end48.0ms (0.2%)

Compiler: Compiled 139 to 38 computations (72.7% saved)