Details

analyze421.0ms (1.9%)

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)

sample5.2s (23.9%)

Results

2.1s	2533×	body	1024	infinite
2.1s	7922×	body	256	valid
436.0ms	1046×	body	512	infinite
243.0ms	1005×	body	256	infinite
139.0ms	170×	body	1024	valid
59.0ms	152×	body	512	valid
29.0ms	32×	body	2048	infinite
11.0ms	12×	body	2048	valid

Bogosity

preprocess73.0ms (0.3%)

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)

simplify91.0ms (0.4%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

3.2b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.2b	(.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)))))
▶	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

3.2b

(*.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)))))

▶

34.4b

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (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 71 to 34 computations (52.1% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.4b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	29.7b	(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)))
✓	30.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series61.0ms (0.3%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
42.0ms	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.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.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)))
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)))
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)))

rewrite105.0ms (0.5%)

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

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

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1232×	`associate-+l+`
1094×	`+-commutative`
920×	`associate-r`
834×	`associate-+r+`
722×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	556	14652
1	1557	13328
2	6186	13328

Stop Event

1×	node limit

Counts

224 → 280

Calls

Call 1

Inputs
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))
(+.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))))))
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))))
(+.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))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.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))))))
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))))
(+.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))))))
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))
(+.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))))))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.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)))))
(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)))))
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(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)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.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)))
(-.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))))

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	29.6b	(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)

series49.0ms (0.2%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
37.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
3.0ms	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	@	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))))

rewrite81.0ms (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 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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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(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 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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))))))

simplify255.0ms (1.2%)

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))))
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(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.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)))
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(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))))
(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 (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))))
(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 (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)))

eval476.0ms (2.2%)

Compiler: Compiled 35829 to 10302 computations (71.2% saved)

prune266.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	627	18	645
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	629	18	647

Error

2.9b

Counts

647 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	14.0b	(.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))))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	3.2b	(.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 (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)))))))
	21.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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 (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))))))) (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)))
▶	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))))
	3.7b	(.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))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))))
▶	35.1b	(.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))))))
	32.6b	(.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)))))
▶	4.0b	(.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))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
▶	6.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log.f64 (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)))))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	32.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	19.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	20.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 1330 to 706 computations (46.9% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(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)))))
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
	29.6b	(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)

series59.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	x.im	@	-inf	(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)))))
2.0ms	x.re	@	inf	(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)))))
2.0ms	x.re	@	-inf	(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)))))
2.0ms	x.im	@	inf	(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)))))
2.0ms	x.re	@	0	(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)))))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
838×	`swap-sqr`
546×	`sqr-pow`
538×	`pow-sqr`
424×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	286	39
2	3328	39

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(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

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

simplify194.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-r`
1298×	`+-commutative`
964×	`associate-+r+`
896×	`*-commutative`
828×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	14502
1	1621	13482
2	6945	13470

Stop Event

1×	node limit

Counts

84 → 161

Calls

Call 1

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	17.8b	(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.re	@	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.im	@	inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite52.0ms (0.2%)

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)))

localize79.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	13.5b	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

Compiler

Compiled 125 to 40 computations (68% saved)

series65.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	x.im	@	-inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
12.0ms	x.im	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
11.0ms	x.re	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
7.0ms	x.im	@	inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
3.0ms	x.re	@	inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`associate-*r/`
996×	`distribute-lft-in`
786×	`associate-*l/`
348×	`associate-+l+`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	320	35
2	4112	33

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

Outputs

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

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1424×	`distribute-lft-in`
1128×	`associate-/l*`
944×	`fma-def`
844×	`*-commutative`
768×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	4970
1	434	4960
2	1614	4866
3	4293	4866

Stop Event

1×	node limit

Counts

80 → 77

Calls

Call 1

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

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	29.7b	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	30.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 193 to 45 computations (76.7% saved)

series340.0ms (1.6%)

Counts

1 → 32

Calls

12 calls:

Time	Variable		Point	Expression
51.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`distribute-rgt-in`
732×	`distribute-lft-in`
482×	`associate-*r/`
402×	`associate-*l/`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	356	35
2	4214	35

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(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))) (*.f64 (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) 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 (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 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 1 (*.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 (neg.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 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(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))))))))

simplify119.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-*r/`
1148×	`associate-*l/`
936×	`associate-r`
674×	`+-commutative`
666×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	9090
1	1295	7932
2	5205	7896

Stop Event

1×	node limit

Counts

70 → 107

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	2.2b	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
✓	2.9b	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
	29.6b	(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 124 to 17 computations (86.3% saved)

series195.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
68.0ms	y.im	@	-inf	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
25.0ms	x.im	@	0	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
24.0ms	y.im	@	inf	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
20.0ms	x.im	@	-inf	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
16.0ms	x.re	@	-inf	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`add-sqr-sqrt`
1780×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1616×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	193	30
2	2268	30

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

976×	`+-commutative`
756×	`unswap-sqr`
680×	`associate-*r/`
650×	`distribute-lft-in`
638×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2141
1	391	2015
2	1622	1937
3	5873	1937

Stop Event

1×	node limit

Counts

119 → 70

Calls

Call 1

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

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

eval1.1s (4.9%)

Compiler: Compiled 71798 to 24827 computations (65.4% saved)

prune495.0ms (2.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	1156	17	1173
Fresh	1	12	13
Picked	1	0	1
Done	4	0	4
Total	1162	29	1191

Error

2.9b

Counts

1191 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	44.3b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 x.re (.f64 x.re y.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 (.f64 y.im y.im) (.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	14.0b	(.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))))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	35.1b	(.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (cos.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (sin.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))))
	3.2b	(.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 (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)))))))
	35.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (-.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 1)))
	21.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (.f64 (pow.f64 (cbrt.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)))))) 3/2) (pow.f64 (cbrt.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)))))) 3/2))))
	21.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (.f64 (.f64 (cbrt.f64 (sqrt.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))))))) (cbrt.f64 (sqrt.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)))))))) (pow.f64 (cbrt.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)))))) 2))))
	3.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (fabs.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.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))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (.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)))))))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (cbrt.f64 (pow.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))))) 3))))
▶	3.7b	(.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))))))
▶	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))))
▶	32.6b	(.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)))))
	35.2b	(.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 (log.f64 (/.f64 -1 x.im)) y.im)))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
▶	4.1b	(.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)
	6.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	32.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	20.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	38.6b	(.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 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 2166 to 1186 computations (45.2% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(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)))))
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
	29.6b	(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)

series181.0ms (0.8%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
109.0ms	y.re	@	inf	(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)))))
18.0ms	y.im	@	-inf	(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)))))
16.0ms	y.re	@	-inf	(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)))))
16.0ms	y.im	@	inf	(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)))))
4.0ms	x.im	@	0	(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)))))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	288	39
2	3334	39

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (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 1 (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 *.f64 (sqrt.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)))))) (sqrt.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 *.f64 (cbrt.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)))))) (pow.f64 (cbrt.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)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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)))))) 2) (cbrt.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 *.f64 (*.f64 (sqrt.f64 (cbrt.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))))))) (cbrt.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))))))) (*.f64 (sqrt.f64 (cbrt.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))))))) (cbrt.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 *.f64 (*.f64 (cbrt.f64 (sqrt.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))))))) (cbrt.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))))))) (*.f64 (cbrt.f64 (sqrt.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))))))) (cbrt.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 *.f64 (*.f64 (sqrt.f64 (cbrt.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))))))) (sqrt.f64 (pow.f64 (cbrt.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)))))) 2))) (*.f64 (sqrt.f64 (cbrt.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))))))) (sqrt.f64 (pow.f64 (cbrt.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)))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.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))))))) (sqrt.f64 (pow.f64 (cbrt.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)))))) 2))) (*.f64 (cbrt.f64 (sqrt.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))))))) (sqrt.f64 (pow.f64 (cbrt.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)))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.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)))))) (sqrt.f64 (cbrt.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)))))))) (*.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 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simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-r`
1038×	`times-frac`
892×	`*-commutative`
836×	`associate-/l*`
816×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	542	15220
1	1743	13924

Stop Event

1×	node limit

Counts

72 → 124

Calls

Call 1

Inputs
(log.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1))
(+.f64 (log.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.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)))))) (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 x.im 2)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 24 (/.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)))) (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1))) (.f64 -3 (/.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)) (.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2) (pow.f64 x.im 4))))))) (+.f64 (log.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.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)))))) (.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 x.im 2))))))
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(log.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (log.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/2 (/.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))) (.f64 (pow.f64 x.re 2) (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(+.f64 (log.f64 (+.f64 1 (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))) (.f64 (pow.f64 x.re 2) (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 2))) (.f64 24 (/.f64 (-.f64 (.f64 -1/8 (.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))))))) (.f64 -1/4 (.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))))) (+.f64 1 (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)))))
(+.f64 (log.f64 (+.f64 1 (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))) (.f64 (pow.f64 x.re 2) (+.f64 1 (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 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 2))) (.f64 24 (/.f64 (-.f64 (.f64 -1/8 (.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))))))) (.f64 -1/4 (.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))))) (+.f64 1 (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))) (.f64 1/720 (/.f64 (+.f64 (.f64 -30 (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 3) (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (pow.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 3))) (+.f64 (.f64 720 (/.f64 (-.f64 (.f64 1/8 (.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))))))) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -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))))) (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 360 (/.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 (.f64 (pow.f64 x.im 2) (-.f64 (.f64 -1/8 (.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))))))) (.f64 -1/4 (.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 (+.f64 1 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) 2))))) (pow.f64 x.re 6))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.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))))))) (sqrt.f64 (pow.f64 (cbrt.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)))))) 2))) (.f64 (cbrt.f64 (sqrt.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))))))) (sqrt.f64 (pow.f64 (cbrt.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)))))) 2))))
(.f64 (.f64 (cbrt.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)))))) (sqrt.f64 (cbrt.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)))))))) (.f64 (cbrt.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)))))) (sqrt.f64 (cbrt.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)))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.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)))))) 2)) (cbrt.f64 (sqrt.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)))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.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)))))) 2)) (cbrt.f64 (sqrt.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)))))))))
(.f64 (pow.f64 (cbrt.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)))))) 3/2) (pow.f64 (cbrt.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)))))) 3/2))
(.f64 (pow.f64 (pow.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))))) 3) 1/6) (pow.f64 (pow.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))))) 3) 1/6))
(pow.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)
(pow.f64 (sqrt.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)))))) 2)
(pow.f64 (cbrt.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)))))) 3)
(pow.f64 (pow.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))))) 3) 1/3)
(sqrt.f64 (pow.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))))) 2))
(log.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))
(cbrt.f64 (pow.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))))) 3))
(expm1.f64 (log1p.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 (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 (.f64 (log.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))

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 70 to 14 computations (80% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	inf	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	inf	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	-inf	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	0	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`swap-sqr`
830×	`distribute-rgt-in`
776×	`distribute-lft-in`
542×	`associate-*r/`
448×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	270	35
2	3477	35

Stop Event

1×	node limit

Counts

1 → 185

Calls

Call 1

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

Outputs

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

simplify233.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1390×	`+-commutative`
1154×	`fma-def`
894×	`associate-+l-`
596×	`associate-+l+`
564×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	19267
1	1684	15663
2	6590	15663

Stop Event

1×	node limit

Counts

233 → 330

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	15.9b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 111 to 17 computations (84.7% saved)

series21.0ms (0.1%)

Counts

1 → 44

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
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	@	0	(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))))

rewrite93.0ms (0.4%)

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	29
1	268	29
2	3451	29

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

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 (*.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))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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) 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simplify175.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1194×	`fma-def`
1164×	`distribute-lft-in`
814×	`*-commutative`
770×	`associate-/l*`
620×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	5303
1	467	5135
2	1695	4859
3	4799	4859

Stop Event

1×	node limit

Counts

87 → 97

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)))
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(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)))))

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	29.6b	(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 129 to 18 computations (86% saved)

series8.0ms (0%)

Counts

1 → 32

Calls

12 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`unswap-sqr`
790×	`swap-sqr`
512×	`sqr-pow`
506×	`pow-sqr`
406×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	269	35
2	3137	35

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify166.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-+l+`
798×	`associate-*r/`
764×	`associate-/r/`
754×	`associate-r`
680×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	353	8091
1	1055	7635
2	4318	7635

Stop Event

1×	node limit

Counts

63 → 156

Calls

Call 1

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

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
✓	4.7b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
✓	22.7b	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	30.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 239 to 25 computations (89.5% saved)

series116.0ms (0.5%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
17.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite118.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`distribute-rgt-in`
744×	`distribute-lft-in`
524×	`associate-*r/`
404×	`associate-*l/`
354×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	370	61
2	4239	61

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

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

(exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))

Outputs

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

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

simplify355.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1432×	`+-commutative`
1066×	`associate-+r+`
940×	`*-commutative`
914×	`associate-/l*`
830×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1168	52643
1	3993	52429

Stop Event

1×	node limit

Counts

175 → 301

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 (pow.f64 x.re 4) (-.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 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 y.im (-.f64 (.f64 24 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.im 4))) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 24 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2)))))) (.f64 3/4 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4))))) (sqrt.f64 (log.f64 x.im)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2))) (.f64 1/16 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))))))) (.f64 3 (/.f64 1 (pow.f64 x.im 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 (pow.f64 x.re 4) (-.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 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 y.im (-.f64 (.f64 24 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.im 4))) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 24 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2)))))) (.f64 3/4 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4))))) (sqrt.f64 (log.f64 x.im)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2))) (.f64 1/16 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))))))) (.f64 3 (/.f64 1 (pow.f64 x.im 4))))))))) (.f64 (-.f64 (.f64 -1/48 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (-.f64 (.f64 24 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.im 4))) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 24 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2)))))) (.f64 3/4 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4))))) (sqrt.f64 (log.f64 x.im)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2))) (.f64 1/16 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))))))) (.f64 3 (/.f64 1 (pow.f64 x.im 4)))))) (pow.f64 x.im 2))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 -360 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.im 4))) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 24 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2)))))) (.f64 3/4 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4))))) (sqrt.f64 (log.f64 x.im)))) (+.f64 (.f64 -1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2))) (.f64 1/16 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4))))))) (pow.f64 x.im 2))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 x.im 6))) (.f64 720 (+.f64 (.f64 1/2 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.im 6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2)) (.f64 (log.f64 x.im) (pow.f64 x.im 2)))))) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 x.im 6))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 15/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 x.im) 3))) (/.f64 1 (pow.f64 x.im 6)))) (+.f64 (.f64 -180 (.f64 (/.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.im))) (/.f64 1 (pow.f64 x.im 2)))) 2))))) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 1 (log.f64 x.im))))) (.f64 720 (+.f64 (.f64 1/384 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 x.im) 3))) (/.f64 1 (pow.f64 x.im 6)))) (+.f64 (.f64 -1/8 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 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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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(pow.f64 (/.f64 1 x.im) (pow.f64 (sqrt.f64 -1) 2))
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(exp.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x.re)))))
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(exp.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 -1 x.re)))))
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(exp.f64 (sqrt.f64 (log.f64 x.re)))
(+.f64 (.f64 1/4 (.f64 (/.f64 (*.f64 (exp.f64 (sqrt.f64 (log.f64 x.re))) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) (exp.f64 (sqrt.f64 (log.f64 x.re))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (exp.f64 (sqrt.f64 (log.f64 x.re))) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.re))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.re 4))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) 2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x.re 4) (log.f64 x.re))))) (.f64 (exp.f64 (sqrt.f64 (log.f64 x.re))) (pow.f64 x.im 4))) (exp.f64 (sqrt.f64 (log.f64 x.re)))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (exp.f64 (sqrt.f64 (log.f64 x.re))) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 x.re))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.re 4))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) 2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x.re 4) (log.f64 x.re))))) (.f64 (exp.f64 (sqrt.f64 (log.f64 x.re))) (pow.f64 x.im 4))) (+.f64 (exp.f64 (sqrt.f64 (log.f64 x.re))) (.f64 (exp.f64 (sqrt.f64 (log.f64 x.re))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.re 4))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) 2)) (.f64 (pow.f64 x.re 2) (log.f64 x.re)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.re 6))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.re 4))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) 2)) (.f64 (pow.f64 x.re 2) (log.f64 x.re))))) (sqrt.f64 (/.f64 1 (log.f64 x.re))))) (.f64 1/384 (*.f64 (/.f64 1 (pow.f64 x.re 6)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 x.re) 3))))))) (pow.f64 x.im 6))))))
(exp.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x.im)))))
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(+.f64 (exp.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x.im))))) (+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x.im))))) (pow.f64 x.re 2)) (.f64 (sqrt.f64 -1) (pow.f64 x.im 2))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x.im)))))) (/.f64 (.f64 (exp.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x.im))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 x.re 4) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x.im))))) (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1/4 (pow.f64 x.re 4)) (pow.f64 (.f64 1/4 (*.f64 (/.f64 (pow.f64 x.re 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x.im)))))) 2)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 x.im)))))))) (pow.f64 x.im 4))))
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(exp.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 -1 x.im)))))
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(log1p.f64 (expm1.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))))

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

eval1.6s (7.6%)

Compiler: Compiled 129993 to 58900 computations (54.7% saved)

prune991.0ms (4.6%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	1648	18	1666
Fresh	6	18	24
Picked	1	0	1
Done	4	0	4
Total	1659	36	1695

Error

2.8b

Counts

1695 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	(.f64 (exp.f64 (-.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))) (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 (.f64 y.im y.im) (.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	14.0b	(.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))))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	32.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	35.1b	(.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (cos.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (sin.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))))
	35.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (-.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 1)))
	3.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (fabs.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.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))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (.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)))))))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
▶	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (cbrt.f64 (pow.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))))) 3))))
	3.8b	(.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	45.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 -1/2 (.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (+.f64 1 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))))) (log1p.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))))))
	45.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 -1/2 (.f64 (tan.f64 (/.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))) 2)) (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im))) (log1p.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))))))
	4.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.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)))))) 3)))
	32.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))))
	22.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (sqrt.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))))))) (cbrt.f64 (sqrt.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)))))))) (pow.f64 (cbrt.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)))))) 2))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
▶	32.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))))
▶	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (pow.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))))) 3))))
	35.2b	(.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 (log.f64 (/.f64 -1 x.im)) y.im)))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	32.6b	(.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.im (log.f64 x.im))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	32.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	45.0b	(.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 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	38.6b	(.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 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	15.0b	(.f64 (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1)
	26.3b	(.f64 (exp.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) 1)
▶	20.4b	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
▶	10.1b	(*.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)

Compiler

Compiled 2636 to 1496 computations (43.2% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(pow.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))))) 3)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
	29.6b	(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 175 to 30 computations (82.9% saved)

series85.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	x.re	@	-inf	(pow.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))))) 3)
11.0ms	x.im	@	-inf	(pow.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))))) 3)
9.0ms	x.re	@	inf	(pow.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))))) 3)
9.0ms	x.im	@	inf	(pow.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))))) 3)
8.0ms	x.re	@	0	(pow.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))))) 3)

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`unswap-sqr`
914×	`swap-sqr`
608×	`sqr-pow`
448×	`distribute-rgt-in`
408×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	337	45
2	3808	45

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(pow.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))))) 3)

Outputs

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

simplify331.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1774×	`associate-/l*`
1274×	`associate-/r*`
962×	`*-commutative`
928×	`+-commutative`
778×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1033	54848
1	4021	54848

Stop Event

1×	node limit

Counts

76 → 128

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 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	@	-inf	(*.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.re	@	inf	(*.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)))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`add-sqr-sqrt`
1496×	`*-un-lft-identity`
1378×	`add-cube-cbrt`
1358×	`add-cbrt-cube`
1340×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	179	13
2	2194	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

882×	`log-prod`
646×	`distribute-lft-out`
638×	`distribute-rgt-in`
634×	`distribute-lft-in`
606×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	946
1	97	874
2	344	802
3	1803	802
4	4898	802

Stop Event

1×	node limit

Counts

50 → 21

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 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(pow.f64 (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)
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(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)))
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(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))))

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

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.4b

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

2.2b

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

✓

3.6b

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

Compiler

Compiled 83 to 15 computations (81.9% saved)

series148.0ms (0.7%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
64.0ms	y.re	@	inf	(log.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
26.0ms	y.im	@	inf	(log.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
16.0ms	y.im	@	-inf	(log.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
15.0ms	y.re	@	-inf	(log.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
6.0ms	y.im	@	0	(log.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`swap-sqr`
832×	`associate-/r*`
704×	`associate-/l*`
664×	`associate-*r/`
472×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	283	70
2	3568	70

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

simplify207.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-r`
1020×	`fma-def`
824×	`*-commutative`
818×	`associate-l`
582×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	629	18050
1	1955	14826

Stop Event

1×	node limit

Counts

196 → 315

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(log.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (log.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (log.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (log.f64 (/.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) y.re) (pow.f64 x.im 2))) (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (*.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))))))))))
(+.f64 (log.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 -3 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (*.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (fma.f64 -3 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (+.f64 (.f64 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) 3) (.f64 (/.f64 y.re (pow.f64 x.im 4)) -6))) (.f64 1/24 (pow.f64 x.re 4))))
(+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 720 (+.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 (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) y.re) (pow.f64 x.im 2))) (.f64 30 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (pow.f64 x.re 6))) (+.f64 (log.f64 (/.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) y.re) (pow.f64 x.im 2))) (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))))))))))
(fma.f64 1/720 (.f64 (fma.f64 720 (fma.f64 -1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (/.f64 (.f64 1/48 (pow.f64 y.re 3)) (pow.f64 x.im 6)))) (fma.f64 -360 (/.f64 (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (/.f64 (.f64 x.im x.im) y.re)) (/.f64 (.f64 30 (pow.f64 y.re 3)) (pow.f64 x.im 6)))) (pow.f64 x.re 6)) (+.f64 (log.f64 (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 -3 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (.f64 (fma.f64 -3 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (+.f64 (.f64 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) 3) (.f64 (/.f64 y.re (pow.f64 x.im 4)) -6))) (.f64 1/24 (pow.f64 x.re 4)))) (fma.f64 1/720 (.f64 (fma.f64 720 (fma.f64 -1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 6) y.re)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (/.f64 1/48 (/.f64 (pow.f64 x.im 6) (pow.f64 y.re 3))))) (fma.f64 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)) 30 (.f64 (/.f64 -360 x.im) (/.f64 (.f64 y.re (fma.f64 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) 1/8 (/.f64 (.f64 y.re -1/4) (pow.f64 x.im 4)))) x.im)))) (pow.f64 x.re 6)) (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(log.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))))
(log.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))))
(-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (log.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)))))
(fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re))))))
(fma.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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)))))) (pow.f64 x.re 4))) (log.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))))))
(fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.im x.im)) (.f64 x.re x.re)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))))) (pow.f64 x.re 4)) (log.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))))))
(fma.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (fma.f64 1/24 (/.f64 (fma.f64 24 (.f64 (pow.f64 x.im 4) (+.f64 (.f64 y.re -1/4) (.f64 (.f64 y.re y.re) 1/8))) (.f64 -3 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (+.f64 (.f64 -360 (.f64 y.re (.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)))) (pow.f64 x.im 2)))) (.f64 720 (+.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))))))) (pow.f64 x.re 6))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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)))))) (pow.f64 x.re 4))) (log.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)))))))
(fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.im x.im)) (.f64 x.re x.re)) (fma.f64 1/720 (/.f64 (fma.f64 30 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (fma.f64 -360 (.f64 (.f64 y.re (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4))))) (.f64 x.im x.im)) (.f64 720 (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/48 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (.f64 1/720 (.f64 y.re (.f64 (pow.f64 x.im 6) 120)))))))) (pow.f64 x.re 6)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))))) (pow.f64 x.re 4)) (log.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re))))))))
(fma.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (fma.f64 1/720 (/.f64 (fma.f64 30 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (fma.f64 720 (+.f64 (.f64 (.f64 (pow.f64 x.im 6) 120) (.f64 y.re 1/720)) (.f64 (pow.f64 x.im 6) (+.f64 (.f64 (.f64 y.re y.re) -1/8) (.f64 1/48 (pow.f64 y.re 3))))) (.f64 (.f64 y.re (.f64 (pow.f64 x.im 4) (+.f64 (.f64 y.re -1/4) (.f64 (.f64 y.re y.re) 1/8)))) (.f64 (.f64 x.im x.im) -360)))) (pow.f64 x.re 6)) (fma.f64 1/24 (/.f64 (fma.f64 24 (.f64 (pow.f64 x.im 4) (+.f64 (.f64 y.re -1/4) (.f64 (.f64 y.re y.re) 1/8))) (.f64 -3 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (-.f64 (.f64 y.re (neg.f64 (neg.f64 (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re))))))
(log.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))))
(log.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))))
(-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (log.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)))))
(fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.im x.im)) (.f64 x.re x.re)) (log.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 y.im (atan2.f64 x.im x.re))))))
(fma.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
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(exp.f64 (log.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re)))))
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(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re)))
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(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (neg.f64 (log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
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(neg.f64 (*.f64 1 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 2))
(fabs.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
	15.9b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 158 to 31 computations (80.4% saved)

localize91.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(pow.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))))) 3)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.4b	(*.f64 y.re (atan2.f64 x.im x.re))
	29.6b	(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 175 to 30 computations (82.9% saved)

series95.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	y.im	@	0	(pow.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))))) 3)
21.0ms	x.im	@	0	(pow.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))))) 3)
9.0ms	x.re	@	inf	(pow.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))))) 3)
9.0ms	x.re	@	-inf	(pow.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))))) 3)
8.0ms	x.im	@	inf	(pow.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))))) 3)

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`unswap-sqr`
910×	`swap-sqr`
610×	`sqr-pow`
462×	`distribute-rgt-in`
420×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	335	45
2	3802	45

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(pow.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))))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.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))))) 2) (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 (pow.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))))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.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)))))) 2) 3) (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 (pow.f64 (pow.f64 (cbrt.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)))))) 2) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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))))) (pow.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))))) 2)) (*.f64 -1 (pow.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))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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))))) (pow.f64 (pow.f64 (cbrt.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)))))) 2) 3)) (*.f64 -1 (pow.f64 (pow.f64 (cbrt.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)))))) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.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))))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re 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(log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/2) (pow.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))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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)))))) 2) (*.f64 (cbrt.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)))))) (pow.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))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.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))))) 2) (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 (*.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 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x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.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))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.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))))) 3/4) (sqrt.f64 (pow.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))))) 3/2))) (*.f64 (pow.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))))) 3/4) (sqrt.f64 (pow.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))))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.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)))))) 3/2) (sqrt.f64 (pow.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))))) 3/2))) (*.f64 (pow.f64 (sqrt.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)))))) 3/2) (sqrt.f64 (pow.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))))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.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))))) 3/2)) (pow.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))))) 3/4)) (*.f64 (sqrt.f64 (pow.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))))) 3/2)) (pow.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))))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.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)))))) 3/2) (pow.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))))) 3/4)) (*.f64 (pow.f64 (sqrt.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)))))) 3/2) (pow.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))))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.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))))) 3/2)) (pow.f64 (sqrt.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)))))) 3/2)) (*.f64 (sqrt.f64 (pow.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))))) 3/2)) (pow.f64 (sqrt.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)))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.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))))) 3/4) (pow.f64 (sqrt.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)))))) 3/2)) (*.f64 (pow.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))))) 3/4) (pow.f64 (sqrt.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)))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.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))))) 2) 3/4) (pow.f64 (pow.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))))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.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)))))) 2) 3) (-.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))))) 3) 1)) (+.f64 (*.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 (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 (*.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 (-.f64 (*.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 (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 (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))))) 2)) (+.f64 1 (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 (-.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))))) 3) 1) (pow.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))))) 2)) (+.f64 (*.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 (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 (*.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 sqrt.f64 (pow.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))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify391.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1068×	`distribute-rgt-in`
1068×	`distribute-lft-in`
1058×	`*-commutative`
906×	`+-commutative`
792×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1051	50518
1	3694	48400

Stop Event

1×	node limit

Counts

86 → 140

Calls

Call 1

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

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

eval2.5s (11.4%)

Compiler: Compiled 152800 to 62048 computations (59.4% saved)

prune637.0ms (2.9%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	1200	10	1210
Fresh	1	30	31
Picked	1	0	1
Done	3	1	4
Total	1205	41	1246

Error

2.8b

Counts

1246 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	(.f64 (exp.f64 (-.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))) (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (+.f64 (.f64 (.f64 y.im y.im) (.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	14.0b	(.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))))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	32.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	35.1b	(.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (cos.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (sin.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))))
	35.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (-.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 1)))
	3.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (fabs.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.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))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	35.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 1) 3))))
	35.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) 1) 3))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))))
	3.8b	(.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	45.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 -1/2 (.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (+.f64 1 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))))) (log1p.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))))))
	45.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 -1/2 (.f64 (tan.f64 (/.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))) 2)) (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im))) (log1p.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))))))
	4.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.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)))))) 3)))
	32.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))))
	22.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (sqrt.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))))))) (cbrt.f64 (sqrt.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)))))))) (pow.f64 (cbrt.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)))))) 2))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	32.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (pow.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))))) 3))))))
	3.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.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))))) 3))))))
	35.2b	(.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 (log.f64 (/.f64 -1 x.im)) y.im)))
	3.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	32.6b	(.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.im (log.f64 x.im))))
	3.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	32.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	45.0b	(.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 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	38.6b	(.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 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	15.0b	(.f64 (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1)
	26.3b	(.f64 (exp.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) 1)
	34.5b	(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1)
✓	20.4b	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
	20.1b	(*.f64 (exp.f64 (neg.f64 (log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)
	34.4b	(*.f64 (exp.f64 (log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1)

Compiler

Compiled 1428 to 845 computations (40.8% saved)

regimes214.0ms (1%)

Counts

65 → 1

Calls

Call 1

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

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))) (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)))))))

Calls

5 calls:

77.0ms	y.im
34.0ms	x.im
29.0ms	x.re
29.0ms	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
3.2b	1	`x.re`
3.2b	1	`x.im`
3.2b	1	`y.re`
3.2b	1	`y.im`
3.2b	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 2110 to 501 computations (76.3% saved)

regimes166.0ms (0.8%)

Counts

37 → 1

Calls

Call 1

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

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:

62.0ms	x.im
21.0ms	y.im
17.0ms	x.re
17.0ms	y.re
5.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
3.2b	1	`x.re`
3.2b	1	`x.im`
3.2b	1	`y.re`
3.2b	1	`y.im`
3.2b	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 923 to 261 computations (71.7% saved)

regimes71.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))

Calls

5 calls:

15.0ms	y.im
14.0ms	x.im
13.0ms	y.re
13.0ms	x.re
4.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
3.3b	1	`x.re`
3.3b	1	`x.im`
3.3b	1	`y.re`
3.3b	1	`y.im`
3.3b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 638 to 198 computations (69% saved)

regimes136.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

58.0ms	y.re
14.0ms	x.re
13.0ms	y.im
13.0ms	x.im
5.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
3.3b	1	`x.re`
3.3b	1	`x.im`
3.3b	1	`y.re`
3.3b	1	`y.im`
3.3b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 615 to 195 computations (68.3% saved)

regimes196.0ms (0.9%)

Counts

16 → 1

Calls

Call 1

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

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

4 calls:

86.0ms	x.im
81.0ms	y.im
12.0ms	x.re
8.0ms	y.re

Results

Error	Segments	Branch
4.0b	1	`x.re`
4.0b	1	`x.im`
4.0b	1	`y.re`
4.0b	1	`y.im`

Compiler

Compiled 299 to 126 computations (57.9% saved)

regimes36.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x.re
8.0ms	x.im
7.0ms	y.im
7.0ms	y.re

Results

Error	Segments	Branch
4.1b	1	`x.re`
4.1b	1	`x.im`
4.1b	1	`y.re`
4.1b	1	`y.im`

Compiler

Compiled 217 to 109 computations (49.8% saved)

regimes48.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) 1)

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

Calls

4 calls:

12.0ms	x.re
12.0ms	y.im
11.0ms	y.re
10.0ms	x.im

Results

Error	Segments	Branch
13.5b	2	`x.re`
13.8b	3	`x.im`
6.7b	3	`y.re`
7.2b	3	`y.im`

Compiler

Compiled 64 to 45 computations (29.7% saved)

bsearch175.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
134.0ms	1.004012825963181e+83	7.814537573264462e+90
39.0ms	-2.0469944743272896e-11	-7.674286570922352e-20

Results

76.0ms	185×	body	512	infinite
57.0ms	280×	body	256	valid
18.0ms	64×	body	256	infinite
11.0ms	17×	body	1024	infinite
5.0ms	6×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 552 to 421 computations (23.7% saved)

regimes15.0ms (0.1%)

Accuracy

Total -16.4b remaining (-80.4%)

Threshold costs -16.4b (-80.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x.re
3.0ms	y.im
3.0ms	x.im
3.0ms	y.re

Results

Error	Segments	Branch
20.4b	1	`x.re`
20.4b	1	`x.im`
20.4b	1	`y.re`
20.4b	1	`y.im`

Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
8×	`*-rgt-identity`
8×	`+-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	509
1	84	509
2	92	509
3	97	509
4	100	509
5	101	509

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))) (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 (-.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))) (log1p.f64 (expm1.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))) (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))) (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 -6338253001141147/5070602400912917605986812821504) (.f64 (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1) (if (<=.f64 y.re 3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1)))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.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))) (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 (-.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))) (log1p.f64 (expm1.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))) (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))) (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 -6338253001141147/5070602400912917605986812821504) (.f64 (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1) (if (<=.f64 y.re 3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1)))
(if (or (<=.f64 y.re -6338253001141147/5070602400912917605986812821504) (not (<=.f64 y.re 3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280))) (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(if (or (<=.f64 y.re -6338253001141147/5070602400912917605986812821504) (not (<=.f64 y.re 3200000000000000046818224738159593699104137561166896189691554518943348365603674290913280))) (exp.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))

Compiler

Compiled 203 to 125 computations (38.4% saved)

soundness150.0ms (0.7%)

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)

end56.0ms (0.3%)

Compiler: Compiled 171 to 41 computations (76% saved)