Details

analyze438.0ms (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)

sample6.0s (26.7%)

Results

2.6s	2495×	body	1024	infinite
2.1s	7895×	body	256	valid
609.0ms	942×	body	512	infinite
199.0ms	865×	body	256	infinite
189.0ms	183×	body	2048	infinite
136.0ms	136×	body	512	valid
133.0ms	211×	body	1024	valid
15.0ms	14×	body	2048	valid

Bogosity

preprocess72.0ms (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))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.re x.im) y.im))) (sin.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))) (sin.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))) (sin.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))) (sin.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))) (sin.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))) (sin.f64 (+.f64 (.f64 (log.f64 (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))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))) (sin.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))) (sin.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))) (sin.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))) (sin.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)))) (sin.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))) (sin.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))) (sin.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)))) (sin.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))) (sin.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))) (sin.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))) (sin.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)))) (sin.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))) (sin.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))) (sin.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))))) (sin.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))) (sin.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))) (sin.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))) (sin.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)))) (sin.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))) (sin.f64 (fma.f64 y.re (atan2.f64 y.im x.re) (.f64 x.im (log.f64 (hypot.f64 x.re y.im))))))
(/.f64 (sin.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))) (sin.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))) (sin.f64 (+.f64 (.f64 (log.f64 (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))))) (sin.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))) (sin.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)

simplify90.0ms (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))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

2.7b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.4b	(/.f64 (sin.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)))
▶	2.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

8.4b

(/.f64 (sin.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)))

▶

2.8b

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

▶

36.3b

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

Compiler

Compiled 100 to 49 computations (51% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.7b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
✓	33.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series37.0ms (0.2%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	y.im	@	inf	(*.f64 (atan2.f64 x.im x.re) y.im)
3.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`associate-*r/`
792×	`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	5018	68

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-+r+`
1084×	`+-commutative`
940×	`associate-r`
878×	`associate-*r/`
708×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	545	13288
1	1495	12300
2	5963	12300

Stop Event

1×	node limit

Counts

216 → 268

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

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

localize31.0ms (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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.7b	(sin.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)

series65.0ms (0.3%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
48.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
4.0ms	x.im	@	-inf	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
1.0ms	x.re	@	0	(sin.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	(sin.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	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`unswap-sqr`
890×	`swap-sqr`
552×	`sqr-pow`
546×	`pow-sqr`
470×	`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 → 67

Calls

Call 1

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

Outputs

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

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`+-commutative`
894×	`associate-r`
886×	`associate-/r/`
886×	`associate-*r/`
778×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	500	10839
1	1401	9973
2	5558	9973

Stop Event

1×	node limit

Counts

135 → 279

Calls

Call 1

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	0.6b	(/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.7b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series154.0ms (0.7%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
30.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
30.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
15.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
14.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
14.0ms	y.re	@	inf	(/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
834×	`associate-/r*`
802×	`swap-sqr`
702×	`associate-/l*`
640×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	266	52
2	3384	52

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1710×	`associate-r`
1366×	`associate-l`
1190×	`associate-/l*`
912×	`*-commutative`
418×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	594	15206
1	1910	14540

Stop Event

1×	node limit

Counts

176 → 228

Calls

Call 1

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

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

eval916.0ms (4%)

Compiler: Compiled 63653 to 19043 computations (70.1% saved)

prune571.0ms (2.5%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1028	25	1053
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1031	25	1056

Error

2.5b

Counts

1056 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	8.4b	(/.f64 (sin.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 (exp.f64 (atan2.f64 x.im x.re))) 2) y.im) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	16.8b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	36.5b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 (/.f64 -1 x.im))))))
	17.6b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re))))
	24.1b	(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	33.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.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))) (pow.f64 (cbrt.f64 (sin.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))) (.f64 (pow.f64 (cbrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	33.3b	(.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
	22.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))))
▶	38.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	18.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	26.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))
▶	2.8b	(.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 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	14.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	5.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	21.4b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) 2)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	21.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2))))
▶	36.4b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3))))
	43.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3)))))
	28.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 1764 to 942 computations (46.6% saved)

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(log1p.f64 (sin.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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.7b	(sin.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)

series189.0ms (0.8%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
96.0ms	y.im	@	inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
31.0ms	y.im	@	-inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
17.0ms	y.re	@	-inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
17.0ms	y.re	@	inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
5.0ms	x.re	@	inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
838×	`swap-sqr`
544×	`sqr-pow`
538×	`pow-sqr`
424×	`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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 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simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-r`
1042×	`times-frac`
888×	`*-commutative`
834×	`associate-l`
730×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	15344
1	1678	14290

Stop Event

1×	node limit

Counts

72 → 124

Calls

Call 1

Inputs
(log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1))
(+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (.f64 (+.f64 (sin.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 (sin.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 (cos.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 (sin.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 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (.f64 (pow.f64 (+.f64 (sin.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 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (.f64 (+.f64 (sin.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 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(+.f64 (log.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)))) 1)) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 x.re 2) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))))
(+.f64 (log.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)))) 1)) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (pow.f64 (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 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2))) (.f64 24 (/.f64 (+.f64 (.f64 -1/4 (.f64 y.im (.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 -1/8 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 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)))) 1)))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 x.re 2) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (/.f64 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 x.im 6) (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 3))) (pow.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)))) 1) 3))) (+.f64 (.f64 720 (/.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))) (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 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1))) (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 y.im (.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 -1/8 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (pow.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)))) 1) 2))))) (pow.f64 x.re 6))) (+.f64 (log.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)))) 1)) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (pow.f64 (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 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2))) (.f64 24 (/.f64 (+.f64 (.f64 -1/4 (.f64 y.im (.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 -1/8 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 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)))) 1)))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 x.re 2) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1))
(log.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))
(+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (.f64 (+.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (/.f64 (.f64 y.im (.f64 x.re x.re)) (.f64 x.im x.im)))))
(fma.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1)) (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im))) (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 24 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.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 (cos.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 (sin.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 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (.f64 (pow.f64 (+.f64 (sin.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 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 x.im 2))))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 24 (/.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im))) (.f64 -1/4 (/.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) y.im)))) (+.f64 (sin.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 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (+.f64 (sin.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)))))) (+.f64 (log.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (/.f64 (.f64 y.im (.f64 x.re 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 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (pow.f64 x.im 4)) (.f64 y.im y.im)) (/.f64 (.f64 (.f64 y.im -1/4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1)) (.f64 -3 (.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 2) (pow.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1) 2)) (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)))))) (fma.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1)) (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im))) (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.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 (sin.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 (log1p.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.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 (sin.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 (log1p.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3/2))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 (sin.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))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1)
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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)
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 1))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.5b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series5.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite80.0ms (0.4%)

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1602×	`fma-def`
1026×	`associate-r`
984×	`*-commutative`
828×	`associate-l`
562×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	550
1	152	550
2	576	550
3	2797	550
4	6428	550

Stop Event

1×	node limit

Counts

22 → 33

Calls

Call 1

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

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

localize39.0ms (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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.2b	(sin.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)

series64.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	x.im	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
14.0ms	x.im	@	-inf	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
13.0ms	x.re	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
9.0ms	y.im	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
6.0ms	x.im	@	inf	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`associate-*r/`
968×	`distribute-lft-in`
740×	`associate-*l/`
368×	`associate-+l+`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	320	35
2	4102	33

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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simplify124.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1584×	`fma-def`
1010×	`associate--r+`
916×	`+-commutative`
846×	`*-commutative`
722×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	7276
1	513	7064
2	1819	6616
3	5376	6616

Stop Event

1×	node limit

Counts

96 → 117

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	7.4b	(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
✓	30.7b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 3)))
	33.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 204 to 32 computations (84.3% saved)

series34.0ms (0.2%)

Counts

2 → 63

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 3)))
4.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 3)))
2.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 3)))
2.0ms	y.re	@	-inf	(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
2.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 3)))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`associate-*r/`
804×	`associate-*l/`
420×	`add-sqr-sqrt`
408×	`*-un-lft-identity`
406×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	424	52
2	5285	52

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 3)))
(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))

Outputs

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

simplify138.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1988×	`associate-/r*`
1140×	`associate-+r+`
920×	`associate-+l+`
768×	`associate-r`
752×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	11072
1	1049	9566
2	4372	9566

Stop Event

1×	node limit

Counts

116 → 178

Calls

Call 1

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

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

localize58.0ms (0.3%)

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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.7b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 140 to 21 computations (85% saved)

eval1.1s (4.6%)

Compiler: Compiled 87197 to 30098 computations (65.5% saved)

prune751.0ms (3.3%)

Pruning

46 alts after pruning (46 fresh and 0 done)

	Pruned	Kept	Total
New	1404	34	1438
Fresh	8	12	20
Picked	1	0	1
Done	4	0	4
Total	1417	46	1463

Error

2.4b

Counts

1463 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	8.4b	(/.f64 (sin.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 (exp.f64 (atan2.f64 x.im x.re))) 2) y.im) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	36.5b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 (/.f64 -1 x.im))))))
	17.6b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re))))
	24.1b	(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	42.7b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	49.1b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	48.7b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.6b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 2))
	40.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	37.6b	(.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 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.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))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	18.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
	38.2b	(.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 (.f64 (sin.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 (cos.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))))))))
	33.3b	(.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	43.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) 2)))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	43.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3))))
	38.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	26.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (+.f64 1 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im)))))) (.f64 (/.f64 y.im x.im) (/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im)))) x.im))) (log1p.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im))))))))
	33.1b	(.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 (pow.f64 (sqrt.f64 (log1p.f64 (sin.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 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))
	16.2b	(.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 (+.f64 (log1p.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 y.im (/.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) y.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))) (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))
	33.3b	(.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 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.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))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
▶	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))))
	47.7b	(.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 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	45.9b	(.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 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))))
	14.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	34.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))
▶	39.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	21.4b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) 2)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	44.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	40.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	44.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	53.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	46.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 3272 to 1820 computations (44.4% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (cbrt.f64 (log1p.f64 (sin.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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.7b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 174 to 26 computations (85.1% saved)

series176.0ms (0.8%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
49.0ms	y.re	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (sin.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 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3)
18.0ms	x.re	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3)
17.0ms	x.re	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3)
16.0ms	x.im	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3)

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`unswap-sqr`
928×	`swap-sqr`
618×	`sqr-pow`
460×	`distribute-rgt-in`
418×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	355	39
2	3869	39

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log1p.f64 (sin.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 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (sin.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 (sin.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 (log1p.f64 (sin.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 (sin.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 (sin.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 (sin.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 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (*.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (sin.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 (cbrt.f64 (log1p.f64 (sin.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 (sin.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 (pow.f64 (cbrt.f64 (log1p.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.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 (cbrt.f64 (log1p.f64 (sin.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 (cbrt.f64 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simplify422.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-*r/`
1214×	`*-commutative`
998×	`associate-*l/`
992×	`+-commutative`
786×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1311	79511
1	5232	79395

Stop Event

1×	node limit

Counts

77 → 131

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.re (log.f64 x.re))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.5b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series59.0ms (0.3%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	y.re	@	0	(*.f64 y.re (log.f64 x.re))
10.0ms	x.re	@	inf	(*.f64 y.re (log.f64 x.re))
7.0ms	x.re	@	-inf	(*.f64 y.re (log.f64 x.re))
6.0ms	x.re	@	0	(*.f64 y.re (log.f64 x.re))
0.0ms	y.re	@	inf	(*.f64 y.re (log.f64 x.re))

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`add-sqr-sqrt`
1218×	`*-un-lft-identity`
1146×	`pow1`
1120×	`add-cube-cbrt`
1102×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	132	11
2	1536	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.re))

Outputs

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

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

816×	`distribute-lft-out`
784×	`distribute-lft-in`
774×	`distribute-rgt-in`
582×	`associate--r+`
562×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	359
1	105	359
2	337	215
3	1804	215
4	5689	215

Stop Event

1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

localize94.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.2b	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

Compiler

Compiled 127 to 64 computations (49.6% saved)

series15.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y.re	@	0	(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
1.0ms	y.re	@	inf	(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
1.0ms	x.im	@	inf	(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
1.0ms	x.im	@	0	(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
1.0ms	x.im	@	-inf	(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1614×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	203	15
2	2434	15

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))

Outputs

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

974×	`*-commutative`
808×	`fma-def`
724×	`associate-r`
636×	`distribute-lft-out`
594×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	737
1	132	737
2	416	737
3	2374	737
4	5025	737

Stop Event

1×	node limit

Counts

39 → 25

Calls

Call 1

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

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

localize74.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	1.4b	(*.f64 y.im (atan2.f64 x.im x.re))
✓	1.6b	(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
	15.2b	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

Compiler

Compiled 144 to 42 computations (70.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

18 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`add-sqr-sqrt`
1594×	`*-un-lft-identity`
1466×	`add-cube-cbrt`
1444×	`add-cbrt-cube`
1426×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	192	26
2	2020	26

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-*r/`
1052×	`times-frac`
892×	`associate-*l/`
798×	`associate-/r*`
670×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	1344
1	191	1336
2	729	1316
3	3008	1316

Stop Event

1×	node limit

Counts

92 → 33

Calls

Call 1

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

localize38.0ms (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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.7b	(sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 160 to 20 computations (87.5% saved)

series11.0ms (0%)

Counts

1 → 32

Calls

12 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`unswap-sqr`
790×	`swap-sqr`
512×	`sqr-pow`
506×	`pow-sqr`
410×	`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 → 33

Calls

Call 1

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-+r+`
862×	`associate-+l+`
824×	`associate-r`
780×	`+-commutative`
742×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	364	8449
1	1055	8025
2	4431	8025

Stop Event

1×	node limit

Counts

65 → 155

Calls

Call 1

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

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

eval1.4s (6%)

Compiler: Compiled 129072 to 53329 computations (58.7% saved)

prune586.0ms (2.6%)

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	1031	21	1052
Fresh	11	30	41
Picked	1	0	1
Done	4	0	4
Total	1047	51	1098

Error

2.4b

Counts

1098 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	8.4b	(/.f64 (sin.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 (exp.f64 (atan2.f64 x.im x.re))) 2) y.im) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	36.5b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 (/.f64 -1 x.im))))))
	17.6b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re))))
▶	24.1b	(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	49.1b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	48.7b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.6b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	19.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (-.f64 (exp.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1))) (expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))))
	40.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	37.6b	(.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 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.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))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	18.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
	33.3b	(.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (+.f64 1 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im)))))) (.f64 (/.f64 y.im x.im) (/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im)))) x.im))) (log1p.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im))))))))
	17.2b	(.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 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.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)))
	55.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) 1/3)))
▶	33.1b	(.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 (pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)))
	3.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))) 3)))
	38.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))) 3)))
	14.3b	(.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 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)))
	26.5b	(.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 (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 3)))
	16.2b	(.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 (+.f64 (log1p.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 y.im (/.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) y.re)))))
	34.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (sin.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 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))))
	33.3b	(.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 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.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))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	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))) (expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
	47.7b	(.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 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	14.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im)))))) 3))
	44.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	21.4b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) 2)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	44.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	50.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im)))))) 2))
	40.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im)))))) 3))
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (sin.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 (cos.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))))))))
▶	45.8b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) 2)))
	45.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	44.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	47.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))))))
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	46.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	53.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	48.7b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	54.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))

Compiler

Compiled 3684 to 2088 computations (43.3% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (cbrt.f64 (sin.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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.7b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 140 to 21 computations (85% saved)

series214.0ms (0.9%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
113.0ms	x.im	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
27.0ms	x.re	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
15.0ms	x.im	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
13.0ms	x.re	@	0	(pow.f64 (cbrt.f64 (sin.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	@	0	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`unswap-sqr`
882×	`swap-sqr`
586×	`sqr-pow`
560×	`pow-sqr`
436×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	336	35
2	3673	35

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

simplify301.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

984×	`*-commutative`
944×	`associate-/l*`
942×	`associate-/r*`
790×	`+-commutative`
748×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1067	51335
1	3929	48195

Stop Event

1×	node limit

Counts

83 → 132

Calls

Call 1

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

Outputs
(pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 2)) 1/3)
(cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (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 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) 1/3) (.f64 (+.f64 (.f64 1/6 (.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 2)) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 1/3) (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))))) (pow.f64 x.re 2)))
(+.f64 (cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (.f64 (fma.f64 1/6 (.f64 1 (/.f64 y.im (/.f64 (.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 1/3 (.f64 (cbrt.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (/.f64 y.im (/.f64 (.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 x.re x.re)))
(+.f64 (cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (.f64 (fma.f64 1/6 (.f64 1 (.f64 (/.f64 y.im (.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 1/3 (.f64 (cbrt.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (/.f64 y.im (.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 x.re x.re)))
(+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 1/18 (.f64 (/.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) (cos.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 (/.f64 1 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (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 -1/4 (/.f64 (.f64 y.im (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 1/12 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)) (pow.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 4)) 1/3)))) (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2)) 1/3))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (cos.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 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.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 (cos.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 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (cos.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 (pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) 1/3) (.f64 (+.f64 (.f64 1/6 (.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 2)) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 1/3) (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))))) (pow.f64 x.re 2))))
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(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.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 (cbrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6)))
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(sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))
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(pow.f64 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) 3) (cbrt.f64 (sin.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 (sin.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 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2) 3))
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(sin.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 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (cbrt.f64 (sin.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 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
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(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (sqrt.f64 (sin.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 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sqrt.f64 (sin.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 (sin.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 (sqrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (sin.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 (sqrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.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 (sin.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 (sqrt.f64 (sin.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 (sin.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 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (sqrt.f64 (sin.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 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sqrt.f64 (sin.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 (sin.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 (sqrt.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (pow.f64 (cbrt.f64 (sin.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 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)))
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(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2)) (.f64 (pow.f64 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6))) (.f64 (cbrt.f64 (sin.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 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (sin.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 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sin.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 (sin.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))
(sqrt.f64 (pow.f64 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1))
(sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 y.re (log.f64 x.re))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 65 to 12 computations (81.5% saved)

series51.0ms (0.2%)

Counts

1 → 44

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	y.re	@	0	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
6.0ms	x.im	@	0	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	y.im	@	0	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	y.im	@	-inf	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	-inf	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`swap-sqr`
796×	`distribute-rgt-in`
748×	`distribute-lft-in`
526×	`associate-*r/`
434×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	249	29
2	3244	29

Stop Event

1×	node limit

Counts

1 → 185

Calls

Call 1

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

Outputs

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

simplify291.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-+r+`
1000×	`associate-/r/`
940×	`+-commutative`
832×	`fma-def`
642×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	13831
1	1342	12437
2	5396	12429

Stop Event

1×	node limit

Counts

229 → 252

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.6b	(/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	16.5b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 71 to 13 computations (81.7% saved)

localize111.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	3.8b	(sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))) 2))
✓	15.2b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))

Compiler

Compiled 151 to 56 computations (62.9% saved)

series64.0ms (0.3%)

Counts

3 → 128

Calls

36 calls:

Time	Variable		Point	Expression
12.0ms	x.re	@	0	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
10.0ms	x.im	@	0	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
9.0ms	x.im	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
8.0ms	x.im	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
2.0ms	y.re	@	0	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`unswap-sqr`
814×	`swap-sqr`
532×	`sqr-pow`
518×	`pow-sqr`
476×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	95
1	335	83
2	3680	83

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs

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

(sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))) 2))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.im y.im)))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.im y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))) (*.f64 1 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.im y.im))))) (*.f64 (pow.f64 1 1/2) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.im 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3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) (pow.f64 (log.f64 (pow.f64 x.im y.im)) 2)) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x.im y.im)) 3) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) (*.f64 (log.f64 (pow.f64 x.im y.im)) (-.f64 (log.f64 (pow.f64 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 (*.f64 y.re (atan2.f64 x.im x.re)) 2) (pow.f64 (log.f64 (pow.f64 x.im y.im)) 2))) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im 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y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 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simplify171.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1324×	`unswap-sqr`
1276×	`associate-/r*`
938×	`fma-def`
926×	`*-commutative`
510×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	10289
1	652	9885
2	2106	9773
3	6262	9773

Stop Event

1×	node limit

Counts

245 → 139

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(log1p.f64 (sin.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 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.7b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 174 to 26 computations (85.1% saved)

eval1.8s (7.9%)

Compiler: Compiled 123690 to 46504 computations (62.4% saved)

prune848.0ms (3.7%)

Pruning

58 alts after pruning (58 fresh and 0 done)

	Pruned	Kept	Total
New	1348	20	1368
Fresh	8	38	46
Picked	1	0	1
Done	4	0	4
Total	1361	58	1419

Error

2.4b

Counts

1419 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	8.4b	(/.f64 (sin.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 (exp.f64 (atan2.f64 x.im x.re))) 2) y.im) (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	36.5b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 (/.f64 -1 x.im))))))
	17.6b	(/.f64 (sin.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 y.im (atan2.f64 x.im x.re))))
	31.5b	(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	35.1b	(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))) y.re)))
	31.7b	(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	48.7b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.6b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	19.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (-.f64 (exp.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1))) (expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))))
	40.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	37.6b	(.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 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) 2))
	3.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3)) 3))
	18.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
	14.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	26.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) 3))
	14.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3))) 3))
	3.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) 3) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	33.3b	(.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (+.f64 1 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im)))))) (.f64 (/.f64 y.im x.im) (/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im)))) x.im))) (log1p.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (.f64 (log.f64 x.im) y.im))))))))
	55.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) 1/3)))
	37.6b	(.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 (pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)))
	38.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))) 3)))
	14.3b	(.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 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)))
	26.5b	(.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 (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 3)))
	16.2b	(.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 (+.f64 (log1p.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 y.im (/.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) y.re)))))
	33.3b	(.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 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.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 (sin.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 (sin.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.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))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	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))) (expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
	47.7b	(.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 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	14.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	40.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im)))))) 3))
	44.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (expm1.f64 (log1p.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	21.4b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) 2)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	50.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im)))))) 2))
	40.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im)))))) 3))
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (sin.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 (cos.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))))))))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) 2)))
	45.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	44.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	47.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))))))
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	55.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3))
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3))
	53.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	48.7b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	54.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)))
	54.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))
	31.8b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
	51.5b	(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))
	60.4b	(.f64 (exp.f64 (fabs.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 1945 to 1127 computations (42.1% saved)

regimes343.0ms (1.5%)

Counts

103 → 1

Calls

Call 1

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

81.0ms	x.im
67.0ms	y.im
52.0ms	y.re
48.0ms	x.re
41.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
2.8b	1	`x.re`
2.8b	1	`x.im`
2.8b	1	`y.re`
2.8b	1	`y.im`
2.8b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 3166 to 736 computations (76.8% saved)

regimes531.0ms (2.3%)

Counts

47 → 3

Calls

Call 1

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

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))

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

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))

Calls

5 calls:

191.0ms	x.re
131.0ms	x.im
86.0ms	y.re
63.0ms	y.im
39.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
10.4b	5	`x.re`
7.1b	5	`x.im`
2.9b	3	`y.re`
2.9b	3	`y.im`
8.4b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1110 to 331 computations (70.2% saved)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	4.100116188212231e-35	2.146687868305859e-34
30.0ms	-1.446495971581368e-11	-6.14078042617154e-14

Results

30.0ms	128×	body	256	valid
1.0ms	3×	body	256	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 472 to 297 computations (37.1% saved)

regimes365.0ms (1.6%)

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

137.0ms	x.re
73.0ms	x.im
59.0ms	y.re
58.0ms	y.im
21.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
11.8b	6	`x.re`
8.0b	4	`x.im`
2.9b	3	`y.re`
3.7b	3	`y.im`
9.7b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1014 to 308 computations (69.6% saved)

bsearch62.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	4.112194486070657e-40	2.9165620103213905e-39
32.0ms	-8.092950720287004e-10	-8.093023121015847e-12

Results

43.0ms	195×	body	256	valid
4.0ms	7×	body	1024	valid
4.0ms	5×	body	1024	infinite
2.0ms	5×	body	512	valid
1.0ms	3×	body	512	infinite
1.0ms	1×	body	2048	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 678 to 395 computations (41.7% saved)

regimes81.0ms (0.4%)

Counts

30 → 2

Calls

Call 1

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

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))) (*.f64 y.re (atan2.f64 x.im x.re)))

Calls

4 calls:

26.0ms	x.im
14.0ms	y.im
14.0ms	y.re
14.0ms	x.re

Results

Error	Segments	Branch
18.7b	1	`x.re`
14.6b	2	`x.im`
18.7b	1	`y.re`
18.7b	1	`y.im`

Compiler

Compiled 657 to 209 computations (68.2% saved)

bsearch122.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
122.0ms	-1.4874959304787144e-31	-5.7742961555122146e-39

Results

97.0ms	141×	body	256	valid
18.0ms	29×	body	1024	infinite
2.0ms	5×	body	512	infinite
2.0ms	2×	body	1024	valid
1.0ms	3×	body	256	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 543 to 331 computations (39% saved)

regimes140.0ms (0.6%)

Counts

27 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

78.0ms	y.im
25.0ms	x.im
14.0ms	x.re
13.0ms	y.re

Results

Error	Segments	Branch
18.7b	1	`x.re`
17.6b	2	`x.im`
18.7b	1	`y.re`
18.7b	1	`y.im`

Compiler

Compiled 584 to 179 computations (69.3% saved)

bsearch53.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	-13590073.546650244	-280923.8058446208

Results

34.0ms	107×	body	256	valid
12.0ms	19×	body	1024	infinite
3.0ms	4×	body	1024	valid
2.0ms	4×	body	512	infinite
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 412 to 270 computations (34.5% saved)

regimes37.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	x.im
8.0ms	y.im
8.0ms	x.re
7.0ms	y.re

Results

Error	Segments	Branch
18.8b	1	`x.re`
18.8b	1	`x.im`
18.8b	1	`y.re`
18.8b	1	`y.im`

Compiler

Compiled 244 to 84 computations (65.6% saved)

regimes104.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

Outputs

(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))

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

(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))

Calls

4 calls:

49.0ms	y.im
17.0ms	x.im
17.0ms	x.re
17.0ms	y.re

Results

Error	Segments	Branch
25.9b	3	`x.re`
26.7b	3	`x.im`
20.8b	3	`y.re`
21.4b	3	`y.im`

Compiler

Compiled 183 to 63 computations (65.6% saved)

bsearch221.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
185.0ms	3115.8778548173004	2.7620963311918176e+41
35.0ms	-8.093023121015847e-12	-1.5016527304569533e-14

Results

69.0ms	295×	body	256	valid
66.0ms	85×	body	1024	infinite
36.0ms	116×	body	256	infinite
27.0ms	62×	body	512	infinite
10.0ms	8×	body	2048	infinite
5.0ms	6×	body	1024	valid
1.0ms	1×	body	2048	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 751 to 481 computations (36% saved)

regimes57.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))

Calls

4 calls:

43.0ms	x.re
6.0ms	x.im
4.0ms	y.re
3.0ms	y.im

Results

Error	Segments	Branch
30.3b	2	`x.re`
31.7b	1	`x.im`
31.7b	1	`y.re`
31.7b	1	`y.im`

Compiler

Compiled 61 to 34 computations (44.3% saved)

bsearch102.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
102.0ms	6.640804708831706e-20	3.387381158932856e-5

Results

32.0ms	152×	body	256	valid
23.0ms	4×	body	1024	valid
7.0ms	11×	body	1024	infinite
2.0ms	9×	body	256	infinite
2.0ms	4×	body	512	valid
2.0ms	4×	body	512	infinite

Compiler

Compiled 388 to 245 computations (36.9% saved)

regimes20.0ms (0.1%)

Accuracy

Total -25.9b remaining (-85.2%)

Threshold costs -25.9b (-85.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	x.re
3.0ms	y.im
3.0ms	y.re
3.0ms	x.im

Results

Error	Segments	Branch
30.4b	2	`x.re`
31.8b	1	`x.im`
31.8b	1	`y.re`
31.8b	1	`y.im`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch77.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
77.0ms	6.640804708831706e-20	3.387381158932856e-5

Results

64.0ms	152×	body	256	valid
3.0ms	5×	body	1024	valid
3.0ms	5×	body	1024	infinite
2.0ms	6×	body	512	infinite
2.0ms	8×	body	256	infinite
1.0ms	3×	body	512	valid

Compiler

Compiled 388 to 245 computations (36.9% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative`
34×	`+-commutative`
18×	`sub-neg`
18×	`neg-mul-1`
18×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1072
1	145	1072
2	174	1072
3	192	1072
4	200	1072
5	202	1072

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))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -2574915281713591/39614081257132168796771975168) (.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 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (if (<=.f64 y.im 4676805239458889/93536104789177786765035829293842113257979682750464) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.re -6189700196426901/309485009821345068724781056) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 8888474137022155/3064991081731777716716694054300618367237478244367204352) (/.f64 (sin.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 y.im (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im -3311214647077827/22835963083295358096932575511191922182123945984) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))) (*.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.im -5000000) (.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 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))) (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(if (<=.f64 y.re -3565267313141895/9903520314283042199192993792) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 134999999999999999869871015113347391553536) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(if (<=.f64 x.re 8854437155380585/295147905179352825856) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.re 9002011107970261/295147905179352825856) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.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))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -2574915281713591/39614081257132168796771975168) (.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 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (if (<=.f64 y.im 4676805239458889/93536104789177786765035829293842113257979682750464) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (or (<=.f64 y.im -2574915281713591/39614081257132168796771975168) (not (<=.f64 y.im 4676805239458889/93536104789177786765035829293842113257979682750464))) (.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 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(if (<=.f64 y.re -6189700196426901/309485009821345068724781056) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 8888474137022155/3064991081731777716716694054300618367237478244367204352) (/.f64 (sin.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 y.im (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -6189700196426901/309485009821345068724781056) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 8888474137022155/3064991081731777716716694054300618367237478244367204352) (/.f64 (sin.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 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im -3311214647077827/22835963083295358096932575511191922182123945984) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.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))) (*.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.im -5000000) (.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 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))) (.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.im -5000000) (.f64 (exp.f64 (-.f64 (.f64 (neg.f64 y.re) (log.f64 (/.f64 -1 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 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))) (.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.im -5000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 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))) (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(if (<=.f64 y.re -3565267313141895/9903520314283042199192993792) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 134999999999999999869871015113347391553536) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(if (or (<=.f64 y.re -3565267313141895/9903520314283042199192993792) (not (<=.f64 y.re 134999999999999999869871015113347391553536))) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(if (<=.f64 x.re 8854437155380585/295147905179352825856) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.re 8854437155380585/295147905179352825856) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (*.f64 y.re (log.f64 x.re)))))
(if (<=.f64 x.re 9002011107970261/295147905179352825856) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.re 9002011107970261/295147905179352825856) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.re (log.f64 x.re)))))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (*.f64 y.re (log.f64 x.re))))

Compiler

Compiled 401 to 210 computations (47.6% saved)

soundness148.0ms (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 170 to 35 computations (79.4% saved)

end107.0ms (0.5%)

Compiler: Compiled 365 to 100 computations (72.6% saved)