Details

analyze441.0ms (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 (25.7%)

Results

2.8s	7907×	body	256	valid
2.1s	2604×	body	1024	infinite
453.0ms	962×	body	512	infinite
298.0ms	798×	body	256	infinite
198.0ms	186×	body	2048	infinite
126.0ms	174×	body	1024	valid
66.0ms	159×	body	512	valid
16.0ms	16×	body	2048	valid

Bogosity

preprocess88.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	553
1	226	525
2	418	525
3	730	525
4	1784	525
5	7124	525
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

5 alts after pruning (5 fresh and 0 done)

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

Error

3.1b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.6b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	9.6b	(.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))))
▶	3.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	28.7b	(.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 129 to 64 computations (50.4% saved)

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	26.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	34.8b	(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 180 to 19 computations (89.4% saved)

series23.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	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.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)))
2.0ms	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)))
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)))

rewrite137.0ms (0.6%)

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

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

simplify206.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-+r+`
1086×	`+-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	5962	12300

Stop Event

1×	node limit

Counts

216 → 264

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	34.8b	(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)

series90.0ms (0.4%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
49.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
32.0ms	x.re	@	inf	(*.f64 y.re (atan2.f64 x.im x.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))))

rewrite84.0ms (0.4%)

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

Outputs

((#(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 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(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))))) (#(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 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(*.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 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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))))))

simplify152.0ms (0.6%)

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)))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
✓	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	34.8b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 99 to 15 computations (84.8% saved)

series48.0ms (0.2%)

Counts

4 → 128

Calls

39 calls:

Time	Variable		Point	Expression
14.0ms	y.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
12.0ms	y.im	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
2.0ms	x.im	@	0	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
2.0ms	x.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
1.0ms	x.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`associate-/r*`
704×	`associate-/l*`
684×	`associate-*r/`
516×	`distribute-lft-in`
504×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	98
1	361	98
2	4551	98

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

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

simplify175.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1406×	`associate-r`
974×	`*-commutative`
914×	`times-frac`
884×	`associate-l`
838×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	753	18076
1	2219	17720

Stop Event

1×	node limit

Counts

222 → 385

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	34.8b	(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)

series83.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
16.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
14.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
11.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
10.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

53 → 42

Calls

Call 1

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

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

eval1.3s (5.4%)

Compiler: Compiled 71312 to 21603 computations (69.7% saved)

prune637.0ms (2.7%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	1239	29	1268
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1243	29	1272

Error

2.4b

Counts

1272 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.6b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	19.3b	(/.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)))
	24.6b	(/.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)))
	18.1b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	36.1b	(.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) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	10.1b	(.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) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
	33.2b	(.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 (.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2)))) (*.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	33.2b	(.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 y.im (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	19.6b	(.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) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	31.4b	(.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) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
	24.6b	(.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 (.f64 y.re (atan2.f64 x.im x.re))))
	4.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 y.im (.f64 (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)))))
	34.3b	(.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 (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))
▶	3.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	24.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.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))
	34.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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)))
	23.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))))
▶	37.8b	(.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 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	18.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	3.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (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)))))))
	24.5b	(.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)))))))
	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))) (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))))))
	35.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))))
	14.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	21.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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))))))
	48.3b	(.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 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	26.7b	(.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))))
	19.1b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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))))

Compiler

Compiled 1918 to 1044 computations (45.6% saved)

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)
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	34.8b	(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)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite92.0ms (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)))))))))

simplify57.0ms (0.2%)

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)))

localize94.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.8b	(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)

series91.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
49.0ms	x.im	@	-inf	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
18.0ms	x.re	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
13.0ms	x.im	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
7.0ms	x.im	@	inf	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
1.0ms	y.re	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

rewrite84.0ms (0.4%)

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

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

simplify150.0ms (0.6%)

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

localize35.0ms (0.2%)

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)
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	34.8b	(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)

series101.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	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)
14.0ms	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)
13.0ms	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)
10.0ms	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)
10.0ms	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)

rewrite74.0ms (0.3%)

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 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(*.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 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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))))))))))

simplify287.0ms (1.2%)

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)))
(+.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))))
(+.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 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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))))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
✓	0.6b	(expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	34.8b	(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 133 to 29 computations (78.2% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y.im	@	0	(expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
0.0ms	x.im	@	-inf	(expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
0.0ms	x.im	@	0	(expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
0.0ms	y.im	@	0	(+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
0.0ms	x.im	@	inf	(expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`*-commutative`
746×	`unswap-sqr`
554×	`swap-sqr`
446×	`sqr-pow`
432×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	236	42
2	2846	42

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))

Outputs

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

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

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1634×	`associate-/r*`
1330×	`associate-+r+`
686×	`associate-*r/`
678×	`associate--l+`
656×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	327	9410
1	830	9132
2	3395	9132

Stop Event

1×	node limit

Counts

192 → 210

Calls

Call 1

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

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

eval1.4s (6%)

Compiler: Compiled 118900 to 43919 computations (63.1% saved)

prune598.0ms (2.5%)

Pruning

47 alts after pruning (47 fresh and 0 done)

	Pruned	Kept	Total
New	1410	29	1439
Fresh	6	18	24
Picked	1	0	1
Done	4	0	4
Total	1421	47	1468

Error

2.3b

Counts

1468 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	10.0b	(/.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 (log.f64 (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.9b	(/.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 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3) 1/6))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	19.3b	(/.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)))
	24.6b	(/.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)))
	18.1b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	18.1b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	36.1b	(.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) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	10.1b	(.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) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
	33.2b	(.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 (.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2)))) (*.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	33.2b	(.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 y.im (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	19.6b	(.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) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	31.4b	(.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) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
	24.6b	(.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 (.f64 y.re (atan2.f64 x.im x.re))))
	43.5b	(.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))))
	46.4b	(.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))))
	43.9b	(.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 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (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))))
▶	4.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 y.im (.f64 (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)))))
	34.3b	(.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 (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))
	39.3b	(.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 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	3.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))
	35.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))) 3))
	38.0b	(.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 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 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))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
▶	12.0b	(.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 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.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))))))))
	4.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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)))))))
	18.3b	(.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 y.re (atan2.f64 x.im x.re)))
	42.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	42.7b	(.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 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	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))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	11.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	24.5b	(.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)))))))
	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))) (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))))))
▶	3.1b	(.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 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (log.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	14.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
▶	51.5b	(.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 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	41.0b	(.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))))
	48.3b	(.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 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	44.6b	(.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))))
	41.2b	(.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))))
	53.0b	(.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))))))
▶	45.8b	(.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))))
	19.1b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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))))

Compiler

Compiled 3012 to 1764 computations (41.4% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	34.8b	(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)

series85.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	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.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)))))
14.0ms	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)))))
14.0ms	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)))))
4.0ms	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)))))

rewrite74.0ms (0.3%)

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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simplify105.0ms (0.4%)

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)))))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y.re (log.f64 x.re))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	18.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series35.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y.re	@	0	(*.f64 y.re (log.f64 x.re))
9.0ms	x.re	@	inf	(*.f64 y.re (log.f64 x.re))
6.0ms	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))

rewrite50.0ms (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))))))

simplify60.0ms (0.3%)

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)))

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.8b	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

Compiler

Compiled 131 to 62 computations (52.7% saved)

series25.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y.re	@	0	(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
8.0ms	x.re	@	inf	(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
0.0ms	y.re	@	inf	(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
0.0ms	x.re	@	0	(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
0.0ms	x.re	@	-inf	(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`add-sqr-sqrt`
1656×	`*-un-lft-identity`
1526×	`add-cube-cbrt`
1504×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	201	17
2	2405	17

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1074×	`*-commutative`
968×	`fma-def`
698×	`associate-r`
670×	`distribute-lft-out`
666×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	923
1	130	767
2	431	767
3	2487	767
4	5460	767

Stop Event

1×	node limit

Counts

39 → 22

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	25.9b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 117 to 22 computations (81.2% saved)

series173.0ms (0.7%)

Counts

3 → 100

Calls

27 calls:

Time	Variable		Point	Expression
93.0ms	y.im	@	inf	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
17.0ms	x.re	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
11.0ms	x.im	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
10.0ms	x.re	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
8.0ms	x.im	@	0	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`*-commutative`
854×	`sqrt-prod`
758×	`unswap-sqr`
574×	`swap-sqr`
438×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	258	67
2	2744	67

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/6) (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/4) (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/12) (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 4)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))))

simplify311.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-/l*`
1102×	`associate-/r*`
1020×	`associate-+r+`
974×	`+-commutative`
942×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1107	4295009712
1	3982	4295009656

Stop Event

1×	node limit

Counts

204 → 287

Calls

Call 1

Inputs
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 7))) (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 5))))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (sin.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 (+.f64 (.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 y.im (log.f64 x.re)))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 6)))) (pow.f64 x.im 6)) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6))))))) (pow.f64 x.im 6)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 6) (pow.f64 y.im 2))) (pow.f64 x.im 6))))))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6))))))) (pow.f64 x.im 6)) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 6) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))))))
(sin.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 4)))) (pow.f64 x.re 4))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.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 y.im (log.f64 x.im)))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 6))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 4)))) (pow.f64 x.re 4)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 2))) (sin.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.im))))
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(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 1)
(.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/6) (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/4) (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/12))
(.f64 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/12) (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/4))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 4)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 1))))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/6) 2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(fabs.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))

Outputs
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3)) (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (.f64 (.f64 1/120 (pow.f64 y.im 5)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 5))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3)) (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (.f64 1/120 (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 7))) (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3)) (fma.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 7)) (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (.f64 (.f64 1/120 (pow.f64 y.im 5)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3)) (fma.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 7)) (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) (.f64 1/120 (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 5))))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (sin.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (sin.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 1/2 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (/.f64 x.re (/.f64 y.im x.re)) (.f64 x.im x.im))) (sin.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4))))
(+.f64 (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im))) (.f64 -1/4 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)))) (pow.f64 x.im 4)))
(+.f64 (fma.f64 1/2 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (/.f64 x.re (/.f64 y.im x.re)) (.f64 x.im x.im))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im))) (.f64 -1/4 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)))) (pow.f64 x.im 4)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 (+.f64 (.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 y.im (log.f64 x.re)))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 6)))) (pow.f64 x.im 6)) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))))
(+.f64 (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (fma.f64 (fma.f64 (fma.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 y.im (log.f64 x.re))) (.f64 1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 6) (.f64 y.im y.im))))) (pow.f64 x.im 6) (.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im))) (.f64 -1/4 (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)))) (pow.f64 x.im 4))))
(+.f64 (fma.f64 1/2 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (/.f64 x.re (/.f64 y.im x.re)) (.f64 x.im x.im))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (fma.f64 (fma.f64 (fma.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 y.im (log.f64 x.re))) (.f64 1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 6) (.f64 y.im y.im))))) (pow.f64 x.im 6) (.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im))) (.f64 -1/4 (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)))) (pow.f64 x.im 4))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(+.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (.f64 y.im (.f64 x.re x.re)))) (*.f64 x.im x.im)))
(+.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (.f64 1/2 (/.f64 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 x.im (/.f64 (.f64 y.im (*.f64 x.re x.re)) x.im)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))))))
(fma.f64 -1/8 (/.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) (.f64 (.f64 y.im y.im) (pow.f64 x.re 4)))) (+.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 1/2 (/.f64 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (.f64 x.im x.im) (.f64 y.im (.f64 x.re x.re)))) (.f64 -1/4 (/.f64 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) (*.f64 y.im (pow.f64 x.re 4))))))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3)) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/6) 2)
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2/3)
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1/3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) 1/2)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(fabs.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.6b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	18.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 141 to 19 computations (86.5% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite86.0ms (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
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs

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

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

22 → 33

Calls

Call 1

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

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

eval1.5s (6.5%)

Compiler: Compiled 87133 to 38271 computations (56.1% saved)

prune785.0ms (3.3%)

Pruning

58 alts after pruning (57 fresh and 1 done)

	Pruned	Kept	Total
New	974	22	996
Fresh	7	35	42
Picked	1	0	1
Done	3	1	4
Total	985	58	1043

Error

2.3b

Counts

1043 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	10.0b	(/.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 (log.f64 (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.9b	(/.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 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3) 1/6))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	19.3b	(/.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)))
	24.6b	(/.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)))
	18.1b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	18.1b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	36.1b	(.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) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	10.1b	(.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) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
	33.2b	(.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 (.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2)))) (*.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	33.2b	(.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 y.im (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	19.6b	(.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) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	31.4b	(.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) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
▶	24.6b	(.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 (.f64 y.re (atan2.f64 x.im x.re))))
	43.5b	(.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))))
	46.4b	(.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))))
	43.9b	(.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 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (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))))
	4.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) 1) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
	53.4b	(.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 (pow.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) 1/3) 3))
	53.4b	(.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 (pow.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) 1/3) 3))
	12.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3) 3))
	12.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 4)) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3))
▶	34.3b	(.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 (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))
	39.3b	(.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 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	12.0b	(.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 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3))
	23.9b	(.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 (log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) 3))
	19.1b	(.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 (fabs.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3))
	40.1b	(.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 (cbrt.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)) 3))
▶	3.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))
	35.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))) 3))
	40.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 x.re)))) 3))
	41.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 x.im)))) 3))
	42.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (neg.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	12.0b	(.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 (cbrt.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3))
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.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))))))))
	18.3b	(.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 y.re (atan2.f64 x.im x.re)))
	42.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	42.7b	(.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 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
▶	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))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	43.5b	(.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 (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))))))))
	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 (+.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)))))))))
	45.8b	(.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 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (log.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	43.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) 2))))
	42.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) 2))))
	54.8b	(.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 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	41.0b	(.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))))
	48.3b	(.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 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	44.6b	(.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))))
	41.2b	(.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))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (/.f64 -1 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))))))
▶	45.8b	(.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)))
	53.0b	(.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))))))
✓	45.8b	(.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))))
	46.7b	(.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)))))
	19.1b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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))))

Compiler

Compiled 3676 to 2225 computations (39.5% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(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)
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	34.8b	(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 177 to 32 computations (81.9% saved)

series51.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	x.im	@	0	(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)
8.0ms	x.re	@	0	(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)
7.0ms	x.im	@	-inf	(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)
6.0ms	x.im	@	inf	(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)
5.0ms	x.re	@	-inf	(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)

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`unswap-sqr`
880×	`swap-sqr`
588×	`sqr-pow`
560×	`pow-sqr`
436×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	35
1	375	35
2	3710	35

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(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)

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 (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 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))))))))))

simplify310.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

982×	`*-commutative`
950×	`associate-/l*`
936×	`associate-/r*`
802×	`+-commutative`
772×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1071	51313
1	3951	48561

Stop Event

1×	node limit

Counts

83 → 134

Calls

Call 1

Inputs
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(+.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/3 (.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 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 1/3))) (.f64 1/6 (.f64 (pow.f64 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))))) (pow.f64 x.im 2)))))) (pow.f64 (.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))
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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 (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)
(cbrt.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))) 2)))
(+.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/3 (.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 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 1/3))) (.f64 1/6 (.f64 (pow.f64 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))))) (pow.f64 x.im 2)))))) (pow.f64 (.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))
(fma.f64 (.f64 x.re x.re) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (/.f64 (.f64 x.im x.im) y.im))) (.f64 1/6 (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (/.f64 (.f64 x.im x.im) y.im)))) (cbrt.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 2))))
(fma.f64 (.f64 x.re x.re) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) (.f64 (/.f64 y.im (.f64 x.im x.im)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) (/.f64 (.f64 1/6 y.im) (/.f64 (.f64 x.im x.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))))) (cbrt.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))) 2))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.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 1 1/3))) (+.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 (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 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 1/3) (+.f64 (.f64 2/3 (.f64 (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)))) 2)) 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 1/36 (.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 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 x.re 4)) (+.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/3 (.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 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 1/3))) (.f64 1/6 (.f64 (pow.f64 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))))) (pow.f64 x.im 2)))))) (pow.f64 (.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)))
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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 (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 1 1/3))
(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 1 1/3) (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.re x.re) (*.f64 x.im x.im))))))
(+.f64 (.f64 (pow.f64 1 1/3) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.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 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.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)))))))))) y.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))))) 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 (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)))
(.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 (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 (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) (.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 (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)))
(.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 (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 (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) (.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 (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) (.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 (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))
	0.2b	(*.f64 y.re (log.f64 x.re))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 65 to 12 computations (81.5% saved)

series10.0ms (0%)

Counts

1 → 44

Calls

12 calls:

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

rewrite149.0ms (0.6%)

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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(#(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)))))))

simplify220.0ms (0.9%)

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

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	18.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 71 to 13 computations (81.7% saved)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	2.3b	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
✓	18.6b	(sin.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))
✓	37.7b	(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))

Compiler

Compiled 118 to 42 computations (64.4% saved)

series9.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y.re	@	-inf	(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))
1.0ms	x.im	@	0	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
1.0ms	y.re	@	0	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
1.0ms	x.re	@	-inf	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
1.0ms	x.im	@	inf	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`*-commutative`
998×	`unswap-sqr`
944×	`sqrt-prod`
650×	`swap-sqr`
482×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	269	49
2	3005	49

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))

(sin.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))

(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))

Outputs

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

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

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1110×	`fma-def`
916×	`distribute-rgt-in`
906×	`distribute-lft-in`
568×	`times-frac`
540×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	4422
1	574	4172
2	2417	4056

Stop Event

1×	node limit

Counts

198 → 139

Calls

Call 1

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

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

localize46.0ms (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)
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	34.8b	(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)

eval1.4s (6%)

Compiler: Compiled 106380 to 39121 computations (63.2% saved)

prune776.0ms (3.3%)

Pruning

66 alts after pruning (65 fresh and 1 done)

	Pruned	Kept	Total
New	1279	21	1300
Fresh	8	44	52
Picked	1	0	1
Done	4	1	5
Total	1292	66	1358

Error

2.3b

Counts

1358 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	10.0b	(/.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 (log.f64 (+.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.9b	(/.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 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 3) 1/6))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	19.3b	(/.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)))
	18.1b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	18.1b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	34.2b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	36.1b	(.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) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	10.1b	(.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) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
	33.2b	(.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 (.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2)))) (*.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	33.2b	(.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 y.im (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))
	19.6b	(.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) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	31.4b	(.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) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
	42.8b	(.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	33.1b	(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	45.8b	(.f64 (exp.f64 (-.f64 (-.f64 (+.f64 1 (.f64 y.re (log.f64 x.re))) 1) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	43.5b	(.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))))
	43.9b	(.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))))
	4.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) 1) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
	53.4b	(.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 (pow.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) 1/3) 3))
	53.4b	(.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 (pow.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) 1/3) 3))
	12.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3) 3))
	12.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 4)) (cbrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3))
	51.1b	(.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))
	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 2))
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 2))
	40.0b	(.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 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	12.0b	(.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 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3))
	23.9b	(.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 (log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) 3))
	19.1b	(.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 (fabs.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3))
	18.3b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3)) 3))
	35.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))) 3))
	40.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 x.re)))) 3))
	41.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 x.im)))) 3))
	42.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (neg.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	12.0b	(.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 (cbrt.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3))
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.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))))))))
	18.3b	(.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 y.re (atan2.f64 x.im x.re)))
	42.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	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 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	18.3b	(.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 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re))))
	42.7b	(.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 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
✓	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))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	43.5b	(.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 (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))))))))
	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 (+.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)))))))))
	45.8b	(.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 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (log.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
	43.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) 2))))
	42.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) 2))))
	54.8b	(.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 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	41.0b	(.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))))
	48.3b	(.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 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	41.2b	(.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))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (/.f64 -1 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))))))
	55.2b	(.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))
	53.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))
	45.9b	(.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))
	49.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))
	53.0b	(.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))))))
	46.7b	(.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))))
	54.0b	(.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)))))
	33.2b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
	19.1b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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))))
	33.1b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	52.2b	(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 2024 to 1234 computations (39% saved)

regimes350.0ms (1.5%)

Counts

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

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

Calls

5 calls:

83.0ms	x.im
60.0ms	x.re
59.0ms	(.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))))
50.0ms	y.im
49.0ms	y.re

Results

Error	Segments	Branch
3.1b	1	`x.re`
3.1b	1	`x.im`
3.1b	1	`y.re`
3.1b	1	`y.im`
3.1b	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 2922 to 680 computations (76.7% saved)

regimes203.0ms (0.9%)

Counts

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

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:

43.0ms	x.im
41.0ms	y.re
39.0ms	y.im
35.0ms	x.re
15.0ms	(.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
3.1b	1	`x.re`
3.1b	1	`x.im`
3.1b	1	`y.re`
3.1b	1	`y.im`
3.1b	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 1870 to 468 computations (75% saved)

regimes574.0ms (2.4%)

Counts

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

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

(*.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

5 calls:

314.0ms	x.re
76.0ms	y.im
72.0ms	y.re
71.0ms	x.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
7.0b	7	`x.re`
6.6b	3	`x.im`
2.9b	3	`y.re`
3.1b	3	`y.im`
7.3b	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 1271 to 352 computations (72.3% saved)

bsearch91.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	1.0538047133404817e-16	5.373345706907225e-6
41.0ms	-6.541303234922388e-8	-4.282594972280982e-9

Results

55.0ms	236×	body	256	valid
20.0ms	12×	body	1024	valid
4.0ms	6×	body	512	valid
2.0ms	4×	body	1024	infinite
2.0ms	5×	body	512	infinite
2.0ms	2×	body	2048	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 838 to 495 computations (40.9% saved)

regimes105.0ms (0.4%)

Counts

33 → 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 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (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))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (+.f64 1 (.f64 y.re (log.f64 x.re))) 1) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (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))) (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 (log.f64 (/.f64 -1 x.re)) (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 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (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)) (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.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))) (sqrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))
(.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 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.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) (.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 (/.f64 -1 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 (/.f64 -1 x.re)) (neg.f64 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 (/.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 (.f64 y.re (atan2.f64 x.im x.re))))
(/.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 (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 (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 (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:

43.0ms	y.re
16.0ms	y.im
16.0ms	x.re
16.0ms	x.im

Results

Error	Segments	Branch
18.1b	1	`x.re`
18.1b	1	`x.im`
16.8b	3	`y.re`
18.1b	1	`y.im`

Compiler

Compiled 717 to 220 computations (69.3% saved)

bsearch94.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	3.200079488013168e-210	5.9645165890297854e-195
42.0ms	-4.081104750700656e-279	-2.36120489778955e-281

Results

65.0ms	258×	body	256	valid
13.0ms	12×	body	1024	valid
4.0ms	9×	body	256	infinite
3.0ms	8×	body	512	infinite
2.0ms	3×	body	1024	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 922 to 593 computations (35.7% saved)

regimes63.0ms (0.3%)

Counts

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

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

Calls

4 calls:

14.0ms	y.re
14.0ms	y.im
13.0ms	x.re
12.0ms	x.im

Results

Error	Segments	Branch
18.1b	1	`x.re`
18.1b	1	`x.im`
18.1b	1	`y.re`
18.1b	1	`y.im`

Compiler

Compiled 552 to 167 computations (69.7% saved)

regimes59.0ms (0.3%)

Counts

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

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

Calls

4 calls:

13.0ms	x.im
13.0ms	x.re
13.0ms	y.re
11.0ms	y.im

Results

Error	Segments	Branch
18.3b	1	`x.re`
18.3b	1	`x.im`
18.3b	1	`y.re`
18.3b	1	`y.im`

Compiler

Compiled 511 to 161 computations (68.5% saved)

regimes92.0ms (0.4%)

Counts

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

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

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

Calls

4 calls:

36.0ms	y.im
23.0ms	y.re
18.0ms	x.im
11.0ms	x.re

Results

Error	Segments	Branch
27.8b	2	`x.re`
25.9b	3	`x.im`
21.2b	3	`y.re`
24.7b	5	`y.im`

Compiler

Compiled 203 to 65 computations (68% saved)

bsearch238.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
136.0ms	9.068001307821213e+54	1.2819687370168023e+61
102.0ms	-429139094073.00195	-231953400.28119692

Results

142.0ms	272×	body	256	valid
43.0ms	60×	body	1024	infinite
23.0ms	48×	body	512	infinite
22.0ms	86×	body	256	infinite
3.0ms	2×	body	2048	infinite

Compiler

Compiled 745 to 467 computations (37.3% saved)

regimes79.0ms (0.3%)

Counts

5 → 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 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (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))) (.f64 y.re (atan2.f64 x.im x.re)))

Outputs

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

Calls

4 calls:

49.0ms	y.im
12.0ms	x.im
8.0ms	y.re
8.0ms	x.re

Results

Error	Segments	Branch
27.8b	2	`x.re`
32.0b	3	`x.im`
30.9b	2	`y.re`
31.8b	3	`y.im`

Compiler

Compiled 94 to 41 computations (56.4% saved)

bsearch69.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
68.0ms	1.5589075342588162e-294	6.482039718845598e-292

Results

62.0ms	128×	body	256	valid
4.0ms	6×	body	1024	infinite
0.0ms	1×	body	512	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 376 to 225 computations (40.2% saved)

regimes40.0ms (0.2%)

Counts

4 → 4

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

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

16.0ms	x.re
11.0ms	y.im
7.0ms	y.re
4.0ms	x.im

Results

Error	Segments	Branch
30.8b	4	`x.re`
33.1b	1	`x.im`
31.2b	2	`y.re`
31.8b	3	`y.im`

Compiler

Compiled 77 to 37 computations (51.9% saved)

bsearch168.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
39.0ms	2.4241720951486324e+22	3.5929967355104537e+25
90.0ms	1.778707724826507e-40	2.7811102346918386e-34
39.0ms	3.751619250620421e-154	1.2362458323041499e-146

Results

142.0ms	408×	body	256	valid
10.0ms	16×	body	1024	infinite
3.0ms	6×	body	512	infinite
2.0ms	11×	body	256	infinite
2.0ms	5×	body	512	valid
2.0ms	3×	body	1024	valid
1.0ms	1×	body	2048	infinite

Compiler

Compiled 958 to 623 computations (35% saved)

regimes33.0ms (0.1%)

Accuracy

Total -27.2b remaining (-88%)

Threshold costs -27.2b (-88%)

Counts

2 → 4

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)))
(.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:

14.0ms	x.re
9.0ms	y.im
5.0ms	y.re
3.0ms	x.im

Results

Error	Segments	Branch
30.9b	4	`x.re`
33.2b	1	`x.im`
31.3b	2	`y.re`
31.9b	3	`y.im`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch167.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
37.0ms	2.4241720951486324e+22	3.5929967355104537e+25
65.0ms	1.778707724826507e-40	2.7811102346918386e-34
65.0ms	2.6697086998394644e-171	3.2801313543794608e-165

Results

146.0ms	411×	body	256	valid
9.0ms	14×	body	1024	infinite
2.0ms	5×	body	512	valid
2.0ms	10×	body	256	infinite
2.0ms	5×	body	512	infinite

Compiler

Compiled 932 to 597 computations (35.9% saved)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative`
20×	`+-commutative`
10×	`sub-neg`
10×	`neg-mul-1`
10×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1239
1	137	1171
2	159	1171
3	175	1163
4	182	1163
5	185	1163

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))) (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))) (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.re -5440166188265831/1208925819614629174706176) (.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 1166238552209971/5070602400912917605986812821504) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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)))) (.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 -8828958860482549/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (.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 2442984440132303/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.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 (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))) (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)))
(if (<=.f64 y.re -235000000) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 8800000000000000286071233126055805071651635439784266039296) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.re 8269388420366653/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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))) (*.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.re 1293437715931169/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 1376851462496697/5986310706507378352962293074805895248510699696029696) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 2899999999999999790284800) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.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 6639224910209589/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 68962299338965/383123885216472214589586756787577295904684780545900544) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 4500000000000000192937984) (.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))) (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))) (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.re -5440166188265831/1208925819614629174706176) (.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 1166238552209971/5070602400912917605986812821504) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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)))) (.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 -8828958860482549/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (.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 2442984440132303/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.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 (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 -8828958860482549/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (.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 2442984440132303/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.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 (neg.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 y.re -8828958860482549/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (.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 2442984440132303/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.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.im (neg.f64 (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)))))
(.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 (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 -235000000) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 8800000000000000286071233126055805071651635439784266039296) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (or (<=.f64 y.re -235000000) (not (<=.f64 y.re 8800000000000000286071233126055805071651635439784266039296))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)) (.f64 (sin.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 8269388420366653/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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))) (*.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.re 8269388420366653/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432) (.f64 (sin.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 (.f64 y.re (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 x.re 1293437715931169/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 1376851462496697/5986310706507378352962293074805895248510699696029696) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 2899999999999999790284800) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.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 1293437715931169/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (if (or (<=.f64 x.re 1376851462496697/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x.re 2899999999999999790284800))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(if (or (<=.f64 x.re 1293437715931169/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (not (or (<=.f64 x.re 1376851462496697/5986310706507378352962293074805895248510699696029696) (not (<=.f64 x.re 2899999999999999790284800))))) (.f64 (sin.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)))))
(if (or (<=.f64 x.re 1293437715931169/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (and (not (<=.f64 x.re 1376851462496697/5986310706507378352962293074805895248510699696029696)) (<=.f64 x.re 2899999999999999790284800))) (.f64 (sin.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)))))
(if (<=.f64 x.re 6639224910209589/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 68962299338965/383123885216472214589586756787577295904684780545900544) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 4500000000000000192937984) (.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 6639224910209589/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (if (or (<=.f64 x.re 68962299338965/383123885216472214589586756787577295904684780545900544) (not (<=.f64 x.re 4500000000000000192937984))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.re (log.f64 x.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 (or (<=.f64 x.re 6639224910209589/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (not (or (<=.f64 x.re 68962299338965/383123885216472214589586756787577295904684780545900544) (not (<=.f64 x.re 4500000000000000192937984))))) (.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)))))
(if (or (<=.f64 x.re 6639224910209589/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (and (not (<=.f64 x.re 68962299338965/383123885216472214589586756787577295904684780545900544)) (<=.f64 x.re 4500000000000000192937984))) (.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 434 to 218 computations (49.8% saved)

soundness513.0ms (2.2%)

Algorithm

4×	egg-herbie

Rules

1704×	`unswap-sqr`
1704×	`unswap-sqr`
1704×	`unswap-sqr`
1406×	`associate-r`
1014×	`associate-/l*`

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
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
0	753	18076
1	2219	17720
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
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 637 to 134 computations (79% saved)

end105.0ms (0.4%)

Compiler: Compiled 394 to 92 computations (76.6% saved)