Details

analyze427.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
15.6%	15.6%	84.2%	0.2%	0%	0%	0%	6
23.4%	23.4%	76.4%	0.2%	0%	0%	0%	7
26.6%	26.5%	73.3%	0.2%	0%	0%	0%	8
35.5%	35.5%	64.3%	0.2%	0%	0%	0%	9
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	10
46.4%	46.3%	53.5%	0.2%	0%	0%	0%	11
46.9%	46.8%	53%	0.2%	0%	0%	0%	12

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample5.9s (23.6%)

Results

2.3s	7923×	body	256	valid
2.1s	2584×	body	1024	infinite
451.0ms	953×	body	512	infinite
428.0ms	883×	body	256	infinite
256.0ms	175×	body	1024	valid
244.0ms	197×	body	2048	infinite
66.0ms	142×	body	512	valid
18.0ms	16×	body	2048	valid

Bogosity

preprocess74.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

3.8b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.6b	(.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))))
▶	3.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	33.2b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

8.6b

(*.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))))

▶

3.8b

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

▶

33.2b

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

Compiler

Compiled 100 to 49 computations (51% saved)

localize90.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	31.1b	(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	y.im	@	inf	(*.f64 (atan2.f64 x.im x.re) y.im)
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)))
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)))

rewrite122.0ms (0.5%)

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)))))))

simplify176.0ms (0.7%)

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
✓	0.2b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	31.1b	(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)

series81.0ms (0.3%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
69.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
3.0ms	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))))
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))))

rewrite109.0ms (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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(*.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 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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))))))

simplify183.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

135 → 279

Calls

Call 1

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

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

localize34.0ms (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))
✓	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	31.1b	(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)

series43.0ms (0.2%)

Counts

4 → 140

Calls

42 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))
6.0ms	y.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
3.0ms	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))
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	y.im	@	0	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))

rewrite137.0ms (0.5%)

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	112
1	361	112
2	4551	112

Stop Event

1×	node limit

Counts

4 → 108

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))
(fma.f64 y.re (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)))))))))
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(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x 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(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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify181.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-r`
1006×	`*-commutative`
996×	`associate-l`
866×	`associate-/l*`
696×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	785	20156
1	2354	19996

Stop Event

1×	node limit

Counts

248 → 402

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

eval744.0ms (3%)

Compiler: Compiled 58825 to 17988 computations (69.4% saved)

prune648.0ms (2.6%)

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	1016	40	1056
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1019	40	1059

Error

3.1b

Counts

1059 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	28.3b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	8.6b	(.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))) 3) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
▶	36.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (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))
	54.2b	(.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 1/720 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (.f64 (pow.f64 x.re 6) 120)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.im))) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im) (/.f64 (.f64 (pow.f64 x.re 4) -1/4) (/.f64 (pow.f64 x.im 4) y.im))))))))
	51.3b	(.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 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 y.re (atan2.f64 x.im x.re) (/.f64 (.f64 1/2 (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im))))))
	36.5b	(.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 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
	9.1b	(.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 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3)))
	31.0b	(.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 (-.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 2)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
	40.4b	(.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 (-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 1)))
	9.2b	(.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 (.f64 (pow.f64 (cbrt.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 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	21.2b	(.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 (.f64 y.re (atan2.f64 x.im x.re))))
	39.4b	(.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 (sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	20.0b	(.f64 (/.f64 1 (exp.f64 (.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))))
	8.8b	(.f64 (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)))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	4.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))
	34.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (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))
	4.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))
▶	4.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	34.7b	(.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 (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)))
▶	30.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
	24.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	36.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	16.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	16.9b	(.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
	15.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))))
	13.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	23.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (exp.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	44.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2))) (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))))
	25.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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))))))
	45.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))
	42.7b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	22.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.7b	(.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 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	47.2b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2))))
	43.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3)))))
	26.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.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))))
	20.0b	(.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 2904 to 1578 computations (45.7% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	31.1b	(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 183 to 25 computations (86.3% saved)

series76.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
44.0ms	x.im	@	-inf	(cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
5.0ms	x.re	@	inf	(cbrt.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.im	@	inf	(cbrt.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	@	0	(cbrt.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	(cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`unswap-sqr`
842×	`swap-sqr`
548×	`sqr-pow`
538×	`pow-sqr`
422×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	286	39
2	3333	39

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

simplify140.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-r`
1114×	`*-commutative`
978×	`associate-l`
522×	`times-frac`
502×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	19636
1	2048	17800

Stop Event

1×	node limit

Counts

78 → 130

Calls

Call 1

Inputs
(pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 1/3)
(+.f64 (.f64 1/6 (.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)))) 2)) 1/3) (/.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)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 1/3))
(+.f64 (.f64 1/6 (.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)))) 2)) 1/3) (/.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 (.f64 1/3 (.f64 (.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 x.re 4)) (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)))) 2)) 1/3))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 1/3)))
(+.f64 (.f64 1/6 (.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)))) 2)) 1/3) (/.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 (.f64 1/3 (.f64 (.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 x.re 4)) (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)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.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)))) 2)) 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 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 (.f64 1/216 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 y.im 3)) (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2) (pow.f64 x.im 6)))) (.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)))) (.f64 (-.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))))) 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) (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 6)))) (pow.f64 (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 (sqrt.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 (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 (sqrt.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 (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 (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)))))) 3/2) (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)))))) 3/2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.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 (log1p.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3)
(pow.f64 (cbrt.f64 (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 (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) 2)
(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)
(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)))))) 3)
(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))
(log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))
(expm1.f64 (log1p.f64 (cbrt.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 (cbrt.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))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (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 (cbrt.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 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 1/3)
(cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 1/6 (.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)))) 2)) 1/3) (/.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)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 1/3))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 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))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 2))) (/.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (.f64 x.re (.f64 x.re y.im))) (.f64 x.im x.im))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(+.f64 (.f64 1/6 (.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)))) 2)) 1/3) (/.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 (.f64 1/3 (.f64 (.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 x.re 4)) (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)))) 2)) 1/3))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 1/3)))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 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))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 2))) (.f64 (+.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im))) (.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.im 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))) (.f64 -1/12 (.f64 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 4) (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 2))) (cbrt.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 4)))))) (pow.f64 x.re 4))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 2))) (/.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (.f64 x.re (.f64 x.re y.im))) (.f64 x.im x.im))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 2))) (.f64 (+.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.im 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 (.f64 -1/12 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 2))) (cbrt.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) 4))))) (pow.f64 x.re 4))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))
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(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)))) 1/3)
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(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)))) 1/3)
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(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)))) 1/3)
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(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)))) 1/3)
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(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)))) 1/3)
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(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)))) 1/3)
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(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)))) 1/3)
(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)))))
(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)))) 1/3)
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(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)))) 1/3)
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(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)))) 1/3)
(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)))))
(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)))) 1/3)
(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)))))
(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)))) 1/3)
(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)))))
(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)))) 1/3)
(cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (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 (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))))) 1)
(cbrt.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 (cbrt.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 (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))
(cbrt.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 (cbrt.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 (cbrt.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 (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)))))))
(cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 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))))))
(cbrt.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)) (.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 (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) 3))
(.f64 (.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) 1/6) (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) 1/6)) (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 (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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) 1/6) (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) 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) 1/6) (.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 (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) 1/6)))
(.f64 (.f64 (sqrt.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))))))) (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 (sqrt.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))))))) (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))))))))
(cbrt.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 (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)) (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 (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)))) 1/6)) (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 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6)) (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)))) 1/6))) (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 (.f64 (sqrt.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))))))) (sqrt.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 (sqrt.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))))))) (sqrt.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 (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 (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)) (sqrt.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 (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)) (sqrt.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 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6)) (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)))) 1/6))) (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 (.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)))))) (sqrt.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)))))))) (.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)))))) (sqrt.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)))))))))
(cbrt.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 (cbrt.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 (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 (sqrt.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 (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 (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)))) 1/6)) (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)))) 1/6))) (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 (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)))))) 3/2) (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)))))) 3/2))
(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 (.f64 (exp.f64 (log1p.f64 (cbrt.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 (log1p.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (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 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.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 1 (exp.f64 (log1p.f64 (cbrt.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 -1 (exp.f64 (.f64 2 (log1p.f64 (cbrt.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 (exp.f64 (log1p.f64 (cbrt.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3)
(cbrt.f64 (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))))) 1)
(cbrt.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) 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)))))
(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)
(.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 (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 (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) 3))
(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)))))) 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)))))
(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))
(fabs.f64 (cbrt.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 (exp.f64 (cbrt.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)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.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)))))
(expm1.f64 (log1p.f64 (cbrt.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)))))
(exp.f64 (log.f64 (cbrt.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)))))
(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))))) 1/3))
(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)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (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 (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 (cbrt.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)))))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.6b	(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.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)))
0.0ms	x.im	@	-inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(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)))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	31.1b	(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 102 to 16 computations (84.3% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`*-commutative`
836×	`unswap-sqr`
648×	`swap-sqr`
476×	`sqr-pow`
470×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	250	31
2	2905	31

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1502×	`fma-def`
990×	`times-frac`
802×	`associate-/l*`
698×	`*-commutative`
630×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	6406
1	653	5444
2	2431	5374

Stop Event

1×	node limit

Counts

94 → 139

Calls

Call 1

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

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	2.6b	(exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
✓	6.4b	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	15.3b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))

Compiler

Compiled 127 to 17 computations (86.6% saved)

series222.0ms (0.9%)

Counts

3 → 96

Calls

30 calls:

Time	Variable		Point	Expression
100.0ms	x.im	@	-inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
29.0ms	x.im	@	inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
29.0ms	x.re	@	-inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
12.0ms	y.re	@	-inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
12.0ms	y.re	@	0	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`unswap-sqr`
842×	`swap-sqr`
548×	`sqr-pow`
540×	`distribute-rgt-in`
538×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	298	65
2	3348	65

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs

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

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

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

simplify162.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-+r+`
1072×	`associate-+l+`
974×	`+-commutative`
956×	`associate-r`
784×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	11692
1	1505	11156
2	5625	11156

Stop Event

1×	node limit

Counts

226 → 256

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

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

localize111.0ms (0.4%)

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))
	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	31.1b	(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 131 to 21 computations (84% saved)

eval1.3s (5.1%)

Compiler: Compiled 133406 to 43787 computations (67.2% saved)

prune977.0ms (3.9%)

Pruning

67 alts after pruning (66 fresh and 1 done)

	Pruned	Kept	Total
New	1751	43	1794
Fresh	12	23	35
Picked	1	0	1
Done	3	1	4
Total	1767	67	1834

Error

3.0b

Counts

1834 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	8.6b	(.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))) 3) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	36.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.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)))) 3)) 2))
	43.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2))) 2))
	36.5b	(.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 (sqrt.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3))) 2))
	51.5b	(.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 (sqrt.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 2))
	41.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	54.2b	(.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 1/720 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (.f64 (pow.f64 x.re 6) 120)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.im))) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im) (/.f64 (.f64 (pow.f64 x.re 4) -1/4) (/.f64 (pow.f64 x.im 4) y.im))))))))
	51.3b	(.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 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 y.re (atan2.f64 x.im x.re) (/.f64 (.f64 1/2 (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im))))))
	36.5b	(.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 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
	9.1b	(.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 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3)))
	31.0b	(.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 (-.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 2)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
	40.4b	(.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 (-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 1)))
	21.2b	(.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 (.f64 y.re (atan2.f64 x.im x.re))))
	39.4b	(.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 (sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	20.0b	(.f64 (/.f64 1 (exp.f64 (.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))))
	8.8b	(.f64 (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)))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	44.4b	(.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))))
	47.3b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.5b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.2b	(.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))))
	23.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (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)))))))
	4.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))
	38.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	4.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))
	35.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.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) 2) 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)))))))
	34.7b	(.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 (pow.f64 (cbrt.f64 (.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))) 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)))))))
	51.0b	(.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 (cbrt.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 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 1/3)))
	4.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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)))))) 3)))
	36.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (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 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.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))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re)))))
	38.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re)))))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	16.9b	(.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
	20.9b	(.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 (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	38.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	37.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	21.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))
	23.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (exp.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	40.6b	(.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))))
	45.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))
	42.7b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	22.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.7b	(.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 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	26.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	45.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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))
	50.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))
✓	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))))
	48.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (/.f64 (.f64 (.f64 1/2 y.im) (.f64 x.re x.re)) (*.f64 x.im x.im))))))
	53.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 1/6 (/.f64 (pow.f64 x.re 6) (/.f64 (pow.f64 x.im 6) y.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (.f64 -1/4 (/.f64 (*.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)))))))))
▶	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	48.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (exp.f64 2) (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))))))
	51.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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.re))))))
	39.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))))
▶	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))))
	43.8b	(.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))))
	44.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	43.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3))))
	43.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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))))))
	42.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.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))))
▶	45.1b	(.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))))
	40.8b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.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))
	20.0b	(.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 4742 to 2646 computations (44.2% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 y.re)
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	31.0b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re))))

Compiler

Compiled 147 to 40 computations (72.8% saved)

series30.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
19.0ms	x.im	@	inf	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re))))
2.0ms	x.im	@	0	(*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2))
1.0ms	x.re	@	0	(*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2))
1.0ms	x.re	@	0	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re))))
1.0ms	x.im	@	-inf	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re))))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`unswap-sqr`
1002×	`swap-sqr`
480×	`distribute-rgt-in`
424×	`distribute-lft-in`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	352	63
2	4045	63

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re))))

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

(cbrt.f64 y.re)

Outputs

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

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

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

simplify122.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1916×	`associate-/r*`
1178×	`associate-+r+`
904×	`associate-+l+`
858×	`associate-r`
804×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	9784
1	1209	9126
2	4680	9126

Stop Event

1×	node limit

Counts

144 → 193

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.re (log.f64 x.re))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.6b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series69.0ms (0.3%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x.re	@	0	(*.f64 y.re (log.f64 x.re))
13.0ms	x.re	@	-inf	(*.f64 y.re (log.f64 x.re))
13.0ms	y.re	@	0	(*.f64 y.re (log.f64 x.re))
6.0ms	x.re	@	inf	(*.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))))))

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	0.2b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	24.1b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 95 to 16 computations (83.2% saved)

series22.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	y.im	@	0	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
5.0ms	y.im	@	0	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
1.0ms	x.im	@	inf	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
1.0ms	x.re	@	inf	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
1.0ms	x.re	@	0	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`add-sqr-sqrt`
1776×	`*-un-lft-identity`
1630×	`add-cube-cbrt`
1604×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	191	38
2	2208	38

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-+r+`
1044×	`associate-+l+`
924×	`+-commutative`
844×	`associate-/r/`
798×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	364	7319
1	1034	6641
2	4206	6641

Stop Event

1×	node limit

Counts

103 → 226

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

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 y.im (log.f64 (hypot.f64 x.im 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))))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 -1/6 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(fma.f64 -1/6 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (.f64 y.im (log.f64 (hypot.f64 x.im 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 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5)))))
(fma.f64 -1/6 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (pow.f64 y.im 5) (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5) 1/120))))
(+.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 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (fma.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 7)) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 1/120 (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5))))))
(fma.f64 -1/6 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (fma.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 7)) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (pow.f64 y.im 5) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5) 1/120)))))
(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 (.f64 (.f64 y.im (.f64 x.im x.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 x.re x.re)) (sin.f64 (.f64 y.im (log.f64 x.re))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) x.re)) (sin.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) y.im) (cos.f64 (.f64 y.im (log.f64 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))) (+.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 (.f64 (.f64 y.im (.f64 x.im x.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 x.re 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 y.im (/.f64 (pow.f64 x.re 4) (cos.f64 (*.f64 y.im (log.f64 x.re))))))) (pow.f64 x.im 4)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) x.re)) (fma.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (/.f64 (pow.f64 x.re 4) y.im) y.im)) (.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (pow.f64 x.im 4) (sin.f64 (*.f64 y.im (log.f64 x.re)))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) y.im) (cos.f64 (.f64 y.im (log.f64 x.re)))) (fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 x.re 4)) (.f64 y.im y.im)) (.f64 (/.f64 -1/4 (pow.f64 x.re 4)) (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))))) (pow.f64 x.im 4) (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 (.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 (.f64 (.f64 y.im (.f64 x.im x.im)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 x.re 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 (.f64 1/6 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 y.im (/.f64 (pow.f64 x.re 4) (cos.f64 (.f64 y.im (log.f64 x.re))))))) (pow.f64 x.im 4))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) x.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) (fma.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (/.f64 (pow.f64 x.re 4) y.im) y.im)) (.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (pow.f64 x.im 4) (.f64 (fma.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (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)))) (.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 1/2 (.f64 (.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) y.im) (cos.f64 (.f64 y.im (log.f64 x.re)))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 x.re 4)) (.f64 y.im y.im)) (.f64 (/.f64 -1/4 (pow.f64 x.re 4)) (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))))) (pow.f64 x.im 4) (.f64 (fma.f64 (cos.f64 (.f64 y.im (log.f64 x.re))) (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6)) (/.f64 (.f64 y.im 1/6) (pow.f64 x.re 6))) (.f64 1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 6)) (sin.f64 (*.f64 y.im (log.f64 x.re)))))) (pow.f64 x.im 6))))
(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)))))
(sin.f64 (*.f64 (neg.f64 (log.f64 x.im)) (neg.f64 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 (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 (.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 (.f64 y.im (neg.f64 (log.f64 x.im)))) x.im)) (sin.f64 (*.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.im))))
(fma.f64 1/2 (.f64 (.f64 (.f64 (/.f64 x.re (.f64 x.im x.im)) x.re) y.im) (cos.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (sin.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 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 (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 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (.f64 y.im (pow.f64 x.re 4)))) (pow.f64 x.im 4)))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.re x.re)) x.im) (/.f64 (cos.f64 (.f64 y.im (neg.f64 (log.f64 x.im)))) x.im)) (.f64 -1/4 (.f64 (/.f64 (cos.f64 (.f64 y.im (neg.f64 (log.f64 x.im)))) (pow.f64 x.im 4)) (.f64 y.im (pow.f64 x.re 4))))) (fma.f64 -1/8 (/.f64 (sin.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.im))) (/.f64 (pow.f64 x.im 4) (.f64 y.im (.f64 y.im (pow.f64 x.re 4))))) (sin.f64 (.f64 (neg.f64 (log.f64 x.im)) (neg.f64 y.im)))))
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(fma.f64 (neg.f64 (log.f64 (/.f64 -1 x.re))) y.im (/.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 y.im (*.f64 x.im x.im)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)) (.f64 1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.im x.re)))) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)) y.im) (/.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im))))) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6))))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) y.im))))))
(fma.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.im x.re)) (-.f64 (.f64 1/720 (/.f64 y.im (/.f64 (pow.f64 x.re 6) (.f64 (pow.f64 x.im 6) 120)))) (.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)) y.im) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) y.im) (-.f64 (.f64 (/.f64 1/720 (pow.f64 x.re 6)) (.f64 (pow.f64 x.im 6) (.f64 120 y.im))) (.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 1 (sin.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 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (sin.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 (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))))) 2))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.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))))
(pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(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)
(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)
(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)))) 3) 1/3)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(fabs.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(log.f64 (exp.f64 (sin.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))))
(log.f64 (+.f64 1 (expm1.f64 (sin.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))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (sin.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))))
(exp.f64 (log.f64 (sin.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))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))
(fabs.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 0))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 0))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.im)))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	31.0b	(sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))

Compiler

Compiled 135 to 25 computations (81.5% saved)

series84.0ms (0.3%)

Counts

2 → 64

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	x.im	@	-inf	(sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
11.0ms	x.re	@	inf	(sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
9.0ms	x.re	@	0	(sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
9.0ms	x.im	@	0	(sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
9.0ms	x.im	@	inf	(sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`unswap-sqr`
892×	`swap-sqr`
586×	`sqr-pow`
560×	`pow-sqr`
440×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	70
1	336	70
2	3673	70

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs

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

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

Outputs

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

simplify280.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1040×	`distribute-rgt-in`
1040×	`distribute-lft-in`
978×	`+-commutative`
918×	`*-commutative`
756×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1062	42780
1	3854	42780

Stop Event

1×	node limit

Counts

124 → 244

Calls

Call 1

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

Outputs
(sin.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 2) (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
(sin.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 y.im (pow.f64 x.im 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3) (/.f64 y.im (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 2) (cos.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 2) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3)))) (sin.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 2) (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3)))
(fma.f64 (+.f64 (.f64 1/6 (/.f64 y.im (.f64 x.im x.im))) (.f64 1/3 (.f64 (/.f64 y.im (.f64 x.im x.im)) (cbrt.f64 (/.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))) (.f64 (.f64 x.re x.re) (cos.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))) 2) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/4 (/.f64 y.im (pow.f64 x.im 4))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 4)) 1/3) (/.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.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 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))) 4)) 1/3) (/.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) (pow.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))) 2))) 1/3) (/.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/4 (/.f64 y.im (pow.f64 x.im 4))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))) 4)) 1/3) (/.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))))))) (cos.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 2) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))) (.f64 -1/2 (.f64 (pow.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 y.im (pow.f64 x.im 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3) (/.f64 y.im (pow.f64 x.im 2))))) 2) (sin.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 2) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3)))))) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 y.im (pow.f64 x.im 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3) (/.f64 y.im (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 2) (cos.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 2) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3)))) (sin.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) 2) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))))
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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)
(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)))) 3) 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))))
(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))))
(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))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(cbrt.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 (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 (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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (cbrt.f64 (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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (cbrt.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6) (cbrt.f64 (cbrt.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 (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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6)) (cbrt.f64 (cbrt.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(cbrt.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 (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 (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 (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 (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 (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 (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 (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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/2))
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cbrt.f64 (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 (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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (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 (pow.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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (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 (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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (cbrt.f64 (pow.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 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 1/3)
(cbrt.f64 (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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 1/6) 2)
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2/3)
(.f64 (pow.f64 (sqrt.f64 (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 (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 (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 (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 (sqrt.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 (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 (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 (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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
(cbrt.f64 (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 (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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.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 (cbrt.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 (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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
(cbrt.f64 (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 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	2.1b	(-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))
✓	24.4b	(.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
✓	31.0b	(sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))

Compiler

Compiled 227 to 55 computations (75.8% saved)

series98.0ms (0.4%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
24.0ms	x.re	@	-inf	(sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
11.0ms	x.im	@	-inf	(sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
10.0ms	x.re	@	inf	(sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
9.0ms	x.im	@	inf	(sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
7.0ms	x.re	@	0	(sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))

rewrite142.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`associate-/r*`
468×	`associate-+l+`
466×	`add-sqr-sqrt`
456×	`*-un-lft-identity`
450×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	225
1	453	113
2	6012	113

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

Inputs

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

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

(-.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2)) (*.f64 (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (neg.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (neg.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))) (*.f64 (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))) (*.f64 (neg.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))) (*.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 1 (*.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))) (-.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (/.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2)) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))) (/.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))) 2) (/.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 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simplify509.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-+l+`
1394×	`associate-+r+`
900×	`*-commutative`
630×	`+-commutative`
486×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1581	94553
1	5392	94473

Stop Event

1×	node limit

Counts

365 → 489

Calls

Call 1

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

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

eval2.2s (8.7%)

Compiler: Compiled 151777 to 61319 computations (59.6% saved)

prune952.0ms (3.8%)

Pruning

62 alts after pruning (60 fresh and 2 done)

	Pruned	Kept	Total
New	1451	29	1480
Fresh	30	31	61
Picked	1	0	1
Done	3	2	5
Total	1485	62	1547

Error

3.0b

Counts

1547 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2))) 2))
	36.5b	(.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 (sqrt.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3))) 2))
▶	51.5b	(.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 (sqrt.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 2))
	41.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	21.2b	(.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 (.f64 y.re (atan2.f64 x.im x.re))))
	20.0b	(.f64 (/.f64 1 (exp.f64 (.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))))
	8.8b	(.f64 (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)))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	44.4b	(.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))))
	47.3b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.5b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.2b	(.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))))
	23.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (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)))))))
	29.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	38.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	51.0b	(.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 (cbrt.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 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 1/3)))
	36.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (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 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	17.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	18.0b	(.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 y.im (log.f64 (hypot.f64 x.im x.re))))
▶	4.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2)) (cbrt.f64 y.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))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re)))))
	38.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re)))))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (cbrt.f64 (.f64 y.re y.re))) (cbrt.f64 y.re)))))
	15.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (cbrt.f64 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 3)))) (cbrt.f64 y.re)))))
	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))) (sin.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
	17.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	50.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 (/.f64 1/2 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.im) (*.f64 y.im (neg.f64 (log.f64 x.im))))))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	49.7b	(.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 (.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	44.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	42.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.im))))
	24.7b	(.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 (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	28.1b	(.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 (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	38.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	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 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
	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))) (fabs.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
▶	21.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))
	29.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (exp.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	40.6b	(.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))))
	42.7b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	22.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.7b	(.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 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
✓	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))))
	59.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))) 1/3) 3)))
	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))) 1/3) 3)))
	43.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))
	54.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) 3)))
	48.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 y.im y.im)) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (-.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
	57.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.re) 2)) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (-.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
	51.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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.re))))))
	39.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))))
	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 4)) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2) (neg.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	49.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (neg.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))))
	43.8b	(.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))))
	44.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	42.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.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))))
▶	45.1b	(.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)))
	40.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	45.6b	(.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)))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	20.0b	(.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 3906 to 2331 computations (40.3% saved)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3)
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	31.2b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2)) (cbrt.f64 y.re))))

Compiler

Compiled 174 to 56 computations (67.8% saved)

series28.0ms (0.1%)

Counts

3 → 84

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	y.re	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3)
7.0ms	y.re	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3)
6.0ms	y.re	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3)
3.0ms	y.re	@	inf	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2)) (cbrt.f64 y.re))))
0.0ms	x.re	@	inf	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2)) (cbrt.f64 y.re))))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`swap-sqr`
710×	`sqr-pow`
524×	`distribute-rgt-in`
462×	`distribute-lft-in`
394×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	421	63
2	4595	63

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs

(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2)) (cbrt.f64 y.re))))

(*.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2))

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

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

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

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1918×	`associate-/r*`
1138×	`associate-+r+`
872×	`associate-+l+`
834×	`associate-r`
802×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	451	9514
1	1197	8842
2	4618	8842

Stop Event

1×	node limit

Counts

150 → 196

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))))
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(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (pow.f64 1 1/3) (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(.f64 (pow.f64 (.f64 1 (pow.f64 y.re 2)) 1/3) (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 y.re 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 y.re 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 y.re 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 y.re 1/3))
(pow.f64 y.re 1/3)
(pow.f64 y.re 1/3)
(pow.f64 y.re 1/3)
(pow.f64 y.re 1/3)
(.f64 (pow.f64 (.f64 -1 y.re) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 y.re) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 y.re) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 y.re) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -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 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (.f64 1 (.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 1 (.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 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 1) (.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 1))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)
(.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (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)))) 3/2) (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)))) 3/2))
(.f64 (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) 1/6) (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) 1/6))
(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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)))) 1)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) 1)
(pow.f64 (*.f64 (cbrt.f64 y.re) (sqrt.f64 (atan2.f64 x.im x.re))) 2)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) 2))
(log.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.re y.re)))
(cbrt.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2))))
(exp.f64 (+.f64 (log.f64 (atan2.f64 x.im x.re)) (*.f64 (log.f64 y.re) 2/3)))
(exp.f64 (.f64 (+.f64 (log.f64 (atan2.f64 x.im x.re)) (.f64 (log.f64 y.re) 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y.re))) 1)
(*.f64 (cbrt.f64 y.re) 1)
(*.f64 (cbrt.f64 (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2))
(*.f64 1 (cbrt.f64 y.re))
(*.f64 (pow.f64 y.re 1/6) (pow.f64 y.re 1/6))
(.f64 (pow.f64 (cbrt.f64 y.re) 1/6) (.f64 (pow.f64 (cbrt.f64 y.re) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2) (cbrt.f64 (cbrt.f64 y.re)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y.re (cbrt.f64 y.re)))) (cbrt.f64 (cbrt.f64 y.re)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2) (pow.f64 (cbrt.f64 y.re) 1/6)) (pow.f64 (cbrt.f64 y.re) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 y.re))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2)) 3) (cbrt.f64 (cbrt.f64 y.re)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 y.re))
(.f64 (.f64 (pow.f64 (sqrt.f64 y.re) 1/6) (pow.f64 (sqrt.f64 y.re) 1/6)) (*.f64 (pow.f64 (sqrt.f64 y.re) 1/6) (pow.f64 (sqrt.f64 y.re) 1/6)))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (cbrt.f64 y.re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.re) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 y.re) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 2) 3/4))
(sqrt.f64 (pow.f64 (cbrt.f64 y.re) 2))
(fabs.f64 (cbrt.f64 y.re))
(log.f64 (exp.f64 (cbrt.f64 y.re)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y.re))))
(cbrt.f64 y.re)
(expm1.f64 (log1p.f64 (cbrt.f64 y.re)))
(exp.f64 (log.f64 (cbrt.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y.re)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 y.re)))

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 y.re (log.f64 x.re))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 65 to 12 computations (81.5% saved)

series9.0ms (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))
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.re	@	-inf	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	inf	(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite165.0ms (0.7%)

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

simplify173.0ms (0.7%)

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))
	0.2b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	12.1b	(sin.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))

Compiler

Compiled 101 to 33 computations (67.3% saved)

series60.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	x.im	@	0	(sin.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))
15.0ms	y.im	@	0	(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))
7.0ms	x.im	@	inf	(sin.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))
7.0ms	x.im	@	-inf	(sin.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))
2.0ms	y.im	@	0	(sin.f64 (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))

rewrite364.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`add-sqr-sqrt`
1846×	`*-un-lft-identity`
1700×	`add-cube-cbrt`
1676×	`add-cbrt-cube`
214×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	220	38
2	2633	38

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1084×	`+-commutative`
828×	`*-commutative`
618×	`associate--r+`
568×	`unswap-sqr`
554×	`associate--l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	2144
1	252	1952
2	1014	1952
3	3687	1952
4	7661	1952

Stop Event

1×	node limit

Counts

82 → 59

Calls

Call 1

Inputs
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5))) (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 7) (pow.f64 y.im 7))) (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))) 1)
(*.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 1)
(*.f64 1 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(*.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(*.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 2) (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 3)
(pow.f64 (pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 3) 1/3)
(neg.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(sqrt.f64 (pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 2))
(log.f64 (exp.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))))
(cbrt.f64 (pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(exp.f64 (log.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(-.f64 0 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 1)
(pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 3) 1/3)
(neg.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 2))
(log.f64 (pow.f64 (/.f64 -1 x.im) y.im))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 x.im) y.im) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 -1 x.im) y.im) 1))

Outputs
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/6 (*.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))
(-.f64 (.f64 1/6 (pow.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im))) 3)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5))) (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3)))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5)) (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3)))))
(-.f64 (fma.f64 1/6 (pow.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im))) 3) (.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5)))) (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(-.f64 (.f64 1/6 (pow.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im))) 3)) (fma.f64 y.im (log.f64 (/.f64 -1 x.im)) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (.f64 (pow.f64 y.im 5) 1/120))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 7) (pow.f64 y.im 7))) (.f64 1/6 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5)) (fma.f64 1/5040 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 7) (pow.f64 y.im 7)) (.f64 1/6 (*.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))))
(-.f64 (fma.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5)) (fma.f64 1/6 (pow.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im))) 3) (.f64 1/5040 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 7) (pow.f64 y.im 7))))) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(-.f64 (fma.f64 -1/120 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (pow.f64 y.im 5)) (fma.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 7) (.f64 1/5040 (pow.f64 y.im 7)) (.f64 1/6 (pow.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im))) 3)))) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(-.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 7) (.f64 1/5040 (pow.f64 y.im 7)) (.f64 1/6 (pow.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im))) 3))) (fma.f64 y.im (log.f64 (/.f64 -1 x.im)) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 5) (*.f64 (pow.f64 y.im 5) 1/120))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))) 1)
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 1)
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 1 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 2))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 2) (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 1)
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(pow.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 2)
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 3)
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(pow.f64 (pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 3) 1/3)
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(neg.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(sin.f64 (neg.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))))))
(neg.f64 (sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(sqrt.f64 (pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 2))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(log.f64 (exp.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(cbrt.f64 (pow.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 3))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(expm1.f64 (log1p.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(exp.f64 (log.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 1))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(log1p.f64 (expm1.f64 (sin.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))))
(sin.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(-.f64 0 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))) 1)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 1)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 2)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 3)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 3) 1/3)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(neg.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.im (-.f64 (log.f64 x.im) (log.f64 -1)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 2))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(log.f64 (pow.f64 (/.f64 -1 x.im) y.im))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 -1 x.im) y.im) 1)))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im)) 3))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 -1 x.im) y.im))) 1))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 -1 x.im) y.im) 1))
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.6b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	20.7b	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))

Compiler

Compiled 106 to 23 computations (78.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y.re	@	0	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
0.0ms	y.re	@	inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
0.0ms	y.re	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
0.0ms	x.im	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
0.0ms	x.re	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1990×	`add-sqr-sqrt`
1960×	`*-un-lft-identity`
1828×	`add-cube-cbrt`
1804×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	240	17
2	2549	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1820×	`fma-def`
922×	`distribute-rgt-in`
922×	`distribute-lft-in`
860×	`associate-r`
718×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1179
1	185	1179
2	606	1179
3	2515	1179
4	7101	1179

Stop Event

1×	node limit

Counts

59 → 37

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

localize53.0ms (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))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	16.3b	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 127 to 22 computations (82.7% saved)

series181.0ms (0.7%)

Counts

1 → 44

Calls

12 calls:

Time	Variable		Point	Expression
156.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
20.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`unswap-sqr`
872×	`swap-sqr`
688×	`distribute-rgt-in`
652×	`distribute-lft-in`
468×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	268	29
2	3457	29

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

828×	`distribute-rgt-in`
826×	`distribute-lft-in`
822×	`fma-def`
808×	`associate-/l*`
746×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	4411
1	448	4383
2	1521	4301
3	3779	4301

Stop Event

1×	node limit

Counts

81 → 82

Calls

Call 1

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

eval661.0ms (2.6%)

Compiler: Compiled 48469 to 15354 computations (68.3% saved)

prune566.0ms (2.3%)

Pruning

70 alts after pruning (66 fresh and 4 done)

	Pruned	Kept	Total
New	1080	16	1096
Fresh	5	50	55
Picked	1	0	1
Done	2	4	6
Total	1088	70	1158

Error

3.0b

Counts

1158 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) 2))
	43.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2))) 2))
	36.5b	(.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 (sqrt.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3))) 2))
	41.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	21.2b	(.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 (.f64 y.re (atan2.f64 x.im x.re))))
	20.0b	(.f64 (/.f64 1 (exp.f64 (.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))))
	8.8b	(.f64 (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)))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	44.4b	(.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))))
	44.2b	(.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))))
	23.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (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)))))))
	29.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	38.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	51.0b	(.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 (cbrt.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 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 1/3)))
	36.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (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 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	17.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	17.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	44.7b	(.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 y.im (neg.f64 (log.f64 (/.f64 -1 x.im)))))
	18.0b	(.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 y.im (log.f64 (hypot.f64 x.im x.re))))
✓	4.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2)) (cbrt.f64 y.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))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re)))))
	38.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re)))))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (cbrt.f64 (.f64 y.re y.re))) (cbrt.f64 y.re)))))
	15.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (cbrt.f64 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 3)))) (cbrt.f64 y.re)))))
	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))) (sin.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
	17.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	50.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 (/.f64 1/2 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.im) (*.f64 y.im (neg.f64 (log.f64 x.im))))))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	49.7b	(.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 (.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	46.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
	42.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.im))))
	24.7b	(.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 (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	28.1b	(.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 (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	38.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	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 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
	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))) (fabs.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.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))) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)))
✓	21.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (exp.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	40.6b	(.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))))
	42.7b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	22.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.7b	(.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 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
✓	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))))
	59.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))) 1/3) 3)))
	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))) 1/3) 3)))
	43.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))
	54.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) 3)))
	48.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 y.im y.im)) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (-.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
	57.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.re) 2)) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (-.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
	51.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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.re))))))
	39.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))))
	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 4)) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2) (neg.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	49.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (neg.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))))
	43.8b	(.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))))
	44.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	42.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.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))))
	53.0b	(.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))
	55.1b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	40.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	45.6b	(.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))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))
	45.1b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (fabs.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 y.re (atan2.f64 x.im x.re)))
	38.6b	(.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
	53.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 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))
	31.5b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
	20.0b	(.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))))
	49.9b	(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))
	60.1b	(.f64 (exp.f64 (fabs.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 2142 to 1289 computations (39.8% saved)

regimes556.0ms (2.2%)

Counts

131 → 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 (.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 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (fabs.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (fabs.f64 (.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 (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 (log.f64 x.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 (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 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 y.im y.im)) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (-.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) (exp.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (exp.f64 (log.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))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 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 (-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 1)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (.f64 (atan2.f64 x.im x.re) (cbrt.f64 (.f64 y.re y.re))) (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))) (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)))))
(.f64 (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)))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
(.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 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 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 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
(.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 (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))
(.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))) 3) (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 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))
(.f64 (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))))))
(.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 (*.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 (cbrt.f64 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 3)))) (cbrt.f64 y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) 2))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3))) 2))
(.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 (sqrt.f64 (sin.f64 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2))) 2))
(.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 (sqrt.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)))) 3)) 2))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.re)) 3) 2)) (cbrt.f64 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 (/.f64 (-.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 2)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 1/6 (/.f64 (pow.f64 x.re 6) (/.f64 (pow.f64 x.im 6) y.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (.f64 -1/4 (/.f64 (*.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)))))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (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 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (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 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 1/3)))
(.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 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.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 1/720 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (.f64 (pow.f64 x.re 6) 120)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.im))) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im) (/.f64 (.f64 (pow.f64 x.re 4) -1/4) (/.f64 (pow.f64 x.im 4) y.im))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 (pow.f64 (cbrt.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 (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 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (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) 2) 2) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 4)) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2) (neg.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2))) (/.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.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)))))) 3)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (sqrt.f64 (.f64 y.im (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 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (exp.f64 2) (log1p.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 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (.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))) 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)))))))

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:

111.0ms	x.im
102.0ms	y.im
93.0ms	x.re
65.0ms	y.re
26.0ms	(.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
3.8b	1	`x.re`
3.8b	1	`x.im`
3.8b	1	`y.re`
3.8b	1	`y.im`
3.8b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 3951 to 849 computations (78.5% saved)

regimes738.0ms (3%)

Counts

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

Outputs

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

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

Calls

5 calls:

279.0ms	x.re
177.0ms	y.im
142.0ms	x.im
90.0ms	y.re
24.0ms	(.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
9.4b	7	`x.re`
7.1b	3	`x.im`
4.0b	3	`y.re`
9.2b	3	`y.im`
10.0b	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 1697 to 420 computations (75.3% saved)

bsearch74.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	2.196689490688625e-15	3.547232477857152e-14
22.0ms	-1.0007046357840634e-6	-7.295956037183395e-7

Results

59.0ms	165×	body	256	valid
7.0ms	5×	body	1024	valid
2.0ms	6×	body	512	valid
1.0ms	5×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 610 to 367 computations (39.8% saved)

regimes521.0ms (2.1%)

Counts

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

Outputs

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

Calls

4 calls:

162.0ms	x.re
121.0ms	y.re
111.0ms	x.im
108.0ms	y.im

Results

Error	Segments	Branch
9.4b	7	`x.re`
8.6b	3	`x.im`
4.0b	3	`y.re`
9.2b	3	`y.im`

Compiler

Compiled 1110 to 286 computations (74.2% saved)

bsearch51.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	2.196689490688625e-15	3.547232477857152e-14
18.0ms	-1.0007046357840634e-6	-7.295956037183395e-7

Results

38.0ms	165×	body	256	valid
3.0ms	5×	body	1024	valid
2.0ms	6×	body	512	valid
2.0ms	4×	body	512	infinite
0.0ms	2×	body	256	infinite

Compiler

Compiled 598 to 355 computations (40.6% saved)

regimes299.0ms (1.2%)

Counts

34 → 7

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

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

Calls

4 calls:

111.0ms	y.re
76.0ms	x.im
56.0ms	x.re
42.0ms	y.im

Results

Error	Segments	Branch
10.7b	4	`x.re`
11.9b	4	`x.im`
9.3b	7	`y.re`
10.4b	3	`y.im`

Compiler

Compiled 759 to 222 computations (70.8% saved)

bsearch246.0ms (1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
21.0ms	3.4864152279755923e-63	8.248305683045237e-63
51.0ms	1.8307136216611575e-116	2.005752582730008e-115
61.0ms	2.1245605756681237e-155	1.1834389925728953e-146
39.0ms	-1.3978716621957068e-222	-1.9946482506835606e-227
35.0ms	-4.887063422774607e-160	-1.5670584459337749e-162
39.0ms	-2.795823767849006e-93	-1.7305964516539648e-100

Results

176.0ms	682×	body	256	valid
33.0ms	23×	body	512	valid
21.0ms	31×	body	1024	valid
3.0ms	7×	body	512	infinite
2.0ms	8×	body	256	infinite
1.0ms	2×	body	1024	infinite

Compiler

Compiled 2274 to 1398 computations (38.5% saved)

regimes296.0ms (1.2%)

Counts

28 → 5

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

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

Calls

4 calls:

106.0ms	x.re
74.0ms	y.re
68.0ms	x.im
37.0ms	y.im

Results

Error	Segments	Branch
10.7b	4	`x.re`
12.1b	6	`x.im`
10.3b	5	`y.re`
10.4b	3	`y.im`

Compiler

Compiled 602 to 177 computations (70.6% saved)

bsearch141.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	3.4864152279755923e-63	8.248305683045237e-63
39.0ms	-1.3978716621957068e-222	-1.9946482506835606e-227
34.0ms	-4.887063422774607e-160	-1.5670584459337749e-162
46.0ms	-2.795823767849006e-93	-1.7305964516539648e-100

Results

103.0ms	455×	body	256	valid
18.0ms	27×	body	1024	valid
7.0ms	14×	body	512	valid
3.0ms	8×	body	512	infinite
1.0ms	2×	body	1024	infinite
1.0ms	4×	body	256	infinite

Compiler

Compiled 1479 to 918 computations (37.9% saved)

regimes157.0ms (0.6%)

Counts

25 → 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 (.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 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (fabs.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (fabs.f64 (.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 (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 (log.f64 x.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 (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 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (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))) (sin.f64 (.f64 y.im (log.f64 (hypot.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.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))) (sin.f64 (.f64 y.im (log.f64 x.im))))
(.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))))

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

Calls

4 calls:

45.0ms	x.im
43.0ms	y.im
37.0ms	y.re
23.0ms	x.re

Results

Error	Segments	Branch
12.3b	2	`x.re`
14.0b	4	`x.im`
15.0b	3	`y.re`
14.3b	3	`y.im`

Compiler

Compiled 539 to 164 computations (69.6% saved)

bsearch33.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	583506423.7930161	51268684988.350395

Results

26.0ms	107×	body	256	valid
2.0ms	5×	body	512	valid
2.0ms	3×	body	1024	infinite
1.0ms	4×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 391 to 242 computations (38.1% saved)

regimes147.0ms (0.6%)

Counts

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

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

Calls

4 calls:

43.0ms	y.im
40.0ms	x.im
34.0ms	y.re
21.0ms	x.re

Results

Error	Segments	Branch
12.8b	2	`x.re`
14.3b	4	`x.im`
15.6b	3	`y.re`
14.8b	3	`y.im`

Compiler

Compiled 519 to 163 computations (68.6% saved)

bsearch32.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	583506423.7930161	51268684988.350395

Results

24.0ms	109×	body	256	valid
3.0ms	4×	body	1024	infinite
2.0ms	3×	body	1024	valid
1.0ms	4×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 384 to 235 computations (38.8% saved)

regimes49.0ms (0.2%)

Counts

20 → 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 (.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 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (fabs.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (fabs.f64 (.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 (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 (log.f64 x.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 (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 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re)))))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
17.0b	1	`x.re`
17.0b	1	`x.im`
17.0b	1	`y.re`
17.0b	1	`y.im`

Compiler

Compiled 442 to 150 computations (66.1% saved)

regimes85.0ms (0.3%)

Counts

9 → 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 (.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 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (fabs.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (fabs.f64 (.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 (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 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (*.f64 (atan2.f64 x.im x.re) 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))) (*.f64 y.re (atan2.f64 x.im x.re)))

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

Calls

4 calls:

31.0ms	x.im
24.0ms	y.im
16.0ms	y.re
11.0ms	x.re

Results

Error	Segments	Branch
25.4b	2	`x.re`
24.3b	5	`x.im`
24.0b	3	`y.re`
28.3b	5	`y.im`

Compiler

Compiled 172 to 57 computations (66.9% saved)

bsearch133.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
87.0ms	2.2265086639126853e+58	1.255501422168521e+59
45.0ms	-1.1298893409461468e+96	-3.4916169928584035e+90

Results

55.0ms	240×	body	256	valid
29.0ms	65×	body	512	infinite
28.0ms	37×	body	1024	infinite
14.0ms	62×	body	256	infinite
4.0ms	3×	body	2048	infinite

Compiler

Compiled 648 to 385 computations (40.6% saved)

regimes29.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

(*.f64 (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))) (*.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:

9.0ms	y.re
8.0ms	x.im
6.0ms	x.re
3.0ms	y.im

Results

Error	Segments	Branch
25.4b	2	`x.re`
30.3b	3	`x.im`
30.3b	3	`y.re`
31.5b	1	`y.im`

Compiler

Compiled 65 to 34 computations (47.7% saved)

bsearch40.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	4.1562624222839123e-209	2.492197998925841e-206

Results

27.0ms	128×	body	256	valid
9.0ms	12×	body	1024	infinite
2.0ms	6×	body	512	infinite
1.0ms	3×	body	256	infinite

Compiler

Compiled 368 to 217 computations (41% saved)

regimes22.0ms (0.1%)

Accuracy

Total -27.7b remaining (-97.9%)

Threshold costs -27.7b (-97.9%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y.re
6.0ms	x.re
3.0ms	y.im
3.0ms	x.im

Results

Error	Segments	Branch
28.3b	2	`x.re`
31.5b	1	`x.im`
30.3b	3	`y.re`
31.5b	1	`y.im`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch49.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	2.998847116356675e-87	6.99817548452529e-64

Results

37.0ms	172×	body	256	valid
7.0ms	11×	body	1024	infinite
2.0ms	4×	body	512	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 422 to 267 computations (36.7% saved)

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative`
24×	`+-commutative`
12×	`sub-neg`
10×	`cancel-sign-sub-inv`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1864
1	164	1864
2	179	1864
3	184	1864
4	186	1864

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re -6989102394647075/9444732965739290427392) (.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 (.f64 y.re (atan2.f64 x.im x.re))) 3))) (if (<=.f64 y.re 3486039150627631/316912650057057350374175801344) (.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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -6989102394647075/9444732965739290427392) (.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 7352373481323731/1267650600228229401496703205376) (.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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (.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 -6483618076376551/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re -2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (.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 y.re 1180964871067589/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 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))))) (if (<=.f64 y.re 3983247869763677/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.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.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))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.re -2770453560683987/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.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 -8307135660357457/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re -2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (.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 y.re 6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.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.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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 x.re 10000000000) (.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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(if (<=.f64 x.re 21000000000) (.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 (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (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))) (.f64 y.re (atan2.f64 x.im x.re)))
(if (<=.f64 y.re -190000000000000002452081963311835582746606481306473076576937786691833992476160210683195031552) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 85999999999999998234180078577917906977016790574363200978944) (.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 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.re 8530781366465783/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (.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 (.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 5039271723608001/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re -6989102394647075/9444732965739290427392) (.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 (.f64 y.re (atan2.f64 x.im x.re))) 3))) (if (<=.f64 y.re 3486039150627631/316912650057057350374175801344) (.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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -6989102394647075/9444732965739290427392) (.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 7352373481323731/1267650600228229401496703205376) (.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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (or (<=.f64 y.re -6989102394647075/9444732965739290427392) (not (<=.f64 y.re 7352373481323731/1267650600228229401496703205376))) (.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)))))
(if (<=.f64 y.re -1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (.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 -6483618076376551/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re -2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (.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 y.re 1180964871067589/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 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))))) (if (<=.f64 y.re 3983247869763677/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.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.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))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.re -1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (.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 -6483618076376551/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re -2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (.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 y.re 1180964871067589/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (if (<=.f64 y.re 3983247869763677/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.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.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))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.re -2770453560683987/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.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 -8307135660357457/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re -2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (.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 y.re 6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.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.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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.re -2770453560683987/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.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 -8307135660357457/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.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.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re -2213989167167139/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (.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 y.re 6669624340069413/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.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.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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 x.re 10000000000) (.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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(if (<=.f64 x.re 21000000000) (.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 (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (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))) (.f64 y.re (atan2.f64 x.im x.re)))
(if (<=.f64 y.re -190000000000000002452081963311835582746606481306473076576937786691833992476160210683195031552) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 85999999999999998234180078577917906977016790574363200978944) (.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 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (or (<=.f64 y.re -190000000000000002452081963311835582746606481306473076576937786691833992476160210683195031552) (not (<=.f64 y.re 85999999999999998234180078577917906977016790574363200978944))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (-.f64 (log.f64 (pow.f64 x.re y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))) (.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 8530781366465783/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (.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 (.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 8530781366465783/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) (.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 5039271723608001/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.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 5039271723608001/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.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 679 to 289 computations (57.4% saved)

soundness145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 156 to 35 computations (77.6% saved)

end195.0ms (0.8%)

Compiler: Compiled 635 to 118 computations (81.4% saved)