Details

analyze443.0ms (1.5%)

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 (19.6%)

Results

2.4s	2678×	body	1024	infinite
2.1s	7965×	body	256	valid
558.0ms	912×	body	512	infinite
259.0ms	166×	body	1024	valid
212.0ms	202×	body	2048	infinite
204.0ms	877×	body	256	infinite
66.0ms	113×	body	512	valid
12.0ms	12×	body	2048	valid

Bogosity

preprocess72.0ms (0.2%)

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 (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

2.3b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	2.3b	(.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	30.9b	(.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) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

9.1b

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

▶

2.3b

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

▶

30.9b

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

Compiler

Compiled 100 to 49 computations (51% saved)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	33.2b	(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)

series22.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

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

rewrite122.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	378	68
2	5018	68

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify214.0ms (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)
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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.re (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.im (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 (atan2.f64 x.im x.re) y.re))) 1)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 1))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1))
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	33.2b	(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)

series55.0ms (0.2%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
37.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
10.0ms	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))))
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))))

rewrite115.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

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

Outputs

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

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

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

simplify176.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

135 → 279

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	33.2b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series86.0ms (0.3%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
13.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
13.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
13.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
12.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	176	28
2	2067	28

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1624×	`fma-def`
1348×	`associate-r`
1058×	`associate-l`
918×	`distribute-lft-in`
892×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1340
1	212	1336
2	777	1328
3	3631	1316

Stop Event

1×	node limit

Counts

72 → 57

Calls

Call 1

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

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

eval788.0ms (2.6%)

Compiler: Compiled 49965 to 14689 computations (70.6% saved)

prune398.0ms (1.3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	846	31	877
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	849	31	880

Error

1.8b

Counts

880 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	9.5b	(/.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) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.1b	(/.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 (exp.f64 1) (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.7b	(/.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 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	16.7b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	17.4b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	20.3b	(/.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	39.6b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	2.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (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)))))
	34.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))
	2.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	7.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.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)))))))
▶	23.2b	(.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 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 1))
	34.7b	(.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 (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)))
	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 (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))))))))
	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) 2))))
	25.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))))
	37.0b	(.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 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 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 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	10.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	2.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	23.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))))
	13.5b	(.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 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))
	12.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	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))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	17.2b	(.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 (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))))
	17.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2))))
	31.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3))))
	23.9b	(.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 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 2570 to 1222 computations (52.5% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(*.f64 y.im (atan2.f64 x.im x.re))
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	6.6b	(cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
	33.2b	(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 132 to 28 computations (78.8% saved)

series42.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	x.im	@	0	(cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	x.im	@	inf	(cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	x.im	@	-inf	(cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	x.re	@	-inf	(cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
1.0ms	x.re	@	inf	(cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`add-sqr-sqrt`
1576×	`*-un-lft-identity`
1456×	`add-cube-cbrt`
1434×	`add-cbrt-cube`
1416×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	172	30
2	1999	30

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1536×	`distribute-lft-in`
1490×	`distribute-rgt-in`
1366×	`fma-def`
526×	`associate-/l*`
418×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1102
1	159	1102
2	614	1102
3	1721	1102
4	6925	1102

Stop Event

1×	node limit

Counts

70 → 38

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	19.3b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series10.0ms (0%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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.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)))

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(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)))))))))

simplify61.0ms (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)))

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.6b	(.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)
✓	6.2b	(/.f64 y.re (/.f64 (*.f64 x.re x.re) x.im))
✓	7.0b	(/.f64 (*.f64 x.re x.re) x.im)
	33.2b	(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 199 to 39 computations (80.4% saved)

series9.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Expression
1.0ms	y.re	@	(.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)
1.0ms	y.re	@	(/.f64 y.re (/.f64 (*.f64 x.re x.re) x.im))
1.0ms	x.re	@	(.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)
1.0ms	x.im	@	(/.f64 y.re (/.f64 (*.f64 x.re x.re) x.im))
0.0ms	x.im	@	(.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)

rewrite160.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`*-commutative`
956×	`associate-/r/`
846×	`unswap-sqr`
710×	`swap-sqr`
458×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	195	57
2	2879	51

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

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

Outputs

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

simplify150.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1126×	`distribute-rgt-in`
1106×	`distribute-lft-in`
814×	`associate-*r/`
756×	`associate-/l*`
750×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	506	7658
1	1503	6980
2	6088	6980

Stop Event

1×	node limit

Counts

324 → 280

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	33.2b	(sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 115 to 17 computations (85.2% saved)

series9.0ms (0%)

Counts

1 → 32

Calls

12 calls:

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

rewrite113.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify126.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

65 → 155

Calls

Call 1

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

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	5.1b	(-.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)
	33.2b	(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 156 to 22 computations (85.9% saved)

series201.0ms (0.7%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
90.0ms	y.im	@	inf	(-.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)
28.0ms	y.im	@	-inf	(-.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)
22.0ms	x.re	@	0	(-.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)
16.0ms	y.re	@	-inf	(-.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)
14.0ms	y.re	@	inf	(-.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)

rewrite123.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`swap-sqr`
624×	`distribute-rgt-in`
586×	`distribute-lft-in`
496×	`associate-*r/`
430×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	35
1	353	35
2	3924	35

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

Inputs
(-.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)

Outputs

((#(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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (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)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 (fma.f64 (log.f64 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simplify196.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1374×	`associate-l`
1072×	`associate-/l*`
934×	`distribute-lft-in`
870×	`associate-/r*`
680×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	31119
1	2588	31035

Stop Event

1×	node limit

Counts

137 → 245

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

eval1.0s (3.5%)

Compiler: Compiled 101923 to 33670 computations (67% saved)

prune685.0ms (2.3%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	1447	27	1474
Fresh	14	12	26
Picked	1	0	1
Done	4	0	4
Total	1466	39	1505

Error

1.8b

Counts

1505 → 39

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.5b	(/.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) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.7b	(/.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 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	16.7b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	17.4b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	27.7b	(/.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	42.8b	(/.f64 (fabs.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	45.2b	(.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))))
	44.1b	(.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))))
	39.8b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	41.0b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.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)))))))
	55.6b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	45.8b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	40.1b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	39.6b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))))))
	43.5b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (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)))
	4.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (.f64 y.im (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)))))
	10.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	23.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) 2) (cbrt.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1)) -1))
	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))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	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))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
	23.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2) -1) (sqrt.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (sqrt.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))))
	23.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2) -1))) (/.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2) -1)))))
	23.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2) (+.f64 (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 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1) 3))))))
▶	2.3b	(.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 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)))))))
	23.5b	(.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 (exp.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1))
	23.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) -2))
	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 (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)))
	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) 2))))
	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	37.0b	(.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 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
	10.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	20.1b	(.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 (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
▶	39.4b	(.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)))))
	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))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	17.2b	(.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 (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))))
	30.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	23.9b	(.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 y.re (atan2.f64 x.im x.re))))
	42.7b	(.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))))
▶	43.8b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 3332 to 1700 computations (49% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 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))))))
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	33.2b	(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 143 to 26 computations (81.8% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	0	(/.f64 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))))))
0.0ms	x.re	@	inf	(/.f64 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))))))
0.0ms	x.im	@	-inf	(/.f64 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))))))
0.0ms	x.im	@	inf	(/.f64 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))))))
0.0ms	x.re	@	-inf	(/.f64 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))))))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`unswap-sqr`
862×	`swap-sqr`
516×	`associate-*r/`
430×	`distribute-rgt-in`
388×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	335	35
2	3677	35

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(/.f64 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))))))

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 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 (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))))) (neg.f64 (neg.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 (cbrt.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 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) (neg.f64 (neg.f64 (cbrt.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 -1 (neg.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 (neg.f64 (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 (neg.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (neg.f64 (sqrt.f64 (neg.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 (neg.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 (neg.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (neg.f64 (cbrt.f64 (neg.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 (neg.f64 (sqrt.f64 (sin.f64 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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))))))))))

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-*r/`
1180×	`associate-+r+`
1064×	`associate-*l/`
890×	`associate-+l+`
800×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	9162
1	1111	8764
2	4432	8762

Stop Event

1×	node limit

Counts

98 → 177

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.re (log.f64 x.re))
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	19.3b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series45.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y.re	@	0	(*.f64 y.re (log.f64 x.re))
13.0ms	x.re	@	-inf	(*.f64 y.re (log.f64 x.re))
9.0ms	x.re	@	0	(*.f64 y.re (log.f64 x.re))
5.0ms	x.re	@	inf	(*.f64 y.re (log.f64 x.re))
0.0ms	y.re	@	inf	(*.f64 y.re (log.f64 x.re))

rewrite52.0ms (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))))))

simplify50.0ms (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)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
✓	0.2b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	33.2b	(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 79 to 17 computations (78.5% saved)

series43.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	y.im	@	inf	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
8.0ms	x.re	@	inf	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
3.0ms	x.im	@	-inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
3.0ms	x.im	@	inf	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
3.0ms	x.im	@	-inf	(/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`associate-*r/`
880×	`associate-/r*`
860×	`associate-*l/`
732×	`associate-/l*`
372×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	363	84
2	4543	84

Stop Event

1×	node limit

Counts

2 → 76

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)))

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) 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 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.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)))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))) (sqrt.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) 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 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))))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))) 2) (cbrt.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) 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 y.re (atan2.f64 x.im x.re))))) 2) (*.f64 (cbrt.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 (hypot.f64 x.re x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 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simplify179.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-l`
940×	`times-frac`
914×	`associate-+r+`
812×	`+-commutative`
764×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	813	24350
1	2518	24090

Stop Event

1×	node limit

Counts

172 → 278

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	5.3b	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
✓	19.4b	(sin.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))
✓	35.7b	(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))

Compiler

Compiled 118 to 42 computations (64.4% saved)

series15.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	x.im	@	0	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
2.0ms	y.re	@	-inf	(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))
1.0ms	x.im	@	inf	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
1.0ms	x.im	@	-inf	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))
1.0ms	x.re	@	inf	(*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

198 → 139

Calls

Call 1

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

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

localize33.0ms (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)))))
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	33.2b	(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 130 to 21 computations (83.8% saved)

series117.0ms (0.4%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
31.0ms	x.im	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
11.0ms	x.re	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
11.0ms	x.im	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
9.0ms	x.re	@	0	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
9.0ms	x.im	@	0	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	336	74
2	3673	74

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs

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

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

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(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 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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 pow.f64 (cbrt.f64 (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 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re 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(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 (cbrt.f64 (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 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 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)))))))))))

simplify419.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1126×	`*-commutative`
994×	`associate-/r*`
992×	`associate-/l*`
948×	`+-commutative`
882×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1233	71111
1	4484	70929

Stop Event

1×	node limit

Counts

161 → 239

Calls

Call 1

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

eval1.7s (5.7%)

Compiler: Compiled 140033 to 54259 computations (61.3% saved)

prune577.0ms (1.9%)

Pruning

49 alts after pruning (49 fresh and 0 done)

	Pruned	Kept	Total
New	1420	36	1456
Fresh	21	13	34
Picked	1	0	1
Done	4	0	4
Total	1446	49	1495

Error

1.7b

Counts

1495 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	17.1b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))) 3)
	10.0b	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	38.7b	(/.f64 (pow.f64 (.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)) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.5b	(/.f64 (pow.f64 (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))))))) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	17.1b	(/.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) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	40.7b	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.5b	(/.f64 (pow.f64 (cbrt.f64 (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))))))) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	29.9b	(/.f64 (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	41.3b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/2) (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 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	38.4b	(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.7b	(/.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 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	17.1b	(/.f64 (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)) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	34.6b	(/.f64 (sin.f64 (/.f64 (-.f64 (.f64 (.f64 y.im y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) (log.f64 (hypot.f64 x.re x.im)))) (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 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	45.6b	(/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	44.3b	(/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	17.0b	(/.f64 (sin.f64 (.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 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	30.5b	(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	17.4b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	25.0b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	25.4b	(/.f64 (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)))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	37.4b	(/.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	27.7b	(/.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	42.8b	(/.f64 (fabs.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	16.7b	(/.f64 1 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
▶	37.4b	(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
	32.7b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	47.1b	(.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re))
	44.0b	(.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re))
	45.8b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	40.1b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	4.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (.f64 y.im (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)))))
	10.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.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 (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)))) -1/2) -2))
	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))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3))
	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	10.7b	(.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 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	23.5b	(.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 (exp.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1))
	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	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))) (sin.f64 (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re))))
▶	26.7b	(.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 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))))
	10.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	17.2b	(.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 (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))))
	42.7b	(.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))))
	51.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.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))
	43.8b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
▶	44.1b	(.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)))))
▶	56.4b	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
	16.7b	(log1p.f64 (expm1.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))))
	27.2b	(cbrt.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) 3))

Compiler

Compiled 2914 to 1686 computations (42.1% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	2.0b	(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
	6.6b	(cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
	33.2b	(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 155 to 30 computations (80.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1610×	`add-cube-cbrt`
1586×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	209	17
2	2230	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1368×	`distribute-lft-in`
1292×	`distribute-rgt-in`
726×	`*-commutative`
552×	`associate-+r+`
486×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	820
1	104	820
2	307	820
3	1351	802
4	4283	802

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	0.3b	(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
✓	24.9b	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 60 to 11 computations (81.7% saved)

series83.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
74.0ms	y.im	@	0	(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
1.0ms	x.im	@	inf	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
1.0ms	x.re	@	inf	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
1.0ms	x.im	@	0	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
1.0ms	x.re	@	0	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))

rewrite185.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`unswap-sqr`
738×	`swap-sqr`
570×	`distribute-rgt-in`
526×	`distribute-lft-in`
460×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	262	51
2	3319	51

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify170.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1006×	`associate-r`
758×	`*-commutative`
728×	`associate-/l*`
712×	`fma-def`
682×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	642	12805
1	1928	11619
2	7752	11619

Stop Event

1×	node limit

Counts

233 → 347

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 y.re (log.f64 x.re))
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	19.3b	(sin.f64 (fabs.f64 (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 80 to 14 computations (82.5% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`add-sqr-sqrt`
1692×	`*-un-lft-identity`
1556×	`add-cube-cbrt`
1534×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	197	17
2	2361	17

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(sin.f64 (fabs.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)))))))))

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

758×	`*-commutative`
754×	`associate-r`
586×	`associate-l`
550×	`distribute-lft-in`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	306
1	78	306
2	352	306
3	2044	306
4	5034	306
5	7431	306

Stop Event

1×	node limit

Counts

18 → 19

Calls

Call 1

Inputs
(-.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 (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)))

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))
✓	0.3b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
✓	5.1b	(log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
✓	33.2b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))

Compiler

Compiled 99 to 14 computations (85.9% saved)

series17.0ms (0.1%)

Counts

4 → 176

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	y.im	@	0	(*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))
1.0ms	x.re	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
1.0ms	x.re	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
1.0ms	x.im	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
1.0ms	x.im	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))

rewrite438.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
842×	`swap-sqr`
544×	`sqr-pow`
538×	`pow-sqr`
468×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	118
1	299	118
2	3327	118

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify201.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1054×	`fma-def`
986×	`associate-r`
690×	`*-commutative`
680×	`associate-l`
598×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	623	27057
1	1786	27057

Stop Event

1×	node limit

Counts

335 → 264

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

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

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	5.1b	(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	19.2b	(sin.f64 (.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))))
✓	26.6b	(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))

Compiler

Compiled 142 to 34 computations (76.1% saved)

series47.0ms (0.2%)

Counts

3 → 84

Calls

27 calls:

Time	Variable		Point	Expression
23.0ms	x.re	@	0	(sin.f64 (.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))))
2.0ms	x.im	@	0	(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
2.0ms	x.im	@	0	(sin.f64 (.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))))
2.0ms	x.im	@	-inf	(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
2.0ms	x.im	@	inf	(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`*-commutative`
912×	`sqrt-prod`
790×	`unswap-sqr`
632×	`swap-sqr`
458×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	276	57
2	3221	57

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-/r/`
690×	`associate-/l/`
682×	`fma-def`
670×	`distribute-rgt-in`
664×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	6897
1	719	5861
2	2533	5711
3	6419	5711

Stop Event

1×	node limit

Counts

209 → 181

Calls

Call 1

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

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

eval857.0ms (2.9%)

Compiler: Compiled 48028 to 18448 computations (61.6% saved)

prune577.0ms (1.9%)

Pruning

64 alts after pruning (63 fresh and 1 done)

	Pruned	Kept	Total
New	1170	36	1206
Fresh	17	27	44
Picked	0	1	1
Done	4	0	4
Total	1191	64	1255

Error

1.7b

Counts

1255 → 64

Alt Table

Click to see full alt table

Status	Error	Program
	48.8b	(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))))
	56.7b	(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2)
	48.0b	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 3)
	10.0b	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	38.7b	(/.f64 (pow.f64 (.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)) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	40.7b	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.5b	(/.f64 (pow.f64 (cbrt.f64 (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))))))) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	29.9b	(/.f64 (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) 3) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	9.7b	(/.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 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	45.6b	(/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	44.3b	(/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	30.5b	(/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	17.4b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	42.8b	(/.f64 (fabs.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	16.7b	(/.f64 1 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
	37.4b	(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))))))
	52.0b	(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (log.f64 (exp.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))))
	32.7b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	47.1b	(.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re))
	44.0b	(.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re))
	40.1b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	5.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 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))))) 3))
	12.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	10.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.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))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 3))
	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	10.7b	(.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 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	23.5b	(.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 (exp.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1))
	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	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))) (sin.f64 (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re))))
✓	26.7b	(.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 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))))
	10.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	42.7b	(.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))))
	51.3b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.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))
	43.8b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	48.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	61.2b	(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 y.im (*.f64 x.im x.im))))))
	61.4b	(sin.f64 (fma.f64 y.im (log.f64 x.im) (/.f64 (.f64 1/2 (.f64 x.re x.re)) (/.f64 x.im (/.f64 y.im x.im)))))
	58.5b	(sin.f64 (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.im (log.f64 x.re))))
	60.8b	(sin.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im)) (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	61.2b	(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))
	56.7b	(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) 2))
	48.0b	(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) 3))
	47.8b	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2)) y.im) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))) y.im)))
	57.0b	(sin.f64 (*.f64 (log.f64 x.re) y.im))
	60.2b	(sin.f64 (*.f64 (log.f64 x.im) y.im))
	47.8b	(sin.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
	60.5b	(sin.f64 (*.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im))))
	58.2b	(sin.f64 (*.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))))
	47.9b	(sin.f64 (*.f64 y.im (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)))))))
	51.7b	(sin.f64 (*.f64 y.im (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))))))
	60.5b	(sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im))))
	60.1b	(sin.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 x.im (/.f64 x.re x.im))) x.re))))
	57.8b	(sin.f64 (.f64 y.im (log.f64 (+.f64 x.re (.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re))))))
	59.8b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
	59.5b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
	51.4b	(sin.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) 1)))
	51.4b	(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
	48.4b	(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
	57.1b	(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
	48.7b	(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) 3)))
	48.6b	(sin.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))
	47.8b	(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
	55.3b	(fabs.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

Compiler

Compiled 1404 to 912 computations (35% saved)

regimes417.0ms (1.4%)

Counts

133 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

100.0ms	x.re
93.0ms	x.im
71.0ms	y.re
60.0ms	y.im
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
2.3b	1	`x.re`
2.3b	1	`x.im`
2.3b	1	`y.re`
2.3b	1	`y.im`
2.3b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 3758 to 845 computations (77.5% saved)

regimes426.0ms (1.4%)

Counts

105 → 1

Calls

Call 1

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

Outputs

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

96.0ms	y.im
86.0ms	y.re
79.0ms	x.re
67.0ms	x.im
52.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
2.3b	1	`x.re`
2.3b	1	`x.im`
2.3b	1	`y.re`
2.3b	1	`y.im`
2.3b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 2289 to 591 computations (74.2% saved)

regimes419.0ms (1.4%)

Counts

101 → 1

Calls

Call 1

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

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:

110.0ms	y.im
95.0ms	x.im
72.0ms	y.re
62.0ms	x.re
19.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
2.3b	1	`x.re`
2.3b	1	`x.im`
2.3b	1	`y.re`
2.3b	1	`y.im`
2.3b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 2174 to 579 computations (73.4% saved)

regimes712.0ms (2.4%)

Counts

80 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

214.0ms	x.im
189.0ms	y.re
136.0ms	y.im
85.0ms	x.re
27.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.6b	2	`x.re`
5.7b	6	`x.im`
5.6b	3	`y.re`
2.3b	3	`y.im`
6.0b	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 1541 to 463 computations (70% saved)

bsearch69.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	1.1497815718392155e-67	3.0014319882684193e-63
27.0ms	-4.4317867381177914e-12	-2.9735118747019203e-12

Results

47.0ms	192×	body	256	valid
12.0ms	6×	body	256	infinite
4.0ms	4×	body	1024	infinite
2.0ms	5×	body	512	infinite

Compiler

Compiled 704 to 453 computations (35.7% saved)

regimes806.0ms (2.7%)

Counts

76 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

253.0ms	x.im
194.0ms	y.im
189.0ms	y.re
70.0ms	x.re
29.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.6b	2	`x.re`
5.7b	6	`x.im`
5.6b	3	`y.re`
2.3b	3	`y.im`
6.0b	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 1442 to 441 computations (69.4% saved)

bsearch57.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.1497815718392155e-67	3.0014319882684193e-63
18.0ms	-4.4317867381177914e-12	-2.9735118747019203e-12

Results

45.0ms	192×	body	256	valid
5.0ms	7×	body	1024	infinite
2.0ms	4×	body	512	infinite
1.0ms	7×	body	256	infinite

Compiler

Compiled 692 to 441 computations (36.3% saved)

regimes698.0ms (2.3%)

Counts

68 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

357.0ms	x.im
112.0ms	y.re
89.0ms	y.im
85.0ms	x.re
27.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.6b	2	`x.re`
5.7b	6	`x.im`
5.6b	3	`y.re`
2.3b	3	`y.im`
6.0b	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 1270 to 403 computations (68.3% saved)

bsearch85.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.1497815718392155e-67	3.0014319882684193e-63
50.0ms	-4.4317867381177914e-12	-2.9735118747019203e-12

Results

42.0ms	192×	body	256	valid
36.0ms	4×	body	512	infinite
2.0ms	7×	body	256	infinite
1.0ms	2×	body	1024	infinite

Compiler

Compiled 692 to 441 computations (36.3% saved)

regimes485.0ms (1.6%)

Counts

56 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

167.0ms	x.im
125.0ms	x.re
97.0ms	y.re
75.0ms	y.im

Results

Error	Segments	Branch
8.9b	3	`x.re`
7.1b	7	`x.im`
5.6b	3	`y.re`
2.3b	3	`y.im`

Compiler

Compiled 924 to 318 computations (65.6% saved)

bsearch54.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.1497815718392155e-67	3.0014319882684193e-63
19.0ms	-4.4317867381177914e-12	-2.9735118747019203e-12

Results

45.0ms	192×	body	256	valid
3.0ms	7×	body	512	infinite
1.0ms	5×	body	256	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 660 to 409 computations (38% saved)

regimes433.0ms (1.4%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

4 calls:

156.0ms	x.im
120.0ms	x.re
70.0ms	y.im
68.0ms	y.re

Results

Error	Segments	Branch
9.4b	5	`x.re`
9.5b	7	`x.im`
9.4b	3	`y.re`
3.0b	3	`y.im`

Compiler

Compiled 859 to 301 computations (65% saved)

bsearch114.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.010526749671424104	27499.76614346734
64.0ms	-1426313571237.4692	-12.570652350071732

Results

76.0ms	304×	body	256	valid
20.0ms	88×	body	256	infinite
4.0ms	6×	body	1024	infinite
4.0ms	9×	body	512	infinite

Compiler

Compiled 1017 to 614 computations (39.6% saved)

regimes396.0ms (1.3%)

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

142.0ms	x.im
105.0ms	x.re
68.0ms	y.im
62.0ms	y.re

Results

Error	Segments	Branch
9.4b	5	`x.re`
9.5b	7	`x.im`
9.4b	3	`y.re`
3.0b	3	`y.im`

Compiler

Compiled 838 to 300 computations (64.2% saved)

bsearch90.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.010526749671424104	27499.76614346734
49.0ms	-1426313571237.4692	-12.570652350071732

Results

67.0ms	304×	body	256	valid
13.0ms	59×	body	256	infinite
4.0ms	6×	body	1024	infinite
2.0ms	4×	body	512	infinite

Compiler

Compiled 988 to 585 computations (40.8% saved)

regimes406.0ms (1.4%)

Counts

50 → 5

Calls

Call 1

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

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

Calls

4 calls:

137.0ms	y.im
111.0ms	x.im
78.0ms	y.re
62.0ms	x.re

Results

Error	Segments	Branch
11.6b	2	`x.re`
13.1b	4	`x.im`
10.7b	3	`y.re`
9.3b	5	`y.im`

Compiler

Compiled 797 to 291 computations (63.5% saved)

bsearch199.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	0.010526749671424104	27499.76614346734
53.0ms	2.516451458534685e-295	5.0909124939383415e-279
28.0ms	-1.5216244576351228e-214	-1.2805505561385392e-216
78.0ms	-1426313571237.4692	-12.570652350071732

Results

164.0ms	576×	body	256	valid
13.0ms	59×	body	256	infinite
8.0ms	13×	body	1024	infinite
2.0ms	2×	body	2048	infinite
2.0ms	5×	body	512	infinite

Compiler

Compiled 1658 to 1059 computations (36.1% saved)

regimes323.0ms (1.1%)

Counts

45 → 5

Calls

Call 1

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

Calls

4 calls:

108.0ms	y.im
78.0ms	x.im
66.0ms	y.re
57.0ms	x.re

Results

Error	Segments	Branch
14.1b	2	`x.re`
13.1b	4	`x.im`
10.7b	3	`y.re`
9.3b	5	`y.im`

Compiler

Compiled 658 to 263 computations (60% saved)

bsearch183.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	0.010526749671424104	27499.76614346734
50.0ms	2.516451458534685e-295	5.0909124939383415e-279
31.0ms	-1.5216244576351228e-214	-1.2805505561385392e-216
51.0ms	-1426313571237.4692	-12.570652350071732

Results

126.0ms	576×	body	256	valid
24.0ms	107×	body	256	infinite
12.0ms	5×	body	2048	infinite
9.0ms	14×	body	1024	infinite
3.0ms	8×	body	512	infinite

Compiler

Compiled 1547 to 1016 computations (34.3% saved)

regimes484.0ms (1.6%)

Counts

36 → 7

Calls

Call 1

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

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

Calls

4 calls:

160.0ms	x.im
137.0ms	x.re
89.0ms	y.re
86.0ms	y.im

Results

Error	Segments	Branch
20.2b	7	`x.re`
16.6b	7	`x.im`
17.5b	5	`y.re`
17.0b	5	`y.im`

Compiler

Compiled 456 to 197 computations (56.8% saved)

bsearch283.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
58.0ms	5.372001308685296e+249	6.927112062401468e+256
48.0ms	8.015034930988922e-39	2.9292007572686015e-34
29.0ms	-3.5500351603109915e-217	-1.2595188960426291e-217
83.0ms	-9.387029645258841e-113	-6.918923334345515e-121
24.0ms	-2.7136975181477263	-1.3836036068922892
40.0ms	-1.1330520539227836e+155	-1.5840312263583114e+153

Results

144.0ms	666×	body	256	valid
88.0ms	102×	body	1024	infinite
16.0ms	37×	body	512	infinite
12.0ms	12×	body	2048	infinite
6.0ms	30×	body	256	infinite
2.0ms	1×	body	2048	valid
1.0ms	2×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 1754 to 1176 computations (33% saved)

regimes754.0ms (2.5%)

Counts

35 → 7

Calls

Call 1

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

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

Calls

4 calls:

317.0ms	x.im
223.0ms	x.re
106.0ms	y.re
74.0ms	y.im

Results

Error	Segments	Branch
20.2b	7	`x.re`
20.7b	6	`x.im`
20.2b	3	`y.re`
21.8b	4	`y.im`

Compiler

Compiled 438 to 193 computations (55.9% saved)

bsearch247.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
31.0ms	7.261635130094392e+40	5.649100285267848e+41
21.0ms	6339.341868049153	8785.324796976953
53.0ms	6.345044560374958e-166	1.1895190748180955e-154
52.0ms	1.5094974144037777e-281	2.6210092447618483e-280
68.0ms	-229297431250.10477	-14.150296814074665
22.0ms	-1.4718109923176213e+138	-5.727925722060424e+137

Results

180.0ms	668×	body	256	valid
42.0ms	36×	body	1024	infinite
7.0ms	19×	body	512	infinite
6.0ms	19×	body	256	infinite
1.0ms	3×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 1812 to 1168 computations (35.5% saved)

regimes341.0ms (1.1%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

100.0ms	x.re
99.0ms	y.im
70.0ms	y.re
61.0ms	x.im

Results

Error	Segments	Branch
24.7b	4	`x.re`
27.0b	4	`x.im`
20.2b	3	`y.re`
26.8b	5	`y.im`

Compiler

Compiled 405 to 189 computations (53.3% saved)

bsearch104.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	1.0137030800369342e-137	5.6361140008763016e-123
56.0ms	-9.266544083685392e-54	-2.3638845732277422e-58

Results

88.0ms	273×	body	256	valid
5.0ms	8×	body	1024	valid
2.0ms	6×	body	512	valid
2.0ms	8×	body	256	infinite
2.0ms	4×	body	512	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 642 to 457 computations (28.8% saved)

regimes318.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

109.0ms	x.re
87.0ms	y.im
57.0ms	y.re
57.0ms	x.im

Results

Error	Segments	Branch
24.7b	4	`x.re`
27.0b	4	`x.im`
20.3b	3	`y.re`
26.8b	5	`y.im`

Compiler

Compiled 317 to 153 computations (51.7% saved)

bsearch84.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	1.0137030800369342e-137	5.6361140008763016e-123
35.0ms	-9.266544083685392e-54	-2.3638845732277422e-58

Results

56.0ms	271×	body	256	valid
7.0ms	9×	body	1024	valid
3.0ms	8×	body	512	valid
3.0ms	8×	body	512	infinite
1.0ms	5×	body	256	infinite

Compiler

Compiled 660 to 475 computations (28% saved)

regimes157.0ms (0.5%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	x.im
34.0ms	y.im
28.0ms	y.re
27.0ms	x.re

Results

Error	Segments	Branch
46.8b	3	`x.re`
46.5b	3	`x.im`
38.1b	3	`y.re`
45.8b	3	`y.im`

Compiler

Compiled 239 to 130 computations (45.6% saved)

bsearch170.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
116.0ms	11865967841.279003	5.530724303799365e+19
54.0ms	-3.1515976792778106	-0.008191864598662028

Results

81.0ms	279×	body	256	valid
68.0ms	132×	body	256	infinite
6.0ms	10×	body	1024	infinite
6.0ms	14×	body	512	infinite
3.0ms	5×	body	1024	valid
1.0ms	3×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 534 to 403 computations (24.5% saved)

regimes152.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

Inputs
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.re) y.im))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(sin.f64 (.f64 y.im (log.f64 (+.f64 x.re (.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re))))))
(sin.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 x.im (/.f64 x.re x.im))) x.re))))
(sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im))))
(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 (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im))))
(sin.f64 (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 y.im (log.f64 x.im) (/.f64 (.f64 1/2 (.f64 x.re x.re)) (/.f64 x.im (/.f64 y.im x.im)))))
(sin.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im)) (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 y.im (*.f64 x.im x.im))))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(fabs.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) 1)))

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

Calls

4 calls:

60.0ms	x.re
33.0ms	y.im
27.0ms	y.re
25.0ms	x.im

Results

Error	Segments	Branch
47.2b	3	`x.re`
47.0b	3	`x.im`
38.5b	3	`y.re`
46.3b	3	`y.im`

Compiler

Compiled 229 to 124 computations (45.9% saved)

bsearch150.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
116.0ms	11865967841.279003	5.530724303799365e+19
34.0ms	-3.1515976792778106	-0.008191864598662028

Results

66.0ms	284×	body	256	valid
66.0ms	152×	body	256	infinite
7.0ms	15×	body	512	infinite
5.0ms	8×	body	1024	infinite
2.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 462 to 331 computations (28.4% saved)

regimes48.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.re) y.im))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(sin.f64 (.f64 y.im (log.f64 (+.f64 x.re (.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re))))))
(sin.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 x.im (/.f64 x.re x.im))) x.re))))
(sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im))))
(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 (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im))))
(sin.f64 (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 y.im (log.f64 x.im) (/.f64 (.f64 1/2 (.f64 x.re x.re)) (/.f64 x.im (/.f64 y.im x.im)))))
(sin.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im)) (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 y.im (*.f64 x.im x.im))))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))

Outputs
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))

Calls

4 calls:

17.0ms	y.re
10.0ms	x.im
8.0ms	y.im
8.0ms	x.re

Results

Error	Segments	Branch
48.3b	1	`x.re`
48.3b	1	`x.im`
48.3b	1	`y.re`
48.3b	1	`y.im`

Compiler

Compiled 205 to 114 computations (44.4% saved)

regimes42.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	y.re
10.0ms	x.re
10.0ms	x.im
5.0ms	y.im

Results

Error	Segments	Branch
51.6b	3	`x.re`
52.1b	3	`x.im`
55.8b	3	`y.re`
57.0b	1	`y.im`

Compiler

Compiled 46 to 34 computations (26.1% saved)

bsearch66.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.5094974144037777e-281	2.6210092447618483e-280
32.0ms	-1.6244653746396218e-60	-2.9787572193332575e-62

Results

49.0ms	224×	body	256	valid
12.0ms	17×	body	1024	infinite
1.0ms	3×	body	512	infinite
0.0ms	2×	body	256	infinite

Compiler

Compiled 349 to 270 computations (22.6% saved)

regimes32.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y.re
10.0ms	x.im
8.0ms	x.re
3.0ms	y.im

Results

Error	Segments	Branch
54.1b	2	`x.re`
52.1b	3	`x.im`
56.0b	3	`y.re`
57.0b	1	`y.im`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch110.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	9.251853702464019e-69	3.953643499546904e-68
61.0ms	-3.248382398425385e-15	-2.2726405833661593e-26

Results

72.0ms	250×	body	256	valid
23.0ms	33×	body	1024	infinite
8.0ms	20×	body	512	infinite
2.0ms	6×	body	512	valid
2.0ms	7×	body	256	infinite

Compiler

Compiled 378 to 291 computations (23% saved)

regimes27.0ms (0.1%)

Accuracy

Total -8.5b remaining (-15.6%)

Threshold costs -8.5b (-15.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y.re
7.0ms	x.re
5.0ms	x.im
3.0ms	y.im

Results

Error	Segments	Branch
55.1b	2	`x.re`
54.6b	2	`x.im`
56.0b	3	`y.re`
57.0b	1	`y.im`

Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch35.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	9.251853702464019e-69	3.953643499546904e-68

Results

19.0ms	95×	body	256	valid
7.0ms	14×	body	512	infinite
4.0ms	7×	body	1024	infinite
2.0ms	7×	body	256	infinite
1.0ms	1×	body	1024	valid

Compiler

Compiled 168 to 121 computations (28% saved)

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative`
30×	`+-commutative`
18×	`sub-neg`
18×	`if-if-or-not`
12×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	3212
1	295	3174
2	320	3174
3	333	3170
4	339	3170
5	341	3170

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) (pow.f64 (cbrt.f64 (.f64 y.im (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)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.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))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.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))))) (if (<=.f64 y.im 3408919107146589/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.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))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -54000) (.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))))) (if (<=.f64 y.im 235) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fabs.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -15600) (.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.im 255) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -420) (.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.im -5579361894205673/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.im 6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.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.im 450) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.im -7200) (.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.im -3493165707676595/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.im 6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.im 4900) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -88000000000000004442236586435046265082332909346322287461926456609026694167449074793064725010398750859160720921877873287119481029182751883008297801867067392) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.im -5854679515581645/2251799813685248) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.im -1162941958872971/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.im -4347050658441985/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.im 3390683798607695/11692013098647223345629478661730264157247460343808) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.im 11499999999999999919298414245250574350000089864328416351983161745524786008457665611309156549403121699193053826363540251687672345180076373399166388305927252523442967143562046042328424177430082242716895628584350975832041209058045648451830278182967055482880) (.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 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))))))))
(if (<=.f64 x.re -900000000000000029557406240284433471088311309723650525961082083632872306208909195989601184064954671415554554305890192020783641570790342656) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.re -1350) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 480279012086435/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.re 23503115526865/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.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 7100) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 x.re 169999999999999999119733385185916463611904) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re))))))))
(if (<=.f64 y.re -795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 520997997575091/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (log1p.f64 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(if (<=.f64 y.re -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 5477921803075243/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (sin.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(if (<=.f64 y.re -2296835809958953/2251799813685248) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (if (<=.f64 y.re 12000000000) (sin.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))))
(if (<=.f64 y.re -1) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (if (<=.f64 y.re 12000000000) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(if (<=.f64 x.re -4168515212543383/57896044618658097711785492504343953926634992332820282019728792003956564819968) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (if (<=.f64 x.re 8583710003246923/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (sin.f64 (*.f64 (log.f64 x.re) y.im))))
(if (<=.f64 x.im -1742245718635205/10889035741470030830827987437816582766592) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (if (<=.f64 x.im 7576408679680343/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (*.f64 (log.f64 x.im) y.im))))
(if (<=.f64 x.im 4322438285202247/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (.f64 (log.f64 x.im) y.im)))
(sin.f64 (*.f64 (log.f64 x.im) y.im))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (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)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (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)))))))
(.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 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (pow.f64 (cbrt.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.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))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (log1p.f64 (expm1.f64 (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 1 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.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))))) (if (<=.f64 y.im 3408919107146589/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 3408919107146589/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 1 (/.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (.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))))) (if (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (or (<=.f64 y.im -3713820117856141/1237940039285380274899124224) (not (<=.f64 y.im 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(if (<=.f64 y.im -54000) (.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))))) (if (<=.f64 y.im 235) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fabs.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (or (<=.f64 y.im -54000) (not (<=.f64 y.im 235))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (fabs.f64 (.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 1 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(if (<=.f64 y.im -15600) (.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.im 255) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -15600) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 y.im 255) (/.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -420) (.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.im -5579361894205673/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.im 6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.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.im 450) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
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(if (or (<=.f64 y.re -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104) (not (<=.f64 y.re 5477921803075243/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808))) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (sin.f64 (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.re -2296835809958953/2251799813685248) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (if (<=.f64 y.re 12000000000) (sin.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))))
(if (or (<=.f64 y.re -2296835809958953/2251799813685248) (not (<=.f64 y.re 12000000000))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.re -1) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (if (<=.f64 y.re 12000000000) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))))
(if (or (<=.f64 y.re -1) (not (<=.f64 y.re 12000000000))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(if (<=.f64 x.re -4168515212543383/57896044618658097711785492504343953926634992332820282019728792003956564819968) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (if (<=.f64 x.re 8583710003246923/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (sin.f64 (*.f64 (log.f64 x.re) y.im))))
(if (<=.f64 x.re -4168515212543383/57896044618658097711785492504343953926634992332820282019728792003956564819968) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (if (<=.f64 x.re 8583710003246923/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (sin.f64 (*.f64 y.im (log.f64 x.re)))))
(if (<=.f64 x.im -1742245718635205/10889035741470030830827987437816582766592) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (if (<=.f64 x.im 7576408679680343/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (*.f64 (log.f64 x.im) y.im))))
(if (<=.f64 x.im -1742245718635205/10889035741470030830827987437816582766592) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (if (<=.f64 x.im 7576408679680343/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (sin.f64 (.f64 y.im (log.f64 x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(if (<=.f64 x.im 4322438285202247/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (.f64 (log.f64 x.im) y.im)))
(if (<=.f64 x.im 4322438285202247/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (sin.f64 (.f64 y.im (log.f64 x.re))) (sin.f64 (.f64 y.im (log.f64 x.im))))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 1170 to 586 computations (49.9% saved)

soundness546.0ms (1.8%)

Algorithm

5×	egg-herbie

Rules

1704×	`unswap-sqr`
1704×	`unswap-sqr`
1704×	`unswap-sqr`
1106×	`+-commutative`
1106×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	42	75
2	75	75
3	128	75
4	291	75
5	1089	75
6	4037	75
7	5670	75
8	6586	75
9	7746	75
0	500	10839
1	1401	9973
2	5558	9973
0	22	79
1	42	75
2	75	75
3	128	75
4	291	75
5	1089	75
6	4037	75
7	5670	75
8	6586	75
9	7746	75
0	22	79
1	42	75
2	75	75
3	128	75
4	291	75
5	1089	75
6	4037	75
7	5670	75
8	6586	75
9	7746	75
0	500	10839
1	1401	9973
2	5558	9973

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 826 to 227 computations (72.5% saved)

end326.0ms (1.1%)

Compiler: Compiled 1086 to 305 computations (71.9% saved)