Details

analyze433.0ms (1.4%)

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)

sample5.6s (18.7%)

Results

2.3s	7928×	body	256	valid
2.1s	2607×	body	1024	infinite
487.0ms	951×	body	512	infinite
339.0ms	827×	body	256	infinite
173.0ms	158×	body	2048	infinite
162.0ms	204×	body	1024	valid
48.0ms	116×	body	512	valid
8.0ms	8×	body	2048	valid

Bogosity

preprocess71.0ms (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)

simplify86.0ms (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

3.7b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
▶	3.7b	(.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	32.0b	(.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) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

9.9b

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

▶

3.7b

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

▶

32.0b

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

Compiler

Compiled 100 to 49 computations (51% saved)

localize65.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	33.8b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series38.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
19.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	y.im	@	inf	(*.f64 (atan2.f64 x.im x.re) y.im)

rewrite114.0ms (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.im)
(*.f64 (atan2.f64 x.im x.re) y.re)

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

simplify235.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-+r+`
1086×	`+-commutative`
940×	`associate-r`
878×	`associate-*r/`
708×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	545	13288
1	1495	12300
2	5962	12300

Stop Event

1×	node limit

Counts

216 → 264

Calls

Call 1

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

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

localize27.0ms (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)
✓	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	33.8b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 108 to 15 computations (86.1% saved)

series57.0ms (0.2%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
43.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
5.0ms	x.im	@	inf	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	0	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	0	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	-inf	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

rewrite85.0ms (0.3%)

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 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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))))))

simplify137.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

135 → 279

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
✓	0.4b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	33.8b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 99 to 15 computations (84.8% saved)

series118.0ms (0.4%)

Counts

4 → 116

Calls

36 calls:

Time	Variable		Point	Expression
30.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
19.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
15.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
14.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
14.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`unswap-sqr`
922×	`swap-sqr`
614×	`sqr-pow`
510×	`distribute-rgt-in`
472×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	311	80
2	3678	80

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-+r+`
1098×	`+-commutative`
1040×	`associate-r`
934×	`associate-*r/`
740×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	610	13752
1	1649	12466
2	6115	12460

Stop Event

1×	node limit

Counts

230 → 335

Calls

Call 1

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

eval708.0ms (2.3%)

Compiler: Compiled 53742 to 16082 computations (70.1% saved)

prune594.0ms (2%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	960	29	989
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	963	29	992

Error

3.1b

Counts

992 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	10.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (+.f64 (.f64 (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)))))
▶	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))
	18.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	18.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	27.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
	24.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	15.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	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))
	4.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	34.8b	(.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 (.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 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
	22.4b	(.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 (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))))))
	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 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	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 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	18.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	24.2b	(.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 (+.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))))))))
	24.2b	(.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)))))))
	16.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))
▶	3.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	13.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	23.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
▶	46.0b	(.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 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	27.5b	(.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 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 1988 to 1050 computations (47.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	33.8b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 137 to 17 computations (87.6% saved)

series192.0ms (0.6%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	y.im	@	-inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
52.0ms	y.im	@	inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
39.0ms	y.re	@	-inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
22.0ms	y.re	@	inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
4.0ms	x.re	@	-inf	(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 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simplify127.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	15344
1	1678	14290

Stop Event

1×	node limit

Counts

72 → 124

Calls

Call 1

Inputs
(log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1))
(+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 x.im 2)))))
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(log.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 x.re 2) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))))
(+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (pow.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2))) (.f64 24 (/.f64 (+.f64 (.f64 -1/4 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 -1/8 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 x.re 2) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (/.f64 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 x.im 6) (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 3))) (pow.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 3))) (+.f64 (.f64 720 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 1/8 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1))) (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 -1/8 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (pow.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2))))) (pow.f64 x.re 6))) (+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (pow.f64 (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2))) (.f64 24 (/.f64 (+.f64 (.f64 -1/4 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 -1/8 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 x.re 2) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3/2))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6))
(pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))
(log.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 1))

Outputs
(log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1))
(log.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))
(+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 x.im 2)))))
(+.f64 (log.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (/.f64 (.f64 y.im (.f64 x.re x.re)) (.f64 x.im x.im)))))
(fma.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1)) (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im))) (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 24 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1))) (.f64 -3 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2) (pow.f64 x.im 4))))))) (+.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 x.im 2))))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 24 (/.f64 (fma.f64 -1/8 (/.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im))) (.f64 -1/4 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) y.im)))) (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 -3 (.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1) 2)) (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)))))) (+.f64 (log.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (/.f64 (.f64 y.im (.f64 x.re x.re)) (*.f64 x.im x.im))))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 24 (/.f64 (fma.f64 -1/8 (.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (pow.f64 x.im 4)) (.f64 y.im y.im)) (/.f64 (.f64 (.f64 y.im -1/4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1)) (.f64 -3 (.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 2) (pow.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1) 2)) (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)))))) (fma.f64 1/2 (.f64 (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 1)) (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im))) (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3/2))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/6))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1)
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2)
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 3)
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) 1/3)
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))
(fabs.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (+.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 1))
(log.f64 (+.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	19.2b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite334.0ms (1.1%)

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)))))))))

simplify335.0ms (1.1%)

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)))

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 x.im (*.f64 x.re x.re))
✓	8.5b	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
✓	19.2b	(sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 216 to 52 computations (75.9% saved)

series18.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	y.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`associate-/l*`
766×	`associate-/r/`
422×	`add-sqr-sqrt`
412×	`pow1`
412×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	396	95
2	5526	95

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

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

(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))

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

Outputs

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/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))) (-.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (fma.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (fma.f64 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simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-/r/`
1050×	`associate-r`
742×	`fma-def`
722×	`associate-l`
650×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	557	14300
1	1637	13466
2	6866	13434

Stop Event

1×	node limit

Counts

190 → 287

Calls

Call 1

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

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

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.6b	(cbrt.f64 (hypot.f64 x.im x.re))
✓	34.0b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))

Compiler

Compiled 127 to 34 computations (73.2% saved)

series30.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	x.im	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
7.0ms	x.im	@	0	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
3.0ms	x.re	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
3.0ms	x.re	@	0	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
2.0ms	x.im	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`unswap-sqr`
978×	`swap-sqr`
604×	`sqr-pow`
580×	`distribute-rgt-in`
536×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	329	46
2	3816	46

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1236×	`unswap-sqr`
690×	`associate-/r*`
652×	`associate-r`
632×	`associate-/l*`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	6781
1	985	6271
2	3352	6091

Stop Event

1×	node limit

Counts

105 → 166

Calls

Call 1

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

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

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
	0.4b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	16.8b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2)))

Compiler

Compiled 125 to 28 computations (77.6% saved)

series53.0ms (0.2%)

Counts

1 → 29

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	x.re	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2)))
4.0ms	x.im	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2)))
3.0ms	y.im	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2)))
2.0ms	x.re	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2)))
2.0ms	x.im	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2)))

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`unswap-sqr`
864×	`swap-sqr`
570×	`sqr-pow`
552×	`pow-sqr`
474×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	336	35
2	3592	35

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) (*.f64 1 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 1) (*.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 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 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 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((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re 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simplify157.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-*r/`
1120×	`associate-*l/`
1096×	`associate-+r+`
942×	`+-commutative`
924×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	9701
1	1148	8703
2	4924	8703

Stop Event

1×	node limit

Counts

59 → 130

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 (+.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 (-.f64 (+.f64 (.f64 1/16 (/.f64 y.im (.f64 (pow.f64 x.re 4) (log.f64 x.re)))) (.f64 -1/4 (/.f64 y.im (pow.f64 x.re 4)))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 y.im (log.f64 x.re))))) 2)) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 4))) (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 y.im (.f64 (pow.f64 x.re 4) (log.f64 x.re)))) (.f64 -1/4 (/.f64 y.im (pow.f64 x.re 4)))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 y.im (log.f64 x.re))))) 2)) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (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 (.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 (.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))))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (-.f64 (+.f64 (.f64 -1/4 (/.f64 y.im (pow.f64 x.re 4))) (.f64 1/16 (/.f64 y.im (.f64 (pow.f64 x.re 4) (log.f64 x.re))))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 y.im (log.f64 x.re))))) 2)))) (pow.f64 x.re 2)))) (pow.f64 x.im 6)))))
(sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x.im))))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.im))) (pow.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 x.re 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 y.im (log.f64 (/.f64 1 x.im)))))) 2)) (cos.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4)) (+.f64 (sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x.im))))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.im))) (pow.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 x.re 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 y.im (log.f64 (/.f64 1 x.im)))))) 2)) (cos.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 x.im))))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.im))) (pow.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 x.re 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 y.im (log.f64 (/.f64 1 x.im)))))) 2)) (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im))) (pow.f64 x.im 6))) (+.f64 (sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im)))) (pow.f64 x.im 6)))))))
(sin.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) (sqrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3/2))
(.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3) 1/6))
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
(pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2))
(log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
(cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(exp.f64 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))

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

eval1.2s (3.9%)

Compiler: Compiled 91174 to 34172 computations (62.5% saved)

prune811.0ms (2.7%)

Pruning

55 alts after pruning (55 fresh and 0 done)

	Pruned	Kept	Total
New	1429	39	1468
Fresh	8	16	24
Picked	1	0	1
Done	4	0	4
Total	1442	55	1497

Error

3.1b

Counts

1497 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)) 2))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.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))) 2))))
	51.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))))
	18.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))
	10.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))))))
	41.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 x.im)))))))
	9.9b	(.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 3 (*.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))
	18.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
▶	18.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	27.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
	41.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 3 (.f64 y.im (log.f64 (cbrt.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))))
	42.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 3 (.f64 (log.f64 (pow.f64 x.im 1/3)) y.im)))))
▶	41.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))
	24.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im))))
	42.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
▶	15.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
	15.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))
	49.2b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	44.4b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	47.3b	(.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))))
	43.0b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	50.7b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
▶	4.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	18.8b	(.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 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	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 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	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 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	22.3b	(.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 (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	37.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	24.2b	(.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)))))))
	16.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))))
	4.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2)) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))) (.f64 y.im y.im) (/.f64 y.im (/.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
	17.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) y.re)))))
	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))))
	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))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))))
	46.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	16.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fabs.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
	35.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))
	13.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))))
	23.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	27.5b	(.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 y.re (atan2.f64 x.im x.re))))
	55.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	55.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	42.5b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	47.4b	(.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 3796 to 2140 computations (43.6% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	33.8b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 140 to 21 computations (85% saved)

series122.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	y.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)
23.0ms	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)
12.0ms	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)
12.0ms	x.im	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
10.0ms	x.re	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify298.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1067	51335
1	3929	48195

Stop Event

1×	node limit

Counts

83 → 132

Calls

Call 1

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

Outputs
(pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 2)) 1/3)
(cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
(+.f64 (pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) 1/3) (.f64 (+.f64 (.f64 1/6 (.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 2)) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 1/3) (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))))) (pow.f64 x.re 2)))
(+.f64 (cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (.f64 (fma.f64 1/6 (.f64 1 (/.f64 y.im (/.f64 (.f64 x.im x.im) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (/.f64 y.im (/.f64 (.f64 x.im x.im) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) (.f64 x.re x.re)))
(+.f64 (cbrt.f64 (.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (.f64 (fma.f64 1/6 (.f64 1 (.f64 (/.f64 y.im (.f64 x.im x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (/.f64 y.im (.f64 x.im x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 x.re x.re)))
(+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 1/18 (.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))) (.f64 1/12 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)) (pow.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 4)) 1/3)))) (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2)) 1/3))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) (pow.f64 x.im 4)))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) (pow.f64 x.im 4)))))))))) (+.f64 (pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) 1/3) (.f64 (+.f64 (.f64 1/6 (.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 2)) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 1/3) (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))))) (pow.f64 x.re 2))))
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(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6)))
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(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))
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(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) 3) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2) 3))
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(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
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(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4)) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4)) (.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)))
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(.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)))
(.f64 (.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6))) (.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (.f64 (.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) 3/4))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) 3/2)
(.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/6))
(sqrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.re (log.f64 x.re))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	19.2b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series47.0ms (0.2%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y.re	@	0	(*.f64 y.re (log.f64 x.re))
11.0ms	x.re	@	-inf	(*.f64 y.re (log.f64 x.re))
10.0ms	x.re	@	inf	(*.f64 y.re (log.f64 x.re))
10.0ms	x.re	@	0	(*.f64 y.re (log.f64 x.re))
0.0ms	y.re	@	inf	(*.f64 y.re (log.f64 x.re))

rewrite51.0ms (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))))))

simplify48.0ms (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)))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
✓	0.1b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
	33.8b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 80 to 17 computations (78.8% saved)

series29.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	0	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
3.0ms	x.re	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
3.0ms	x.im	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
3.0ms	x.re	@	-inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
3.0ms	x.im	@	-inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`swap-sqr`
654×	`associate-*r/`
510×	`distribute-rgt-in`
464×	`distribute-lft-in`
446×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	360	84
2	4031	84

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs

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

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

Outputs

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

simplify194.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-l`
992×	`associate-/l*`
912×	`associate-+r+`
814×	`+-commutative`
776×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	912	27629
1	2756	27253

Stop Event

1×	node limit

Counts

205 → 341

Calls

Call 1

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

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

localize77.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	2.4b	(pow.f64 x.re 1/3)
✓	16.3b	(sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 126 to 52 computations (58.7% saved)

series163.0ms (0.5%)

Counts

2 → 8

Calls

15 calls:

Time	Variable		Point	Expression
154.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
2.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`distribute-rgt-in`
760×	`distribute-lft-in`
468×	`associate-*r/`
380×	`associate-*l/`
366×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	359	34
2	4422	34

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 x.re 1/3)

Outputs

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

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-/l*`
972×	`associate-+r+`
920×	`fma-def`
910×	`associate-+l+`
840×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	3089
1	424	3013
2	1572	2885
3	4286	2871

Stop Event

1×	node limit

Counts

55 → 91

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	1.4b	(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
✓	22.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))

Compiler

Compiled 120 to 17 computations (85.8% saved)

series5.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
840×	`swap-sqr`
546×	`sqr-pow`
538×	`pow-sqr`
482×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	307	52
2	3371	52

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1148×	`+-commutative`
892×	`associate-*r/`
880×	`associate-r`
872×	`associate-/r/`
738×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	525	12496
1	1441	11216
2	5603	11216

Stop Event

1×	node limit

Counts

170 → 301

Calls

Call 1

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

eval1.3s (4.5%)

Compiler: Compiled 126340 to 47488 computations (62.4% saved)

prune778.0ms (2.6%)

Pruning

60 alts after pruning (60 fresh and 0 done)

	Pruned	Kept	Total
New	1493	36	1529
Fresh	26	24	50
Picked	1	0	1
Done	4	0	4
Total	1524	60	1584

Error

3.1b

Counts

1584 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(pow.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)
	16.2b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 3)
	15.8b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	16.4b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2))))
	15.8b	(/.f64 1 (/.f64 (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 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	36.2b	(.f64 (pow.f64 (hypot.f64 x.re x.im) y.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)))))))
	46.4b	(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)) 2))))
	51.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))))
	18.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))
	10.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) y.im)))))
	10.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (pow.f64 (cbrt.f64 y.im) 2) (*.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.re x.im)))))))
▶	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))))))
	41.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 x.im)))))))
	42.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 3 (.f64 (log.f64 (pow.f64 x.im 1/3)) y.im)))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	44.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 x.re))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im))))
	44.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (*.f64 (log.f64 (cbrt.f64 x.re)) y.im))))
	42.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
	16.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
	43.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
	15.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))
	24.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	21.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	30.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
	35.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	41.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 1)))
	41.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
	43.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	29.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	23.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	28.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (fabs.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	15.8b	(.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
	48.7b	(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
	48.7b	(.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
	33.1b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
	16.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (cbrt.f64 (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))
	39.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
▶	4.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))
	16.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) 3))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	4.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2)) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))) (.f64 y.im y.im) (/.f64 y.im (/.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
	17.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) y.re)))))
	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))))
	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))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))))
	16.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fabs.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))
	13.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))))
	23.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
▶	55.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	55.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	53.2b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
▶	55.7b	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
	36.2b	(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
▶	15.8b	(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))

Compiler

Compiled 3890 to 2170 computations (44.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(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)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	33.8b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 173 to 23 computations (86.7% saved)

series23.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x.im	@	-inf	(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)
3.0ms	x.im	@	inf	(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)
2.0ms	x.re	@	0	(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)
2.0ms	x.im	@	0	(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)
2.0ms	x.re	@	-inf	(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)

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`unswap-sqr`
928×	`swap-sqr`
620×	`sqr-pow`
474×	`distribute-rgt-in`
430×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	35
1	372	35
2	3900	35

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(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)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 1 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1) (*.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (*.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6)) (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) 2) 3) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6)) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (*.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 1/6) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 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(*.f64 y.re (atan2.f64 x.im x.re))))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 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simplify328.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1065	51300
1	3926	48160

Stop Event

1×	node limit

Counts

82 → 131

Calls

Call 1

Inputs
(pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) 2)) 1/3)
(+.f64 (pow.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) 1/3) (.f64 (+.f64 (.f64 1/6 (.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 2)) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) 1/3) (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))))) (pow.f64 x.re 2)))
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x.re)))) 2) (pow.f64 y.im 2)) (pow.f64 x.im 4)) (pow.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1) (pow.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 4)) 1/3)))) (pow.f64 (/.f64 (.f64 1 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2)) 1/3))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) 2)) (pow.f64 x.im 4)))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re 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(-.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 (cbrt.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 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 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))
(.f64 (sqrt.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 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))
(.f64 (pow.f64 (cbrt.f64 (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 (pow.f64 (cbrt.f64 (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))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) 3) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (.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)))))
(.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))))))
(cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (log.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (log.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))

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

localize43.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.3b

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

✓

24.2b

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

✓

28.5b

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

Compiler

Compiled 60 to 11 computations (81.7% saved)

series20.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	y.im	@	0	(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
1.0ms	x.im	@	inf	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
1.0ms	x.re	@	inf	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
1.0ms	x.re	@	0	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
1.0ms	x.im	@	0	(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))

rewrite125.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	262	45
2	3318	45

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify271.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1186×	`+-commutative`
1036×	`associate-*r/`
894×	`associate-/r/`
848×	`associate-r`
786×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	550	10654
1	1549	9256
2	5693	9256

Stop Event

1×	node limit

Counts

186 → 347

Calls

Call 1

Inputs
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(*.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.re) y.im))
(+.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) y.im) (pow.f64 x.re 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (pow.f64 y.im 2)) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2)))))
(+.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) y.im) (pow.f64 x.re 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (pow.f64 y.im 2)) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (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 (log.f64 x.re) y.im)))) (pow.f64 x.im 6)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (sqrt.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (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.im 4) (pow.f64 x.re 4)))) (sqrt.f64 (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.im x.re) 2)))))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (-.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))) (cbrt.f64 (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (+.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))) (cbrt.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.im 4) (pow.f64 x.re 4)))) (sqrt.f64 (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))) (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.im 4) (pow.f64 x.re 4))) 1) (sqrt.f64 (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (.f64 x.im x.re) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (cbrt.f64 (hypot.f64 x.im x.re))) (cbrt.f64 (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (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)))))
(pow.f64 (pow.f64 (hypot.f64 x.im x.re) 2) 1/2)
(pow.f64 (hypot.f64 x.im x.re) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) 2)
(pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (hypot.f64 x.im x.re) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x.im x.re)))
(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))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(fabs.f64 (hypot.f64 x.im x.re))
(log.f64 (exp.f64 (hypot.f64 x.im x.re)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) 3))
(expm1.f64 (log1p.f64 (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.im x.re)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 2) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1)
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (hypot.f64 x.im x.re)))) (.f64 y.im (log.f64 (sqrt.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 y.im 0) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2))) (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.im) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.im))
(+.f64 (.f64 0 y.im) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2)) y.im) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1)
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))

Outputs
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)
(fma.f64 1/2 (*.f64 (/.f64 x.im 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))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (*.f64 (/.f64 x.im 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.re 5) (pow.f64 x.im 6))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (.f64 (/.f64 x.im x.re) x.im) x.re)) (.f64 (/.f64 1/16 (pow.f64 x.re 5)) (pow.f64 x.im 6)))
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)
(fma.f64 1/2 (*.f64 (/.f64 x.re 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))
(fma.f64 1/2 (*.f64 (/.f64 x.re 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)))
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (.f64 (/.f64 (.f64 x.re x.re) x.im) -1/2))
(fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))
(-.f64 (/.f64 (*.f64 x.re -1/2) (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(fma.f64 -1 x.im (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (.f64 (/.f64 (.f64 x.re x.re) x.im) -1/2)))
(-.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (*.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8)) x.im)
(-.f64 (fma.f64 (.f64 (/.f64 x.re x.im) x.re) -1/2 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8)) x.im)
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(fma.f64 -1 x.im (fma.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (.f64 (/.f64 (.f64 x.re x.re) x.im) -1/2))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (*.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8))) x.im)
(-.f64 (fma.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16 (fma.f64 (.f64 (/.f64 x.re x.im) x.re) -1/2 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8))) x.im)
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)
(fma.f64 1/2 (*.f64 (/.f64 x.re 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))
(fma.f64 1/2 (*.f64 (/.f64 x.re 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)))
(fma.f64 1/2 (*.f64 (/.f64 x.re 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)
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re)
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(neg.f64 x.re)
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(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
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(sin.f64 (*.f64 y.im (log.f64 x.re)))
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(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))))
(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 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (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))))
(fabs.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(log.f64 (exp.f64 (hypot.f64 x.im x.re)))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x.im x.re))))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) 3))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(expm1.f64 (log1p.f64 (hypot.f64 x.im x.re)))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(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.im x.re)))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 2) 1/2))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(log1p.f64 (expm1.f64 (hypot.f64 x.im x.re)))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1)
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) 2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) 2)))
(.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))) (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))) (pow.f64 (cbrt.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) 2)))
(pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2))
(fabs.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (hypot.f64 x.im x.re)))) (.f64 y.im (log.f64 (sqrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(+.f64 (.f64 y.im 0) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(+.f64 (.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2))) (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.im) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.im))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(+.f64 (.f64 0 y.im) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2)) y.im) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) y.im))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 2))
(fabs.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.re x.im) y.im)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
(.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))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.re x.im) y.im)))

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	7.1b	(/.f64 x.im (*.f64 x.re x.re))
	8.5b	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
	19.2b	(sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 170 to 50 computations (70.6% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
✓	0.4b	(log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	33.8b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 109 to 14 computations (87.2% saved)

series176.0ms (0.6%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
60.0ms	y.im	@	-inf	(log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
30.0ms	y.im	@	inf	(log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
20.0ms	y.re	@	inf	(log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
18.0ms	x.im	@	0	(log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
17.0ms	y.re	@	-inf	(log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`unswap-sqr`
1004×	`swap-sqr`
528×	`distribute-rgt-in`
482×	`distribute-lft-in`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	333	57
2	3969	57

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify289.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1204×	`times-frac`
830×	`distribute-lft-in`
826×	`distribute-rgt-in`
784×	`associate-/l*`
784×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	835	33282
1	2641	32430

Stop Event

1×	node limit

Counts

70 → 132

Calls

Call 1

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

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

localize70.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.6b	(cbrt.f64 (hypot.f64 x.im x.re))
✓	33.7b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))

Compiler

Compiled 123 to 34 computations (72.4% saved)

series30.0ms (0.1%)

Counts

2 → 52

Calls

21 calls:

Time	Variable		Point	Expression
22.0ms	y.im	@	0	(.f64 (.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))
1.0ms	x.re	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
1.0ms	x.im	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
1.0ms	x.re	@	inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
1.0ms	x.im	@	-inf	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))

rewrite110.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`unswap-sqr`
974×	`swap-sqr`
610×	`sqr-pow`
518×	`distribute-rgt-in`
472×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	329	72
2	3809	72

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify133.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1182×	`unswap-sqr`
860×	`distribute-lft-in`
842×	`distribute-rgt-in`
718×	`associate-/r*`
674×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	7805
1	905	6949
2	3346	6729

Stop Event

1×	node limit

Counts

103 → 158

Calls

Call 1

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

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

eval2.6s (8.8%)

Compiler: Compiled 151891 to 64012 computations (57.9% saved)

prune825.0ms (2.7%)

Pruning

76 alts after pruning (75 fresh and 1 done)

	Pruned	Kept	Total
New	1677	41	1718
Fresh	21	34	55
Picked	0	1	1
Done	4	0	4
Total	1702	76	1778

Error

3.1b

Counts

1778 → 76

Alt Table

Click to see full alt table

Status	Error	Program
	51.2b	(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
	47.4b	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
	15.8b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	16.4b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2))))
	15.8b	(/.f64 1 (/.f64 (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 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	46.4b	(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	30.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))) 1))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)) 2))))
	51.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))))
	18.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))))
	10.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (pow.f64 (cbrt.f64 y.im) 2) (*.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.re x.im)))))))
	10.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 3 y.im) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))))
✓	9.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
	41.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 3 y.im) (log.f64 (cbrt.f64 x.im))))))
	10.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 3 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))))
	18.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fabs.f64 (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	44.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 x.re))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im))))
	43.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
	15.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))
	35.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	41.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
	43.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	29.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	15.8b	(.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
	48.7b	(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
	48.7b	(.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
	33.1b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
	16.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (cbrt.f64 (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))
	39.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	11.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) 3))
	16.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (fabs.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) 3))
	18.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	11.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	4.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2)) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))) (.f64 y.im y.im) (/.f64 y.im (/.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
	17.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) y.re)))))
	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))))
	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))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))))
	13.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))))
	57.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)))))
	46.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	53.2b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
	51.6b	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
	59.8b	(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
	58.2b	(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
	61.8b	(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
	57.2b	(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
	47.3b	(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
	57.2b	(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
	61.2b	(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
	49.4b	(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
	47.1b	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2)) y.im) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) y.im)))
	56.7b	(sin.f64 (*.f64 (log.f64 x.re) y.im))
	59.5b	(sin.f64 (*.f64 (log.f64 x.im) y.im))
	59.5b	(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
	60.7b	(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
	47.1b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
	60.1b	(sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
	57.3b	(sin.f64 (.f64 y.im (log.f64 (+.f64 x.re (.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re))))))
	59.1b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
	59.9b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
	52.2b	(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
	47.6b	(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	57.5b	(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	46.0b	(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
	46.2b	(sin.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3))))
	50.2b	(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
	48.9b	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	48.9b	(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	29.7b	(expm1.f64 (sqrt.f64 (pow.f64 (log1p.f64 (.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))))))) 2)))
	16.2b	(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))))
	47.1b	(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	53.8b	(expm1.f64 (log.f64 (+.f64 1 (.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	55.6b	(expm1.f64 (log.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)))))

Compiler

Compiled 1999 to 1189 computations (40.5% saved)

regimes439.0ms (1.5%)

Counts

148 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.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)))) (pow.f64 x.im y.re))
(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.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.im x.re)) 3) (pow.f64 y.im 3))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 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 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(.f64 (exp.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 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2)) y.im) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (fabs.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (*.f64 (log.f64 (cbrt.f64 x.re)) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (cbrt.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 (fma.f64 (log.f64 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) 1) (sin.f64 (-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 1)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 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 (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))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.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)))))))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 3)
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 2))))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1))))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 (/.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 3 (*.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))
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(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (/.f64 (-.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 (/.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 3 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))))
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(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 3 y.im) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))) 1))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) y.re)))))
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(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (*.f64 3 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))))))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))))
(.f64 (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))) (expm1.f64 (+.f64 (log1p.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2)) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))) (.f64 y.im y.im) (/.f64 y.im (/.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (log1p.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 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))) (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:

99.0ms	y.re
89.0ms	x.re
89.0ms	x.im
66.0ms	y.im
30.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
3.7b	1	`x.re`
3.7b	1	`x.im`
3.7b	1	`y.re`
3.7b	1	`y.im`
3.7b	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 3774 to 933 computations (75.3% saved)

regimes694.0ms (2.3%)

Counts

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

Outputs

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

(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))))

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

Calls

5 calls:

167.0ms	x.im
157.0ms	y.im
151.0ms	y.re
135.0ms	x.re
30.0ms	(.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
8.3b	2	`x.re`
6.9b	3	`x.im`
7.8b	3	`y.re`
3.7b	3	`y.im`
7.4b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1749 to 530 computations (69.7% saved)

bsearch93.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	1.0552530367481082e-74	1.829102718341288e-71
33.0ms	-8.740271000797305e-14	-9.138975857300042e-17

Results

84.0ms	256×	body	256	valid
2.0ms	5×	body	512	infinite
1.0ms	2×	body	1024	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 912 to 601 computations (34.1% saved)

regimes534.0ms (1.8%)

Counts

75 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.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)))) (pow.f64 x.im y.re))
(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.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.im x.re)) 3) (pow.f64 y.im 3))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 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 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(.f64 (exp.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 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2)) y.im) (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (fabs.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fabs.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 3 (*.f64 (log.f64 (cbrt.f64 x.re)) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))

Outputs

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

154.0ms	x.im
142.0ms	y.re
127.0ms	y.im
62.0ms	x.re

Results

Error	Segments	Branch
11.4b	1	`x.re`
6.9b	3	`x.im`
7.8b	3	`y.re`
3.7b	3	`y.im`

Compiler

Compiled 1352 to 435 computations (67.8% saved)

bsearch80.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	1.0552530367481082e-74	1.829102718341288e-71
31.0ms	-8.740271000797305e-14	-9.138975857300042e-17

Results

51.0ms	240×	body	256	valid
2.0ms	3×	body	1024	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 783 to 475 computations (39.3% saved)

regimes466.0ms (1.5%)

Counts

62 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.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)))) (pow.f64 x.im y.re))
(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.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.im x.re)) 3) (pow.f64 y.im 3))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 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 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
(.f64 (exp.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))) (*.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 (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:

208.0ms	x.im
110.0ms	y.im
96.0ms	y.re
31.0ms	x.re

Results

Error	Segments	Branch
15.8b	1	`x.re`
11.9b	5	`x.im`
12.7b	2	`y.re`
4.4b	3	`y.im`

Compiler

Compiled 1045 to 364 computations (65.2% saved)

bsearch125.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	0.015559887615254927	970172520.8495988
54.0ms	-214456021286.20197	-3.6392463974716886e-7

Results

98.0ms	320×	body	256	valid
18.0ms	81×	body	256	infinite
3.0ms	4×	body	1024	infinite
2.0ms	4×	body	512	infinite

Compiler

Compiled 1008 to 585 computations (42% saved)

regimes459.0ms (1.5%)

Counts

61 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.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)))) (pow.f64 x.im y.re))
(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.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.im x.re)) 3) (pow.f64 y.im 3))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 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 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))

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)))) (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:

184.0ms	x.im
116.0ms	y.re
77.0ms	y.im
28.0ms	x.re

Results

Error	Segments	Branch
15.8b	1	`x.re`
11.9b	5	`x.im`
12.7b	2	`y.re`
4.4b	3	`y.im`

Compiler

Compiled 1024 to 361 computations (64.7% saved)

bsearch112.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.015559887615254927	970172520.8495988
66.0ms	-214456021286.20197	-3.6392463974716886e-7

Results

90.0ms	320×	body	256	valid
13.0ms	61×	body	256	infinite
1.0ms	2×	body	1024	infinite
1.0ms	3×	body	512	infinite

Compiler

Compiled 988 to 565 computations (42.8% saved)

regimes821.0ms (2.7%)

Counts

56 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.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)))) (pow.f64 x.im y.re))
(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.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.im x.re)) 3) (pow.f64 y.im 3))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))

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

Calls

4 calls:

320.0ms	x.im
232.0ms	y.im
129.0ms	x.re
122.0ms	y.re

Results

Error	Segments	Branch
15.9b	2	`x.re`
12.8b	7	`x.im`
13.3b	3	`y.re`
8.8b	7	`y.im`

Compiler

Compiled 929 to 343 computations (63.1% saved)

bsearch334.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
49.0ms	0.015559887615254927	970172520.8495988
29.0ms	2.3037449637427059e-234	1.0900692350129634e-232
46.0ms	-5.167935758207023e-301	-7.713365598933643e-302
34.0ms	-5.2129597342606e-181	-5.860412195345489e-183
92.0ms	-2.266897876664966e-133	-1.9318945682399718e-138
85.0ms	-214456021286.20197	-3.6392463974716886e-7

Results

266.0ms	784×	body	256	valid
13.0ms	61×	body	256	infinite
7.0ms	11×	body	1024	infinite
4.0ms	9×	body	512	infinite
1.0ms	1×	body	2048	infinite

Compiler

Compiled 2155 to 1400 computations (35% saved)

regimes505.0ms (1.7%)

Counts

51 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.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)))) (pow.f64 x.im y.re))
(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 y.re (.f64 x.re x.re)) x.im)) (neg.f64 (.f64 (log.f64 x.im) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.re) (/.f64 (.f64 x.im (.f64 x.im y.re)) x.re)) (neg.f64 (.f64 y.re (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 y.re (/.f64 (.f64 x.re x.re) x.im)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (-.f64 (.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.im x.re)) 3) (pow.f64 y.im 3))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)))))
(expm1.f64 (log.f64 (+.f64 1 (.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) 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))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 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))) (.f64 y.re (atan2.f64 x.im x.re)))

Calls

4 calls:

208.0ms	x.im
166.0ms	y.im
65.0ms	y.re
47.0ms	x.re

Results

Error	Segments	Branch
16.0b	2	`x.re`
12.8b	7	`x.im`
13.4b	3	`y.re`
8.8b	7	`y.im`

Compiler

Compiled 800 to 305 computations (61.9% saved)

bsearch285.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
55.0ms	0.015559887615254927	970172520.8495988
28.0ms	2.3037449637427059e-234	1.0900692350129634e-232
53.0ms	-5.167935758207023e-301	-7.713365598933643e-302
27.0ms	-5.2129597342606e-181	-5.860412195345489e-183
60.0ms	-2.266897876664966e-133	-1.9318945682399718e-138
62.0ms	-214456021286.20197	-3.6392463974716886e-7

Results

254.0ms	784×	body	256	valid
9.0ms	14×	body	1024	infinite
7.0ms	34×	body	256	infinite
2.0ms	2×	body	2048	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 2059 to 1368 computations (33.6% saved)

regimes422.0ms (1.4%)

Counts

38 → 6

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

Calls

4 calls:

168.0ms	y.im
89.0ms	y.re
79.0ms	x.im
73.0ms	x.re

Results

Error	Segments	Branch
22.0b	3	`x.re`
18.9b	4	`x.im`
19.8b	3	`y.re`
17.4b	6	`y.im`

Compiler

Compiled 485 to 199 computations (59% saved)

bsearch229.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
98.0ms	3.476643602650293e+80	4.717227008434565e+91
29.0ms	2.3037449637427059e-234	1.0900692350129634e-232
37.0ms	-5.167935758207023e-301	-7.713365598933643e-302
29.0ms	-5.2129597342606e-181	-5.860412195345489e-183
36.0ms	-2.266897876664966e-133	-1.9318945682399718e-138

Results

140.0ms	597×	body	256	valid
60.0ms	78×	body	512	infinite
10.0ms	27×	body	512	valid
5.0ms	4×	body	2048	infinite
4.0ms	6×	body	1024	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 1609 to 1088 computations (32.4% saved)

regimes274.0ms (0.9%)

Counts

37 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.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)))) (pow.f64 x.im y.re))
(.f64 (pow.f64 x.re y.re) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
(sin.f64 (sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2)))
(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Outputs

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

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

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

Calls

4 calls:

99.0ms	y.re
78.0ms	y.im
51.0ms	x.re
34.0ms	x.im

Results

Error	Segments	Branch
22.0b	3	`x.re`
21.3b	2	`x.im`
19.8b	3	`y.re`
20.2b	5	`y.im`

Compiler

Compiled 467 to 195 computations (58.2% saved)

bsearch94.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	4.726965051154005e-43	2.7894160075471836e-40
51.0ms	-1.7834097609103583e-88	-5.744558584144429e-98

Results

64.0ms	246×	body	256	valid
13.0ms	15×	body	1024	valid
4.0ms	11×	body	512	valid
4.0ms	7×	body	1024	infinite
3.0ms	12×	body	256	infinite
1.0ms	3×	body	512	infinite

Compiler

Compiled 575 to 399 computations (30.6% saved)

regimes147.0ms (0.5%)

Counts

16 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(sin.f64 (*.f64 y.im (log.f64 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (neg.f64 x.re)))))
(sin.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 x.im x.im) y.im) (.f64 x.re x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (fma.f64 (neg.f64 y.im) (log.f64 (/.f64 -1 x.re)) (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(sin.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))

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

Calls

4 calls:

52.0ms	y.im
40.0ms	x.re
25.0ms	y.re
24.0ms	x.im

Results

Error	Segments	Branch
44.6b	4	`x.re`
45.7b	3	`x.im`
36.2b	3	`y.re`
42.9b	5	`y.im`

Compiler

Compiled 213 to 118 computations (44.6% saved)

bsearch125.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
86.0ms	1.1793751542323296e-12	2200.287196129862
39.0ms	-3.4746498639561796e-20	-1.1461744657459675e-22

Results

64.0ms	277×	body	256	valid
30.0ms	129×	body	256	infinite
15.0ms	20×	body	1024	infinite
6.0ms	12×	body	512	infinite
5.0ms	8×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 462 to 331 computations (28.4% saved)

regimes52.0ms (0.2%)

Counts

9 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))

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

Calls

4 calls:

17.0ms	y.re
16.0ms	x.im
10.0ms	x.re
6.0ms	y.im

Results

Error	Segments	Branch
48.0b	2	`x.re`
49.1b	2	`x.im`
44.9b	3	`y.re`
50.2b	1	`y.im`

Compiler

Compiled 114 to 72 computations (36.8% saved)

bsearch72.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	3.9345030451761544e-44	3.415094905232953e-43
44.0ms	-1.7834097609103583e-88	-5.744558584144429e-98

Results

53.0ms	225×	body	256	valid
7.0ms	11×	body	1024	valid
3.0ms	4×	body	512	valid
3.0ms	4×	body	1024	infinite
2.0ms	6×	body	512	infinite
1.0ms	6×	body	256	infinite

Compiler

Compiled 363 to 265 computations (27% saved)

regimes60.0ms (0.2%)

Counts

8 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))

Outputs
(sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (*.f64 (log.f64 x.re) y.im))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
(sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))
(sin.f64 (*.f64 (log.f64 x.im) y.im))

Calls

4 calls:

25.0ms	x.im
15.0ms	y.im
10.0ms	x.re
7.0ms	y.re

Results

Error	Segments	Branch
51.8b	2	`x.re`
51.0b	5	`x.im`
56.7b	1	`y.re`
55.6b	3	`y.im`

Compiler

Compiled 108 to 69 computations (36.1% saved)

bsearch245.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
73.0ms	1.1521078205956375e-148	3.4366794980004906e-143
60.0ms	-1.043288807460235e-219	-6.81009298222438e-227
55.0ms	-1.1413177350354587e-128	-3.610230494172596e-133
57.0ms	-1.632997008797231e+144	-8.12930581092606e+135

Results

111.0ms	515×	body	256	valid
69.0ms	87×	body	1024	infinite
20.0ms	20×	body	1024	valid
16.0ms	41×	body	512	infinite
10.0ms	10×	body	2048	valid
6.0ms	15×	body	512	valid
3.0ms	16×	body	256	infinite
1.0ms	1×	body	2048	infinite

Compiler

Compiled 1071 to 773 computations (27.8% saved)

regimes52.0ms (0.2%)

Counts

7 → 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))))
(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 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 x.im (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))

Outputs
(sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im))))
(sin.f64 (*.f64 (log.f64 x.re) y.im))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
(sin.f64 (*.f64 (log.f64 x.re) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))

Calls

4 calls:

21.0ms	x.im
14.0ms	y.im
9.0ms	x.re
5.0ms	y.re

Results

Error	Segments	Branch
51.8b	2	`x.re`
51.0b	5	`x.im`
56.7b	1	`y.re`
55.6b	3	`y.im`

Compiler

Compiled 90 to 60 computations (33.3% saved)

bsearch200.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
53.0ms	1.1521078205956375e-148	3.4366794980004906e-143
53.0ms	-1.043288807460235e-219	-6.81009298222438e-227
45.0ms	-1.1413177350354587e-128	-3.610230494172596e-133
49.0ms	-1.632997008797231e+144	-8.12930581092606e+135

Results

109.0ms	533×	body	256	valid
49.0ms	75×	body	1024	infinite
12.0ms	31×	body	512	infinite
11.0ms	16×	body	1024	valid
4.0ms	3×	body	2048	infinite
4.0ms	10×	body	512	valid
3.0ms	16×	body	256	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 837 to 647 computations (22.7% saved)

regimes45.0ms (0.1%)

Counts

5 → 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))))
(sin.f64 (.f64 y.im (log.f64 (+.f64 x.re (.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re))))))

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

Calls

4 calls:

19.0ms	x.im
11.0ms	y.im
8.0ms	x.re
5.0ms	y.re

Results

Error	Segments	Branch
51.8b	2	`x.re`
51.1b	5	`x.im`
56.7b	1	`y.re`
55.6b	3	`y.im`

Compiler

Compiled 59 to 42 computations (28.8% saved)

bsearch206.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
64.0ms	1.1521078205956375e-148	3.4366794980004906e-143
58.0ms	-1.043288807460235e-219	-6.81009298222438e-227
47.0ms	-1.1413177350354587e-128	-3.610230494172596e-133
37.0ms	-7.630975535359394e+107	-1.7956183433244585e+107

Results

99.0ms	475×	body	256	valid
52.0ms	84×	body	1024	infinite
15.0ms	37×	body	512	infinite
14.0ms	18×	body	1024	valid
8.0ms	21×	body	256	infinite
6.0ms	14×	body	512	valid
5.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	infinite

Compiler

Compiled 711 to 560 computations (21.2% saved)

regimes25.0ms (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:

11.0ms	x.im
6.0ms	x.re
4.0ms	y.im
3.0ms	y.re

Results

Error	Segments	Branch
54.2b	2	`x.re`
52.3b	3	`x.im`
56.7b	1	`y.re`
56.7b	1	`y.im`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch97.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	1.1521078205956375e-148	3.4366794980004906e-143
36.0ms	-7.630975535359394e+107	-1.7956183433244585e+107

Results

55.0ms	226×	body	256	valid
20.0ms	31×	body	1024	infinite
7.0ms	16×	body	512	infinite
4.0ms	6×	body	1024	valid
3.0ms	14×	body	256	infinite
3.0ms	7×	body	512	valid
1.0ms	1×	body	2048	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 354 to 271 computations (23.4% saved)

regimes20.0ms (0.1%)

Accuracy

Total -9.3b remaining (-17.2%)

Threshold costs -9.3b (-17.2%)

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:

6.0ms	x.re
5.0ms	x.im
4.0ms	y.re
3.0ms	y.im

Results

Error	Segments	Branch
54.2b	2	`x.re`
53.9b	2	`x.im`
56.7b	1	`y.re`
56.7b	1	`y.im`

Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch56.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
56.0ms	1.1521078205956375e-148	3.4366794980004906e-143

Results

31.0ms	132×	body	256	valid
11.0ms	17×	body	1024	infinite
6.0ms	14×	body	512	infinite
3.0ms	5×	body	1024	valid
2.0ms	5×	body	512	valid
2.0ms	2×	body	2048	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 228 to 169 computations (25.9% saved)

simplify278.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

524×	`distribute-lft-neg-in`
462×	`*-commutative`
248×	`distribute-rgt-neg-in`
204×	`+-commutative`
192×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	214	2485
1	288	2481
2	324	2481
3	358	2481
4	381	2481
5	421	2481
6	483	2481
7	606	2481
8	742	2481
9	834	2481
10	904	2481
11	970	2481
12	1015	2481
13	1053	2481
14	1083	2481
15	1131	2481
16	1191	2481
17	1235	2481
18	1265	2481
19	1308	2481
20	1357	2481
21	1379	2481
22	1389	2481
23	1401	2481
24	1416	2481
25	1423	2481
26	1425	2481

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -7463926734143815/81129638414606681695789005144064) (.f64 (exp.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 279744320480505/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -6977148903656175/40564819207303340847894502572032) (.f64 (exp.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 279744320480505/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (.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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -1300) (.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 5200) (.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))) (sin.f64 (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -3600) (.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 600) (.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 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -13000) (.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 -6871501564095581/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -4485061624747323/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (.f64 (exp.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 -3076349174580825/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8054691727071083/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 1850) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 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))) (.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 y.im -240) (.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 -6871501564095581/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -4485061624747323/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3076349174580825/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 2936606358827999/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 500) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 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))) (.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 y.im -8510815580529969/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -4784065733063811/598008216632976371697735644702348584536405246902083247220875921706093794716375762404103004004990504111786204800430166155026589905240121409306972824498630058082565445957748647537262486126146850127872) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3076349174580825/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 573337431961657/6991919901971426075297554671307333615898862102580725715195666431228287110681861367027657291461090911970058473930419853533788296083269867358507086435928852446414275954096487329654980776728266302794199220759703429559553357814144917874843453883416576) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 1199999999999999907128892728160827038207957789005178831916589389877570754500990278303744) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 y.re -2770453560683987/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 3013008832985607/6277101735386680763835789423207666416102355444464034512896) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -1412304745521473/41538374868278621028243970633760768) (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) (if (<=.f64 y.re 19/2) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(if (<=.f64 y.re -1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) (if (<=.f64 y.re 8034690221294951/25108406941546723055343157692830665664409421777856138051584) (sin.f64 (*.f64 (log.f64 x.re) y.im)) (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(if (<=.f64 x.im -15499999999999999166274281977483887603220725337007806628993845835814351934988348529795256943472353689185633618485325404799402179001581568) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im)))) (if (<=.f64 x.im -2557336412418861/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (sin.f64 (.f64 (log.f64 x.re) y.im)) (if (<=.f64 x.im -1780551949697837/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (if (<=.f64 x.im 6118522760578747/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (sin.f64 (-.f64 (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (.f64 y.im (neg.f64 (log.f64 x.re))))) (sin.f64 (.f64 (log.f64 x.im) y.im))))))
(if (<=.f64 x.im -1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840) (sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 x.re -1/2) (/.f64 x.im x.re)) x.im)))) (if (<=.f64 x.im -3036836989747397/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (sin.f64 (.f64 (log.f64 x.re) y.im)) (if (<=.f64 x.im -2384667789773889/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (if (<=.f64 x.im 1304685000417527/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (.f64 (log.f64 x.im) y.im))))))
(if (<=.f64 x.im -179999999999999987867976160383513094124642081400293325567260721424028743210357723777437045069035132862595072) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (if (<=.f64 x.im -8183476519740355/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (sin.f64 (.f64 (log.f64 x.re) y.im)) (if (<=.f64 x.im -7084765334934845/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (if (<=.f64 x.im 5758609657015291/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (*.f64 (log.f64 x.im) y.im))))))
(if (<=.f64 x.im -199999999999999993762768094059853966870742538122559378813288423505583050273341290790508004790791769610518528) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (if (<=.f64 x.im 5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (*.f64 (log.f64 x.im) y.im))))
(if (<=.f64 x.im 6298479312360475/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (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) (.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 -7463926734143815/81129638414606681695789005144064) (.f64 (exp.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 279744320480505/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (or (<=.f64 y.im -7463926734143815/81129638414606681695789005144064) (not (<=.f64 y.im 279744320480505/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408))) (.f64 (exp.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 (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 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.im -6977148903656175/40564819207303340847894502572032) (.f64 (exp.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 279744320480505/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (.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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (or (<=.f64 y.im -6977148903656175/40564819207303340847894502572032) (not (<=.f64 y.im 279744320480505/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408))) (.f64 (exp.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)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(if (<=.f64 y.im -1300) (.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 5200) (.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))) (sin.f64 (fabs.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
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(if (<=.f64 x.im 6298479312360475/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (sin.f64 (.f64 (log.f64 x.re) y.im)) (sin.f64 (.f64 (log.f64 x.im) y.im)))
(if (<=.f64 x.im 6298479312360475/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (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 932 to 439 computations (52.9% saved)

soundness420.0ms (1.4%)

Algorithm

4×	egg-herbie

Rules

1704×	`unswap-sqr`
1704×	`unswap-sqr`
1366×	`associate-+r+`
1106×	`+-commutative`
1098×	`+-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	610	13752
1	1649	12466
2	6115	12460

Stop Event

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

Compiler

Compiled 890 to 247 computations (72.2% saved)

end236.0ms (0.8%)

Compiler: Compiled 868 to 226 computations (74% saved)