Details

analyze411.0ms (2.4%)

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)

sample5.1s (30.3%)

Results

2.1s	7936×	body	256	valid
1.9s	2417×	body	1024	infinite
485.0ms	988×	body	512	infinite
255.0ms	1021×	body	256	infinite
161.0ms	146×	body	1024	valid
98.0ms	159×	body	512	valid
71.0ms	15×	body	2048	valid
51.0ms	36×	body	2048	infinite

Bogosity

preprocess109.0ms (0.6%)

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

simplify92.0ms (0.5%)

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

4.28%

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.98%	(/.f64 (cos.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)))
▶	13.98%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	4.31%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	56.13%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 129 to 64 computations (50.4% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	2.25%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	47.91%	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
✓	50.77%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series21.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

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

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`associate-*r/`
794×	`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	5012	68

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

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

simplify184.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1232×	`associate-+l+`
1094×	`+-commutative`
920×	`associate-r`
834×	`associate-+r+`
722×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	556	14652
1	1557	13328
2	6186	13328

Stop Event

1×	node limit

Counts

224 → 280

Calls

Call 1

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

Outputs
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (/.f64 -1/2 (/.f64 x.re (*.f64 x.im 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 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8)))
(fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (-.f64 (*.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8) x.re))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (-.f64 (*.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8) x.re)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im))
(fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 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 -1/2 (.f64 x.re x.re)) x.im)))
(-.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (/.f64 (*.f64 (pow.f64 x.re 4) 1/8) (pow.f64 x.im 3))) 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 -1/2 (.f64 x.re x.re)) x.im))))
(-.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) 1/8) (pow.f64 x.im 3)))) x.im)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(+.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 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (.f64 x.im x.im) (.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)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 y.im x.re) x.re) x.im) (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(+.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 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (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) (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 -1/4 (/.f64 (.f64 (sin.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 (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (.f64 x.im x.im) (.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 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 1/4 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 (pow.f64 x.im 4) y.im))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 y.im x.re) x.re) x.im) (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (.f64 1/4 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(+.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 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.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 6))) (.f64 (sin.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))))))) (+.f64 (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) (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 -1/4 (/.f64 (.f64 (sin.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))))))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 x.re x.re) y.im))) (fma.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (.f64 y.im y.im)) (pow.f64 x.im 6))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (fma.f64 1/6 (/.f64 y.im (pow.f64 x.im 6)) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (+.f64 (cos.f64 (fma.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 y.im y.im) (/.f64 (pow.f64 x.im 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 1/4 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (/.f64 (pow.f64 x.im 4) y.im))))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 y.im x.re) x.re) x.im) (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (fma.f64 (pow.f64 x.re 6) (-.f64 (/.f64 (.f64 (.f64 1/8 (.f64 y.im y.im)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6)) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)) (/.f64 (.f64 y.im 1/6) (pow.f64 x.im 6))))) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (.f64 1/4 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
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(-.f64 (.f64 (cos.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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
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(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 (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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
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(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 (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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
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(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
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(-.f64 (.f64 (cos.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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 (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 (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 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (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)) (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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(-.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 (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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)
(cos.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))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (.f64 (sin.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 (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 (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 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.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))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(cos.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))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.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))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (fma.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.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))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2)
(cos.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))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 3)
(cos.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))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (cos.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)
(cos.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))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
(sqrt.f64 (pow.f64 (cos.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 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.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))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cos.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))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3))
(cos.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))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.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))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.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))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(cos.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))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.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))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (.f64 (cos.f64 (.f64 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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3) 1/3)
(*.f64 y.re (atan2.f64 x.im x.re))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2))
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(fabs.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3))
(*.f64 y.re (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 1))
(*.f64 y.re (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 2))
(fabs.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(exp.f64 (.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	47.91%	(cos.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)

series45.0ms (0.3%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
34.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
2.0ms	x.re	@	-inf	(cos.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	(cos.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	(cos.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	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

rewrite142.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`unswap-sqr`
890×	`swap-sqr`
552×	`sqr-pow`
546×	`pow-sqr`
466×	`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 → 64

Calls

Call 1

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

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

simplify175.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-+l+`
984×	`+-commutative`
888×	`associate-*r/`
876×	`associate-r`
750×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	487	10462
1	1374	9556
2	5505	9556

Stop Event

1×	node limit

Counts

132 → 253

Calls

Call 1

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

localize116.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7%	(exp.f64 (atan2.f64 x.im x.re))
✓	1.14%	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
	47.91%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series107.0ms (0.6%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
33.0ms	x.re	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
24.0ms	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)
12.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
11.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite114.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1624×	`fma-def`
1322×	`associate-r`
1062×	`associate-l`
912×	`distribute-lft-in`
892×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1340
1	213	1336
2	778	1328
3	3615	1316

Stop Event

1×	node limit

Counts

72 → 57

Calls

Call 1

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

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

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7%	(exp.f64 (atan2.f64 x.im x.re))
	1.14%	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
	47.91%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

eval762.0ms (4.5%)

Compiler: Compiled 59495 to 17189 computations (71.1% saved)

prune377.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1049	14	1063
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1053	14	1067

Error

2.94%

Counts

1067 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	23.54%	(/.f64 (cos.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 (atan2.f64 x.im x.re) y.im) 1) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	24.11%	(/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
▶	14.34%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	14.34%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	28.65%	(.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))
	4.32%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	47.64%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	4.29%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	4.22%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	74.45%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	29.72%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	29.65%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	29.63%	(.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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	82.69%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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 900 to 508 computations (43.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	0.51%	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	33.44%	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 95 to 16 computations (83.2% saved)

series22.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	y.im	@	0	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
2.0ms	x.im	@	-inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
2.0ms	x.re	@	0	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
1.0ms	x.im	@	inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
1.0ms	x.re	@	inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-+l+`
876×	`associate-/r/`
874×	`associate-*r/`
838×	`+-commutative`
656×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	357	7215
1	1036	6569
2	4316	6569

Stop Event

1×	node limit

Counts

103 → 220

Calls

Call 1

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

Outputs
1
(+.f64 1 (.f64 -1/2 (.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 1 (.f64 (.f64 -1/2 (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 2)))
(fma.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) 1)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (+.f64 1 (.f64 -1/2 (.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 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) (+.f64 1 (.f64 (.f64 -1/2 (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))))
(fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) (fma.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) 1))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (+.f64 1 (.f64 -1/2 (.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 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 6)) (fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) (+.f64 1 (.f64 (.f64 -1/2 (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 2)))))
(fma.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 6)) (fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) (fma.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) 1)))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 -1/2 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) x.re)) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.im x.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) y.im) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(fma.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.re 4) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (.f64 1/4 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)))) (pow.f64 x.im 4) (fma.f64 -1/2 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)) 1/4)) (pow.f64 x.im 4) (fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) x.re)) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) 1/4) (/.f64 (pow.f64 x.re 4) y.im))) (pow.f64 x.im 4) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.im x.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(+.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.im (log.f64 x.re)))) (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)))) (sin.f64 (.f64 (log.f64 x.re) y.im)))) (pow.f64 x.im 6)) (+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) y.im) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (.f64 y.im (log.f64 x.re))))))
(fma.f64 (-.f64 (.f64 1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.re 6) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6)) (.f64 1/6 (/.f64 y.im (pow.f64 x.re 6)))))) (pow.f64 x.im 6) (fma.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.re 4) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (.f64 1/4 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)))) (pow.f64 x.im 4) (fma.f64 -1/2 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (.f64 y.im (log.f64 x.re))))))
(fma.f64 (-.f64 (.f64 1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 6)) (cos.f64 (.f64 y.im (log.f64 x.re))))) (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6)) (/.f64 1/6 (/.f64 (pow.f64 x.re 6) y.im))))) (pow.f64 x.im 6) (fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)) 1/4)) (pow.f64 x.im 4) (fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.im x.im)) x.re) (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) x.re)) (cos.f64 (.f64 y.im (log.f64 x.re))))))
(fma.f64 (-.f64 (.f64 1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 6)) (cos.f64 (.f64 y.im (log.f64 x.re))))) (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6)) (/.f64 1/6 (/.f64 (pow.f64 x.re 6) y.im))))) (pow.f64 x.im 6) (fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) 1/4) (/.f64 (pow.f64 x.re 4) y.im))) (pow.f64 x.im 4) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.im x.re)) (sin.f64 (.f64 y.im (log.f64 x.re)))) (cos.f64 (.f64 y.im (log.f64 x.re))))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 -1/2 (/.f64 (.f64 (sin.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 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (.f64 -1/2 (/.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (.f64 x.im x.im) (.f64 y.im (.f64 x.re x.re))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 x.re (.f64 x.re y.im)) x.im) (/.f64 (neg.f64 (sin.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) x.im)) (cos.f64 (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(fma.f64 -1/2 (.f64 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (sin.f64 (.f64 y.im (neg.f64 (neg.f64 (log.f64 x.im)))))) (cos.f64 (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(-.f64 (+.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.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 -1/8 (/.f64 (.f64 (cos.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 -1/4 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))))
(+.f64 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (-.f64 (fma.f64 -1/2 (/.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (.f64 x.im x.im) (.f64 y.im (.f64 x.re x.re)))) (.f64 -1/8 (/.f64 (cos.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) (.f64 (.f64 y.im y.im) (pow.f64 x.re 4)))))) (.f64 -1/4 (/.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (/.f64 (pow.f64 x.im 4) (.f64 y.im (pow.f64 x.re 4)))))))
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(+.f64 (fma.f64 -1/2 (.f64 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (sin.f64 (.f64 y.im (neg.f64 (neg.f64 (log.f64 x.im)))))) (cos.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))) (+.f64 (.f64 (/.f64 -1/8 (pow.f64 x.im 4)) (.f64 (.f64 y.im y.im) (.f64 (pow.f64 x.re 4) (cos.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))))) (.f64 (.f64 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.im) (sin.f64 (.f64 y.im (neg.f64 (neg.f64 (log.f64 x.im)))))) 1/4)))
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(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2))
(fabs.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 0))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 0))
(log1p.f64 (+.f64 -1 (pow.f64 (hypot.f64 x.im x.re) y.im)))

localize285.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	28.09%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 85 to 14 computations (83.5% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

22 → 33

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7%	(exp.f64 (atan2.f64 x.im x.re))
	1.14%	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
	28.09%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 71 to 13 computations (81.7% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
	2.25%	(*.f64 (atan2.f64 x.im x.re) y.re)
	47.91%	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	50.77%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
	2.25%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	47.84%	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	50.77%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 193 to 45 computations (76.7% saved)

series80.0ms (0.5%)

Counts

1 → 32

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
9.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`distribute-rgt-in`
732×	`distribute-lft-in`
482×	`associate-*r/`
402×	`associate-*l/`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	356	35
2	4214	35

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Outputs

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

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-*r/`
1148×	`associate-*l/`
936×	`associate-r`
674×	`+-commutative`
666×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	9090
1	1295	7932
2	5205	7896

Stop Event

1×	node limit

Counts

70 → 107

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (*.f64 (pow.f64 1 1/3) x.im)) y.im)))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 x.re 2) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) y.im))) x.im))))
(+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 y.im 2))) (pow.f64 x.im 2)))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 x.im 2)))) (.f64 24 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (.f64 (pow.f64 (.f64 1 x.im) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)))))) x.im)))) y.im))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 x.re 2) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) y.im))) x.im)))))
(+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 -1/24 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 x.im 2)))) (.f64 24 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (.f64 (pow.f64 (.f64 1 x.im) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)))))) x.im)))) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) (pow.f64 y.im 2)))) x.im))) (.f64 (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 240 (/.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 3) (pow.f64 x.im 3))) (+.f64 (.f64 -720 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (.f64 (pow.f64 (.f64 1 x.im) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3))))))) (pow.f64 x.im 2)))) (.f64 720 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 x.im) 1/3) (+.f64 (.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 x.im 16)) 1/3)) (.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 x.im 16)) 1/3)))) (+.f64 (.f64 -5/216 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 5)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 x.im 5)) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3))))) (.f64 55/1296 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 5))))))) x.im))))) y.im)) (.f64 -1/6 (/.f64 (.f64 (pow.f64 y.im 3) (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 3)) (pow.f64 x.im 3)))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im)))))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 y.im 2))) (pow.f64 x.im 2)))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 x.im 2)))) (.f64 24 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (.f64 (pow.f64 (.f64 1 x.im) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)))))) x.im)))) y.im))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 x.re 2) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) y.im))) x.im))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (*.f64 (pow.f64 1 1/3) x.re)) y.im)))
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(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.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)) (cos.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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.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 (sin.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 (cos.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)) (cos.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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (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)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.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)) (cos.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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))) (+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (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)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.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 (sin.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 (cos.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)) (cos.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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.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)) (cos.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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) 1) (+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (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)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.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 (sin.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 (cos.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)) (cos.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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (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)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)))))))
(pow.f64 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (*.f64 (pow.f64 1 1/3) x.im)) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 x.re 2) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) y.im))) x.im))))
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (.f64 -1 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (/.f64 x.im (.f64 (.f64 (.f64 x.re x.re) (*.f64 (/.f64 1 x.im) 1/2)) y.im)))))
(-.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) x.im) (.f64 (.f64 (.f64 x.re x.re) y.im) (/.f64 1/2 x.im))))
(+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 y.im 2))) (pow.f64 x.im 2)))) (.f64 1/24 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 x.im 2)))) (.f64 24 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (.f64 (pow.f64 (.f64 1 x.im) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)))))) x.im)))) y.im))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 x.re 2) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) y.im))) x.im)))))
(fma.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/2 (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (/.f64 (.f64 x.im x.im) (.f64 (pow.f64 (.f64 (/.f64 1 x.im) 1/2) 2) (.f64 y.im y.im))))) (.f64 (.f64 1/24 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) (.f64 y.im (+.f64 (.f64 -12 (/.f64 (pow.f64 (.f64 (/.f64 1 x.im) 1/2) 2) (.f64 x.im x.im))) (.f64 24 (/.f64 (fma.f64 1/18 (/.f64 1 (pow.f64 x.im 3)) (fma.f64 -5/72 (/.f64 1 (pow.f64 x.im 3)) (.f64 (cbrt.f64 x.im) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x.im 10))) -1/9)))) x.im)))))) (+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (.f64 -1 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (/.f64 x.im (.f64 (.f64 (.f64 x.re x.re) (*.f64 (/.f64 1 x.im) 1/2)) y.im))))))
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(fma.f64 (pow.f64 x.re 4) (fma.f64 -1/2 (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (/.f64 (.f64 x.im (/.f64 x.im (.f64 y.im y.im))) (/.f64 (/.f64 1/4 x.im) x.im))) (.f64 (.f64 (fma.f64 -12 (/.f64 (/.f64 (/.f64 1/4 x.im) x.im) (.f64 x.im x.im)) (.f64 24 (/.f64 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x.im 10))) (.f64 -1/9 (cbrt.f64 x.im))) (/.f64 -1/72 (pow.f64 x.im 3))) x.im))) (.f64 y.im (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) -1/24)) (-.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) x.im) (.f64 (.f64 (*.f64 x.re x.re) y.im) (/.f64 1/2 x.im)))))
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(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
(sqrt.f64 (pow.f64 (cos.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 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cos.f64 (fma.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 3))
(cos.f64 (fma.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(cos.f64 (fma.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(cos.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im)))) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (neg.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (cos.f64 (.f64 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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))

eval662.0ms (3.9%)

Compiler: Compiled 53426 to 18388 computations (65.6% saved)

prune601.0ms (3.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1116	16	1132
Fresh	7	2	9
Picked	1	0	1
Done	4	0	4
Total	1128	18	1146

Error

2.88%

Counts

1146 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.56%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	14.28%	(/.f64 1 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re)))
	14.34%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	64.66%	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 x.re (.f64 x.re y.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	19.96%	(.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	4.23%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	76.65%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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))))))
	45.17%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
	4.42%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	48.81%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
▶	47.66%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	21.51%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
▶	28.97%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
▶	4.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	74.45%	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	67.77%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	62.06%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	54.71%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

Compiler

Compiled 1000 to 638 computations (36.2% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.03%	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
	0.4%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 70 to 14 computations (80% saved)

series12.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	x.im	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.re	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.im	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

rewrite191.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`distribute-rgt-in`
852×	`distribute-lft-in`
630×	`associate-*r/`
512×	`associate-*l/`
372×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	288	70
2	3669	70

Stop Event

1×	node limit

Counts

2 → 275

Calls

Call 1

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

Outputs

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

simplify239.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-r`
982×	`+-commutative`
934×	`associate-+r+`
930×	`associate-l`
822×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	925	33091
1	2649	32949

Stop Event

1×	node limit

Counts

371 → 561

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 1/2 (/.f64 x.re (/.f64 (/.f64 (/.f64 x.im (/.f64 y.re x.im)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) x.re)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))))) (fma.f64 (pow.f64 x.re 4) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 1/2 (/.f64 x.re (/.f64 (/.f64 (/.f64 x.im (/.f64 y.re x.im)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) x.re)) (fma.f64 (pow.f64 x.re 4) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 -1/4 (/.f64 (pow.f64 x.im 4) y.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.im 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (pow.f64 x.re 6) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.re (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))))) (fma.f64 (pow.f64 x.re 4) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))))) (fma.f64 (fma.f64 -1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.re 6)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(fma.f64 1/2 (/.f64 x.re (/.f64 (/.f64 (/.f64 x.im (/.f64 y.re x.im)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) x.re)) (fma.f64 (pow.f64 x.re 4) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 -1/4 (/.f64 (pow.f64 x.im 4) y.re)))) (fma.f64 (fma.f64 -1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 6) y.re)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.re 6)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 x.re x.re) (.f64 y.re (.f64 x.im x.im))))))
(+.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 1/2 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.re)))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.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))))) (pow.f64 x.re 4)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2)))))
(+.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 x.re x.re) (.f64 y.re (.f64 x.im x.im))))) (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 x.re 4) (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4))))))))
(+.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (/.f64 (.f64 1/2 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re)) (.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.re 4)) (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 (pow.f64 x.im 4) (.f64 1/8 (.f64 y.re y.re)))))))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.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))))) (pow.f64 x.re 4)) (+.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 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.re))))) (pow.f64 x.re 6)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))))))
(+.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 x.re 4) (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 x.re x.re) (.f64 y.re (.f64 x.im x.im))))) (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (pow.f64 x.re 6) (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/48 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (.f64 1/720 (.f64 y.re (.f64 (pow.f64 x.im 6) 120))))))))))
(+.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (/.f64 (.f64 1/2 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re)) (+.f64 (.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.re 4)) (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 (pow.f64 x.im 4) (.f64 1/8 (.f64 y.re y.re))))) (.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.re 6)) (fma.f64 -1/8 (.f64 y.re (.f64 y.re (pow.f64 x.im 6))) (fma.f64 1/48 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (.f64 y.re (.f64 1/720 (*.f64 (pow.f64 x.im 6) 120)))))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.re 2))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 1/2 (/.f64 (.f64 y.re (.f64 (.f64 x.im x.im) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (.f64 x.re x.re)) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (.f64 (+.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)))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 x.re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.re 2))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 y.re (.f64 (.f64 x.im x.im) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))) (.f64 x.re x.re)) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))) (/.f64 (pow.f64 x.re 4) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 (/.f64 (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 (pow.f64 x.im 4) (.f64 1/8 (.f64 y.re y.re)))) (pow.f64 x.re 4)) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
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(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))
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(-.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (*.f64 (atan2.f64 x.im x.re) y.im))
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(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (fma.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (fma.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))) (/.f64 1/2 (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))) (*.f64 (atan2.f64 x.im x.re) y.im))
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(-.f64 (fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) y.re)) (fma.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))) (fma.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 -1/4 (/.f64 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (fma.f64 1/720 (/.f64 y.re (/.f64 (pow.f64 x.re 6) (.f64 (pow.f64 x.im 6) 120))) (fma.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))) (fma.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 -1/4 (.f64 (/.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.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 y.im (atan2.f64 x.im x.re)))
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(-.f64 (fma.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1/4 (/.f64 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/6 (/.f64 y.re (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (.f64 y.re (log.f64 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im))
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(-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
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(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (fma.f64 (atan2.f64 x.im x.re) (neg.f64 y.im) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (fma.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (fma.f64 (atan2.f64 x.im x.re) (+.f64 y.im (neg.f64 y.im)) (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))))
(+.f64 (+.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) (+.f64 y.im (neg.f64 y.im)))))
(+.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) y.im)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) (+.f64 y.im (neg.f64 y.im)))))
(+.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) y.im)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (+.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) (.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) y.im))))
(-.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 2 (.f64 (atan2.f64 x.im x.re) (+.f64 y.im (neg.f64 y.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (+.f64 y.im (neg.f64 y.im)) (.f64 (atan2.f64 x.im x.re) 2))) (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) y.im)) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) (+.f64 y.im (neg.f64 y.im)))))
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(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
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(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
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(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
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(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
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(.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (cbrt.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 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 2))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
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(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
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(.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) y.im))))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (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 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 3) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) y.im))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 3) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) 2) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (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 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 3) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.im) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) 2) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im)))))))))
(pow.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1)
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2)
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 3)
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 3) 1/3)
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)) 2))
(sqrt.f64 (pow.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 2))
(log.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 3))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 1 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 1 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) y.im)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) (+.f64 y.im (neg.f64 y.im)))))
(fma.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (sqrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) y.im)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) (+.f64 y.im (neg.f64 y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) 2) (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) 2) (cbrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) 2) (cbrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (cbrt.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) y.im)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (+.f64 (neg.f64 y.im) (+.f64 y.im (neg.f64 y.im)))))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
✓	0.02%	(/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))
	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
	28.09%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 51 to 15 computations (70.6% saved)

series19.0ms (0.1%)

Counts

2 → 64

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	-inf	(/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))
2.0ms	x.im	@	inf	(/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))
2.0ms	x.re	@	inf	(/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))
2.0ms	x.re	@	0	(/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))
1.0ms	x.im	@	-inf	(/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`associate-*r/`
864×	`associate-/r*`
800×	`associate-*l/`
734×	`associate-/l*`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	288	52
2	3664	52

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1078×	`associate-r`
980×	`fma-def`
926×	`*-commutative`
780×	`associate-/l*`
772×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	658	14252
1	2015	13276

Stop Event

1×	node limit

Counts

146 → 268

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.22%	(*.f64 y.im (log.f64 x.im))
	0.4%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.45%	(cos.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 84 to 15 computations (82.1% saved)

series96.0ms (0.6%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	x.im	@	0	(cos.f64 (*.f64 y.im (log.f64 x.im)))
22.0ms	y.im	@	0	(*.f64 y.im (log.f64 x.im))
15.0ms	x.im	@	-inf	(cos.f64 (*.f64 y.im (log.f64 x.im)))
6.0ms	x.im	@	inf	(cos.f64 (*.f64 y.im (log.f64 x.im)))
1.0ms	y.im	@	0	(cos.f64 (*.f64 y.im (log.f64 x.im)))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`add-sqr-sqrt`
1408×	`*-un-lft-identity`
1294×	`add-cube-cbrt`
1274×	`add-cbrt-cube`
1258×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	151	26
2	1761	26

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))

Outputs

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

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

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1096×	`fma-def`
872×	`distribute-lft-in`
844×	`distribute-rgt-in`
744×	`unswap-sqr`
676×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	989
1	220	967
2	890	945
3	2590	941
4	7480	941

Stop Event

1×	node limit

Counts

65 → 55

Calls

Call 1

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

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

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
	2.25%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	8.7%	(log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im)))
✓	22.84%	(cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 163 to 42 computations (74.2% saved)

series17.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`associate-*l/`
1698×	`associate-/l*`
422×	`add-sqr-sqrt`
412×	`pow1`
412×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	402	74
2	5396	74

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify190.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1240×	`+-commutative`
906×	`associate-*r/`
802×	`associate-r`
694×	`fma-def`
692×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	465	14771
1	1358	13913
2	5568	13913

Stop Event

1×	node limit

Counts

131 → 252

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im) (pow.f64 x.im 4))))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im) (pow.f64 x.im 4))))) (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/16 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) (+.f64 (.f64 1/24 (/.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 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im)))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))) y.im))))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2)))))) (+.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (+.f64 (.f64 8/3 (.f64 y.im (pow.f64 x.im 6))) (.f64 -4/3 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))) (pow.f64 x.re 6)) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))) y.im))))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im)))
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(pow.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 0)
(+.f64 0 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 2)) (log.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 2))) (log.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))) (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))) 1)
(.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 1)
(.f64 1 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))
(.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (sqrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 2) (cbrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(exp.f64 (log.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(exp.f64 (.f64 (log.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 1))
(log1p.f64 (-.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im) 1))

Outputs
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (*.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) (.f64 y.im (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.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)) (.f64 y.im (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im) (pow.f64 x.im 4))))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.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) (.f64 y.im (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (fma.f64 (pow.f64 x.re 4) (.f64 -1/8 (-.f64 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im))) (/.f64 (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) y.im)))) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.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)) (.f64 y.im (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (fma.f64 (pow.f64 x.re 4) (.f64 -1/8 (-.f64 (/.f64 (.f64 (.f64 y.im y.im) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4)) (.f64 (/.f64 (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 4)) y.im))) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) y.im) (pow.f64 x.im 4))))) (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/16 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im))))) (+.f64 (.f64 1/24 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))))))
(fma.f64 -1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.im (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (fma.f64 (pow.f64 x.re 4) (.f64 -1/8 (-.f64 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im))) (/.f64 (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) y.im)))) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/16 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 6) (.f64 y.im y.im)))) (.f64 (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/24 (/.f64 y.im (pow.f64 x.im 6)) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))))))
(fma.f64 -1/2 (.f64 (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re)) (.f64 y.im (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (fma.f64 (pow.f64 x.re 4) (.f64 -1/8 (-.f64 (/.f64 (.f64 (.f64 y.im y.im) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4)) (.f64 (/.f64 (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 4)) y.im))) (fma.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/16 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 6) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (sin.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/24 (/.f64 y.im (pow.f64 x.im 6)) (/.f64 -1/48 (/.f64 (pow.f64 x.im 6) (pow.f64 y.im 3)))))) (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (neg.f64 (/.f64 1/2 x.im)))))))
(cos.f64 (fma.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (/.f64 -1/2 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (neg.f64 (/.f64 1/2 x.im))))))) (.f64 -2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (neg.f64 (/.f64 1/2 x.im))))))))))))
(fma.f64 -2 (.f64 (/.f64 (.f64 x.im (.f64 x.im (sin.f64 (fma.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (/.f64 -1/2 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))))) x.re) (/.f64 y.im x.re)) (cos.f64 (fma.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (/.f64 -1/2 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))) y.im))))) (pow.f64 x.re 4))))
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(cos.f64 (fma.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))
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(+.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(.f64 2 (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 2)))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))) (log.f64 (cbrt.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(.f64 3 (log.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 2))) (log.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))) (log.f64 (cbrt.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(.f64 3 (log.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))) (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(.f64 2 (log.f64 (sqrt.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))) 1)
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))) 1)
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 1)
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(.f64 1 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (sqrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 2))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 2) (cbrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 1)
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 2)
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 3)
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(pow.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 3) 1/3)
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 2))
(fabs.f64 (log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)) 3))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(exp.f64 (log.f64 (log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(exp.f64 (.f64 (log.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))) 1))
(log.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im))
(log.f64 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(log1p.f64 (-.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im) 1))
(log1p.f64 (+.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 x.im) -1))
(log1p.f64 (+.f64 -1 (fma.f64 -1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)))

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.51%	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	33.44%	(cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
✓	60.53%	(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))

Compiler

Compiled 119 to 29 computations (75.6% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y.im	@	-inf	(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))
1.0ms	x.im	@	-inf	(cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
0.0ms	x.re	@	inf	(cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
0.0ms	x.im	@	inf	(cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
0.0ms	x.re	@	-inf	(cos.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`*-commutative`
898×	`unswap-sqr`
886×	`sqrt-prod`
596×	`swap-sqr`
452×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	262	38
2	2822	38

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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

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

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-+l+`
918×	`associate-r`
886×	`+-commutative`
882×	`associate-*r/`
670×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	10176
1	1360	8666
2	5449	8666

Stop Event

1×	node limit

Counts

156 → 268

Calls

Call 1

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

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

eval1.3s (7.8%)

Compiler: Compiled 81771 to 30914 computations (62.2% saved)

prune824.0ms (4.9%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	1825	26	1851
Fresh	7	6	13
Picked	1	0	1
Done	4	0	4
Total	1837	32	1869

Error

2.85%

Counts

1869 → 32

Alt Table

Click to see full alt table

Status	Error	Program
▶	81.61%	(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (/.f64 1 (pow.f64 x.im y.re)) (.f64 -1/2 (.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re))))))
▶	63.51%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
	24.5%	(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	24.56%	(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	38.05%	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)
	51.37%	(.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	13%	(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
	12.79%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.96%	(.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) 1)
	64.56%	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 x.re (.f64 x.re y.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	19.96%	(.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	4.23%	(.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 -1 (pow.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)) (+.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))))
	47.66%	(.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 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) 1))
▶	47.72%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 2)))
	45.17%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
	4.42%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	47.64%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 3)))
	76.65%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (/.f64 (.f64 x.im x.im) y.im)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	4.25%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 y.im) 2) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (cbrt.f64 y.im)))))
▶	4.16%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))))
	48.81%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	63.4%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 x.re)) 3))))
	61.39%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3))))
	77.92%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (log.f64 (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	74.92%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re))) (log.f64 (/.f64 -1 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	80.52%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 -1/2 x.im)) (.f64 2 (log.f64 x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	95.29%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (exp.f64 (log.f64 (log.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) -1/2 x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	67.67%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (*.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im))))))
	62.06%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	54.71%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	55.13%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	37.41%	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 1710 to 1100 computations (35.7% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.51%	(.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
✓	0.92%	(cbrt.f64 (hypot.f64 x.im x.re))
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	33.52%	(cos.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))

Compiler

Compiled 117 to 29 computations (75.2% saved)

series42.0ms (0.2%)

Counts

3 → 48

Calls

24 calls:

Time	Variable		Point	Expression
22.0ms	y.im	@	0	(.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
4.0ms	x.im	@	0	(cos.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
2.0ms	x.im	@	inf	(cos.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
2.0ms	x.re	@	inf	(cos.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
2.0ms	x.re	@	0	(cos.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`*-commutative`
756×	`unswap-sqr`
654×	`swap-sqr`
456×	`sqr-pow`
444×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	251	49
2	2889	49

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(cos.f64 (.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cbrt.f64 (hypot.f64 x.im x.re))
(.f64 y.im (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 2) (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (fabs.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (fabs.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sqrt.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (*.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sqrt.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (cbrt.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (cbrt.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3/2) (pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3) 1/6))))) 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simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1066×	`associate-/l*`
986×	`distribute-rgt-in`
982×	`associate-/r*`
978×	`distribute-lft-in`
704×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	7007
1	1201	5937
2	4122	5853

Stop Event

1×	node limit

Counts

143 → 229

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -9/2 (.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) 1/6)) 2) (pow.f64 y.im 2))))
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(*.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)) (fabs.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6)) (fabs.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(.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 (fabs.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6))) (*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (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 (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 (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 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)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x.im x.re))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x.im x.re))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) 1))))
(pow.f64 (hypot.f64 x.im x.re) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) 2/3)
(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 (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 (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 1) (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))))
(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))))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x.im x.re))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) -1)
(+.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 (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 y.im 0) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(+.f64 (.f64 (.f64 y.im 3) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 2))) (.f64 (.f64 y.im 3) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(+.f64 (.f64 (.f64 y.im 3) 0) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(+.f64 (.f64 (.f64 y.im 3) (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6))) (.f64 (.f64 y.im 3) (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6))))
(+.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 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2)) y.im) (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(+.f64 (*.f64 0 y.im) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 2)) (.f64 y.im 3)) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (.f64 y.im 3)))
(+.f64 (.f64 0 (.f64 y.im 3)) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6)) (.f64 y.im 3)) (.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6)) (.f64 y.im 3)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1))))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3) 1/3)
(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.im x.re) y.im)))
(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 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))

Outputs
1
(+.f64 1 (.f64 -9/2 (.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) 1/6)) 2) (pow.f64 y.im 2))))
(+.f64 1 (.f64 (.f64 -9/2 (pow.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (.f64 y.im y.im)))
(fma.f64 -9/2 (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) 1)
(+.f64 1 (+.f64 (.f64 -9/2 (.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) 1/6)) 2) (pow.f64 y.im 2))) (.f64 27/8 (.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) 1/6)) 4) (pow.f64 y.im 4)))))
(+.f64 1 (fma.f64 -9/2 (.f64 (pow.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 27/8 (.f64 (pow.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4) (pow.f64 y.im 4)))))
(+.f64 1 (fma.f64 -9/2 (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 27/8 (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 4) (pow.f64 y.im 4)))))
(+.f64 1 (fma.f64 27/8 (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 4) (pow.f64 y.im 4)) (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 2) (.f64 (.f64 y.im y.im) -9/2))))
(+.f64 (.f64 -81/80 (.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) 1/6)) 6) (pow.f64 y.im 6))) (+.f64 1 (+.f64 (.f64 -9/2 (.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) 1/6)) 2) (pow.f64 y.im 2))) (.f64 27/8 (.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) 1/6)) 4) (pow.f64 y.im 4))))))
(fma.f64 -81/80 (.f64 (pow.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 6) (pow.f64 y.im 6)) (+.f64 1 (fma.f64 -9/2 (.f64 (pow.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 27/8 (.f64 (pow.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4) (pow.f64 y.im 4))))))
(+.f64 (fma.f64 -9/2 (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 2) (.f64 y.im y.im)) (.f64 27/8 (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 4) (pow.f64 y.im 4)))) (fma.f64 (.f64 -81/80 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) 6)) (pow.f64 y.im 6) 1))
(+.f64 (fma.f64 27/8 (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 4) (pow.f64 y.im 4)) (.f64 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (.f64 x.re x.re)))) 2) (.f64 (.f64 y.im y.im) -9/2))) (fma.f64 (.f64 -81/80 (pow.f64 (.f64 1/6 (log.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) 6)) (pow.f64 y.im 6) 1))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/3)))))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(cos.f64 (.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3)))
(cos.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im)))
(cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 x.re)))))
(cos.f64 (.f64 y.im (.f64 1 (log.f64 x.re))))
(+.f64 (cos.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (cos.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 x.re))))) (.f64 -1/2 (/.f64 (sin.f64 (.f64 3 (.f64 y.im (log.f64 (cbrt.f64 x.re))))) (/.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) y.im)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 (.f64 y.im x.im) x.im) x.re) (/.f64 (sin.f64 (.f64 y.im (.f64 1 (log.f64 x.re)))) x.re)) (cos.f64 (.f64 y.im (*.f64 1 (log.f64 x.re)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im x.im) (/.f64 x.re (/.f64 x.im x.re))) (sin.f64 (.f64 y.im (.f64 1 (log.f64 x.re))))) (cos.f64 (.f64 y.im (.f64 1 (log.f64 x.re)))))
(+.f64 (cos.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 1/8 (.f64 (sin.f64 (.f64 3 (.f64 (log.f64 (pow.f64 x.re 1/3)) y.im))) (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.re 4)))) (.f64 5/3 (/.f64 1 (pow.f64 x.re 4)))) y.im)))) (pow.f64 x.im 4))))
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(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))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (hypot.f64 x.im x.re))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) -1)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) 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 (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))) (+.f64 y.im y.im))
(.f64 y.im (.f64 2 (log.f64 (sqrt.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 y.im (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3))
(+.f64 (*.f64 y.im 0) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(+.f64 (.f64 (.f64 y.im 3) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 2))) (.f64 (.f64 y.im 3) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))))))
(.f64 y.im (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3))
(+.f64 (.f64 (.f64 y.im 3) 0) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(+.f64 (.f64 (.f64 y.im 3) (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6))) (.f64 (.f64 y.im 3) (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6))))
(.f64 y.im (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3))
(+.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 (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))) (+.f64 y.im y.im))
(.f64 y.im (.f64 2 (log.f64 (sqrt.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 y.im (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3))
(+.f64 (*.f64 0 y.im) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 2)) (.f64 y.im 3)) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (.f64 y.im 3)))
(.f64 y.im (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3))
(+.f64 (.f64 0 (.f64 y.im 3)) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6)) (.f64 y.im 3)) (.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) 1/6)) (.f64 y.im 3)))
(.f64 y.im (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re)))))
(.f64 y.im (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))) 3))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (+.f64 1 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) (+.f64 1 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (exp.f64 (*.f64 2 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 1)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 2)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3) 1/3)
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 2))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(fabs.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (+.f64 1 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 0))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) 3))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) 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 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) -1))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) 0))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
	28.09%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 30 to 10 computations (66.7% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.25%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	25.5%	(.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re)))
✓	27.91%	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	28.09%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 126 to 30 computations (76.2% saved)

series20.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	x.re	@	0	(.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re)))
3.0ms	y.re	@	inf	(.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re)))
2.0ms	x.im	@	inf	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
1.0ms	y.re	@	-inf	(.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re)))
1.0ms	x.im	@	0	(.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re)))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`unswap-sqr`
918×	`swap-sqr`
516×	`associate-/l/`
456×	`distribute-lft-neg-in`
450×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	245	44
2	3872	44

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/l*`
876×	`times-frac`
868×	`associate-l`
860×	`associate-r`
750×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	7695
1	1555	6891
2	7580	6891

Stop Event

1×	node limit

Counts

225 → 241

Calls

Call 1

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

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(*.f64 x.re (/.f64 x.re x.im))
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	8.7%	(log.f64 (fma.f64 -1/2 (*.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im)))
✓	15.86%	(cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im)))))

Compiler

Compiled 128 to 34 computations (73.4% saved)

series10.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	inf	(cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im)))))
1.0ms	x.im	@	inf	(cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im)))))
1.0ms	x.im	@	0	(cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im)))))
1.0ms	x.re	@	0	(cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im)))))
1.0ms	x.im	@	-inf	(cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (.f64 x.re (/.f64 x.re x.im)) (neg.f64 x.im)))))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`associate-*r/`
1174×	`associate-/r*`
892×	`associate-*l/`
754×	`associate-/l*`
402×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	300	73
2	3741	73

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

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

Outputs

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

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1324×	`times-frac`
1070×	`associate-r`
786×	`associate-l`
726×	`associate-/l/`
724×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	810	12647
1	2080	12027

Stop Event

1×	node limit

Counts

319 → 421

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.22%	(*.f64 y.im (log.f64 x.im))
	0.4%	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
	1.9%	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.45%	(cos.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 103 to 24 computations (76.7% saved)

eval561.0ms (3.3%)

Compiler: Compiled 44591 to 17879 computations (59.9% saved)

prune407.0ms (2.4%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1194	10	1204
Fresh	6	21	27
Picked	1	0	1
Done	3	1	4
Total	1204	32	1236

Error

2.85%

Counts

1236 → 32

Alt Table

Click to see full alt table

Status	Error	Program
✓	63.51%	(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
	24.5%	(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	81.24%	(/.f64 1 (+.f64 (/.f64 1 (pow.f64 x.im y.re)) (.f64 -1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re))))))
	63.49%	(/.f64 1 1)
	24.56%	(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	38.05%	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)
	51.37%	(.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	13%	(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
	12.79%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.96%	(.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) 1)
	64.56%	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 x.re (.f64 x.re y.re)) x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	19.96%	(.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	4.23%	(.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 -1 (pow.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)) (+.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))))
	47.66%	(.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 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) 1))
	45.17%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
	4.42%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	47.64%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 3)))
	4.25%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 y.im) 2) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (cbrt.f64 y.im)))))
	48.74%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (*.f64 3 (log.f64 (cbrt.f64 x.re))))))
	48.81%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	61.39%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3))))
	90.79%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (fma.f64 -1/2 (*.f64 x.re (/.f64 x.re x.im)) x.im))))) 3))
	80.52%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im))))) y.im)))
	67.67%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (.f64 x.re (/.f64 x.re x.im))) x.im)) y.im)))
	77.81%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (log.f64 (neg.f64 x.im))))))
	62.06%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	62.56%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
	95.29%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 (*.f64 x.re (/.f64 x.re x.im)) x.im)))))))
	55.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 2)))
	54.71%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	55.13%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	37.41%	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 792 to 521 computations (34.2% saved)

regimes193.0ms (1.1%)

Counts

70 → 1

Calls

Call 1

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

Calls

5 calls:

44.0ms	x.re
39.0ms	y.im
39.0ms	y.re
32.0ms	x.im
7.0ms	(.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))) (cos.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
4.16%	1	`x.re`
4.16%	1	`x.im`
4.16%	1	`y.re`
4.16%	1	`y.im`
4.16%	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))) (cos.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 1765 to 444 computations (74.8% saved)

regimes103.0ms (0.6%)

Counts

48 → 1

Calls

Call 1

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

Calls

4 calls:

22.0ms	y.im
21.0ms	y.re
21.0ms	x.re
21.0ms	x.im

Results

Error	Segments	Branch
4.2%	1	`x.re`
4.2%	1	`x.im`
4.2%	1	`y.re`
4.2%	1	`y.im`

Compiler

Compiled 1054 to 300 computations (71.5% saved)

regimes63.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

18.0ms	x.im
18.0ms	y.re
18.0ms	y.im
6.0ms	x.re

Results

Error	Segments	Branch
12.79%	1	`x.re`
10.05%	2	`x.im`
6.91%	3	`y.re`
8.47%	3	`y.im`

Compiler

Compiled 165 to 82 computations (50.3% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
25.0ms	3.80455837475384e-9	4.171068345804644e-8
5.0ms	-2.5714558791745593e+101	-2.7194767512566194e+98

Results

22.0ms	109×	body	256	valid
2.0ms	4×	body	1024	infinite
1.0ms	6×	body	256	infinite
1.0ms	3×	body	512	infinite
1.0ms	3×	body	512	valid

Compiler

Compiled 285 to 187 computations (34.4% saved)

regimes55.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Calls

4 calls:

20.0ms	y.re
16.0ms	y.im
10.0ms	x.im
6.0ms	x.re

Results

Error	Segments	Branch
24.5%	1	`x.re`
19.36%	2	`x.im`
7.36%	3	`y.re`
10.47%	3	`y.im`

Compiler

Compiled 137 to 75 computations (45.3% saved)

bsearch65.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.610883887454299e-15	2.773338624948875e-11
32.0ms	-0.5578150215400952	-0.0013743706109611991

Results

51.0ms	248×	body	256	valid
4.0ms	7×	body	1024	infinite
2.0ms	4×	body	1024	valid
2.0ms	4×	body	512	valid
1.0ms	5×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 504 to 369 computations (26.8% saved)

regimes50.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
(/.f64 1 1)
(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)
(/.f64 1 (+.f64 (/.f64 1 (pow.f64 x.im y.re)) (.f64 -1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 y.re (pow.f64 x.im y.re))))))

Outputs
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))

Calls

4 calls:

17.0ms	y.re
13.0ms	y.im
12.0ms	x.im
5.0ms	x.re

Results

Error	Segments	Branch
24.5%	1	`x.re`
21.85%	3	`x.im`
7.82%	3	`y.re`
10.47%	3	`y.im`

Compiler

Compiled 88 to 57 computations (35.2% saved)

bsearch66.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.610883887454299e-15	2.773338624948875e-11
33.0ms	-0.5578150215400952	-0.0013743706109611991

Results

50.0ms	250×	body	256	valid
7.0ms	9×	body	1024	infinite
2.0ms	3×	body	1024	valid
2.0ms	8×	body	256	infinite
1.0ms	3×	body	512	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 496 to 377 computations (24% saved)

regimes16.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Calls

4 calls:

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

Results

Error	Segments	Branch
37.41%	1	`x.re`
37.41%	1	`x.im`
37.41%	1	`y.re`
37.41%	1	`y.im`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 1 1)
(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)

Outputs
(/.f64 1 1)

Calls

4 calls:

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

Results

Error	Segments	Branch
63.49%	1	`x.re`
63.49%	1	`x.im`
63.49%	1	`y.re`
63.49%	1	`y.im`

Compiler

Compiled 35 to 28 computations (20% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
6×	`*-rgt-identity`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	407
1	89	407
2	98	407
3	103	407
4	105	407

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))) (cos.f64 (.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))) 1)
(if (<=.f64 y.re -199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 6195744825524975/151115727451828646838272) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -8762203435012037/4611686018427387904) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 8356095265176317/309485009821345068724781056) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -1062849512059437/9007199254740992) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 6684876212141053/4951760157141521099596496896) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(/.f64 1 1)

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))) (cos.f64 (.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))) 1)
(exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(if (<=.f64 y.re -199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 6195744825524975/151115727451828646838272) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 6195744825524975/151115727451828646838272) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 x.im y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -8762203435012037/4611686018427387904) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 8356095265176317/309485009821345068724781056) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 x.im y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -8762203435012037/4611686018427387904) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 8356095265176317/309485009821345068724781056) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (pow.f64 x.im y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -1062849512059437/9007199254740992) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (if (<=.f64 y.re 6684876212141053/4951760157141521099596496896) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(if (or (<=.f64 y.re -1062849512059437/9007199254740992) (not (<=.f64 y.re 6684876212141053/4951760157141521099596496896))) (/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 x.re x.im) y.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(/.f64 1 1)
1

Compiler

Compiled 171 to 112 computations (34.5% saved)

soundness289.0ms (1.7%)

Algorithm

3×	egg-herbie

Rules

1704×	`unswap-sqr`
1132×	`associate-+l+`
1028×	`associate-+l+`
1014×	`associate-/l*`
984×	`+-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	487	10462
1	1374	9556
2	5505	9556
0	495	10176
1	1360	8666
2	5449	8666

Stop Event

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

Compiler

Compiled 405 to 124 computations (69.4% saved)

end54.0ms (0.3%)

Compiler: Compiled 147 to 61 computations (58.5% saved)