Details

analyze629.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
15.6%	84.2%	0.2%	6
23.4%	76.4%	0.2%	7
26.5%	73.3%	0.2%	8
35.5%	64.3%	0.2%	9
40.5%	59.3%	0.2%	10
46.3%	53.5%	0.2%	11
46.8%	53%	0.2%	12

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample6.2s (22.6%)

Results

2.5s	7938×	body	256	valid
2.4s	2604×	body	1024	invalid
630.0ms	979×	body	512	invalid
272.0ms	1004×	body	256	invalid
192.0ms	142×	body	512	valid
108.0ms	162×	body	1024	valid
37.0ms	36×	body	2048	invalid
15.0ms	14×	body	2048	valid

preprocess96.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

514×	`associate-l_binary64`
486×	`associate-r_binary64`
392×	`times-frac_binary64`
391×	`associate-/l*_binary64`
372×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	280
1	223	266
2	443	266
3	736	266
4	1769	266
5	7248	266
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) (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 (/.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 (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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (.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 (fma.f64 (log.f64 (hypot.f64 y.re x.im)) x.re (neg.f64 (.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 (fma.f64 (log.f64 (hypot.f64 y.im x.im)) y.re (neg.f64 (.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 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re y.re)) (*.f64 x.im (atan2.f64 y.re x.re)))) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 y.re x.re)) (pow.f64 (hypot.f64 x.re y.re) x.im)))
(.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 (/.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)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
457×	`associate-/l*_binary64`
323×	`pow-sqr_binary64`
322×	`associate-/r*_binary64`
282×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	39	38
2	76	38
3	126	38
4	286	38
5	1102	38
6	4153	38
7	5785	38
8	6380	38
9	7366	38

Stop Event

1×	node limit

Counts

1 → 2

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 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) (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 (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)))))

eval1.0ms (0%)

Compiler: Compiled 66 to 29 computations (56.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

5.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	33.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))

Status

Error

Program

▶

10.0b

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

▶

33.1b

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (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 70 to 34 computations (51.4% saved)

localize88.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	33.6b	(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 180 to 19 computations (89.4% saved)

series35.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	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)))
4.0ms	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)))
3.0ms	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)))
3.0ms	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	@	0	(*.f64 (atan2.f64 x.im x.re) y.im)

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`log-prod_binary64`
556×	`fma-def_binary64`
306×	`expm1-udef_binary64`
306×	`log1p-udef_binary64`
269×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	341	36
2	4579	36

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-+l+_binary64`
424×	`associate-*l/_binary64`
404×	`associate-*r/_binary64`
375×	`associate-/r/_binary64`
287×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	4329
1	1003	3974
2	3738	3809

Stop Event

1×	node limit

Counts

230 → 202

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.9b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	33.6b	(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)

series200.0ms (0.7%)

Counts

4 → 68

Calls

36 calls:

Time	Variable		Point	Expression
59.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
39.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
36.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
21.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
17.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log-prod_binary64`
370×	`pow-prod-down_binary64`
339×	`pow2_binary64`
290×	`pow-pow_binary64`
253×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	254	40
2	3020	40

Stop Event

1×	node limit

Counts

4 → 107

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

simplify183.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

968×	`associate-/r*_binary64`
386×	`associate-/r/_binary64`
338×	`associate-*l/_binary64`
326×	`associate-*r/_binary64`
286×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3475
1	875	3263
2	3368	3106

Stop Event

1×	node limit

Counts

175 → 173

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

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

eval451.0ms (1.7%)

Compiler: Compiled 22167 to 6425 computations (71% saved)

prune140.0ms (0.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	417	20	437
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	419	20	439

Error

3.7b

Counts

439 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1))))
	49.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) 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))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.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)))))
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	25.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
	11.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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)))))
▶	40.8b	(.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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	35.7b	(.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 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	33.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (sqrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2)))) (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))))
	20.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.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)))))
	38.7b	(.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 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
▶	8.0b	(.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)))))
	10.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
▶	20.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	17.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
	16.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.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)))))

Compiler

Compiled 1456 to 796 computations (45.3% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	33.6b	(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 99 to 15 computations (84.8% saved)

series32.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	y.im	@	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
2.0ms	y.re	@	0	(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	(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	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	y.im	@	inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite68.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
828×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
808×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	194	16
2	2267	16

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify198.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-/l/_binary64`
683×	`fma-neg_binary64`
529×	`fma-def_binary64`
392×	`associate-+l+_binary64`
356×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1492
1	349	1308
2	1087	1266
3	4813	1247

Stop Event

1×	node limit

Counts

69 → 66

Calls

Call 1

Inputs
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 x.re 6) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6)))))))
(+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6)))))))
(+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 y.im (log.f64 x.re)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/6 (/.f64 (.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6)))))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))

Outputs
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (*.f64 x.im x.im) y.im)))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (.f64 1/2 (.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 (/.f64 1/2 x.im) (/.f64 (.f64 x.re (.f64 x.re y.im)) x.im) (*.f64 y.im (log.f64 x.im))))
(fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (.f64 (.f64 1/2 x.re) x.re) (.f64 x.im x.im)))))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re 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 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re y.im) x.im)) (/.f64 (*.f64 y.im -1/4) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/4 (.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (.f64 (.f64 1/2 x.re) x.re) (*.f64 x.im x.im))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 x.re 6) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(fma.f64 1/6 (/.f64 (pow.f64 x.re 6) (/.f64 (pow.f64 x.im 6) y.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))))
(fma.f64 1/6 (/.f64 y.im (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))))
(fma.f64 1/6 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6)) (fma.f64 y.im (log.f64 x.im) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re y.im) x.im)) (/.f64 (.f64 y.im -1/4) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/6 (.f64 y.im (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (fma.f64 -1/4 (.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (.f64 (.f64 1/2 x.re) x.re) (.f64 x.im x.im)))))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))
(fma.f64 y.re (atan2.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 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 1/2 (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re)))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.re) (.f64 1/2 (/.f64 (.f64 x.im x.im) (/.f64 x.re (/.f64 y.im x.re))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.re) (/.f64 1/2 (/.f64 x.re (.f64 (.f64 x.im y.im) (/.f64 x.im x.re))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)) (fma.f64 1/2 (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))))
(fma.f64 1/2 (/.f64 (.f64 x.im x.im) (/.f64 x.re (/.f64 y.im x.re))) (fma.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.re)))))
(fma.f64 1/2 (.f64 (.f64 x.im x.im) (/.f64 (/.f64 y.im x.re) x.re)) (fma.f64 -1/4 (/.f64 (pow.f64 x.im 4) (/.f64 (pow.f64 x.re 4) y.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.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 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (*.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6)))))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/720 (/.f64 (*.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) y.im)))))))
(fma.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)) (fma.f64 1/2 (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re)) (-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/720 (/.f64 (pow.f64 x.im 6) (/.f64 (/.f64 (pow.f64 x.re 6) y.im) 120)))) (*.f64 y.im (neg.f64 (log.f64 x.re))))))
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(+.f64 (.f64 1/720 (/.f64 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(fma.f64 1/720 (/.f64 y.im (/.f64 (pow.f64 x.im 6) (.f64 (pow.f64 x.re 6) 120))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))))
(fma.f64 1/720 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (.f64 (pow.f64 x.re 6) 120)) (-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im))))) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re y.im) x.im)) (/.f64 (.f64 y.im -1/4) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))) (-.f64 (fma.f64 1/6 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6)) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(+.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (+.f64 (/.f64 (.f64 (.f64 1/2 x.re) x.re) (.f64 x.im x.im)) (/.f64 (.f64 -1/4 (pow.f64 x.re 4)) (pow.f64 x.im 4))))) (.f64 y.im (-.f64 (/.f64 (*.f64 1/6 (pow.f64 x.re 6)) (pow.f64 x.im 6)) (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.7b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series7.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite47.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`pow1_binary64`
578×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	135	9
2	1574	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify199.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1130×	`sqr-pow_binary64`
989×	`fma-def_binary64`
598×	`pow-sqr_binary64`
563×	`cube-prod_binary64`
428×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	106
1	67	104
2	190	100
3	835	100
4	2166	94
5	2675	91
6	2986	82
7	3211	82
8	3455	82
9	3775	82
10	4203	82
11	4723	82
12	5352	82
13	5612	82
14	5830	82
15	6000	82
16	6146	82
17	6258	82
18	7041	82
19	7911	82

Stop Event

1×	node limit

Counts

20 → 23

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))))))

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 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) 1)
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) 1)
(fma.f64 -1/2 (pow.f64 (*.f64 y.re (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)))))
(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))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 4) 1))
(fma.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) 1))
(fma.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) 1/24 -1/2) 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 (.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)))) (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 -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)))
(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)))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (pow.f64 (.f64 y.re (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 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (fma.f64 -1/720 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 6) 1)))
(fma.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (fma.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (fma.f64 -1/720 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 6) 1)))

localize65.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.2b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series265.0ms (1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
197.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
29.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
18.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
15.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary64`
382×	`pow-prod-down_binary64`
365×	`fma-def_binary64`
323×	`pow2_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	253	15
2	3354	15

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

506×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
467×	`associate-l_binary64`
422×	`associate-r_binary64`
398×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1183
1	218	1062
2	646	1021
3	2950	1013
4	7660	1013

Stop Event

1×	node limit

Counts

93 → 66

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (neg.f64 x.im))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.im)) 2)))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (neg.f64 x.im)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.im)) 2)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (neg.f64 x.im)) 3)))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (neg.f64 x.im))))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.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 y.im (log.f64 (neg.f64 x.im)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	33.6b	(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 103 to 22 computations (78.6% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.9b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	33.6b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series25.0ms (0.1%)

Counts

2 → 92

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	x.re	@	-inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
1.0ms	x.re	@	inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
1.0ms	x.im	@	inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
1.0ms	x.im	@	-inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
1.0ms	x.im	@	0	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
433×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
304×	`pow2_binary64`
253×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	234	36
2	2680	36

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs

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

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

Outputs

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

simplify156.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

950×	`associate-/r*_binary64`
914×	`fma-def_binary64`
371×	`associate-/r/_binary64`
361×	`associate-*l/_binary64`
274×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	6688
1	863	6288
2	3287	5966

Stop Event

1×	node limit

Counts

171 → 101

Calls

Call 1

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

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

eval506.0ms (1.9%)

Compiler: Compiled 37178 to 11748 computations (68.4% saved)

prune523.0ms (1.9%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	808	27	835
Fresh	10	5	15
Picked	1	0	1
Done	4	0	4
Total	823	32	855

Error

3.1b

Counts

855 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	16.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	47.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	28.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
	49.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) 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))))
▶	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.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)))))
▶	21.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.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)))))
	16.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	35.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))
▶	20.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	31.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3))))
	16.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	34.2b	(.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.re (atan2.f64 x.im x.re))))
▶	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	11.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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)))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	16.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	38.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))))
	16.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.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)))))
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	28.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	13.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (sqrt.f64 (pow.f64 (.f64 y.im (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)))))
▶	6.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (log.f64 (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)))))
	20.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))

Compiler

Compiled 2194 to 1224 computations (44.2% saved)

localize80.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	1.7b	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
✓	2.4b	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
	33.6b	(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 119 to 24 computations (79.8% saved)

series553.0ms (2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
348.0ms	x.re	@	-inf	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
47.0ms	x.im	@	0	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
46.0ms	y.im	@	inf	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
40.0ms	y.im	@	-inf	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
20.0ms	x.re	@	0	(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary64`
654×	`add-log-exp_binary64`
654×	`log1p-expm1-u_binary64`
654×	`expm1-log1p-u_binary64`
636×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	155	16
2	1814	16

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

897×	`distribute-rgt-in_binary64`
872×	`distribute-lft-in_binary64`
493×	`distribute-rgt-out_binary64`
470×	`fma-def_binary64`
467×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	619
1	177	617
2	682	613
3	3862	613

Stop Event

1×	node limit

Counts

119 → 59

Calls

Call 1

Inputs
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1 (pow.f64 (atan2.f64 x.im x.re) 2))) (pow.f64 y.im 2))) (.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1 (pow.f64 (atan2.f64 x.im x.re) 2))) (pow.f64 y.im 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (atan2.f64 x.im x.re) 3)) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 2 (pow.f64 (atan2.f64 x.im x.re) 3)))) (pow.f64 y.im 3))) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1 (pow.f64 (atan2.f64 x.im x.re) 2))) (pow.f64 y.im 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (+.f64 (.f64 -6 (pow.f64 (atan2.f64 x.im x.re) 4)) (+.f64 (.f64 -4 (pow.f64 (atan2.f64 x.im x.re) 4)) (+.f64 (.f64 12 (pow.f64 (atan2.f64 x.im x.re) 4)) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (.f64 -3 (pow.f64 (atan2.f64 x.im x.re) 4)))))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (atan2.f64 x.im x.re) 3)) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 2 (pow.f64 (atan2.f64 x.im x.re) 3)))) (pow.f64 y.im 3))) (.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
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)))
(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)))
(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)))
(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)))
(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))

Outputs
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1 (pow.f64 (atan2.f64 x.im x.re) 2))) (pow.f64 y.im 2))) (.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1 (pow.f64 (atan2.f64 x.im x.re) 2))) (pow.f64 y.im 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (atan2.f64 x.im x.re) 3)) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 2 (pow.f64 (atan2.f64 x.im x.re) 3)))) (pow.f64 y.im 3))) (.f64 (atan2.f64 x.im x.re) y.im)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1 (pow.f64 (atan2.f64 x.im x.re) 2))) (pow.f64 y.im 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (+.f64 (.f64 -6 (pow.f64 (atan2.f64 x.im x.re) 4)) (+.f64 (.f64 -4 (pow.f64 (atan2.f64 x.im x.re) 4)) (+.f64 (.f64 12 (pow.f64 (atan2.f64 x.im x.re) 4)) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (.f64 -3 (pow.f64 (atan2.f64 x.im x.re) 4)))))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3 (pow.f64 (atan2.f64 x.im x.re) 3)) (+.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 2 (pow.f64 (atan2.f64 x.im x.re) 3)))) (pow.f64 y.im 3))) (.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
1
(+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1)
(fma.f64 (atan2.f64 x.im x.re) y.im 1)
(+.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (*.f64 y.im y.im)))))
(+.f64 1 (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 y.im (*.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2))))))
(fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 1/2 (.f64 y.im y.im)) 1))
(fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 1/2 (.f64 y.im (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2))) 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 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.im y.im))))))
(+.f64 1 (fma.f64 1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (.f64 1/2 (.f64 y.im (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2)))))))
(fma.f64 1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 1/2 (*.f64 y.im y.im)) 1)))
(fma.f64 1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)) (fma.f64 (atan2.f64 x.im x.re) y.im (fma.f64 1/2 (.f64 y.im (*.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2))) 1)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

localize79.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.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))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series68.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
41.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
7.0ms	x.im	@	0	(-.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))
4.0ms	y.im	@	0	(-.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))
1.0ms	x.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
1.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite141.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
581×	`fma-def_binary64`
283×	`fma-neg_binary64`
267×	`pow1/3_binary64`
266×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	306	27
2	4112	27

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

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

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
746×	`associate-/l/_binary64`
536×	`cancel-sign-sub-inv_binary64`
359×	`times-frac_binary64`
296×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2599
1	523	2310
2	1439	2208
3	5602	2170

Stop Event

1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(+.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 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.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 (.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 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.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 y.re (log.f64 x.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (*.f64 y.re (log.f64 x.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(-.f64 (.f64 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)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.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)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6)))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.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 (+.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))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.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))
(-.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))
(-.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))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.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))
(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.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)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 y.re (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (.f64 y.re (log.f64 x.re))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.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))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.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)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.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)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (+.f64 (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.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)))
(.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))))))
(+.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))))))
(+.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))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.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))))))
(+.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))))))
(+.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))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.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))))))
(+.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))))))
(+.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))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.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))))))
(+.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))))))
(+.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))))))
(.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))))))
(+.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))))))
(+.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))))))
(.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))))))
(+.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))))))
(+.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))))))

Outputs
(*.f64 y.re (log.f64 x.im))
(+.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))))
(fma.f64 y.re (log.f64 x.im) (.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im))))
(fma.f64 y.re (log.f64 x.im) (/.f64 (.f64 (.f64 1/2 y.re) (.f64 x.re x.re)) (.f64 x.im x.im)))
(fma.f64 y.re (log.f64 x.im) (.f64 1/2 (.f64 (/.f64 x.re (*.f64 (/.f64 x.im y.re) x.im)) x.re)))
(.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(fma.f64 y.re (log.f64 x.im) (fma.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.re)) (.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)))))
(fma.f64 y.re (log.f64 x.im) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.re))))
(fma.f64 1/2 (.f64 (/.f64 x.re (.f64 (/.f64 x.im y.re) x.im)) x.re) (fma.f64 -1/4 (/.f64 y.re (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.im))))
(fma.f64 y.re (log.f64 x.im) (.f64 y.re (+.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (*.f64 -1/4 (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(fma.f64 y.re (log.f64 x.im) (fma.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.re)) (fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 1/6 (/.f64 (pow.f64 x.re 6) (/.f64 (pow.f64 x.im 6) y.re))))))
(fma.f64 y.re (log.f64 x.im) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.re) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))))))
(fma.f64 y.re (log.f64 x.im) (fma.f64 1/2 (.f64 (/.f64 x.re (.f64 (/.f64 x.im y.re) x.im)) x.re) (fma.f64 -1/4 (/.f64 y.re (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (/.f64 1/6 (/.f64 (pow.f64 x.im 6) (*.f64 y.re (pow.f64 x.re 6)))))))
(fma.f64 -1/4 (.f64 (/.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)) (fma.f64 y.re (log.f64 x.im) (.f64 y.re (+.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (.f64 1/6 (pow.f64 x.re 6)) (pow.f64 x.im 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))
(*.f64 (neg.f64 (log.f64 x.re)) (neg.f64 y.re))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(fma.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im))) (*.f64 y.re (neg.f64 (log.f64 x.re))))
(fma.f64 y.re (log.f64 x.re) (.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im)))))
(fma.f64 y.re (log.f64 x.re) (.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 (*.f64 x.im x.im) x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(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))) (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))))
(-.f64 (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.im 4)) (pow.f64 x.re 4)))) (.f64 y.re (neg.f64 (log.f64 x.re))))
(fma.f64 y.re (log.f64 x.re) (fma.f64 -1/4 (.f64 (pow.f64 x.im 4) (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/2 (*.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im))))))
(fma.f64 y.re (log.f64 x.re) (.f64 (.f64 (/.f64 y.re x.re) (/.f64 (.f64 x.im x.im) x.re)) (+.f64 1/2 (/.f64 -1/4 (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) y.re)) (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))) (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))))))
(fma.f64 1/720 (/.f64 y.re (/.f64 (pow.f64 x.re 6) (.f64 (pow.f64 x.im 6) 120))) (-.f64 (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.im 4)) (pow.f64 x.re 4)))) (*.f64 y.re (neg.f64 (log.f64 x.re)))))
(fma.f64 y.re (log.f64 x.re) (fma.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im))) (fma.f64 -1/4 (.f64 (pow.f64 x.im 4) (/.f64 y.re (pow.f64 x.re 4))) (.f64 (/.f64 y.re (pow.f64 x.re 6)) (.f64 1/6 (pow.f64 x.im 6))))))
(fma.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 (.f64 x.im x.im) x.re)) (fma.f64 -1/4 (.f64 (pow.f64 x.im 4) (/.f64 y.re (pow.f64 x.re 4))) (.f64 y.re (+.f64 (/.f64 (*.f64 1/6 (pow.f64 x.im 6)) (pow.f64 x.re 6)) (log.f64 x.re)))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(neg.f64 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(+.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))))
(fma.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))) (/.f64 (.f64 1/2 (.f64 y.re (.f64 x.im x.im))) (*.f64 x.re x.re)))
(-.f64 (.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im))) (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(-.f64 (.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im)))) (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(-.f64 (.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 (.f64 x.im x.im) x.re))) (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.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)))))
(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 (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.im 4)) (pow.f64 x.re 4)))) (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(-.f64 (fma.f64 -1/4 (.f64 (pow.f64 x.im 4) (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im))))) (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(-.f64 (.f64 (.f64 (/.f64 y.re x.re) (/.f64 (.f64 x.im x.im) x.re)) (+.f64 1/2 (/.f64 -1/4 (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re))))) (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.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))))))
(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)))))))
(fma.f64 1/720 (/.f64 y.re (/.f64 (pow.f64 x.re 6) (.f64 (pow.f64 x.im 6) 120))) (-.f64 (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.im 4)) (pow.f64 x.re 4)))) (*.f64 y.re (log.f64 (/.f64 -1 x.re)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im))) (fma.f64 -1/4 (.f64 (pow.f64 x.im 4) (/.f64 y.re (pow.f64 x.re 4))) (.f64 (/.f64 y.re (pow.f64 x.re 6)) (.f64 1/6 (pow.f64 x.im 6))))) (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 (.f64 (/.f64 y.re x.re) (/.f64 (.f64 x.im x.im) x.re)) (+.f64 1/2 (/.f64 -1/4 (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re))))) (.f64 y.re (-.f64 (/.f64 (.f64 1/6 (pow.f64 x.im 6)) (pow.f64 x.re 6)) (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.re (log.f64 x.re))
(neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))
(*.f64 (neg.f64 (log.f64 x.re)) (neg.f64 y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re)))
(fma.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im))) (*.f64 y.re (neg.f64 (log.f64 x.re))))
(fma.f64 y.re (log.f64 x.re) (.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im)))))
(fma.f64 y.re (log.f64 x.re) (.f64 1/2 (.f64 (/.f64 y.re x.re) (/.f64 (*.f64 x.im x.im) x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.re))))
(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))) (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))))
(-.f64 (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.im 4)) (pow.f64 x.re 4)))) (.f64 y.re (neg.f64 (log.f64 x.re))))
(fma.f64 y.re (log.f64 x.re) (fma.f64 -1/4 (.f64 (pow.f64 x.im 4) (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/2 (*.f64 (/.f64 y.re x.re) (/.f64 x.im (/.f64 x.re x.im))))))
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(-.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)))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 1/2 y.re) (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 1/2 (.f64 (/.f64 x.re (.f64 (/.f64 x.im y.re) x.im)) x.re)) (fma.f64 y.re (log.f64 (/.f64 -1 x.im)) (.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (-.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)) (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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.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)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.re)) (fma.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.re) (-.f64 (/.f64 (.f64 (.f64 1/2 y.re) (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 y.re (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 x.re (.f64 (/.f64 x.im y.re) x.im)) x.re) (.f64 -1/4 (/.f64 y.re (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))) (fma.f64 y.re (log.f64 (/.f64 -1 x.im)) (.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (+.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)) (/.f64 (.f64 -1/4 (pow.f64 x.re 4)) (pow.f64 x.im 4)))) (fma.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 (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.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)))
(-.f64 (fma.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.re 6) 120) (/.f64 (pow.f64 x.im 6) y.re)) (fma.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.re)) (.f64 1/2 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (-.f64 (fma.f64 1/720 (.f64 (/.f64 (.f64 (pow.f64 x.re 6) 120) (pow.f64 x.im 6)) y.re) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.re) (.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.re)))) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 x.re (.f64 (/.f64 x.im y.re) x.im)) x.re) (fma.f64 -1/4 (/.f64 y.re (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (/.f64 1/6 (/.f64 (pow.f64 x.im 6) (.f64 y.re (pow.f64 x.re 6)))))) (fma.f64 y.re (log.f64 (/.f64 -1 x.im)) (.f64 y.im (atan2.f64 x.im x.re))))
(-.f64 (fma.f64 1/2 (.f64 y.re (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re))) (fma.f64 -1/4 (.f64 (/.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)) (.f64 y.re (-.f64 (/.f64 (.f64 1/6 (pow.f64 x.re 6)) (pow.f64 x.im 6)) (log.f64 (/.f64 -1 x.im)))))) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.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))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.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))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.re (log.f64 (hypot.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))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (.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)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.im)
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	14.9b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 102 to 23 computations (77.5% saved)

series82.0ms (0.3%)

Counts

2 → 52

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
19.0ms	y.im	@	0	(*.f64 (log.f64 x.im) y.im)
13.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
13.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
2.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
379×	`pow-prod-down_binary64`
357×	`fma-def_binary64`
320×	`pow2_binary64`
220×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	230	21
2	3034	21

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

506×	`unsub-neg_binary64`
470×	`associate-l_binary64`
434×	`associate-r_binary64`
409×	`distribute-rgt-neg-out_binary64`
333×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	968
1	195	958
2	595	898
3	2753	885
4	5636	885

Stop Event

1×	node limit

Counts

120 → 89

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.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)

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

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
✓	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	33.6b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 133 to 24 computations (82% saved)

series117.0ms (0.4%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
20.0ms	y.im	@	inf	(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
20.0ms	y.im	@	-inf	(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
19.0ms	y.re	@	inf	(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
17.0ms	y.re	@	-inf	(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
9.0ms	x.im	@	0	(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
433×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
304×	`pow2_binary64`
288×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	231	36
2	2689	36

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify197.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-r_binary64`
443×	`times-frac_binary64`
435×	`associate-/l*_binary64`
429×	`fma-def_binary64`
407×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	557	8457
1	1873	7774
2	7931	7774

Stop Event

1×	node limit

Counts

161 → 185

Calls

Call 1

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

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

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
✓	7.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
✓	18.7b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	18.7b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 245 to 71 computations (71% saved)

series129.0ms (0.5%)

Counts

3 → 100

Calls

33 calls:

Time	Variable		Point	Expression
24.0ms	x.re	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
12.0ms	y.im	@	0	(.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
12.0ms	y.im	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
11.0ms	x.im	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
11.0ms	y.re	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))

rewrite68.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

316×	`add-sqr-sqrt_binary64`
313×	`pow1_binary64`
309×	`*-un-lft-identity_binary64`
294×	`add-log-exp_binary64`
293×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	102
1	629	97

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify291.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
738×	`associate-/l*_binary64`
735×	`fma-def_binary64`
404×	`*-commutative_binary64`
328×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	851	18194
1	3161	15819

Stop Event

1×	node limit

Counts

177 → 220

Calls

Call 1

Inputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) (+.f64 (/.f64 (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 2))))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (pow.f64 x.im 2) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))))))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 (pow.f64 x.re 2) (+.f64 (/.f64 (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 2))))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (pow.f64 x.im 2) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))))))) (.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (.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)))) (pow.f64 x.im y.re))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (.f64 -1/2 (/.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 4))))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 2)))))) (.f64 (pow.f64 x.im 2) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (pow.f64 x.re 4))))
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(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))

Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 -1/6 (pow.f64 y.re 3)) (pow.f64 (atan2.f64 x.im x.re) 3)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 1/120 (pow.f64 y.re 5)) (pow.f64 (atan2.f64 x.im x.re) 5))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7)) (.f64 1/120 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 (.f64 1/120 (pow.f64 y.re 5)) (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 (.f64 -1/5040 (pow.f64 y.re 7)) (pow.f64 (atan2.f64 x.im x.re) 7)))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im y.re)))
(.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 (atan2.f64 x.im x.re) y.im 1)) (pow.f64 x.im y.re))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) (+.f64 (/.f64 (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 2))))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (pow.f64 x.im 2) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))))))))
(+.f64 (/.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.im y.re))) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.im y.im) (/.f64 (.f64 x.im x.im) (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 -1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.im x.im) y.im))))) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (/.f64 (.f64 (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 x.im x.im)) (.f64 y.re (pow.f64 x.im y.re))))))))
(fma.f64 (.f64 x.re x.re) (fma.f64 1/2 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (neg.f64 (log.f64 x.im))))) (.f64 (/.f64 (fma.f64 (atan2.f64 x.im x.re) y.im 1) (pow.f64 x.im y.re)) (/.f64 (.f64 x.im x.im) y.re))) (.f64 (/.f64 (pow.f64 x.im y.re) (fma.f64 (atan2.f64 x.im x.re) y.im 1)) (.f64 -1/2 (+.f64 (.f64 (/.f64 (.f64 (.f64 y.im y.im) (log.f64 x.im)) x.im) (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) x.im)) (.f64 (/.f64 y.im x.im) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) x.im)))))) (.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 x.im) 2)) 1) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 (atan2.f64 x.im x.re) y.im 1)) (pow.f64 x.im y.re)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (.f64 (pow.f64 x.re 2) (+.f64 (/.f64 (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 2))))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (pow.f64 x.im 2) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))))))) (.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (.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)))) (pow.f64 x.im y.re))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (.f64 -1/2 (/.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 4))))) (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im y.re) (-.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im) (pow.f64 x.im 2)))))) (.f64 (pow.f64 x.im 2) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))))))) (pow.f64 x.re 4))))
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(+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 1 x.re)) y.im)))))
(fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (neg.f64 (log.f64 x.re)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 x.im x.im))) (/.f64 (.f64 x.re x.re) 1/2))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (neg.f64 (log.f64 x.re)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im)) (pow.f64 x.re 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (/.f64 1 x.re)) y.im))))))
(fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (neg.f64 (log.f64 x.re))))))))
(fma.f64 1/720 (.f64 (/.f64 (.f64 (pow.f64 x.im 6) 120) (pow.f64 x.re 6)) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (-.f64 (fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 x.im x.im))) (/.f64 (.f64 x.re x.re) 1/2))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (neg.f64 (log.f64 x.re))))))
(.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(.f64 (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(-.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 x.im x.im))) (/.f64 (.f64 x.re x.re) 1/2)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re)))))))
(fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 x.im x.im))) (/.f64 (.f64 x.re x.re) 1/2))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im)) (pow.f64 x.re 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re))))))))
(fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re))))))))
(fma.f64 1/720 (.f64 (/.f64 (.f64 (pow.f64 x.im 6) 120) (pow.f64 x.re 6)) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (-.f64 (fma.f64 -1/4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (pow.f64 x.im 4)))) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 x.im x.im))) (/.f64 (.f64 x.re x.re) 1/2))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 -1/6 (pow.f64 y.re 3)) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) y.im) (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y.re 5) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))) (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(fma.f64 1/120 (.f64 (pow.f64 y.re 5) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))))
(fma.f64 1/120 (.f64 (pow.f64 y.re 5) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 -1/6 (pow.f64 y.re 3)) (.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) y.im) (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y.re 5) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))) (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (.f64 (pow.f64 (atan2.f64 x.im x.re) 7) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(fma.f64 1/120 (.f64 (pow.f64 y.re 5) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (fma.f64 -1/5040 (.f64 (pow.f64 y.re 7) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 7) y.im) (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))))
(fma.f64 1/120 (.f64 (pow.f64 y.re 5) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) y.im) (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 -1/5040 (pow.f64 y.re 7)) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 7) y.im) (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

eval1.5s (5.4%)

Compiler: Compiled 74334 to 29533 computations (60.3% saved)

prune463.0ms (1.7%)

Pruning

47 alts after pruning (47 fresh and 0 done)

	Pruned	Kept	Total
New	1163	29	1192
Fresh	9	18	27
Picked	1	0	1
Done	4	0	4
Total	1177	47	1224

Error

3.1b

Counts

1224 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))))))
	47.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	40.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x.im) y.im)) 3) (.f64 y.re (atan2.f64 x.im x.re)))))
	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	22.0b	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	48.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) (sin.f64 1))))
	39.8b	(/.f64 (fma.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) 1) (fma.f64 (atan2.f64 x.im x.re) y.im 1))
	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	45.9b	(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))))
	49.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) 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))))
	52.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (log.f64 x.im) y.im))) 1/3)) (.f64 y.re (atan2.f64 x.im x.re)))))
	27.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2)))
▶	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.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)))))
▶	16.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	17.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3)))
	35.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))
	16.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	16.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	35.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	41.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))
	31.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 3))))
	34.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	28.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	41.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	39.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))))
	41.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))))))
	16.8b	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	11.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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)))))
	16.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	48.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 -1/2 (.f64 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (+.f64 1 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))))) (log1p.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))))))
	16.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.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)))))
	41.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))) (log.f64 (-.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))
▶	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))))
	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))))
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	20.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))
	43.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (-.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	13.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (sqrt.f64 (pow.f64 (.f64 y.im (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)))))
	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))) 1))

Compiler

Compiled 3204 to 1856 computations (42.1% saved)

localize109.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2))
✓	1.5b	(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
✓	8.3b	(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)
	33.6b	(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 190 to 43 computations (77.4% saved)

series891.0ms (3.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
390.0ms	x.re	@	inf	(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)
183.0ms	x.re	@	-inf	(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)
104.0ms	x.im	@	inf	(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)
103.0ms	x.im	@	-inf	(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)
73.0ms	x.im	@	0	(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`prod-diff_binary64`
563×	`log-prod_binary64`
316×	`pow2_binary64`
272×	`fma-def_binary64`
240×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	284	30
2	3191	27

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs

(pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)

(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))

(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2))

Outputs

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

simplify182.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

660×	`fma-def_binary64`
562×	`log-prod_binary64`
308×	`exp-sum_binary64`
265×	`exp-prod_binary64`
250×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	1913
1	112	1425
2	282	818
3	995	787
4	3315	787
5	4709	787
6	6827	787

Stop Event

1×	node limit

Counts

274 → 203

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite45.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`pow1_binary64`
524×	`add-log-exp_binary64`
523×	`log1p-expm1-u_binary64`
523×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	141	7
2	1748	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
9×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	324
1	17	324
2	27	324
3	30	324
4	34	324
5	52	324
6	74	324
7	85	324
8	97	324
9	122	324

Stop Event

1×

saturated

Counts

49 → 16

Calls

Call 1

Inputs
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	22.7b	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 86 to 22 computations (74.4% saved)

series95.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
37.0ms	x.im	@	-inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
14.0ms	x.re	@	0	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
3.0ms	x.im	@	inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
3.0ms	x.re	@	inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
2.0ms	x.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))

rewrite187.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`log-prod_binary64`
687×	`prod-diff_binary64`
314×	`fma-def_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	327	37
2	4164	37

Stop Event

1×	node limit

Counts

3 → 78

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

Outputs

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

simplify324.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-r_binary64`
416×	`fma-def_binary64`
361×	`*-commutative_binary64`
352×	`associate-/l*_binary64`
352×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	6806
1	1700	6009
2	6532	5745

Stop Event

1×	node limit

Counts

198 → 247

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)))))
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(+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.im 4)))))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2))))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (pow.f64 y.im 4)))))))

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

localize78.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))))
✓	0.3b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	14.9b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))

Compiler

Compiled 119 to 24 computations (79.8% saved)

series109.0ms (0.4%)

Counts

3 → 140

Calls

36 calls:

Time	Variable		Point	Expression
80.0ms	y.im	@	inf	(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))))
3.0ms	y.re	@	0	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))
2.0ms	x.im	@	inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
2.0ms	x.re	@	inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
2.0ms	x.re	@	-inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
107×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	215	43
2	2435	43

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify154.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

506×	`unsub-neg_binary64`
471×	`associate-l_binary64`
432×	`associate-r_binary64`
409×	`distribute-rgt-neg-out_binary64`
332×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	2421
1	198	2401
2	597	2345
3	2748	2319
4	5631	2319

Stop Event

1×	node limit

Counts

203 → 70

Calls

Call 1

Inputs
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.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))))
(cos.f64 (fma.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))))
(cos.f64 (fma.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))))
(cos.f64 (fma.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))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (fma.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))))
(cos.f64 (fma.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 y.im (log.f64 x.im))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 x.im) y.im)
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 x.im) y.im)
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))
(+.f64 (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (sin.f64 (.f64 (log.f64 x.im) y.im))))) (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (*.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))))
(cos.f64 (fma.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))))
(cos.f64 (fma.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))))
(cos.f64 (fma.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))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 (log.f64 x.im) 2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(cos.f64 (fma.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))))
(cos.f64 (fma.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))))

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

localize115.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3)
✓	0.9b	(cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	33.6b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))

Compiler

Compiled 173 to 34 computations (80.3% saved)

series674.0ms (2.5%)

Counts

3 → 128

Calls

36 calls:

Time	Variable		Point	Expression
165.0ms	y.re	@	inf	(cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
104.0ms	x.im	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3)
84.0ms	y.im	@	-inf	(cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
52.0ms	x.re	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3)
37.0ms	x.im	@	0	(cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
346×	`pow2_binary64`
288×	`prod-diff_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	299	60
2	3196	60

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

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

(cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3)

Outputs

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

simplify995.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

695×	`*-commutative_binary64`
405×	`distribute-rgt-in_binary64`
279×	`+-commutative_binary64`
256×	`associate-r_binary64`
247×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1506	53753
1	6082	48626

Stop Event

1×	node limit

Counts

209 → 276

Calls

Call 1

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

Outputs
(cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(fma.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))
(-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))) (fma.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))))
(fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (cos.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)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))) (fma.f64 -1 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (fma.f64 -1/2 (.f64 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (cos.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)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.re 4)))) (pow.f64 x.im 4))))
(+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im)))) (.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (sin.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re)))))))) (pow.f64 x.im 4)))
(+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (fma.f64 -1/8 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im))) (.f64 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))))) 1/4)) (pow.f64 x.im 4)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 (pow.f64 x.im 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 6))) (.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))) (.f64 1/6 (/.f64 y.im (pow.f64 x.re 6)))) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (fma.f64 (pow.f64 x.im 6) (fma.f64 1/8 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re 6) (.f64 y.im y.im))) (neg.f64 (.f64 (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6)) (/.f64 (.f64 1/6 y.im) (pow.f64 x.re 6)))))) (+.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 -1/8 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im)))) (.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))))))) (pow.f64 x.im 4)))))
(fma.f64 -1/2 (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (fma.f64 (pow.f64 x.im 6) (fma.f64 1/8 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re 6) (.f64 y.im y.im))) (.f64 (sin.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (fma.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6)) (/.f64 (.f64 1/6 y.im) (pow.f64 x.re 6)))))) (+.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (fma.f64 -1/8 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im))) (.f64 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (sin.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re)))))) 1/4)) (pow.f64 x.im 4)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (.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 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 2))))
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im)))))) (.f64 -1/2 (/.f64 (.f64 (.f64 y.im (.f64 x.re x.re)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.im))))))) (*.f64 x.im x.im))))
(+.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (.f64 -1/2 (/.f64 (.f64 (.f64 y.im (.f64 x.re x.re)) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))) (*.f64 x.im x.im))))
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(pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 5)) 1/18)) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (fma.f64 1/2 (-.f64 (/.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))) (.f64 -1/3 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (.f64 (pow.f64 (/.f64 1 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1/18))))))))) (.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) (.f64 (cbrt.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (fma.f64 2/3 (.f64 (-.f64 (.f64 1/6 (fma.f64 -3 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))) (+.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))) (.f64 -2 (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 5)) 1/18)) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (fma.f64 1/2 (-.f64 (/.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))) (.f64 -1/3 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (.f64 (pow.f64 (/.f64 1 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1/18))))))))) (.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) (cbrt.f64 (/.f64 1 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 -2/9 (/.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8)) 1/18)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (fma.f64 1/2 (-.f64 (/.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))) (.f64 -1/3 (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (/.f64 (pow.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (.f64 (pow.f64 (/.f64 1 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1/18)))))))) (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))))) (log1p.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 1 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))

eval2.7s (9.9%)

Compiler: Compiled 109156 to 49984 computations (54.2% saved)

prune389.0ms (1.4%)

Pruning

52 alts after pruning (51 fresh and 1 done)

	Pruned	Kept	Total
New	931	26	957
Fresh	17	25	42
Picked	1	0	1
Done	3	1	4
Total	952	52	1004

Error

3.1b

Counts

1004 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	40.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x.im) y.im)) 3) (.f64 y.re (atan2.f64 x.im x.re)))))
	41.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))))))
	22.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.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)))))))
	11.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	48.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))) (sin.f64 1))))
	39.8b	(/.f64 (fma.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) 1) (fma.f64 (atan2.f64 x.im x.re) y.im 1))
✓	22.0b	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
	45.9b	(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re)) (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))))
	49.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) 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))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 2/3) (log.f64 (cbrt.f64 (exp.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)))))
	22.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.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))))
	16.8b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	40.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
	39.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
	46.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (.f64 1/3 (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)))))
	17.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 3)))
	30.6b	(.f64 (/.f64 (pow.f64 (exp.f64 y.re) (log.f64 x.re)) (fma.f64 y.im (atan2.f64 x.im x.re) 1)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	16.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	35.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))
	41.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	34.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	16.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.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)))
	16.8b	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	41.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))))))
	16.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	11.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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)))))
	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 x.im) y.im)))))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 3)))
	18.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3) 3)))
	12.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))
	14.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (sqrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2)))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3)))
	40.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))) 3)))
	42.0b	(.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (atan2.f64 x.im x.re)) y.im) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	38.4b	(.f64 (+.f64 (/.f64 1 (fma.f64 y.im (atan2.f64 x.im x.re) 1)) (.f64 (/.f64 y.re (fma.f64 y.im (atan2.f64 x.im x.re) 1)) (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	13.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (sqrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
	16.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	48.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (fma.f64 -1/2 (.f64 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (+.f64 1 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im)))))))) (log1p.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.im)))))))))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3)))
	17.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im))))) 1))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	39.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	38.4b	(.f64 (/.f64 1 (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	20.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	43.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (-.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	41.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))
	37.7b	(.f64 (exp.f64 (-.f64 (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)) 1)

Compiler

Compiled 1712 to 1018 computations (40.5% saved)

regimes718.0ms (2.6%)

Counts

104 → 3

Calls

Call 1

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

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1))

(*.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 (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))) 1)

Calls

5 calls:

287.0ms	y.re
128.0ms	x.re
114.0ms	y.im
79.0ms	x.im
19.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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
5.4b	2	`x.re`
6.6b	1	`x.im`
4.0b	3	`y.re`
5.6b	2	`y.im`
4.6b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 3062 to 823 computations (73.1% saved)

bsearch92.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	0.014178889925806909	111851636.83320953
85.0ms	-0.001362077441886418	-1.3149277359817612e-6

Compiler

Compiled 103 to 58 computations (43.7% saved)

regimes430.0ms (1.6%)

Counts

54 → 3

Calls

Call 1

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

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))) (-.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1))

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

Calls

5 calls:

104.0ms	y.im
103.0ms	x.re
99.0ms	x.im
76.0ms	y.re
10.0ms	(.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
5.3b	4	`x.re`
7.0b	3	`x.im`
4.7b	3	`y.re`
5.8b	3	`y.im`
5.8b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 1246 to 369 computations (70.4% saved)

bsearch133.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	2.2657485205071142e-9	0.014178889925806909
69.0ms	-8.823557581201832e-9	-4.155645041187549e-11

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes227.0ms (0.8%)

Counts

29 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

67.0ms	x.re
59.0ms	y.im
49.0ms	x.im
37.0ms	y.re

Results

Error	Segments	Branch
6.7b	5	`x.re`
7.5b	3	`x.im`
4.7b	3	`y.re`
6.8b	3	`y.im`

Compiler

Compiled 544 to 185 computations (66% saved)

bsearch121.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	2.2657485205071142e-9	0.014178889925806909
60.0ms	-8.823557581201832e-9	-4.155645041187549e-11

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes215.0ms (0.8%)

Counts

28 → 3

Calls

Call 1

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

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))) 1)

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

Calls

4 calls:

62.0ms	x.re
53.0ms	y.im
50.0ms	x.im
38.0ms	y.re

Results

Error	Segments	Branch
7.0b	5	`x.re`
7.5b	3	`x.im`
5.0b	3	`y.re`
6.8b	3	`y.im`

Compiler

Compiled 519 to 184 computations (64.5% saved)

bsearch122.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	2.2657485205071142e-9	0.014178889925806909
63.0ms	-8.823557581201832e-9	-4.155645041187549e-11

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes102.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

30.0ms	x.re
25.0ms	x.im
24.0ms	y.im
18.0ms	y.re

Results

Error	Segments	Branch
8.5b	4	`x.re`
7.8b	3	`x.im`
6.6b	3	`y.re`
7.6b	3	`y.im`

Compiler

Compiled 188 to 105 computations (44.1% saved)

bsearch154.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
93.0ms	3.855377815741914e-30	7.791642872010218e-28
60.0ms	-0.001362077441886418	-1.3149277359817612e-6

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes140.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

74.0ms	y.im
26.0ms	x.re
21.0ms	x.im
15.0ms	y.re

Results

Error	Segments	Branch
8.7b	4	`x.re`
7.8b	3	`x.im`
6.9b	3	`y.re`
8.0b	3	`y.im`

Compiler

Compiled 139 to 82 computations (41% saved)

bsearch272.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
142.0ms	3.855377815741914e-30	7.791642872010218e-28
127.0ms	-0.001362077441886418	-1.3149277359817612e-6

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes85.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (-.f64 (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

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

Calls

4 calls:

29.0ms	y.re
21.0ms	x.re
19.0ms	x.im
10.0ms	y.im

Results

Error	Segments	Branch
9.8b	2	`x.re`
9.7b	2	`x.im`
17.1b	3	`y.re`
22.0b	1	`y.im`

Compiler

Compiled 99 to 61 computations (38.4% saved)

bsearch83.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
83.0ms	-2.787537292984551e-301	1.3486085814518505e-292

Compiler

Compiled 85 to 52 computations (38.8% saved)

regimes83.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (-.f64 (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

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

Calls

4 calls:

16.0ms	x.im
16.0ms	x.re
16.0ms	y.re
8.0ms	y.im

Results

Error	Segments	Branch
14.8b	2	`x.re`
16.1b	2	`x.im`
18.6b	2	`y.re`
22.0b	1	`y.im`

Compiler

Compiled 71 to 47 computations (33.8% saved)

bsearch475.0ms (1.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
474.0ms	-2.9420379728045787e-307	2.406478332373485e-306

Compiler

Compiled 304 to 217 computations (28.6% saved)

regimes57.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs

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

(*.f64 (exp.f64 (-.f64 (+.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) 1)) 1)

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

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

Calls

4 calls:

21.0ms	y.re
15.0ms	x.im
9.0ms	y.im
8.0ms	x.re

Results

Error	Segments	Branch
22.0b	1	`x.re`
16.1b	2	`x.im`
19.8b	2	`y.re`
22.0b	1	`y.im`

Compiler

Compiled 58 to 41 computations (29.3% saved)

bsearch590.0ms (2.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
590.0ms	7.498945274424109e-286	5.264538124293902e-260

Compiler

Compiled 400 to 289 computations (27.8% saved)

regimes42.0ms (0.2%)

Accuracy

Total -17.8b remaining (-80.9%)

Threshold costs -17.8b (-80.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (exp.f64 (-.f64 (+.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)) 1)

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

Calls

4 calls:

20.0ms	y.re
7.0ms	x.im
6.0ms	y.im
6.0ms	x.re

Results

Error	Segments	Branch
22.0b	1	`x.re`
22.0b	1	`x.im`
22.0b	1	`y.re`
22.0b	1	`y.im`

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify154.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
12×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`cancel-sign-sub-inv_binary64`
6×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	651
1	134	651
2	152	651
3	158	651
4	161	651
5	162	651

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -25125893979051748/18446744073709551616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 1) (.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 (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))) 1)))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 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))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.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)))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 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))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.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))) 1) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 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))) 1)))
(if (<=.f64 y.re -25125893979051748/18446744073709551616) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re 5634640990236047360/1461501637330902918203684832716283019655932542976) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(if (<=.f64 y.re -25125893979051748/18446744073709551616) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 5634640990236047360/1461501637330902918203684832716283019655932542976) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.im 0) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 1897521124756037/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 7201440561641447/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)

Outputs
(if (<=.f64 y.re -25125893979051748/18446744073709551616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 1) (.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 (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))) 1)))
(if (<=.f64 y.re -6281473494762937/4611686018427387904) (.f64 (+.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 1) (.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))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 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))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (+.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (+.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.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)))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 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))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.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))) 1) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 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))) 1)))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (if (<=.f64 y.re 5478243774389393/2417851639229258349412352) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.re -25125893979051748/18446744073709551616) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re 5634640990236047360/1461501637330902918203684832716283019655932542976) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(if (<=.f64 y.re -6281473494762937/4611686018427387904) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re 2751289546013695/713623846352979940529142984724747568191373312) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(if (<=.f64 y.re -6281473494762937/4611686018427387904) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re 2751289546013695/713623846352979940529142984724747568191373312) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(if (<=.f64 y.re -25125893979051748/18446744073709551616) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 5634640990236047360/1461501637330902918203684832716283019655932542976) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -6281473494762937/4611686018427387904) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) 1)) (if (<=.f64 y.re 2751289546013695/713623846352979940529142984724747568191373312) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1))))
(if (<=.f64 y.re -6281473494762937/4611686018427387904) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) 1)) (if (<=.f64 y.re 2751289546013695/713623846352979940529142984724747568191373312) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1))))
(if (<=.f64 x.im 0) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 0) (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.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))))
(if (<=.f64 x.re 1897521124756037/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 1897521124756037/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(if (<=.f64 x.re 1897521124756037/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(if (<=.f64 x.im 7201440561641447/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 7201440561641447/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(if (<=.f64 x.im 7201440561641447/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))

Compiler

Compiled 463 to 215 computations (53.6% saved)

soundness128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
457×	`associate-/l*_binary64`
323×	`pow-sqr_binary64`
322×	`associate-/r*_binary64`
282×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	39	38
2	76	38
3	126	38
4	286	38
5	1102	38
6	4153	38
7	5785	38
8	6380	38
9	7366	38

Stop Event

1×	node limit

Compiler

Compiled 291 to 151 computations (48.1% saved)

end176.0ms (0.6%)

Compiler: Compiled 427 to 105 computations (75.4% saved)

Iter	Nodes	Cost
0	10	324
1	17	324
2	27	324
3	30	324
4	34	324
5	52	324
6	74	324
7	85	324
8	97	324
9	122	324

Iter	Nodes	Cost
0	10	324
1	17	324
2	27	324
3	30	324
4	34	324
5	52	324
6	74	324
7	85	324
8	97	324
9	122	324

Iter	Nodes	Cost
0	10	324
1	17	324
2	27	324
3	30	324
4	34	324
5	52	324
6	74	324
7	85	324
8	97	324
9	122	324