Details

analyze986.0ms (2.4%)

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)

sample7.4s (18.2%)

Results

2.8s	7889×	body	256	valid
2.6s	2623×	body	1024	invalid
700.0ms	910×	body	512	invalid
645.0ms	190×	body	2048	invalid
246.0ms	840×	body	256	invalid
158.0ms	174×	body	1024	valid
107.0ms	173×	body	512	valid
24.0ms	20×	body	2048	valid

preprocess77.0ms (0.2%)

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify74.0ms (0.2%)

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

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

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

6.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	32.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

9.6b

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

▶

32.2b

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

Compiler

Compiled 70 to 34 computations (51.4% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	35.4b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series56.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`log-prod_binary64`
550×	`fma-def_binary64`
306×	`expm1-udef_binary64`
306×	`log1p-udef_binary64`
270×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	341	36
2	4581	36

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 1) (.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 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(sqrt.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 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))))))

simplify131.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

709×	`associate-+l+_binary64`
588×	`associate-+r+_binary64`
433×	`associate-*l/_binary64`
387×	`associate-*r/_binary64`
364×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	4309
1	973	3966
2	3560	3792

Stop Event

1×	node limit

Counts

226 → 198

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 6))) (.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))) (.f64 1/6 (/.f64 y.im (pow.f64 x.re 6)))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 6)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 4))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))) (pow.f64 x.im 6)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 x.re 6) (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 4))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 2))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 4))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 6)) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 6) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 4))))))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.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
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 x.im x.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (/.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))
(fma.f64 1/2 (.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 (.f64 y.im (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) x.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 x.im x.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 4) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (/.f64 (.f64 -1/4 (.f64 y.im (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 4)))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (/.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.im 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(fma.f64 1/2 (.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 (.f64 y.im (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) x.im)) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 (/.f64 -1/4 (pow.f64 x.im 4)) (.f64 y.im (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 x.im x.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (fma.f64 (pow.f64 x.re 6) (fma.f64 1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 6) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (fma.f64 1/6 (/.f64 y.im (pow.f64 x.im 6)) (/.f64 (.f64 -1/48 (pow.f64 y.im 3)) (pow.f64 x.im 6))))) (.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.im 4) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (/.f64 (.f64 -1/4 (.f64 y.im (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 4))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (/.f64 (.f64 x.im x.im) y.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.im 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (.f64 (pow.f64 x.re 6) (fma.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (fma.f64 1/6 (/.f64 y.im (pow.f64 x.im 6)) (/.f64 (.f64 -1/48 (pow.f64 y.im 3)) (pow.f64 x.im 6))) (.f64 1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 6)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))))
(+.f64 (.f64 (pow.f64 x.re 6) (fma.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) (fma.f64 1/6 (/.f64 y.im (pow.f64 x.im 6)) (.f64 (/.f64 -1/48 (pow.f64 x.im 6)) (pow.f64 y.im 3))) (.f64 (/.f64 (.f64 (.f64 y.im y.im) 1/8) (pow.f64 x.im 6)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (fma.f64 1/2 (.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 (.f64 y.im (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) x.im)) (fma.f64 (pow.f64 x.re 4) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 (/.f64 -1/4 (pow.f64 x.im 4)) (.f64 y.im (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re)))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(+.f64 (sin.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (.f64 y.im (.f64 x.im x.im)) (cos.f64 (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 x.re x.re))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.im (.f64 x.im y.im)) x.re) (/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) x.re)) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.im (.f64 x.im y.im)) x.re) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.re)))) x.re)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.re)))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))))
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(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.im (.f64 x.im y.im)) x.re) (/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) x.re)) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re)))))) (fma.f64 -1/8 (/.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))) (/.f64 (pow.f64 x.re 4) (.f64 y.im (.f64 y.im (pow.f64 x.im 4))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.im 4) (.f64 y.im (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.re))))))) (pow.f64 x.re 4)))))
(fma.f64 (pow.f64 x.im 4) (fma.f64 -1/8 (.f64 (/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)) (.f64 y.im y.im)) (.f64 (/.f64 (.f64 y.im -1/4) (pow.f64 x.re 4)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.re)))))) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.im (.f64 x.im y.im)) x.re) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.re)))) x.re)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.re))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))))))))
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(fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) y.re)) (.f64 (+.f64 (.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2)))) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 -1/6 (.f64 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2)))) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.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)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))
(fma.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re) x.re))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) 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 (/.f64 x.im x.re) x.im) x.re)) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re)) x.re)
(-.f64 (.f64 -1/2 (.f64 (/.f64 x.im 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 (*.f64 x.im x.im) x.re) (fma.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (neg.f64 x.re)))
(fma.f64 -1/2 (*.f64 (/.f64 x.im x.re) x.im) (-.f64 (/.f64 1/8 (/.f64 (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 (*.f64 x.im x.im) x.re) (fma.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (neg.f64 x.re))))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 -1/2 (*.f64 (/.f64 x.im x.re) x.im) (-.f64 (/.f64 1/8 (/.f64 (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 (*.f64 x.im x.im) x.re) x.re)
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 (*.f64 x.im x.im) x.re) x.re))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) 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 (/.f64 x.im x.re) x.im) x.re)) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im)))
(-.f64 (*.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re))) x.im)
(fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(fma.f64 -1 x.im (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im))))
(-.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 (*.f64 (pow.f64 x.re 4) 1/8) (pow.f64 x.im 3))) x.im)
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (*.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)))) 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 (*.f64 (pow.f64 x.re 4) 1/8) (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 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (*.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re))))) 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))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	35.4b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series177.0ms (0.4%)

Counts

4 → 68

Calls

36 calls:

Time	Variable		Point	Expression
53.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
35.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
34.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
16.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
14.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log-prod_binary64`
370×	`pow-prod-down_binary64`
339×	`pow2_binary64`
290×	`pow-pow_binary64`
252×	`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 → 106

Calls

Call 1

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

simplify115.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

944×	`associate-/r*_binary64`
646×	`associate-+l+_binary64`
561×	`associate-+r+_binary64`
375×	`associate-*l/_binary64`
354×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3451
1	860	3249
2	3263	3073

Stop Event

1×	node limit

Counts

174 → 172

Calls

Call 1

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

eval428.0ms (1.1%)

Compiler: Compiled 21722 to 6385 computations (70.6% saved)

prune206.0ms (0.5%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	401	31	432
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	403	31	434

Error

3.9b

Counts

434 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	43.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	30.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
	30.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))
▶	24.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	30.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	48.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2))))
	22.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
	17.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	37.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))
	17.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	40.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.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 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	21.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	43.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	40.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	45.5b	(.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 (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))))) (cos.f64 1)) (.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))))) (sin.f64 1))))
	17.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
▶	27.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	27.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))))
	42.8b	(.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))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2))
	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	22.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (-.f64 (.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))))) (cos.f64 1)) (.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))))) (sin.f64 1))))
	30.5b	(.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 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1))
▶	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	19.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	10.5b	(.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)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	17.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (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))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	25.1b	(.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))) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)))
	42.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 2278 to 1258 computations (44.8% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	35.4b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 99 to 15 computations (84.8% saved)

series13.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	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)))

rewrite55.0ms (0.1%)

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)))))))))

simplify113.0ms (0.3%)

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

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	22.1b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.0b	(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	@	0	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.im	@	inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.im	@	-inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.im	@	0	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite45.0ms (0.1%)

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

Outputs

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

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

998×	`unswap-sqr_binary64`
792×	`sqr-pow_binary64`
739×	`fma-def_binary64`
588×	`cube-prod_binary64`
474×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	124
1	84	124
2	241	124
3	875	124
4	1933	124
5	2596	124
6	3877	124
7	3987	124
8	4129	124
9	4313	124
10	4574	124
11	4966	124
12	5532	124
13	6271	124
14	7221	124
15	7767	124

Stop Event

1×	node limit

Counts

20 → 23

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))))))

Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))))
(.f64 y.re (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.re (*.f64 y.re -1/6)) (atan2.f64 x.im x.re)))
(.f64 y.re (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 -1/6 (*.f64 y.re 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)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 y.re (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.re (.f64 y.re -1/6)) (atan2.f64 x.im x.re)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 1/120 (pow.f64 y.re 5))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/120 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)) (.f64 -1/6 (*.f64 (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 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7)) (.f64 1/120 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/120 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)) (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 1/120 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)) (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 1/120 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 7) (.f64 -1/5040 (pow.f64 y.re 7))))))

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	17.4b	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 97 to 16 computations (83.5% saved)

series186.0ms (0.5%)

Counts

1 → 44

Calls

12 calls:

Time	Variable		Point	Expression
100.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
31.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
25.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
12.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
10.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

rewrite134.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	230	15
2	3036	15

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

655×	`distribute-rgt-neg-out_binary64`
537×	`distribute-lft-out_binary64`
522×	`distribute-lft-neg-out_binary64`
438×	`associate-l_binary64`
409×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	878
1	188	872
2	538	831
3	2432	831
4	4041	829

Stop Event

1×	node limit

Counts

88 → 62

Calls

Call 1

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

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

localize114.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	6.7b	(log.f64 (exp.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	35.4b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 187 to 22 computations (88.2% saved)

series16.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite95.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
433×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
304×	`pow2_binary64`
252×	`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 → 77

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 1/3 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 2 (*.f64 1/3 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 1/2 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (log.f64 (pow.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 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (*.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) 1)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) 1)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 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simplify281.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

944×	`associate-/r*_binary64`
625×	`associate-+l+_binary64`
549×	`associate-+r+_binary64`
375×	`associate-*l/_binary64`
354×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	6744
1	829	6344
2	3127	5996

Stop Event

1×	node limit

Counts

173 → 99

Calls

Call 1

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

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

localize90.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	6.7b	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
✓	35.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 148 to 25 computations (83.1% saved)

series219.0ms (0.5%)

Counts

2 → 92

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	y.re	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
32.0ms	y.re	@	inf	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
31.0ms	y.im	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
29.0ms	y.im	@	inf	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
14.0ms	x.re	@	inf	(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))

rewrite119.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
390×	`prod-diff_binary64`
350×	`pow2_binary64`
244×	`pow1/3_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	294	36
2	3262	36

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs

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

(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))

Outputs

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

simplify257.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

844×	`associate-r_binary64`
680×	`fma-def_binary64`
563×	`associate-l_binary64`
543×	`*-commutative_binary64`
332×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	584	10077
1	1945	9474

Stop Event

1×	node limit

Counts

178 → 143

Calls

Call 1

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

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

eval732.0ms (1.8%)

Compiler: Compiled 45485 to 15504 computations (65.9% saved)

prune241.0ms (0.6%)

Pruning

48 alts after pruning (48 fresh and 0 done)

	Pruned	Kept	Total
New	812	42	854
Fresh	20	6	26
Picked	1	0	1
Done	4	0	4
Total	837	48	885

Error

3.1b

Counts

885 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	24.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	40.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) 3))
▶	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	24.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (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)))))))
	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	44.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	48.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2))))
	37.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))
	37.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (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))))
	40.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	21.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
▶	17.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	45.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.im x.re) x.im) x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	40.8b	(.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)))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	43.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	29.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))
	46.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (+.f64 1 (expm1.f64 (-.f64 (.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))))) (cos.f64 1)) (.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))))) (sin.f64 1)))))))
	21.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (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)))
	43.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1))
	10.5b	(.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)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	47.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))))))
	30.5b	(.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)))))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
	45.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.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))))) (cos.f64 1)) (.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))))) (sin.f64 1))))
	22.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	44.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 x.im))))
	38.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.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))))))))
	28.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)))))
▶	43.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	27.8b	(.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))) (log.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	43.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	40.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	43.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.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)))))))
▶	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	30.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 1/3 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))
	46.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (-.f64 (.f64 1/2 (/.f64 x.re (*.f64 x.im (/.f64 x.im x.re)))) (log.f64 (/.f64 -1 x.im)))))))
	47.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))))))
	44.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 2)))
	35.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
	56.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))))
	52.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) 2))
	28.1b	(.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))

Compiler

Compiled 3252 to 1848 computations (43.2% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
✓	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	35.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 117 to 20 computations (82.9% saved)

series29.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
21.0ms	y.im	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
0.0ms	y.re	@	0	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
0.0ms	y.im	@	inf	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
0.0ms	y.re	@	inf	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))

rewrite74.0ms (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	25
1	194	25
2	2267	25

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-/l/_binary64`
734×	`fma-def_binary64`
546×	`associate-+l+_binary64`
367×	`cancel-sign-sub-inv_binary64`
359×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	2504
1	467	2220
2	1347	2132
3	5389	2093

Stop Event

1×	node limit

Counts

118 → 119

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	22.1b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series27.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`pow1_binary64`
414×	`add-sqr-sqrt_binary64`
409×	`*-un-lft-identity_binary64`
397×	`add-log-exp_binary64`
397×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	95	6
2	1101	6

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify183.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
587×	`associate--r-_binary64`
392×	`distribute-rgt-in_binary64`
373×	`associate--l-_binary64`
366×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	144
1	39	144
2	72	144
3	155	144
4	310	144
5	810	144
6	2138	144
7	3438	144
8	3716	144
9	3806	144
10	3834	144
11	3838	144
12	6964	144
13	7293	144
14	7583	144
15	7836	144
16	7960	144
17	7960	144

Stop Event

1×	node limit

Counts

38 → 17

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))

Outputs
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(*.f64 y.re (log.f64 x.im))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x.re x.im)
	0.2b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	35.4b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 79 to 17 computations (78.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

360×	`pow1_binary64`
343×	`add-sqr-sqrt_binary64`
339×	`*-un-lft-identity_binary64`
329×	`add-log-exp_binary64`
329×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	79	4
2	911	4

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(hypot.f64 x.re x.im)

Outputs

((#(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 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x.re x.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x.re x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (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 (cbrt.f64 (hypot.f64 x.re x.im)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 4) 1/2))))) (#(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 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) 1/4) (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x.re x.im) 1/4) (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 5/2)) (pow.f64 (hypot.f64 x.re x.im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x.re x.im) (cbrt.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 5)) (pow.f64 (hypot.f64 x.re x.im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3/2)) (pow.f64 (hypot.f64 x.re x.im) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (hypot.f64 x.re x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x.re x.im) (cbrt.f64 (hypot.f64 x.re x.im))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 5/2) 1/3) (pow.f64 (hypot.f64 x.re x.im) 1/6))))) (#(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 (hypot.f64 x.re x.im) 3/2) 1/2) (pow.f64 (hypot.f64 x.re x.im) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 4) 1/2) (cbrt.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 5) 1/2) (pow.f64 (hypot.f64 x.re x.im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (*.f64 x.re x.im) 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 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 (pow.f64 (hypot.f64 x.re x.im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (hypot.f64 x.re x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x.re x.im) 4) 1/4)))) (#(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 (pow.f64 (cbrt.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 sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) 2))))) (#(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 cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))) (#(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 (*.f64 3 (log.f64 (hypot.f64 x.re x.im))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x.re x.im))) 1/2))))))

simplify55.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

774×	`unswap-sqr_binary64`
754×	`associate-*l/_binary64`
615×	`associate-*r/_binary64`
367×	`fma-neg_binary64`
320×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	475
1	191	458
2	557	454
3	2294	454
4	6258	454

Stop Event

1×	node limit

Counts

69 → 75

Calls

Call 1

Inputs
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))

Outputs
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im)
(fma.f64 1/2 (*.f64 x.re (/.f64 x.re 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))
(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))
(fma.f64 1/2 (*.f64 x.re (/.f64 x.re x.im)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(fma.f64 1/2 (*.f64 x.re (/.f64 x.re x.im)) (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 (*.f64 x.im x.im) x.re) x.re)
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) 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 (*.f64 x.im x.im) x.re) x.re))
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) 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)) (fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) 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)) (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) x.re)))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (.f64 (/.f64 (.f64 x.im x.im) x.re) -1/2) x.re)
(fma.f64 (*.f64 (/.f64 x.im x.re) x.im) -1/2 (neg.f64 x.re))
(-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8)))
(fma.f64 (/.f64 (.f64 x.im x.im) x.re) -1/2 (-.f64 (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8) x.re))
(fma.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8 (fma.f64 (*.f64 (/.f64 x.im x.re) x.im) -1/2 (neg.f64 x.re)))
(-.f64 (/.f64 1/8 (/.f64 (pow.f64 x.re 3) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 (/.f64 (.f64 x.im x.im) x.re) -1/2 (-.f64 (.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8) x.re)))
(fma.f64 (*.f64 (/.f64 x.im x.re) x.im) -1/2 (-.f64 (fma.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 1/8 (/.f64 -1/16 (/.f64 (pow.f64 x.re 5) (pow.f64 x.im 6)))) x.re))
(-.f64 (fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re))) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) 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 (*.f64 x.im x.im) x.re) x.re)
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) 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 (*.f64 x.im x.im) x.re) x.re))
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) 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)) (fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) 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)) (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) 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)
(fma.f64 1/2 (*.f64 x.re (/.f64 x.re 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))
(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))
(fma.f64 1/2 (*.f64 x.re (/.f64 x.re x.im)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(fma.f64 1/2 (*.f64 x.re (/.f64 x.re x.im)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im))
(-.f64 (/.f64 (.f64 (.f64 x.re x.re) -1/2) x.im) x.im)
(-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)
(fma.f64 (/.f64 -1/2 x.im) (*.f64 x.re x.re) (neg.f64 x.im))
(fma.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im) (neg.f64 x.im))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(fma.f64 -1 x.im (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im)))
(-.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (*.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8)) x.im)
(-.f64 (fma.f64 (.f64 (/.f64 x.re x.im) x.re) -1/2 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8)) x.im)
(-.f64 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 3) 1/8)) (fma.f64 1/2 (*.f64 x.re (/.f64 x.re x.im)) x.im))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(fma.f64 -1 x.im (fma.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (*.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8))) x.im)
(-.f64 (fma.f64 (.f64 (/.f64 x.re x.im) x.re) -1/2 (fma.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) 1/8 (.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16))) x.im)
(-.f64 (fma.f64 (*.f64 x.re (/.f64 x.re x.im)) -1/2 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 3) 1/8))) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im))

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	35.4b	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 193 to 45 computations (76.7% saved)

series66.0ms (0.2%)

Counts

1 → 32

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
16.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
394×	`fma-def_binary64`
387×	`pow2_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	319	18
2	3783	18

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify132.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-*l/_binary64`
576×	`associate-*r/_binary64`
372×	`associate-+l+_binary64`
351×	`associate-r_binary64`
330×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	2366
1	967	1970
2	3928	1895

Stop Event

1×	node limit

Counts

73 → 74

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (*.f64 (pow.f64 1 1/3) x.im)) y.im)))
(+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 x.re 2) (.f64 y.im (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))))))) x.im)))
(+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 x.re 2) (.f64 y.im (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))))))) x.im)) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 x.im 2)))) (.f64 24 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x.im 3)))) (.f64 (pow.f64 (.f64 1 x.im) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x.im 10)) 1/3)))))) x.im)))) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) y.im))) (.f64 -1/2 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (.f64 (pow.f64 1 1/3) x.im)) y.im))) (.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 x.im)))) 2) (pow.f64 y.im 2))) (pow.f64 x.im 2))))))))
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(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/3) 3)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))

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

localize83.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	6.7b	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)
	35.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 148 to 22 computations (85.1% saved)

series419.0ms (1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
214.0ms	y.im	@	inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)
38.0ms	y.re	@	inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)
38.0ms	y.re	@	-inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)
33.0ms	y.im	@	-inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)
16.0ms	x.re	@	-inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)

rewrite114.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
387×	`prod-diff_binary64`
347×	`pow2_binary64`
242×	`pow1/3_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	295	18
2	3280	18

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 1)

Outputs

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

simplify249.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-r_binary64`
476×	`associate-l_binary64`
463×	`fma-def_binary64`
442×	`times-frac_binary64`
382×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	9861
1	1965	9266

Stop Event

1×	node limit

Counts

95 → 113

Calls

Call 1

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

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

eval987.0ms (2.4%)

Compiler: Compiled 61780 to 24248 computations (60.8% saved)

prune365.0ms (0.9%)

Pruning

54 alts after pruning (54 fresh and 0 done)

	Pruned	Kept	Total
New	1082	39	1121
Fresh	28	15	43
Picked	1	0	1
Done	4	0	4
Total	1115	54	1169

Error

3.1b

Counts

1169 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	43.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	24.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	45.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (-.f64 (.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))))) (cos.f64 1)) (.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))))) (sin.f64 1))))) 1))
	40.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im)))) 3))
	40.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))
	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (sqrt.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)) (sqrt.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)) -1))
	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	14.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	15.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
▶	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1))
	29.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)) 2) (cbrt.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)) -1))
	40.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))) 3))) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	43.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	41.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3))))
	40.8b	(.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)))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	35.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))
	48.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (.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))))) (cos.f64 1)) (.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))))) (sin.f64 1))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 0 (.f64 3 (.f64 1/3 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
	29.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1))
	14.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	42.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	47.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (-.f64 (.f64 1/2 (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (log.f64 (/.f64 -1 x.im)))))))
	47.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	42.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	21.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	25.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3)))))))
	35.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	10.5b	(.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)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	30.5b	(.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)))))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))))
	24.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	42.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.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))))))))
▶	44.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 x.im))))
▶	27.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	30.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)))) 1))
	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1)))
	38.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))))
	43.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	53.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	15.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	41.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
	27.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 1/3 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 1))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.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 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 2) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1))))
	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (+.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	43.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	47.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))))))
	44.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) 2)))
	28.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1) (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))
	43.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))

Compiler

Compiled 3586 to 2074 computations (42.2% saved)

localize57.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)
✓	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	35.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))

Compiler

Compiled 233 to 46 computations (80.3% saved)

series25.0ms (0.1%)

Counts

3 → 128

Calls

36 calls:

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

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
352×	`pow-prod-down_binary64`
334×	`pow2_binary64`
324×	`prod-diff_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	257	55
2	3087	55

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify182.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

513×	`associate-*l/_binary64`
495×	`associate-/r/_binary64`
437×	`associate-+r+_binary64`
415×	`fma-def_binary64`
413×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	8014
1	1441	7490
2	4867	7140

Stop Event

1×	node limit

Counts

234 → 269

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 x.re x.im)
✓	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	1.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	22.1b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 51 to 15 computations (70.6% saved)

series28.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x.re	@	-inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
4.0ms	x.re	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
3.0ms	x.im	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
3.0ms	x.re	@	0	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
3.0ms	x.im	@	0	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

rewrite217.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
398×	`exp-prod_binary64`
315×	`pow-prod-down_binary64`
283×	`pow2_binary64`
276×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	246	18
2	2652	18

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify187.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/l*_binary64`
703×	`associate-/r*_binary64`
372×	`distribute-rgt-in_binary64`
371×	`distribute-lft-in_binary64`
303×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2613
1	756	2524
2	2931	2267

Stop Event

1×	node limit

Counts

70 → 89

Calls

Call 1

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

Outputs
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re)))) (pow.f64 x.im 2))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 x.re x.re) (.f64 y.re (pow.f64 x.im y.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re) (.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 x.im x.im)) (.f64 y.re (.f64 (.f64 x.re x.re) (pow.f64 x.im y.re))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re) (.f64 (/.f64 1/2 x.im) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 x.im (.f64 y.re (.f64 (.f64 x.re x.re) (pow.f64 x.im y.re)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re)))) (pow.f64 x.im 2))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 x.re x.re) (.f64 y.re (pow.f64 x.im y.re))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (/.f64 (*.f64 y.re y.re) (pow.f64 x.im 4)))))) (pow.f64 x.im y.re))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4))))) (pow.f64 x.im y.re)) (.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 x.im x.im)) (.f64 y.re (.f64 (*.f64 x.re x.re) (pow.f64 x.im y.re))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 (pow.f64 x.re 4) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (/.f64 y.re (/.f64 (pow.f64 x.im 4) -1/4)))) 1) (pow.f64 x.im y.re)) (.f64 (/.f64 1/2 x.im) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 x.im (.f64 y.re (.f64 (*.f64 x.re x.re) (pow.f64 x.im y.re)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re)))) (pow.f64 x.im 2))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.im 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 6) (pow.f64 x.im y.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))
(fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.im x.im) (.f64 (.f64 x.re x.re) (.f64 y.re (pow.f64 x.im y.re))))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))))) (fma.f64 (fma.f64 -1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.im y.re) (pow.f64 x.re 6))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))
(+.f64 (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (pow.f64 x.re 4) (.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4))))) (pow.f64 x.im y.re)) (.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 x.im x.im)) (.f64 y.re (.f64 (.f64 x.re x.re) (pow.f64 x.im y.re)))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 (pow.f64 x.im y.re) (pow.f64 x.re 6)) (fma.f64 -1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (*.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 y.re (pow.f64 x.im y.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x.re 4) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (/.f64 y.re (/.f64 (pow.f64 x.im 4) -1/4)))) 1) (pow.f64 x.im y.re)) (.f64 (fma.f64 -1/8 (.f64 (/.f64 y.re (pow.f64 x.im 6)) y.re) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (/.f64 (.f64 1/48 (pow.f64 y.re 3)) (pow.f64 x.im 6)))) (*.f64 (pow.f64 x.im y.re) (pow.f64 x.re 6))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.re) (log.f64 x.re)))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.re)))))))) (pow.f64 x.re 2))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re))))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 (.f64 x.im x.im) (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))))))) (.f64 x.re x.re))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re))) (.f64 1/2 (/.f64 (.f64 (.f64 y.re (.f64 (.f64 x.im x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re)))) (.f64 x.re x.re))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.re) (log.f64 x.re)) (.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 x.re (/.f64 (.f64 x.im x.im) (/.f64 x.re (*.f64 y.re (pow.f64 (exp.f64 y.re) (log.f64 x.re)))))))))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))) (pow.f64 x.re 4)) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 (pow.f64 x.im 2) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))))) (pow.f64 x.re 2)))))
(+.f64 (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re))))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 (.f64 x.im x.im) (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))))))) (.f64 x.re x.re)))) (/.f64 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 (.f64 1/8 (.f64 y.re y.re)) (pow.f64 x.im 4)))) (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))))) (pow.f64 x.re 4)))
(+.f64 (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re))) (.f64 1/2 (/.f64 (.f64 (.f64 y.re (.f64 (.f64 x.im x.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re)))) (.f64 x.re x.re)))) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re 4)) (.f64 (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re))) (.f64 (pow.f64 x.im 4) (+.f64 (.f64 y.re -1/4) (.f64 1/8 (*.f64 y.re y.re)))))))
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(fma.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 x.im x.im)) (.f64 y.re (.f64 (.f64 x.re x.re) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re))))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im 4)) (.f64 (.f64 (pow.f64 x.re 4) (.f64 y.re (+.f64 -1/4 (*.f64 1/8 y.re)))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))))) (pow.f64 x.im 2))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 2))) (.f64 1/720 (.f64 y.re (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))))))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))) (pow.f64 x.im 6)) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re))) (exp.f64 (.f64 -1 (*.f64 y.re (log.f64 (/.f64 -1 x.im))))))) (pow.f64 x.im 4)))))
(fma.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 x.re x.re) (.f64 y.re (exp.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.im)))))))) (.f64 x.im x.im)) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.im))))) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (fma.f64 1/8 (.f64 (pow.f64 x.re 4) (.f64 y.re y.re)) (.f64 -1/4 (.f64 y.re (pow.f64 x.re 4)))) (exp.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.im))))))) (pow.f64 x.im 4)) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (fma.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.re 6)) (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.re 6)) (.f64 1/720 (.f64 y.re (.f64 (pow.f64 x.re 6) 120))))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 -1 x.im))))))) (pow.f64 x.im 6)))))
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (/.f64 x.im (.f64 y.re (.f64 x.re x.re))) (/.f64 x.im (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im)))))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im 4)) (.f64 (fma.f64 1/8 (.f64 y.re (.f64 y.re (pow.f64 x.re 4))) (.f64 (pow.f64 x.re 4) (.f64 y.re -1/4))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))))) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im 6)) (.f64 (fma.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.re 6)) (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.re 6)) (.f64 y.re (.f64 (*.f64 (pow.f64 x.re 6) 120) 1/720)))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 x.im x.im)) (.f64 y.re (.f64 (.f64 x.re x.re) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re))))) (+.f64 (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im 4)) (.f64 (.f64 (pow.f64 x.re 4) (.f64 y.re (+.f64 -1/4 (.f64 1/8 y.re)))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im 6)) (.f64 (+.f64 (.f64 (.f64 (pow.f64 x.re 6) 120) (.f64 y.re 1/720)) (.f64 (pow.f64 x.re 6) (.f64 (.f64 y.re y.re) (+.f64 -1/8 (*.f64 1/48 y.re))))) (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)))))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 y.re y.re) (.f64 (atan2.f64 x.im x.re) (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 y.re y.re) (*.f64 (atan2.f64 x.im x.re) (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (*.f64 y.re y.re) (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (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 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.re 3)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(fma.f64 (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.re 3) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 y.re y.re) (.f64 (atan2.f64 x.im x.re) (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))
(fma.f64 (pow.f64 y.re 3) (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (.f64 y.re y.re) (*.f64 (atan2.f64 x.im x.re) (log.f64 (hypot.f64 x.im x.re))))))
(fma.f64 (pow.f64 y.re 3) (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (*.f64 y.re y.re) (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (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 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.re 3)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 1/6 (.f64 (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 y.re 4)) (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(fma.f64 (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.re 3) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 (fma.f64 -1/6 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/6 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 3)))) (pow.f64 y.re 4) (.f64 (.f64 y.re y.re) (.f64 (atan2.f64 x.im x.re) (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(fma.f64 (pow.f64 y.re 3) (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 (.f64 y.re y.re) (.f64 (atan2.f64 x.im x.re) (log.f64 (hypot.f64 x.im x.re))) (.f64 (fma.f64 1/6 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)))) (pow.f64 y.re 4)))))
(+.f64 (fma.f64 (pow.f64 y.re 3) (fma.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (.f64 y.re y.re) (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (fma.f64 1/6 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)) (.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)))) (pow.f64 y.re 4)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))

localize116.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y.im (log.f64 x.im))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	11.7b	(sin.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 70 to 14 computations (80% saved)

series55.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	x.im	@	-inf	(sin.f64 (*.f64 y.im (log.f64 x.im)))
16.0ms	y.im	@	0	(*.f64 y.im (log.f64 x.im))
2.0ms	y.im	@	0	(sin.f64 (*.f64 y.im (log.f64 x.im)))
2.0ms	x.im	@	0	(sin.f64 (*.f64 y.im (log.f64 x.im)))
1.0ms	x.im	@	inf	(sin.f64 (*.f64 y.im (log.f64 x.im)))

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	114	14
2	1325	14

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1069×	`fma-def_binary64`
1020×	`unswap-sqr_binary64`
737×	`unsub-neg_binary64`
314×	`*-commutative_binary64`
268×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	330
1	112	330
2	297	330
3	1048	330
4	2506	330
5	5849	330

Stop Event

1×	node limit

Counts

63 → 39

Calls

Call 1

Inputs
(*.f64 (log.f64 x.im) y.im)
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))))
(+.f64 (.f64 (log.f64 x.im) y.im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 x.im) 5)))))
(+.f64 (.f64 (log.f64 x.im) y.im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 x.im) 5))) (.f64 -1/5040 (*.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 x.im) 7))))))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)

Outputs
(*.f64 (log.f64 x.im) y.im)
(+.f64 (.f64 (log.f64 x.im) y.im) (.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))))
(fma.f64 (log.f64 x.im) y.im (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))))
(fma.f64 (log.f64 x.im) y.im (.f64 (pow.f64 (log.f64 x.im) 3) (.f64 -1/6 (pow.f64 y.im 3))))
(.f64 y.im (fma.f64 -1/6 (.f64 y.im (*.f64 y.im (pow.f64 (log.f64 x.im) 3))) (log.f64 x.im)))
(+.f64 (.f64 (log.f64 x.im) y.im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 x.im) 5)))))
(fma.f64 (log.f64 x.im) y.im (fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3)) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 x.im) 5)))))
(fma.f64 (log.f64 x.im) y.im (fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3)) (.f64 (pow.f64 (log.f64 x.im) 5) (*.f64 1/120 (pow.f64 y.im 5)))))
(fma.f64 (pow.f64 (log.f64 x.im) 3) (.f64 -1/6 (pow.f64 y.im 3)) (fma.f64 (log.f64 x.im) y.im (.f64 (pow.f64 y.im 5) (*.f64 1/120 (pow.f64 (log.f64 x.im) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3)) (fma.f64 (pow.f64 y.im 5) (.f64 1/120 (pow.f64 (log.f64 x.im) 5)) (*.f64 (log.f64 x.im) y.im)))
(+.f64 (.f64 (log.f64 x.im) y.im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 x.im) 5))) (.f64 -1/5040 (*.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 x.im) 7))))))
(fma.f64 (log.f64 x.im) y.im (fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3)) (fma.f64 1/120 (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 x.im) 5)) (.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 x.im) 7))))))
(fma.f64 (log.f64 x.im) y.im (fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3)) (fma.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 x.im) 7)) (.f64 (pow.f64 (log.f64 x.im) 5) (.f64 1/120 (pow.f64 y.im 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3)) (fma.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 x.im) 7)) (fma.f64 (log.f64 x.im) y.im (.f64 (pow.f64 y.im 5) (.f64 1/120 (pow.f64 (log.f64 x.im) 5))))))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(sin.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(sin.f64 (*.f64 (log.f64 x.im) y.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 x.im) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 x.im) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 x.im) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 x.im) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 (log.f64 x.im) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 (log.f64 x.im) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 (log.f64 x.im) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(*.f64 (log.f64 x.im) y.im)

localize86.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
✓	0.6b	(cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
	35.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 112 to 23 computations (79.5% saved)

series310.0ms (0.8%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
75.0ms	x.im	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
49.0ms	y.re	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
38.0ms	x.re	@	0	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
38.0ms	x.im	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
23.0ms	x.im	@	0	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)

rewrite743.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
326×	`pow2_binary64`
252×	`prod-diff_binary64`
228×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	281	38
2	3005	38

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.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 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.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 (sin.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (*.f64 (cos.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)) (sin.f64 (*.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 (exp.f64 (sin.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 (sin.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 (sin.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 (sin.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 (exp.f64 (log1p.f64 (sin.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 (*.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))))) (cos.f64 1)) (*.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))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (pow.f64 (cbrt.f64 (sin.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 1 (sin.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 (pow.f64 (cbrt.f64 (sin.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 (sin.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 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.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 (sin.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 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (sqrt.f64 (sin.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 (pow.f64 (sin.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 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 5/6) (pow.f64 (sin.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 *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2) 1) (cbrt.f64 (sin.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 (pow.f64 (*.f64 (cbrt.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (*.f64 2/3 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.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 fma.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sin.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 (exp.f64 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (exp.f64 (log1p.f64 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sin.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 (pow.f64 (sin.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 (sin.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 pow.f64 (sin.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 pow.f64 (cbrt.f64 (sin.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 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.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 (cbrt.f64 (cbrt.f64 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(expm1.f64 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (cbrt.f64 (sin.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 (sin.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 (sin.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 2 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.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 (*.f64 1/6 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2))))))

simplify556.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

570×	`times-frac_binary64`
528×	`*-commutative_binary64`
450×	`associate-/l*_binary64`
308×	`distribute-lft-in_binary64`
308×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1109	33010
1	4081	27684

Stop Event

1×	node limit

Counts

156 → 196

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 (.f64 (pow.f64 1 1/3) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (atan2.f64 x.im x.re) (cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))) y.re))
(+.f64 (.f64 (pow.f64 1 1/3) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))) y.re) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 2)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 2))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 2)))))) (pow.f64 y.re 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))) y.re) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 4)) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 2)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (cos.f64 (.f64 y.im (log.f64 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(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)))) 1/3)
(+.f64 (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)))) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (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)) 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2)))))
(+.f64 (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)))) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1/4 (.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 y.im (pow.f64 x.im 4)))) (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 4))))) (.f64 1/12 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (pow.f64 y.im 2) (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)) (pow.f64 (/.f64 1 (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)) 1/3))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (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)) 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))))
(+.f64 (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)))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (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)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 y.im 2) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (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))) (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 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/4 (.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 y.im (pow.f64 x.im 4)))) (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 4))))) (.f64 1/12 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2)))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 1/216 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 3) (.f64 (pow.f64 y.im 3) (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)))) 2))))) (pow.f64 x.re 6)))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (+.f64 (.f64 -1/4 (.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 y.im (pow.f64 x.im 4)))) (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 4))))) (.f64 1/12 (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (pow.f64 y.im 2) (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)) (pow.f64 (/.f64 1 (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)) 1/3))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (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)) 1/3) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2)))))))
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/3)
(+.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/9) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (.f64 (pow.f64 y.im 2) (-.f64 (.f64 -1/2 (.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)))) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1/9) (.f64 (pow.f64 (cos.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)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/9) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (.f64 (pow.f64 y.im 2) (-.f64 (.f64 -1/2 (.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)))) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1/9) (.f64 (pow.f64 (cos.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)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (.f64 (pow.f64 y.im 3) (-.f64 (.f64 -1/6 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (.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)))) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1/9) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (.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)))) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1/9) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/9) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 1/3)
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 1/3)
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 1/3)
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 1/3)
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 1/3)
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 1/3)
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 1/3)
(pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 1/3)

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

localize91.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)
	2.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	6.7b	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1)
	35.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))

Compiler

Compiled 192 to 40 computations (79.2% saved)

series312.0ms (0.8%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	x.im	@	0	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1)
27.0ms	y.re	@	-inf	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1)
26.0ms	y.re	@	inf	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1)
24.0ms	y.im	@	-inf	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1)
24.0ms	x.re	@	0	(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1)

rewrite165.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log-prod_binary64`
481×	`prod-diff_binary64`
388×	`pow2_binary64`
270×	`log1p-udef_binary64`
269×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	364	36
2	3765	36

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs

(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))) 1)

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

Outputs

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simplify1.5s (3.7%)

Algorithm

1×	egg-herbie

Rules

921×	`distribute-rgt-in_binary64`
691×	`*-commutative_binary64`
300×	`+-commutative_binary64`
293×	`associate-r_binary64`
273×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1455	65468
1	5583	53990

Stop Event

1×	node limit

Counts

197 → 170

Calls

Call 1

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

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

eval3.3s (8.1%)

Compiler: Compiled 187288 to 84160 computations (55.1% saved)

prune561.0ms (1.4%)

Pruning

80 alts after pruning (80 fresh and 0 done)

	Pruned	Kept	Total
New	1378	50	1428
Fresh	19	30	49
Picked	1	0	1
Done	4	0	4
Total	1402	80	1482

Error

3.0b

Counts

1482 → 80

Alt Table

Click to see full alt table

Status	Error	Program
	41.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
	9.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) (+.f64 (+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1) 1)))
	45.0b	(.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)))))) (sin.f64 (.f64 y.im (log.f64 x.im))))
	40.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))
	42.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1) (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))
	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	15.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3))
	15.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	53.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (pow.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3) 3))
	14.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	53.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3) 3))
	27.0b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
	29.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)) 2) (cbrt.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)) -1))
	45.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) 3)))
	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
	15.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3))
	15.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3))) 3))
	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))) 3))) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	28.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))
	43.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	14.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	41.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3))))
	39.4b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	48.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (.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))))) (cos.f64 1)) (.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))))) (sin.f64 1))))
	32.6b	(pow.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 2)
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 0 (.f64 3 (.f64 1/3 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
	29.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1))
	44.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
	46.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) 2)))
	38.9b	(.f64 (/.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im))) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))))) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1)))
	14.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	47.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (-.f64 (.f64 1/2 (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (log.f64 (/.f64 -1 x.im)))))))
	47.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	42.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	43.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	25.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)) 3))
	53.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 x.im)))) 2))
	21.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) (+.f64 (+.f64 (sin.f64 (.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))))) 1) 1)))
	25.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 3) (pow.f64 y.im 3)))))))
	42.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)))) 3))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.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))) 3))))) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1)))
	47.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 x.im))))
	41.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1/6) 2) 3))
	45.0b	(.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 (sin.f64 (.f64 y.im (log.f64 x.im)))) 3))
	10.5b	(.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)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	47.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
	24.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	42.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.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))))))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) (+.f64 (+.f64 (sin.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))) 3)) 1) 1)))
	26.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2) 3/2) 3))
	40.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))))) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1)))
	15.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3) 3))
	38.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))))
	43.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	37.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) (+.f64 (+.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))) 1) 1)))
	27.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
	39.4b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (.f64 3 (.f64 1/3 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 1))
	45.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (pow.f64 (cbrt.f64 (.f64 y.im (log.f64 x.im))) 3)))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.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 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 2) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1))))
	45.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (-.f64 (.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))))) (cos.f64 1)) (.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))))) (sin.f64 1)))))) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1)))
	29.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))) 1))
	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2) (-.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 1)))
	24.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	42.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	52.0b	(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (*.f64 y.re y.re) (log.f64 (hypot.f64 x.im x.re)))))
	35.4b	(.f64 (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x.re (/.f64 x.re x.im)) x.im) y.re) 1) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	47.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))))))
	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3))) 1))
	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 (neg.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)) (/.f64 1 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) -1)) -1)) 3))) 1))
	29.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 (neg.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)) (/.f64 1 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) -1)) -1)))) (+.f64 (+.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1) 1)))
	28.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	44.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
	31.3b	(.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	43.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	51.2b	(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 2623 to 1585 computations (39.6% saved)

regimes1.5s (3.6%)

Counts

164 → 3

Calls

Call 1

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

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 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))) (+.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))

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

Calls

5 calls:

501.0ms	y.re
451.0ms	y.im
135.0ms	x.re
127.0ms	x.im
118.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
8.4b	1	`x.re`
8.4b	1	`x.im`
3.9b	3	`y.re`
5.5b	3	`y.im`
5.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 4988 to 1178 computations (76.4% saved)

bsearch184.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	215.70843708150664	3.3424810363442287e+22
101.0ms	-2131.0308859467173	-0.12475549351339012

Compiler

Compiled 626 to 368 computations (41.2% saved)

regimes544.0ms (1.3%)

Counts

77 → 3

Calls

Call 1

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

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

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

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

Calls

5 calls:

192.0ms	y.re
182.0ms	y.im
55.0ms	x.im
43.0ms	x.re
33.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
8.4b	1	`x.re`
8.4b	1	`x.im`
3.9b	3	`y.re`
5.5b	3	`y.im`
5.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1700 to 467 computations (72.5% saved)

bsearch144.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	215.70843708150664	3.3424810363442287e+22
76.0ms	-2131.0308859467173	-0.12475549351339012

Compiler

Compiled 602 to 344 computations (42.9% saved)

regimes1.1s (2.6%)

Counts

76 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

437.0ms	x.re
233.0ms	y.re
206.0ms	x.im
116.0ms	y.im
39.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
9.6b	8	`x.re`
11.1b	6	`x.im`
7.4b	7	`y.re`
6.0b	3	`y.im`
8.5b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1675 to 466 computations (72.2% saved)

bsearch285.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
182.0ms	514482868.554698	3462742432747.456
102.0ms	-1.9573416170166033e-7	-6.649301609056497e-15

Compiler

Compiled 520 to 329 computations (36.7% saved)

regimes1.3s (3.3%)

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

550.0ms	x.re
273.0ms	x.im
264.0ms	y.re
148.0ms	y.im
40.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
9.6b	8	`x.re`
11.1b	6	`x.im`
7.4b	7	`y.re`
6.0b	3	`y.im`
8.5b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1465 to 401 computations (72.6% saved)

bsearch361.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
237.0ms	514482868.554698	3462742432747.456
123.0ms	-1.9573416170166033e-7	-6.649301609056497e-15

Compiler

Compiled 496 to 313 computations (36.9% saved)

regimes1.1s (2.7%)

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

406.0ms	x.re
322.0ms	y.re
165.0ms	x.im
136.0ms	y.im

Results

Error	Segments	Branch
10.9b	6	`x.re`
12.5b	4	`x.im`
7.4b	7	`y.re`
6.1b	3	`y.im`

Compiler

Compiled 947 to 289 computations (69.5% saved)

bsearch302.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
256.0ms	514482868.554698	3462742432747.456
46.0ms	-223175247654159.3	-134332640629570.88

Compiler

Compiled 716 to 441 computations (38.4% saved)

regimes922.0ms (2.3%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

4 calls:

338.0ms	x.re
229.0ms	y.re
188.0ms	x.im
121.0ms	y.im

Results

Error	Segments	Branch
15.2b	5	`x.re`
14.5b	7	`x.im`
13.5b	5	`y.re`
10.5b	5	`y.im`

Compiler

Compiled 749 to 232 computations (69% saved)

bsearch572.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
231.0ms	514482868.554698	3462742432747.456
124.0ms	3.416298924640742e-161	1.6326079405465052e-158
72.0ms	-2.4125066006588983e-139	-5.5860594475110225e-140
145.0ms	-223175247654159.3	-134332640629570.88

Compiler

Compiled 656 to 417 computations (36.4% saved)

regimes582.0ms (1.4%)

Counts

34 → 5

Calls

Call 1

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

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

Calls

4 calls:

164.0ms	x.re
159.0ms	x.im
135.0ms	y.im
110.0ms	y.re

Results

Error	Segments	Branch
15.2b	5	`x.re`
14.5b	7	`x.im`
13.5b	5	`y.re`
10.5b	5	`y.im`

Compiler

Compiled 635 to 202 computations (68.2% saved)

bsearch436.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
267.0ms	514482868.554698	3462742432747.456
63.0ms	3.416298924640742e-161	1.6326079405465052e-158
60.0ms	-2.4125066006588983e-139	-5.5860594475110225e-140
46.0ms	-223175247654159.3	-134332640629570.88

Compiler

Compiled 636 to 397 computations (37.6% saved)

regimes610.0ms (1.5%)

Counts

29 → 5

Calls

Call 1

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

Calls

4 calls:

203.0ms	y.re
143.0ms	x.im
139.0ms	y.im
113.0ms	x.re

Results

Error	Segments	Branch
15.2b	6	`x.re`
15.5b	5	`x.im`
15.4b	6	`y.re`
10.5b	5	`y.im`

Compiler

Compiled 515 to 179 computations (65.2% saved)

bsearch394.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
206.0ms	514482868.554698	3462742432747.456
53.0ms	3.416298924640742e-161	1.6326079405465052e-158
76.0ms	-2.4125066006588983e-139	-5.5860594475110225e-140
59.0ms	-223175247654159.3	-134332640629570.88

Compiler

Compiled 636 to 397 computations (37.6% saved)

regimes629.0ms (1.6%)

Counts

25 → 5

Calls

Call 1

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

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

Calls

4 calls:

266.0ms	x.re
170.0ms	x.im
108.0ms	y.re
74.0ms	y.im

Results

Error	Segments	Branch
14.8b	7	`x.re`
16.7b	3	`x.im`
17.6b	5	`y.re`
11.0b	5	`y.im`

Compiler

Compiled 440 to 159 computations (63.9% saved)

bsearch471.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
208.0ms	514482868.554698	3462742432747.456
136.0ms	3.416298924640742e-161	1.6326079405465052e-158
83.0ms	-2.4125066006588983e-139	-5.5860594475110225e-140
44.0ms	-223175247654159.3	-134332640629570.88

Compiler

Compiled 564 to 397 computations (29.6% saved)

regimes218.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

137.0ms	x.im
32.0ms	x.re
22.0ms	y.im
21.0ms	y.re

Results

Error	Segments	Branch
25.6b	2	`x.re`
23.2b	2	`x.im`
24.5b	3	`y.re`
19.7b	3	`y.im`

Compiler

Compiled 191 to 81 computations (57.6% saved)

bsearch304.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
118.0ms	0.05712715500218306	514482868.554698
185.0ms	-9.105085559608621e-34	-6.718372760310384e-34

Compiler

Compiled 90 to 55 computations (38.9% saved)

regimes290.0ms (0.7%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

4 calls:

246.0ms	y.im
19.0ms	y.re
13.0ms	x.im
7.0ms	x.re

Results

Error	Segments	Branch
27.0b	1	`x.re`
23.2b	2	`x.im`
25.4b	3	`y.re`
22.6b	4	`y.im`

Compiler

Compiled 154 to 66 computations (57.1% saved)

bsearch687.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
173.0ms	1.250424889607907e+227	8.395304983123942e+227
205.0ms	3.1100214135964942e+125	1.2540385630513808e+130
308.0ms	4.064611125632828e+41	1.4222493459511319e+44

Compiler

Compiled 894 to 555 computations (37.9% saved)

regimes59.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

24.0ms	y.im
17.0ms	y.re
7.0ms	x.im
6.0ms	x.re

Results

Error	Segments	Branch
27.0b	1	`x.re`
27.0b	1	`x.im`
25.9b	3	`y.re`
25.2b	3	`y.im`

Compiler

Compiled 137 to 61 computations (55.5% saved)

bsearch441.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
292.0ms	8.003119104506941e+116	3.3958861152123293e+117
149.0ms	4.064611125632828e+41	1.4222493459511319e+44

Compiler

Compiled 640 to 427 computations (33.3% saved)

regimes51.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

19.0ms	y.im
16.0ms	y.re
7.0ms	x.im
6.0ms	x.re

Results

Error	Segments	Branch
27.0b	1	`x.re`
27.0b	1	`x.im`
25.9b	3	`y.re`
25.2b	3	`y.im`

Compiler

Compiled 123 to 58 computations (52.8% saved)

bsearch279.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
127.0ms	8.003119104506941e+116	3.3958861152123293e+117
152.0ms	4.064611125632828e+41	1.4222493459511319e+44

Compiler

Compiled 640 to 427 computations (33.3% saved)

regimes71.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

26.0ms	y.im
16.0ms	x.im
15.0ms	y.re
10.0ms	x.re

Results

Error	Segments	Branch
29.6b	2	`x.re`
28.6b	3	`x.im`
26.2b	3	`y.re`
29.3b	4	`y.im`

Compiler

Compiled 109 to 55 computations (49.5% saved)

bsearch275.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
139.0ms	215.70843708150664	3.3424810363442287e+22
136.0ms	-1.494144725774681e-204	-9.299883350371829e-205

Compiler

Compiled 422 to 267 computations (36.7% saved)

regimes57.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

17.0ms	y.re
16.0ms	x.re
13.0ms	x.im
9.0ms	y.im

Results

Error	Segments	Branch
33.3b	3	`x.re`
29.2b	3	`x.im`
30.5b	4	`y.re`
35.8b	2	`y.im`

Compiler

Compiled 76 to 38 computations (50% saved)

bsearch173.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.7006202405452774e-65	2.7988771620740635e-65
172.0ms	-7.193196090681532e-96	-1.6643639480774197e-100

Compiler

Compiled 312 to 209 computations (33% saved)

regimes51.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	y.re
13.0ms	x.im
10.0ms	x.re
10.0ms	y.im

Results

Error	Segments	Branch
33.3b	3	`x.re`
34.1b	2	`x.im`
31.3b	4	`y.re`
36.5b	2	`y.im`

Compiler

Compiled 49 to 27 computations (44.9% saved)

bsearch290.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
96.0ms	215.70843708150664	3.3424810363442287e+22
177.0ms	-2.239237179784305e+20	-214046332709651.28
14.0ms	-6.24424799444549e+142	-3.985244947923181e+142

Compiler

Compiled 578 to 385 computations (33.4% saved)

regimes29.0ms (0.1%)

Accuracy

Total -23.8b remaining (-69.4%)

Threshold costs -23.8b (-69.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y.re
9.0ms	y.im
4.0ms	x.re
3.0ms	x.im

Results

Error	Segments	Branch
39.4b	1	`x.re`
39.4b	1	`x.im`
34.2b	3	`y.re`
38.3b	3	`y.im`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch227.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	6.745039052285435e-21	3.132901285842623e-17
143.0ms	-2.239237179784305e+20	-214046332709651.28

Compiler

Compiled 273 to 178 computations (34.8% saved)

simplify125.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
13×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1788
1	217	1788
2	235	1788
3	244	1788
4	249	1788
5	250	1788

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -4586083777357567/281474976710656) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -4586083777357567/281474976710656) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.im -7394627558180065/37778931862957161709568) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -7394627558180065/37778931862957161709568) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -220000000000000) (.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -170000000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 1500000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))))))
(if (<=.f64 y.im -332677436335149/365375409332725729550921208179070754913983135744) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im 6180440637024731/1099511627776) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 319999999999999983473019982953988582860632588073026795262736467618717730255584877416081198370848668284326413523629620032700416) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 819999999999999991961271280285047143594247604927357674201864537469990358299656106244528589161230599033469059399131524689799752631527343653639374201335598496669540170310793859577858869341254707422091049748263631201604232076591104) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3349999999999999938387006344997304063928358869569244803423921037996246472761860072620145097847860942092605835708465152) (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im 3349999999999999938387006344997304063928358869569244803423921037996246472761860072620145097847860942092605835708465152) (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -4219485561917961/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 32999999999999997902848) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (.f64 y.re y.re) (log.f64 (hypot.f64 x.im x.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 x.im -6698341053387061/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 (/.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 407588154115353/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(if (<=.f64 y.re -50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (if (<=.f64 y.re -220000000000000000000) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (if (<=.f64 y.re 32999999999999997902848) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))))
(if (<=.f64 y.re -220000000000000000000) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (if (<=.f64 y.re 8965694740960357/1329227995784915872903807060280344576) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

Outputs
(if (<=.f64 y.re -4586083777357567/281474976710656) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -4586083777357567/281474976710656) (.f64 (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))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -4586083777357567/281474976710656) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -4586083777357567/281474976710656) (.f64 (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))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.im -7394627558180065/37778931862957161709568) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -7394627558180065/37778931862957161709568) (.f64 (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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 3400000000000) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -7394627558180065/37778931862957161709568) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -7394627558180065/37778931862957161709568) (.f64 (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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 3400000000000) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (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))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -220000000000000) (.f64 (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))) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1) -1)) (if (<=.f64 y.im 3400000000000) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (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))) (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.im -220000000000000) (.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.f64 (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))) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1) -1)) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (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))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.f64 (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))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (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))) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.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 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3400000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -220000000000000) (.f64 (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))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 3400000000000) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (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))) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -170000000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 1500000000000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))))))
(if (<=.f64 y.im -170000000000000) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1) -1)) (if (<=.f64 y.im -6469285026270647/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 8652334946135347/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 1500000000000) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1) -1))))))
(if (<=.f64 y.im -332677436335149/365375409332725729550921208179070754913983135744) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.im 6180440637024731/1099511627776) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (+.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))))
(if (<=.f64 y.im -332677436335149/365375409332725729550921208179070754913983135744) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1) -1)) (if (<=.f64 y.im 6180440637024731/1099511627776) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1) -1))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 319999999999999983473019982953988582860632588073026795262736467618717730255584877416081198370848668284326413523629620032700416) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 819999999999999991961271280285047143594247604927357674201864537469990358299656106244528589161230599033469059399131524689799752631527343653639374201335598496669540170310793859577858869341254707422091049748263631201604232076591104) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 319999999999999983473019982953988582860632588073026795262736467618717730255584877416081198370848668284326413523629620032700416) (.f64 (.f64 y.re (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 y.im 819999999999999991961271280285047143594247604927357674201864537469990358299656106244528589161230599033469059399131524689799752631527343653639374201335598496669540170310793859577858869341254707422091049748263631201604232076591104) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (.f64 y.re (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 y.im 140000000000000004427089716002557937628217344) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 3349999999999999938387006344997304063928358869569244803423921037996246472761860072620145097847860942092605835708465152) (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.im 3349999999999999938387006344997304063928358869569244803423921037996246472761860072620145097847860942092605835708465152) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im 3349999999999999938387006344997304063928358869569244803423921037996246472761860072620145097847860942092605835708465152) (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.im 140000000000000004427089716002557937628217344) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im 3349999999999999938387006344997304063928358869569244803423921037996246472761860072620145097847860942092605835708465152) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re)) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -4219485561917961/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 32999999999999997902848) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (.f64 y.re y.re) (log.f64 (hypot.f64 x.im x.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -4219485561917961/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (-.f64 (.f64 (.f64 x.im x.im) (/.f64 -1/2 x.re)) x.re) y.re)) (if (<=.f64 y.re 32999999999999997902848) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re y.re)))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))))
(if (<=.f64 x.im -6698341053387061/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 (/.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 407588154115353/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(if (<=.f64 x.im -6698341053387061/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (neg.f64 x.im) y.re)) (if (<=.f64 x.im 407588154115353/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(if (<=.f64 y.re -50000000000000001187271617932555267870432896391434109373673249433511871477101028628408881410804164706467298456692005803789670658494504078671872) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (if (<=.f64 y.re -220000000000000000000) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (if (<=.f64 y.re 32999999999999997902848) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))))
(if (<=.f64 y.re -220000000000000000000) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (if (<=.f64 y.re 8965694740960357/1329227995784915872903807060280344576) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 1247 to 519 computations (58.4% saved)

soundness229.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
892×	`unswap-sqr_binary64`
457×	`associate-/l*_binary64`
457×	`associate-/l*_binary64`
323×	`pow-sqr_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
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
1×	node limit

Compiler

Compiled 582 to 302 computations (48.1% saved)

end295.0ms (0.7%)

Compiler: Compiled 1179 to 246 computations (79.1% saved)