Details

analyze618.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
15.6%	15.6%	84.2%	0.2%	0%	0%	0%	6
23.4%	23.4%	76.4%	0.2%	0%	0%	0%	7
26.6%	26.5%	73.3%	0.2%	0%	0%	0%	8
35.5%	35.5%	64.3%	0.2%	0%	0%	0%	9
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	10
46.4%	46.3%	53.5%	0.2%	0%	0%	0%	11
46.9%	46.8%	53%	0.2%	0%	0%	0%	12

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample6.2s (18.4%)

Results

2.5s	7936×	body	256	valid
2.2s	2576×	body	1024	infinite
627.0ms	963×	body	512	infinite
373.0ms	193×	body	2048	infinite
250.0ms	880×	body	256	infinite
117.0ms	149×	body	1024	valid
109.0ms	158×	body	512	valid
15.0ms	13×	body	2048	valid

Bogosity

preprocess65.0ms (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)

simplify76.0ms (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 → 5

Calls

Call 1

Inputs

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

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 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 142 to 40 computations (71.8% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

3.6b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.8b	(.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)))))
▶	8.1b	(.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)))))
▶	3.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	30.2b	(.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 129 to 64 computations (50.4% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	26.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	30.9b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series38.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
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	@	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	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
3.0ms	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)))
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)))

rewrite82.0ms (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
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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))))))

simplify226.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-rgt-in_binary64`
385×	`associate-r_binary64`
381×	`fma-def_binary64`
294×	`associate-l_binary64`
264×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	585	6557
1	1544	6001
2	5670	5807

Stop Event

1×	node limit

Counts

226 → 276

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

Outputs
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 x.re x.re) y.im) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (.f64 x.im x.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.re (.f64 x.re y.im)) x.im) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.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 (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 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.im 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))))))))
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(fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 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))))))
(+.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 -1/48 (/.f64 (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 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.im 4) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))))))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re (.f64 x.re y.im)) x.im) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im)))) x.im)) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.im))))) (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 -1/48 (/.f64 (pow.f64 x.im 6) (pow.f64 y.im 3)))) (/.f64 (.f64 (.f64 y.im y.im) 1/8) (/.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 (fma.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.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))))) (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 -1/48 (/.f64 (pow.f64 x.im 6) (pow.f64 y.im 3)))) (.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))))))))))
(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 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 1/2 (.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))))))
(+.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 (.f64 -1/4 (.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)))))
(+.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 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (.f64 y.im y.im))) (.f64 -1/4 (/.f64 y.im (/.f64 (/.f64 (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 (neg.f64 (log.f64 x.re))))))))))
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(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 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(fma.f64 -1/2 (.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1/6 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))))))
(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 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (*.f64 -1/2 (/.f64 x.im (/.f64 x.re x.im))) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 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)) (-.f64 (/.f64 (*.f64 (pow.f64 x.im 4) 1/8) (pow.f64 x.re 3)) 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 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 -1/2 (/.f64 x.im (/.f64 x.re x.im)) (-.f64 (/.f64 (*.f64 (pow.f64 x.im 4) 1/8) (pow.f64 x.re 3)) x.re)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (/.f64 (.f64 1/16 (pow.f64 x.re 6)) (pow.f64 x.im 5))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (.f64 -1/2 (/.f64 (.f64 x.re x.re) x.im)))
(-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im)
(+.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 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (/.f64 -1/2 (/.f64 x.im (*.f64 x.re 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 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (/.f64 -1/2 (/.f64 x.im (*.f64 x.re 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))
(+.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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
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(sin.f64 (fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
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(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))))))
(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)))))
(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))))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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))
(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)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (.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)))) (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))))) (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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (.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)))) (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))))) (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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(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))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 0 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(+.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)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x.im x.re))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x.im x.re)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x.im x.re)))))
(+.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)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x.re x.im)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.f64 (hypot.f64 x.re x.im) 1)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.f64 1 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2) (cbrt.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 2))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.f64 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.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)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.f64 (pow.f64 1 1/2) (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(*.f64 (pow.f64 (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))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (sqrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(/.f64 (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))))
(/.f64 (hypot.f64 (pow.f64 x.re 3) (pow.f64 x.im 3)) (sqrt.f64 (+.f64 (pow.f64 x.re 4) (-.f64 (pow.f64 x.im 4) (pow.f64 (*.f64 x.im x.re) 2)))))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) 2) 1/2)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (hypot.f64 x.re x.im) 1)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) 2)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(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))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(fabs.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x.re x.im))))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) 2)) 1/2))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.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)))))
(+.f64 (*.f64 2 (log.f64 (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)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(+.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)))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3) 1/3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 3)
(*.f64 (atan2.f64 x.im x.re) y.im)
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 2)
(*.f64 (atan2.f64 x.im x.re) y.im)
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (*.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(exp.f64 (.f64 (log.f64 (.f64 y.im (atan2.f64 x.im x.re))) 1))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.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)))))
(+.f64 (*.f64 2 (log.f64 (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)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))))
(+.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)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 3)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3) 1/3)
(*.f64 y.re (atan2.f64 x.im x.re))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 2))
(*.f64 y.re (atan2.f64 x.im x.re))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3))
(*.f64 y.re (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 1))
(*.f64 y.re (atan2.f64 x.im x.re))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
✓	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.9b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 108 to 15 computations (86.1% saved)

series59.0ms (0.2%)

Counts

3 → 68

Calls

30 calls:

Time	Variable		Point	Expression
41.0ms	y.re	@	0	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
2.0ms	x.re	@	inf	(*.f64 y.re (atan2.f64 x.im x.re))
1.0ms	x.re	@	0	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	0	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	-inf	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

rewrite126.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
358×	`pow-prod-down_binary64`
310×	`pow2_binary64`
252×	`prod-diff_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	233	34
2	2757	34

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

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

Outputs

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

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

simplify133.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

548×	`unswap-sqr_binary64`
421×	`distribute-rgt-in_binary64`
416×	`distribute-lft-in_binary64`
399×	`fma-def_binary64`
343×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	5400
1	1392	4885
2	5062	4727

Stop Event

1×	node limit

Counts

141 → 255

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.9b	(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)

series62.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	x.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
10.0ms	y.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
3.0ms	y.im	@	0	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
2.0ms	x.re	@	0	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
2.0ms	x.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
327×	`pow-prod-down_binary64`
301×	`pow2_binary64`
296×	`pow-pow_binary64`
291×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	224	18
2	2803	18

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

586×	`unswap-sqr_binary64`
375×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
282×	`associate-r_binary64`
224×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	4024
1	1164	3745
2	4458	3363

Stop Event

1×	node limit

Counts

91 → 185

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	2.4b	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
	30.9b	(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 96 to 15 computations (84.4% saved)

series157.0ms (0.5%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
65.0ms	y.im	@	-inf	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
42.0ms	x.re	@	0	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
15.0ms	x.im	@	0	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
14.0ms	y.im	@	inf	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
9.0ms	y.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
351×	`pow-pow_binary64`
312×	`pow-prod-down_binary64`
309×	`pow2_binary64`
278×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	227	27
2	2853	27

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

699×	`unswap-sqr_binary64`
448×	`times-frac_binary64`
327×	`associate-r_binary64`
286×	`associate-/r*_binary64`
251×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	4580
1	1198	4282
2	5384	4134

Stop Event

1×	node limit

Counts

144 → 213

Calls

Call 1

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

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

eval1.2s (3.4%)

Compiler: Compiled 77853 to 23159 computations (70.3% saved)

prune643.0ms (1.9%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	1355	28	1383
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1359	28	1387

Error

3.2b

Counts

1387 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	12.9b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	10.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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)))))
	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 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (sin.f64 1))))
▶	33.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.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)))))))
	16.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (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 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))))
	32.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))
	32.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))))
	34.7b	(.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 (pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))))
	35.1b	(.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 (exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
▶	43.9b	(.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 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	36.2b	(.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 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	40.1b	(.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 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	24.3b	(.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 (*.f64 y.re (atan2.f64 x.im x.re))))
	17.9b	(.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
	11.2b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))))
	19.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	51.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) 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))))
	17.8b	(.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 (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))
	25.8b	(.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))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	27.1b	(.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)))
	45.7b	(.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 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	40.6b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	26.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	31.3b	(.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))) (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)))))))
	24.6b	(.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))) (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)))
	46.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))
▶	9.1b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (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)))))

Compiler

Compiled 2148 to 1154 computations (46.3% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))
✓	0.4b	(exp.f64 (atan2.f64 x.im x.re))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.9b	(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 135 to 46 computations (65.9% saved)

series42.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	y.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))
7.0ms	x.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))
3.0ms	x.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))
2.0ms	x.re	@	0	(/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))
2.0ms	x.re	@	-inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary64`
490×	`pow-unpow_binary64`
385×	`pow2_binary64`
337×	`prod-diff_binary64`
263×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	292	27
2	3645	27

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(exp.f64 (atan2.f64 x.im x.re))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))

Outputs

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

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

simplify136.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

653×	`unswap-sqr_binary64`
522×	`distribute-rgt-in_binary64`
318×	`associate-r_binary64`
315×	`sqr-pow_binary64`
260×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	5268
1	1357	4611
2	4966	4158

Stop Event

1×	node limit

Counts

125 → 223

Calls

Call 1

Inputs
(/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 3/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (.f64 (pow.f64 x.re 4) (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 3/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 2))))))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 6) (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (+.f64 (.f64 1/2 (/.f64 y.re (pow.f64 x.im 6))) (+.f64 (.f64 9/16 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 -9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (.f64 (pow.f64 x.re 4) (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 3/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (.f64 (exp.f64 (.f64 3 (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 2)))))))
(/.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 2) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))))) (/.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 9/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 (pow.f64 x.re 4) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))) (+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 2) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))))) (/.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 9/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 (pow.f64 x.re 4) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))) (+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 2) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))))) (+.f64 (/.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 1 x.re))))) (+.f64 (.f64 1/240 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re)) (+.f64 (.f64 -9/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (.f64 9/16 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)))))) (.f64 (pow.f64 x.re 6) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))))))
(/.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 2) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))))))
(+.f64 (/.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 9/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 -1 x.re)))))) (.f64 (pow.f64 x.re 4) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 -3 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (.f64 y.re (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 2) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))))))
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(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))))
(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))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 x.im x.re))) 1) (sqrt.f64 (atan2.f64 x.im x.re)))
(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))))
(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))))
(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))))
(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))
(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)))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 2))
(log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 0 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3))) 1)
(.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) (pow.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) -3))
(.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 3) 1)
(.f64 1 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 2))
(.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 2) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 2) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) -3)))
(.f64 (sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 3)) (sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))
(.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3))) (/.f64 1 (neg.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im)))))
(.f64 (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) -3) (pow.f64 (hypot.f64 x.im x.re) (*.f64 y.re 3)))
(.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (pow.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) -3)))
(.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 2) 1) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) 1) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im))))
(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 2) (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (/.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 2) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3) 1)
(pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 6) (pow.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 6)) 1/2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)) 2)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3))) -1)
(pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) 3) (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) (neg.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 6) (pow.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 6)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) 3) (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))
(exp.f64 (.f64 3 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) 1))

Outputs
(/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 x.im)) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(exp.f64 (.f64 3 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 3/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 2)))))
(+.f64 (exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 x.im)) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (.f64 3/2 (.f64 (.f64 x.re x.re) (.f64 y.re (pow.f64 (exp.f64 3) (.f64 y.re (log.f64 x.im)))))) (.f64 (pow.f64 (exp.f64 3) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 x.im x.im))))
(fma.f64 3/2 (.f64 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (exp.f64 (.f64 3 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (.f64 3 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(fma.f64 3/2 (.f64 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (.f64 (pow.f64 x.re 4) (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 3/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 2))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 x.im)) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (.f64 3/2 (.f64 (.f64 x.re x.re) (.f64 y.re (pow.f64 (exp.f64 3) (.f64 y.re (log.f64 x.im)))))) (.f64 (pow.f64 (exp.f64 3) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 x.im x.im)))) (/.f64 (fma.f64 -3/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 9/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))) (/.f64 (pow.f64 (exp.f64 3) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (pow.f64 (exp.f64 3) (*.f64 y.re (log.f64 x.im))) (pow.f64 x.re 4)))))
(+.f64 (fma.f64 3/2 (.f64 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (exp.f64 (.f64 3 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (.f64 3 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))) (.f64 (/.f64 (fma.f64 9/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (/.f64 (.f64 y.re -3/4) (pow.f64 x.im 4))) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)) (.f64 (pow.f64 (exp.f64 3) (*.f64 y.re (log.f64 x.im))) (pow.f64 x.re 4))))
(+.f64 (fma.f64 3/2 (.f64 (/.f64 (.f64 y.re (.f64 x.re x.re)) (.f64 x.im x.im)) (pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) (pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 (/.f64 (fma.f64 9/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (/.f64 (.f64 y.re -3/4) (pow.f64 x.im 4))) (pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)) (.f64 (pow.f64 x.re 4) (pow.f64 x.im (*.f64 3 y.re)))))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 6) (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (+.f64 (.f64 1/2 (/.f64 y.re (pow.f64 x.im 6))) (+.f64 (.f64 9/16 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 -9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))) (.f64 (pow.f64 x.re 4) (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))) (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 3/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.im)))))) (.f64 (exp.f64 (.f64 3 (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.im 2)))))))
(+.f64 (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 x.im)) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) (/.f64 (.f64 3/2 (.f64 (.f64 x.re x.re) (.f64 y.re (pow.f64 (exp.f64 3) (.f64 y.re (log.f64 x.im)))))) (.f64 (pow.f64 (exp.f64 3) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 x.im x.im)))) (/.f64 (fma.f64 -3/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 9/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))) (/.f64 (pow.f64 (exp.f64 3) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (pow.f64 (exp.f64 3) (.f64 y.re (log.f64 x.im))) (pow.f64 x.re 4))))) (/.f64 (pow.f64 x.re 6) (/.f64 (pow.f64 (exp.f64 3) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (pow.f64 (exp.f64 3) (.f64 y.re (log.f64 x.im))) (fma.f64 1/2 (/.f64 y.re (pow.f64 x.im 6)) (fma.f64 9/16 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)) (.f64 -9/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 6)))))))))
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(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) 1) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 2) (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (/.f64 y.re 2/3)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(.f64 (/.f64 1 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 2) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3) 1)
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 6) (pow.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 6)) 1/2)
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 6) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 6)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 6))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3) 3) 1/3)
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)) 2)
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3))) -1)
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) 3) (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) 3)) 1/3)
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3))) 1) -1)
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) (neg.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 6) (pow.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) 6)))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 6) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 6)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3) 3))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 y.re 3)) 3) (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 3 y.im)) 3)))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(exp.f64 (.f64 3 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) 1))
(exp.f64 (-.f64 (.f64 (.f64 3 y.re) (log.f64 (hypot.f64 x.re x.im))) (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (exp.f64 3) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series8.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(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)))))))))

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
597×	`fma-neg_binary64`
365×	`*-commutative_binary64`
350×	`log-prod_binary64`
345×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	364
1	145	316
2	503	268
3	2539	268
4	5599	268
5	7430	268

Stop Event

1×	node limit

Counts

20 → 32

Calls

Call 1

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

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 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 -1/6 (pow.f64 y.re 3))))
(fma.f64 y.re (atan2.f64 x.im x.re) (.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 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (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 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 5) (.f64 1/120 (pow.f64 y.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))))))
(-.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.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)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

localize73.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	11.7b	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

Compiler

Compiled 112 to 39 computations (65.2% saved)

series131.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
71.0ms	x.im	@	-inf	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
28.0ms	x.re	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
13.0ms	x.im	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
12.0ms	x.im	@	inf	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
1.0ms	y.re	@	0	(sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`log-prod_binary64`
437×	`fma-def_binary64`
381×	`pow2_binary64`
262×	`pow1/3_binary64`
261×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	283	18
2	3691	18

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

908×	`fma-def_binary64`
476×	`fma-neg_binary64`
382×	`*-commutative_binary64`
211×	`distribute-rgt-in_binary64`
207×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	4186
1	630	3993
2	1800	3877
3	6298	3811

Stop Event

1×	node limit

Counts

107 → 135

Calls

Call 1

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

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

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.7b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	18.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	26.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 186 to 22 computations (88.2% saved)

series8.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite48.0ms (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
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs

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

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
597×	`fma-neg_binary64`
368×	`*-commutative_binary64`
351×	`log-prod_binary64`
320×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	346
1	128	296
2	443	244
3	2425	244
4	5600	238
5	7540	238

Stop Event

1×	node limit

Counts

20 → 34

Calls

Call 1

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

Outputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (.f64 -1/2 (.f64 (*.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 1 (fma.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1/2 (.f64 y.re y.re)))))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (*.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)) 1))
(fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 4) 1))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))))
(fma.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)) (+.f64 1 (fma.f64 -1/2 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/24 (*.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1/2 (.f64 y.re y.re)))) (fma.f64 -1/720 (*.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)) 1))
(fma.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)) (fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)) 1)))
(fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (fma.f64 1/24 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.re 4)) (.f64 -1/2 (.f64 y.re y.re))) (fma.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)) 1))
(fma.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (fma.f64 -1/2 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)) 1)))
(-.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 1 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	5.2b	(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))))))
	26.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	30.9b	(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 207 to 30 computations (85.5% saved)

series133.0ms (0.4%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
23.0ms	y.im	@	-inf	(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))))))
22.0ms	y.re	@	inf	(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))))))
19.0ms	y.re	@	-inf	(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))))))
17.0ms	y.im	@	inf	(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))))))
13.0ms	x.im	@	inf	(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))))))

rewrite126.0ms (0.4%)

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

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

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

simplify206.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

747×	`fma-def_binary64`
625×	`associate-l_binary64`
342×	`associate-+r+_binary64`
316×	`+-commutative_binary64`
291×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	697	13193
1	2208	12484
2	7739	12474

Stop Event

1×	node limit

Counts

182 → 204

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

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

eval2.6s (7.6%)

Compiler: Compiled 90453 to 33895 computations (62.5% saved)

prune694.0ms (2.1%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	1466	25	1491
Fresh	7	16	23
Picked	1	0	1
Done	4	0	4
Total	1478	41	1519

Error

3.2b

Counts

1519 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	12.9b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	45.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	28.2b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	32.7b	(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	10.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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)))))
	43.9b	(.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 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 -1 x.im))))) (cos.f64 (.f64 2 (fma.f64 y.im (log.f64 (.f64 -1 x.im)) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 -1 x.im))))) (sin.f64 (.f64 2 (fma.f64 y.im (log.f64 (.f64 -1 x.im)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))))))
	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))) (fma.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2) (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))))
	42.9b	(.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 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
	44.1b	(.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 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im -1)))))) 3))
	33.7b	(.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 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
	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 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (sin.f64 1))))
	56.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))))) (sin.f64 1))))
	44.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
	33.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 1))))
	36.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
	32.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))
	49.3b	(.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 y.im (log.f64 (.f64 x.im -1))))) 2)))
	36.2b	(.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 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	40.1b	(.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 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
	17.9b	(.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
	44.6b	(.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 (exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3))))
	44.6b	(.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 (exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
▶	11.2b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))))
▶	51.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) 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))))
	17.8b	(.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 (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))
	25.8b	(.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))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
	27.1b	(.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)))
	45.7b	(.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 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	40.6b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	45.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (+.f64 1 (expm1.f64 (-.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)))))))
	51.4b	(.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))) (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)))))))))
	31.3b	(.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))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
	24.6b	(.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))) (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)))
	50.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))))))
	50.4b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	36.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	13.2b	(.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) (.f64 3 y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	13.2b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.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)))))
▶	9.9b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.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)))))
	10.6b	(.f64 (cbrt.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

Compiler

Compiled 3140 to 1802 computations (42.6% saved)

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	1.3b	(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
✓	7.8b	(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))
	30.9b	(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 182 to 59 computations (67.6% saved)

series386.0ms (1.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
186.0ms	x.im	@	-inf	(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))
45.0ms	x.re	@	inf	(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))
45.0ms	x.re	@	-inf	(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))
44.0ms	x.im	@	inf	(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))
37.0ms	x.im	@	0	(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
438×	`pow-unpow_binary64`
343×	`pow-pow_binary64`
337×	`pow-prod-down_binary64`
301×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	254	21
2	3008	21

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 2)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 27 y.im) (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) (*.f64 3 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) (*.f64 3 y.im)) (pow.f64 27 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 y.im) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3/2) y.im) (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3/2) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 3 y.im)))) (exp.f64 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3) (exp.f64 (log1p.f64 y.im))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 (/.f64 y.im 2/3) (/.f64 y.im 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 2 (/.f64 y.im 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (*.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (atan2.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (/.f64 y.im 2/3) (atan2.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 3 y.im)) 2))) (cbrt.f64 (*.f64 3 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (sqrt.f64 (*.f64 3 y.im)))) (sqrt.f64 (*.f64 3 y.im))))))))

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
614×	`distribute-rgt-in_binary64`
606×	`distribute-lft-in_binary64`
287×	`exp-prod_binary64`
275×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2389
1	444	1377
2	1535	1375
3	7238	1375

Stop Event

1×	node limit

Counts

120 → 86

Calls

Call 1

Inputs
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
1
(+.f64 1 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(+.f64 (.f64 9/2 (.f64 (pow.f64 (log.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) 2) (pow.f64 y.im 2))) (+.f64 1 (.f64 3 (.f64 (log.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im))))
(+.f64 (.f64 9/2 (.f64 (pow.f64 (log.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) 2) (pow.f64 y.im 2))) (+.f64 1 (+.f64 (.f64 9/2 (.f64 (pow.f64 (log.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) 3) (pow.f64 y.im 3))) (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(+.f64 0 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))) 1)
(.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 2)))
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 2)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (pow.f64 27 y.im) (pow.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) (*.f64 3 y.im)))
(.f64 (pow.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) (*.f64 3 y.im)) (pow.f64 27 y.im))
(*.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3)))
(.f64 (pow.f64 1 y.im) (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3/2) y.im) (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3/2) y.im))
(/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 3 y.im)))) (exp.f64 (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3) (exp.f64 (log1p.f64 y.im))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3))
(sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 6)))
(log.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 9))
(expm1.f64 (log1p.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
(log1p.f64 (expm1.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
(exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))
(exp.f64 (.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)) 1))
(exp.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) 3))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 (/.f64 y.im 2/3) (/.f64 y.im 2/3))))
(exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (/.f64 y.im 2/3))))
(exp.f64 (.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))) 1/3))
(exp.f64 (.f64 (.f64 2 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(exp.f64 (.f64 (.f64 (/.f64 y.im 2/3) (atan2.f64 x.im x.re)) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (.f64 3 y.im)) 2))) (cbrt.f64 (*.f64 3 y.im))))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (sqrt.f64 (.f64 3 y.im)))) (sqrt.f64 (*.f64 3 y.im))))
(+.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 0)
(+.f64 (.f64 2 (.f64 1/3 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))) (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))) (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/3 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) (.f64 2 (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))))
(+.f64 0 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))) 1)
(.f64 3 (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1)
(.f64 1 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) (sqrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))
(.f64 2 (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(exp.f64 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re)) 1))
(exp.f64 (.f64 (.f64 3 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re))) 3))
(exp.f64 (.f64 (.f64 1/2 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re))) 2))

Outputs
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 3 (.f64 (log.f64 (*.f64 3 (log.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)))) y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
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(.f64 (pow.f64 27 y.im) (pow.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3) (*.f64 3 y.im)))
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(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(.f64 (pow.f64 1 y.im) (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(*.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3/2) y.im) (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3/2) y.im))
(pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3/2) (*.f64 y.im 2))
(/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 (*.f64 3 y.im)))) (exp.f64 (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3) (exp.f64 (log1p.f64 y.im))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 3))
(/.f64 (pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) (exp.f64 (log1p.f64 y.im))) (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 6)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(log.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) 9))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(expm1.f64 (log1p.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(log1p.f64 (expm1.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im)) 1))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) 3))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 (/.f64 y.im 2/3) (/.f64 y.im 2/3))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (/.f64 y.im 2/3))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))) 1/3))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (.f64 2 (atan2.f64 x.im x.re)) (/.f64 y.im 2/3)))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (.f64 (/.f64 y.im 2/3) (atan2.f64 x.im x.re)) 2))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (.f64 3 y.im)) 2))) (cbrt.f64 (*.f64 3 y.im))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (sqrt.f64 (.f64 3 y.im)))) (sqrt.f64 (*.f64 3 y.im))))
(pow.f64 (exp.f64 3) (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im))
(pow.f64 (exp.f64 (/.f64 y.im 1/3)) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(+.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 0)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(+.f64 (.f64 2 (.f64 1/3 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))) (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(+.f64 (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))) (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(+.f64 (.f64 1/3 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) (.f64 2 (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(+.f64 0 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))) 1)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(.f64 3 (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(.f64 1 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(.f64 (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(.f64 (sqrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) (sqrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(.f64 2 (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(pow.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 2) 1/2)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(pow.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 3) 1/3)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 3)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2)
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 2))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 3))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(expm1.f64 (log1p.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(log1p.f64 (expm1.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(exp.f64 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re)))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(exp.f64 (*.f64 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re)) 1))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(exp.f64 (.f64 (.f64 3 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(exp.f64 (.f64 (.f64 1/3 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re))) 3))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)
(exp.f64 (.f64 (.f64 1/2 (+.f64 (log.f64 1/3) (atan2.f64 x.im x.re))) 2))
(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x.im x.re)
✓	0.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	18.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series43.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	x.im	@	-inf	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
2.0ms	x.re	@	inf	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
2.0ms	x.re	@	-inf	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
2.0ms	x.im	@	inf	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
2.0ms	x.im	@	0	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`pow1_binary64`
880×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
858×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	201	22
2	2415	22

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

939×	`associate-/r*_binary64`
512×	`distribute-rgt-in_binary64`
507×	`distribute-lft-in_binary64`
460×	`unswap-sqr_binary64`
327×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	3492
1	1041	3335
2	3960	3031

Stop Event

1×	node limit

Counts

90 → 192

Calls

Call 1

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

Outputs
(.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))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re) (.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.re (.f64 (pow.f64 x.re y.re) (*.f64 x.im x.im)))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re) (.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (/.f64 (.f64 x.re x.re) y.re) (.f64 (pow.f64 x.re y.re) (.f64 x.im x.im))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re) (.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 x.re x.re)) (.f64 y.re (.f64 x.im (.f64 x.im (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 (.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)))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re) (fma.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.re (.f64 (pow.f64 x.re y.re) (.f64 x.im x.im))))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (/.f64 (.f64 x.re x.re) y.re) (.f64 (pow.f64 x.re y.re) (.f64 x.im x.im)))) (.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4)) (.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.re 4) y.re)))) (.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 (.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 x.re x.re)) (.f64 y.re (.f64 x.im (.f64 x.im (pow.f64 x.re y.re))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (pow.f64 x.re y.re) (.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4)) (.f64 1/8 (.f64 (/.f64 y.re (pow.f64 x.re 4)) y.re))) (*.f64 (pow.f64 x.re y.re) (pow.f64 x.im 4))))))
(+.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))))))
(fma.f64 (fma.f64 -1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.re 6)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.re 6)) (/.f64 (.f64 1/48 (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))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re) (fma.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.re (.f64 (pow.f64 x.re y.re) (*.f64 x.im x.im)))))))))
(fma.f64 (fma.f64 -1/8 (/.f64 y.re (/.f64 (pow.f64 x.re 6) y.re)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.re 6)) (/.f64 (.f64 1/48 (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))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (/.f64 (.f64 x.re x.re) y.re) (.f64 (pow.f64 x.re y.re) (.f64 x.im x.im)))) (.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4)) (.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.re 4) y.re)))) (.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 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 x.re x.re)) (.f64 y.re (.f64 x.im (.f64 x.im (pow.f64 x.re y.re))))) (.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4)) (.f64 1/8 (.f64 (/.f64 y.re (pow.f64 x.re 4)) y.re))) (.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (pow.f64 x.re y.re) (.f64 (fma.f64 -1/8 (.f64 (/.f64 y.re (pow.f64 x.re 6)) y.re) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.re 6)) (/.f64 1/48 (/.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))))) (*.f64 (pow.f64 x.re y.re) (pow.f64 x.im 6))))))
(.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 (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.im))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x.im)))) y.re))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (log.f64 x.im)) y.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)))))
(fma.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (.f64 x.im x.im) (.f64 (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.im))))) (.f64 y.re (.f64 x.re 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.im)))))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x.im)))) y.re) (.f64 1/2 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (/.f64 (.f64 x.im x.im) (.f64 (.f64 y.re x.re) x.re)) (pow.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x.im)))) y.re)))))
(fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 (log.f64 x.im)) y.re) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 y.re (pow.f64 (exp.f64 (log.f64 x.im)) y.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))))))
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(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 (/.f64 -1 x.re) (neg.f64 y.re)) (.f64 x.re x.re)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 x.im x.im))))) (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.re) (neg.f64 y.re)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re 4)) (.f64 (.f64 (pow.f64 x.im 4) (pow.f64 (/.f64 -1 x.re) (neg.f64 y.re))) (.f64 y.re (+.f64 -1/4 (.f64 1/8 y.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)))))))))
(fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (/.f64 (.f64 x.re x.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 x.im x.im))))) (+.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 6) (.f64 (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)) (.f64 1/720 (.f64 y.re (.f64 (pow.f64 x.im 6) 120))))) (exp.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))))))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re)))))) (/.f64 (exp.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 -1 x.re))))) (/.f64 (pow.f64 x.re 4) (.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)))))))))
(+.f64 (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.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 4) (+.f64 (.f64 y.re -1/4) (.f64 1/8 (.f64 y.re y.re))))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.re)))))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.re))) x.re) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 x.im x.im))) x.re)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re 6)) (.f64 (+.f64 (.f64 y.re (.f64 1/720 (.f64 (pow.f64 x.im 6) 120))) (.f64 (pow.f64 x.im 6) (+.f64 (.f64 (.f64 y.re y.re) -1/8) (*.f64 1/48 (pow.f64 y.re 3))))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.re)))))))
(+.f64 (fma.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (/.f64 -1 x.re) (neg.f64 y.re)) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re 4)) (.f64 (.f64 (pow.f64 x.im 4) (pow.f64 (/.f64 -1 x.re) (neg.f64 y.re))) (.f64 y.re (+.f64 -1/4 (.f64 1/8 y.re)))))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (/.f64 -1 x.re) (neg.f64 y.re)) (.f64 x.re x.re)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.re (.f64 x.im x.im)))) (.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.re 6) (pow.f64 (/.f64 -1 x.re) (neg.f64 y.re)))) (+.f64 (.f64 y.re (.f64 1/720 (.f64 (pow.f64 x.im 6) 120))) (.f64 (pow.f64 x.im 6) (.f64 (.f64 y.re y.re) (+.f64 -1/8 (.f64 1/48 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 (.f64 y.re y.re) (atan2.f64 x.im x.re)) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(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 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re y.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.im x.im) (.f64 x.re x.re)))) 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 (.f64 y.re y.re) (atan2.f64 x.im x.re)) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re 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))) (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 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re y.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.im x.im) (.f64 x.re x.re)))) 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.im x.im) (.f64 x.re x.re)))) (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (.f64 1/6 (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 y.re 4) (.f64 (.f64 (.f64 y.re y.re) (atan2.f64 x.im x.re)) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re 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))) (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 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re y.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 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re)))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (/.f64 (.f64 (.f64 1/2 x.im) x.im) x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (.f64 (/.f64 (.f64 x.re x.re) x.im) -1/2))
(-.f64 (*.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2) x.im)
(-.f64 (.f64 (.f64 (/.f64 x.re x.im) x.re) -1/2) 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))))
(fma.f64 -1 x.im (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (.f64 (/.f64 (.f64 x.re x.re) x.im) -1/2)))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2)) x.im)
(-.f64 (fma.f64 (.f64 (/.f64 x.re x.im) x.re) -1/2 (.f64 (/.f64 1/8 (pow.f64 x.im 3)) (pow.f64 x.re 4))) x.im)
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(fma.f64 -1 x.im (fma.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (.f64 (/.f64 (.f64 x.re x.re) x.im) -1/2))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16 (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2))) x.im)
(-.f64 (fma.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16 (fma.f64 (.f64 (/.f64 x.re x.im) x.re) -1/2 (.f64 (/.f64 1/8 (pow.f64 x.im 3)) (pow.f64 x.re 4)))) x.im)
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)))))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
(fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (fma.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) x.im)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re)))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (*.f64 (/.f64 x.im x.re) x.im) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (/.f64 (.f64 1/16 (pow.f64 x.im 6)) (pow.f64 x.re 5)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (/.f64 (.f64 (.f64 1/2 x.im) x.im) x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (*.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2) x.re)
(-.f64 (.f64 (/.f64 -1/2 x.re) (.f64 x.im x.im)) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (-.f64 (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) x.re))
(fma.f64 (*.f64 (/.f64 x.im x.re) x.im) -1/2 (fma.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (neg.f64 x.re)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 1/8 (/.f64 (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 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (-.f64 (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) x.re)))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 (*.f64 (/.f64 x.im x.re) x.im) -1/2 (fma.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (neg.f64 x.re))))
(-.f64 (+.f64 1 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) 1/3)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 3)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 2)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(log.f64 (pow.f64 (exp.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.im x.re) y.re))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 3) (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 3)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(exp.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) 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))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(-.f64 (+.f64 1 (hypot.f64 x.im x.re)) 1)
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(*.f64 (hypot.f64 x.im x.re) 1)
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(*.f64 1 (hypot.f64 x.im x.re))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(*.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 2) (cbrt.f64 (hypot.f64 x.im x.re)))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(*.f64 (sqrt.f64 (hypot.f64 x.im x.re)) (sqrt.f64 (hypot.f64 x.im x.re)))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(pow.f64 (hypot.f64 x.im x.re) 1)
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (hypot.f64 x.im x.re) 2) 1/2)
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(pow.f64 (pow.f64 (hypot.f64 x.im x.re) 3) 1/3)
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 3)
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) 2)
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) 2))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(log.f64 (exp.f64 (hypot.f64 x.im x.re)))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) 3))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(expm1.f64 (log1p.f64 (hypot.f64 x.im x.re)))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(log1p.f64 (expm1.f64 (hypot.f64 x.im x.re)))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)
(exp.f64 (log.f64 (hypot.f64 x.im x.re)))
(+.f64 1 (-.f64 (hypot.f64 x.im x.re) 1))
(+.f64 (hypot.f64 x.im x.re) 0)
(hypot.f64 x.im x.re)

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 x.im (*.f64 x.re x.re))
✓	7.7b	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
	26.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	30.9b	(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 216 to 52 computations (75.9% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	0	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
1.0ms	x.re	@	inf	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
1.0ms	x.re	@	0	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
1.0ms	x.im	@	inf	(log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (*.f64 x.re x.re))) x.im))
1.0ms	x.im	@	inf	(/.f64 x.im (*.f64 x.re x.re))

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`prod-diff_binary64`
502×	`log-prod_binary64`
302×	`pow-prod-down_binary64`
265×	`pow2_binary64`
245×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	204	22
2	2917	22

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

619×	`times-frac_binary64`
615×	`fma-def_binary64`
470×	`associate-/r*_binary64`
372×	`associate-/l*_binary64`
236×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	2318
1	720	2220
2	2157	2196

Stop Event

1×	node limit

Counts

126 → 180

Calls

Call 1

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

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

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
✓	0.3b	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re))))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.9b	(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 103 to 33 computations (68% saved)

series85.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
28.0ms	y.re	@	inf	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re))))
20.0ms	y.re	@	-inf	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re))))
13.0ms	x.im	@	inf	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re))))
4.0ms	x.im	@	0	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re))))
4.0ms	x.re	@	inf	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re))))

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log-prod_binary64`
382×	`pow2_binary64`
294×	`pow-unpow_binary64`
278×	`prod-diff_binary64`
264×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	333	32
2	3920	32

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 1) (*.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 (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 (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 (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 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simplify159.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

558×	`associate-r_binary64`
507×	`unswap-sqr_binary64`
478×	`fma-def_binary64`
443×	`associate-l_binary64`
376×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	6610
1	1678	5542
2	6523	4867

Stop Event

1×	node limit

Counts

138 → 251

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y.re 2) (-.f64 (.f64 9/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (.f64 3 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))) (+.f64 1 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y.re 2) (-.f64 (.f64 9/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (.f64 3 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))) (+.f64 1 (+.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 1/3 (.f64 (pow.f64 y.re 3) (-.f64 (.f64 9/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (.f64 2 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (-.f64 (.f64 9/2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (.f64 3 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))))))))))
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) 1/3)
(pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) 1/3)
(+.f64 (pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) 1/3) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re))))) 1/3) (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) 2)) 1/3) (.f64 (-.f64 (.f64 (+.f64 (.f64 -3/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re))))) (.f64 3/4 (/.f64 (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) (pow.f64 y.re 2)) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))) (+.f64 (pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) 1/3) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re))))) 1/3) (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) 2)) 1/3) (.f64 (-.f64 (.f64 (+.f64 (.f64 -3/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re))))) (.f64 3/4 (/.f64 (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) (pow.f64 y.re 2)) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) 2)) 1/3) (.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) (+.f64 (.f64 9/16 (/.f64 (pow.f64 y.re 3) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 y.re (pow.f64 x.re 6))) (.f64 -9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 6)))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) (+.f64 (.f64 -3/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 9/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4))))) (.f64 3/4 (/.f64 (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) (pow.f64 y.re 2)) (pow.f64 x.re 4)))) y.re) (pow.f64 x.re 2)) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) (pow.f64 y.re 3)) (pow.f64 x.re 6))))) (pow.f64 x.im 6)))) (+.f64 (pow.f64 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re)))) 1/3) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3 (.f64 y.re (log.f64 x.re))))) 1/3) (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))))))
(pow.f64 (exp.f64 (.f64 -3 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) 1/3)
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(*.f64 y.re (atan2.f64 x.im x.re))
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(+.f64 0 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))))) 1)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))) (cbrt.f64 (exp.f64 (.f64 2/3 (.f64 3 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (.f64 3 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))) 1/6) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 3) y.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) 1/3))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))) 1)
(pow.f64 (exp.f64 (.f64 2/3 (.f64 3 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))) 1/6) 2)
(sqrt.f64 (exp.f64 (.f64 2/3 (.f64 3 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (.f64 1/3 (.f64 3 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (.f64 (.f64 3 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) 1/3))
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(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(+.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re)))
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(+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 1) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.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 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.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 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1)
(.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 1)
(.f64 1 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))
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(.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 2) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
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(pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 1)
(pow.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 3) 1/3)
(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)
(pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 2))
(log.f64 (exp.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re) (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log.f64 (.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (+.f64 1 (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log1p.f64 (expm1.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(exp.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(exp.f64 (.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1))

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

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.4b	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
	30.9b	(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 164 to 24 computations (85.4% saved)

series162.0ms (0.5%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
61.0ms	y.im	@	inf	(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
24.0ms	y.re	@	0	(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
15.0ms	x.re	@	0	(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
13.0ms	x.im	@	inf	(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
12.0ms	x.re	@	-inf	(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))

rewrite131.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
400×	`pow-pow_binary64`
346×	`pow2_binary64`
307×	`pow-unpow_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	261	22
2	3223	22

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

819×	`times-frac_binary64`
547×	`associate-/l*_binary64`
468×	`associate-/r*_binary64`
455×	`fma-def_binary64`
350×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	839	4294979332
1	2943	11010

Stop Event

1×	node limit

Counts

77 → 148

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 y.re (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 2)))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2))))) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 y.re (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 2)))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 2)) 1/3) (.f64 (-.f64 (.f64 (+.f64 (/.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)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.re y.re) 2)) (.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (pow.f64 x.re 4))))) (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 7) 1) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.re y.re) 2)) (.f64 (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (pow.f64 x.re 4)))))) (pow.f64 x.im 4)))) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 y.re (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 2)))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 2)) 1/3) (.f64 (-.f64 (.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.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))))) (pow.f64 x.re y.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 y.re 3) (pow.f64 (pow.f64 x.re y.re) 3)) (.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 3) (pow.f64 x.re 6)))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) (.f64 y.re (pow.f64 (pow.f64 x.re y.re) 2))) (.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.re y.re) 2)) (.f64 (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (pow.f64 x.re 4)))) (/.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)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 7)) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.re y.re) 2)) (.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (pow.f64 x.re 4)))))) (.f64 y.re (pow.f64 x.re y.re))) (.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.re 2))) (pow.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 4) 1) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 4)) 1/3))) (.f64 1/216 (/.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 3) (.f64 (pow.f64 y.re 3) (pow.f64 (pow.f64 x.re y.re) 3))) (.f64 (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 3) (.f64 (pow.f64 x.re 6) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 2))))))) (pow.f64 x.im 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 2)) 1/3) (.f64 (-.f64 (.f64 (+.f64 (/.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)))) (pow.f64 x.re y.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/8 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.re y.re) 2)) (.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2) (pow.f64 x.re 4))))) (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))) (.f64 1/12 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 7) 1) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 4)) 1/3) (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.re y.re) 2)) (.f64 (pow.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2) (pow.f64 x.re 4)))))) (pow.f64 x.im 4)))) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3))))
(pow.f64 (exp.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
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(pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 1/3)
(+.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 1/3) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 7)) 1/9) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 2)) 1/3) (.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))))) (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 17)) 1/9) (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2))))) (pow.f64 y.im 2)))) (+.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 1/3) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 7)) 1/9) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 2)) 1/3) (.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))))) (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 17)) 1/9) (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2))))) (pow.f64 y.im 2)))) (+.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 7)) 1/9) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 2)) 1/3) (.f64 (-.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (atan2.f64 x.im x.re))) (.f64 -1 (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (atan2.f64 x.im x.re)))))))) (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 4)) 1/9) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))))) (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 17)) 1/9) (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2))))) (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 7)) 1/3) (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 4)) 1/9) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))))) (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 17)) 1/9) (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))))))))) (pow.f64 y.im 3)))))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(+.f64 0 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (cbrt.f64 (exp.f64 (.f64 2/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(*.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1/3))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 3) 1/9)
(pow.f64 (exp.f64 (*.f64 2/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/6) 2)
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/3))
(pow.f64 (exp.f64 1) (*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/3))
(sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(exp.f64 (*.f64 1/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1))

Outputs
(pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) 2)) 1/3) (/.f64 (.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 y.re (.f64 (pow.f64 x.re y.re) (pow.f64 x.im 2)))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re 2))))) (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2))) (.f64 (/.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (/.f64 (.f64 y.re (.f64 (pow.f64 x.re y.re) (.f64 x.im x.im))) (.f64 x.re x.re)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2))) (.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 (.f64 y.re (pow.f64 x.re y.re)) (.f64 x.im x.im)) (*.f64 x.re x.re)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
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(pow.f64 (exp.f64 (/.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
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(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (exp.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
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(+.f64 (fma.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2)))) (.f64 (fma.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (fma.f64 1/2 (.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 2 y.re)) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/2 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 2 y.re)) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 17) 1/18) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 17) 1/18))))) (.f64 y.im y.im)) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2))) (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (-.f64 (fma.f64 -1/6 (.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) -1/2)) (atan2.f64 x.im x.re))) (+.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (atan2.f64 x.im x.re) 3)) -1/3) (.f64 (atan2.f64 x.im x.re) (.f64 1/2 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))))))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 4) 1/18) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 4) 1/18)) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) (fma.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (fma.f64 1/2 (.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 2 y.re)) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/2 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 2 y.re)) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 17) 1/18) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 17) 1/18))))))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 4) 1/18) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 4) 1/18)) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) (fma.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (fma.f64 1/2 (.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 2 y.re)) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/2 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 2 y.re)) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 17) 1/18) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 17) 1/18))))))) (.f64 (.f64 -1/27 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 7))) (.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) (pow.f64 y.im 3))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 7) 1/18) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 7) 1/18)) (.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re))))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(+.f64 0 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))))))
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(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(*.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/6) (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/6))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 1/3 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 1/3 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1/18) (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1/18))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 3) 1/18) (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 3) 1/18))
(pow.f64 (exp.f64 (*.f64 2/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 1/2)
(sqrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) 3)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) 2/3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/6) 2)
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/3))
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(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) (*.f64 1/3 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(pow.f64 (exp.f64 1) (*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1/3))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (*.f64 1/3 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 2)) (*.f64 1/3 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (*.f64 1/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1/3))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (.f64 1/3 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))))
(cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))

eval2.1s (6.3%)

Compiler: Compiled 110025 to 45286 computations (58.8% saved)

prune1.1s (3.3%)

Pruning

56 alts after pruning (56 fresh and 0 done)

	Pruned	Kept	Total
New	1644	36	1680
Fresh	16	20	36
Picked	1	0	1
Done	4	0	4
Total	1665	56	1721

Error

3.1b

Counts

1721 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	51.6b	(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)))))
	31.9b	(-.f64 (+.f64 1 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1)
	13.2b	(.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3) y.re) (log.f64 (hypot.f64 x.im x.re))) 1/6) 2) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	28.4b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))
	45.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	46.2b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))))
▶	46.2b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	37.5b	(.f64 (pow.f64 (-.f64 (.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2) x.im) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	35.7b	(.f64 (pow.f64 (-.f64 (.f64 (/.f64 -1/2 x.re) (.f64 x.im x.im)) x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	39.0b	(.f64 (pow.f64 (neg.f64 x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	31.0b	(.f64 (pow.f64 x.re y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	40.5b	(.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	41.3b	(.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	51.7b	(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re y.re))))
	10.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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)))))
	44.1b	(.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 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im -1)))))) 3))
	44.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
	33.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 1))))
	36.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
	32.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))
	49.3b	(.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 y.im (log.f64 (.f64 x.im -1))))) 2)))
	36.2b	(.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 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	17.9b	(.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
	37.9b	(.f64 (.f64 3 (log.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))))
	10.1b	(.f64 (.f64 3 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1/18) (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1/18)))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	10.5b	(.f64 (.f64 3 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))))
▶	14.4b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	55.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) 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))))
	48.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	56.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) 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)))))
	17.8b	(.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 (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))
	27.1b	(.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)))
	45.7b	(.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 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	40.6b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	51.4b	(.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))) (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)))))))))
	31.3b	(.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))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
	24.6b	(.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))) (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)))
	50.4b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	36.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	31.1b	(.f64 (cbrt.f64 (pow.f64 (/.f64 1 x.re) (.f64 y.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)))))
	37.4b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))))
	52.8b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (pow.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 3) 1/3)))
	13.8b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (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)))
	42.0b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	13.7b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (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))))))
	22.6b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	42.1b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 2))))
	25.1b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
	40.7b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 3))))
	18.6b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3)))) (.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))))
▶	19.4b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3)))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	13.1b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (.f64 3 (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im)) 1))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	9.0b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 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)))))
	10.6b	(.f64 (cbrt.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	50.4b	(*.f64 y.re (atan2.f64 x.im x.re))
	36.6b	(.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

Compiler

Compiled 3534 to 2146 computations (39.3% saved)

localize152.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	1.5b	(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
	30.9b	(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 270 to 144 computations (46.7% saved)

series22.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y.im	@	0	(cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
2.0ms	x.im	@	0	(cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
2.0ms	x.im	@	inf	(cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
2.0ms	x.re	@	inf	(cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))
2.0ms	x.re	@	-inf	(cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
863×	`add-log-exp_binary64`
863×	`log1p-expm1-u_binary64`
863×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	210	26
2	2385	26

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))))

Outputs

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

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

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-def_binary64`
410×	`*-commutative_binary64`
344×	`distribute-rgt-neg-in_binary64`
336×	`fma-neg_binary64`
332×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1831
1	445	1803
2	1531	1725
3	5179	1674

Stop Event

1×	node limit

Counts

106 → 62

Calls

Call 1

Inputs
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (E.f64) 1/3)
(+.f64 (pow.f64 (E.f64) 1/3) (.f64 (.f64 (E.f64) (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9)))
(+.f64 (pow.f64 (E.f64) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (pow.f64 y.im 2) (-.f64 (.f64 9 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 4)) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (pow.f64 (exp.f64 1) 7) 1/3)))))))) (.f64 (.f64 (E.f64) (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 (E.f64) (+.f64 (.f64 9 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 27/2 (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 9 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (exp.f64 1))) (.f64 3 (.f64 (pow.f64 (pow.f64 (E.f64) 7) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (exp.f64 1) 4)) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (atan2.f64 x.im x.re)) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 8)) 1/9) (pow.f64 (pow.f64 (exp.f64 1) 4) 1/3)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 (exp.f64 1) 3))))) (pow.f64 y.im 3)))) (+.f64 (pow.f64 (E.f64) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (pow.f64 y.im 2) (-.f64 (.f64 9 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 4)) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (pow.f64 (exp.f64 1) 7) 1/3)))))))) (.f64 (.f64 (E.f64) (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9)))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(+.f64 0 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 2 (.f64 3 y.im))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 1 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))) 1)
(pow.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)) 1)
(pow.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))) 3)
(pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))) 2)
(sqrt.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im)) 3))
(cbrt.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 (.f64 3 y.im) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 y.im) 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(expm1.f64 (log1p.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))
(log1p.f64 (expm1.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))
(exp.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))
(-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))) 1)
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))) 1/6) (pow.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))) 3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(exp.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)) 1/3))

Outputs
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(.f64 3 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (exp.f64 (exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (E.f64) 1/3)
(cbrt.f64 (E.f64))
(+.f64 (pow.f64 (E.f64) 1/3) (.f64 (.f64 (E.f64) (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9)))
(+.f64 (cbrt.f64 (E.f64)) (.f64 (.f64 (.f64 (E.f64) y.im) (atan2.f64 x.im x.re)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18))))
(fma.f64 (E.f64) (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (/.f64 1 (exp.f64 2)) 1/18) (pow.f64 (/.f64 1 (exp.f64 2)) 1/18))) (cbrt.f64 (E.f64)))
(fma.f64 (E.f64) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (*.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18)))) (cbrt.f64 (E.f64)))
(+.f64 (pow.f64 (E.f64) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (pow.f64 y.im 2) (-.f64 (.f64 9 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 4)) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (pow.f64 (exp.f64 1) 7) 1/3)))))))) (.f64 (.f64 (E.f64) (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))))
(+.f64 (cbrt.f64 (E.f64)) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (.f64 y.im y.im)) (+.f64 (.f64 9 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cbrt.f64 (pow.f64 (E.f64) 7))))))) (.f64 (.f64 (.f64 (E.f64) y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18)))))
(+.f64 (cbrt.f64 (E.f64)) (fma.f64 1/3 (.f64 (fma.f64 9 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (.f64 (cbrt.f64 (pow.f64 (E.f64) 7)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (atan2.f64 x.im x.re) 2)))) -3)) (.f64 (cbrt.f64 (/.f64 1 (exp.f64 2))) (.f64 y.im y.im))) (.f64 (.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im (E.f64))) (pow.f64 (/.f64 1 (exp.f64 2)) 1/18)) (pow.f64 (/.f64 1 (exp.f64 2)) 1/18))))
(fma.f64 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 (E.f64) (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18))) (fma.f64 (.f64 (.f64 y.im y.im) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (-.f64 (.f64 (E.f64) 9) (.f64 3 (.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 4)) 1/18) (pow.f64 (/.f64 1 (exp.f64 4)) 1/18)) (cbrt.f64 (pow.f64 (E.f64) 7))))))) (*.f64 1/3 (cbrt.f64 (exp.f64 -2))) (cbrt.f64 (E.f64))))
(fma.f64 (.f64 y.im (atan2.f64 x.im x.re)) (.f64 (E.f64) (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18))) (fma.f64 (.f64 (.f64 y.im y.im) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (fma.f64 (E.f64) 9 (.f64 (.f64 (pow.f64 (exp.f64 -4) 1/18) (pow.f64 (exp.f64 -4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (E.f64) 7)) -3))))) (.f64 1/3 (cbrt.f64 (exp.f64 -2))) (cbrt.f64 (E.f64))))
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(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (.f64 y.im (atan2.f64 x.im x.re)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re))))) 1/6) 4)
(pow.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 1)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))) 3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))) 1/6) 2)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)))) 2))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))
(exp.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)) 1/3))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 3) (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 3 y.im))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 15 to 6 computations (60% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	2.5b	(exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
✓	7.6b	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	8.4b	(sin.f64 (exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series173.0ms (0.5%)

Counts

3 → 84

Calls

27 calls:

Time	Variable		Point	Expression
41.0ms	x.im	@	0	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
28.0ms	x.im	@	-inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
19.0ms	x.re	@	inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
16.0ms	x.re	@	-inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
16.0ms	x.im	@	inf	(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	160	25
2	1783	25

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

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

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

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
622×	`log-prod_binary64`
484×	`unswap-sqr_binary64`
425×	`fma-neg_binary64`
381×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	177	1438
1	403	1434
2	1389	1434
3	5945	1434

Stop Event

1×	node limit

Counts

153 → 87

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

Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 -1/6 (pow.f64 (.f64 y.re (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)))))
(fma.f64 -1/6 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (*.f64 1/120 (pow.f64 y.re 5)) (pow.f64 (atan2.f64 x.im x.re) 5))))
(fma.f64 -1/6 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (pow.f64 y.re 5) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 5) 1/120))))
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(+.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))))))
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(fma.f64 -1/6 (pow.f64 (.f64 y.re (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 (pow.f64 y.re 7) (.f64 (pow.f64 (atan2.f64 x.im x.re) 7) -1/5040)))))
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(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y.re))) (log.f64 (.f64 -1 (atan2.f64 x.im x.re))))
(fma.f64 -1 (log.f64 (/.f64 -1 y.re)) (log.f64 (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (log.f64 (neg.f64 (atan2.f64 x.im x.re))) (log.f64 (/.f64 -1 y.re)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 y.re))) (log.f64 (.f64 -1 (atan2.f64 x.im x.re))))
(fma.f64 -1 (log.f64 (/.f64 -1 y.re)) (log.f64 (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (log.f64 (neg.f64 (atan2.f64 x.im x.re))) (log.f64 (/.f64 -1 y.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))
(-.f64 (+.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (log.f64 (atan2.f64 x.im x.re)) (log.f64 y.re))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (log.f64 y.re) (log.f64 (atan2.f64 x.im x.re)))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 0 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (log.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) (log.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (+.f64 1 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 1 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (pow.f64 (log.f64 y.re) 3) (pow.f64 (log.f64 (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (log.f64 y.re) (log.f64 y.re)) (-.f64 (.f64 (log.f64 (atan2.f64 x.im x.re)) (log.f64 (atan2.f64 x.im x.re))) (*.f64 (log.f64 y.re) (log.f64 (atan2.f64 x.im x.re))))))
(/.f64 (+.f64 (pow.f64 (log.f64 y.re) 3) (pow.f64 (log.f64 (atan2.f64 x.im x.re)) 3)) (fma.f64 (log.f64 y.re) (log.f64 y.re) (*.f64 (log.f64 (atan2.f64 x.im x.re)) (-.f64 (log.f64 (atan2.f64 x.im x.re)) (log.f64 y.re)))))
(/.f64 (-.f64 (.f64 (log.f64 y.re) (log.f64 y.re)) (.f64 (log.f64 (atan2.f64 x.im x.re)) (log.f64 (atan2.f64 x.im x.re)))) (-.f64 (log.f64 y.re) (log.f64 (atan2.f64 x.im x.re))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3)
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log1p.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 1 (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (pow.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2) (.f64 (cbrt.f64 (atan2.f64 x.im x.re)) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (pow.f64 (cbrt.f64 y.re) 2) (.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (sqrt.f64 (atan2.f64 x.im x.re)) (.f64 (sqrt.f64 (atan2.f64 x.im x.re)) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (sqrt.f64 y.re) (.f64 (sqrt.f64 y.re) (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (.f64 y.re (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) 2)) (cbrt.f64 (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (.f64 y.re (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.re) 2)) (cbrt.f64 y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2)) (cbrt.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (E.f64) (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(*.f64 y.re (atan2.f64 x.im x.re))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.re 3)))
(*.f64 y.re (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(log1p.f64 (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
✓	0.9b	(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.9b	(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 106 to 20 computations (81.1% saved)

series38.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	inf	(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
6.0ms	x.re	@	inf	(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
5.0ms	y.re	@	inf	(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
5.0ms	x.im	@	0	(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
4.0ms	x.re	@	0	(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))

rewrite49.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
637×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	157	11
2	1830	11

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))

Outputs

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

simplify126.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-l_binary64`
564×	`unswap-sqr_binary64`
530×	`*-commutative_binary64`
425×	`fma-def_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	557	6022
1	1878	5755
2	6596	5118

Stop Event

1×	node limit

Counts

54 → 124

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (pow.f64 x.im y.re)) 1/3)
(+.f64 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 1/3) (.f64 1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 (pow.f64 x.im y.re))) 1/3) (/.f64 (.f64 (pow.f64 x.re 2) (*.f64 y.re (pow.f64 x.im y.re))) (pow.f64 x.im 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2)) 1/3) (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.im y.re) 2)) (pow.f64 x.im 4))) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (pow.f64 x.im y.re)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.im y.re) 2))) (pow.f64 x.im 4)))) (pow.f64 x.re 4)))) (+.f64 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 1/3) (.f64 1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 (pow.f64 x.im y.re))) 1/3) (/.f64 (.f64 (pow.f64 x.re 2) (*.f64 y.re (pow.f64 x.im y.re))) (pow.f64 x.im 2))))))
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(*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/6) (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) 3)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(exp.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1/3))

Outputs
(pow.f64 (exp.f64 (pow.f64 x.im y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 x.im y.re)))
(+.f64 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 1/3) (.f64 1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 (pow.f64 x.im y.re))) 1/3) (/.f64 (.f64 (pow.f64 x.re 2) (*.f64 y.re (pow.f64 x.im y.re))) (pow.f64 x.im 2)))))
(+.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (.f64 1/6 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (*.f64 y.re (pow.f64 x.im y.re)))))))
(fma.f64 1/6 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (.f64 (/.f64 (.f64 y.re (pow.f64 x.im y.re)) x.im) (/.f64 (.f64 x.re x.re) x.im))) (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2)) 1/3) (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.im y.re) 2)) (pow.f64 x.im 4))) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (pow.f64 x.im y.re)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.im y.re) 2))) (pow.f64 x.im 4)))) (pow.f64 x.re 4)))) (+.f64 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 1/3) (.f64 1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 (pow.f64 x.im y.re))) 1/3) (/.f64 (.f64 (pow.f64 x.re 2) (*.f64 y.re (pow.f64 x.im y.re))) (pow.f64 x.im 2))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2))) (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 x.im 4) (pow.f64 (pow.f64 x.im y.re) 2))) (.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))))))) (.f64 1/12 (/.f64 (exp.f64 (pow.f64 x.im y.re)) (/.f64 (pow.f64 x.im 4) (.f64 (.f64 y.re y.re) (pow.f64 (pow.f64 x.im y.re) 2)))))) (pow.f64 x.re 4))) (+.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (.f64 1/6 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (*.f64 y.re (pow.f64 x.im y.re))))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2))) (.f64 (pow.f64 x.re 4) (fma.f64 (exp.f64 (pow.f64 x.im y.re)) (fma.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 (.f64 y.re -1/4) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 x.im 4) (pow.f64 (pow.f64 x.im y.re) 2))))) (/.f64 (.f64 -1/12 (exp.f64 (pow.f64 x.im y.re))) (/.f64 (/.f64 (pow.f64 x.im 4) (.f64 y.re y.re)) (pow.f64 (pow.f64 x.im y.re) 2)))))) (fma.f64 1/6 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (.f64 (/.f64 (.f64 y.re (pow.f64 x.im y.re)) x.im) (/.f64 (*.f64 x.re x.re) x.im))) (cbrt.f64 (exp.f64 (pow.f64 x.im y.re)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2)) 1/3) (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.im y.re) 2)) (pow.f64 x.im 4))) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (pow.f64 x.im y.re)))) (.f64 1/12 (/.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.im y.re) 2))) (pow.f64 x.im 4)))) (pow.f64 x.re 4)))) (+.f64 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 1/3) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 (pow.f64 x.im y.re))) 1/3) (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (pow.f64 x.im y.re))) (pow.f64 x.im 2)))) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (+.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))))) (pow.f64 x.im y.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (.f64 y.re (pow.f64 (pow.f64 x.im y.re) 2))) (pow.f64 x.im 2))) (.f64 1/48 (/.f64 (.f64 (pow.f64 y.re 3) (pow.f64 (pow.f64 x.im y.re) 3)) (pow.f64 x.im 6)))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (pow.f64 x.im y.re) 2)) (pow.f64 x.im 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 1/12 (/.f64 (.f64 (pow.f64 y.re 2) (.f64 (exp.f64 (pow.f64 x.im y.re)) (pow.f64 (pow.f64 x.im y.re) 2))) (pow.f64 x.im 4)))) (.f64 y.re (pow.f64 x.im y.re))) (pow.f64 x.im 2))) (.f64 1/216 (/.f64 (.f64 (pow.f64 y.re 3) (*.f64 (exp.f64 (pow.f64 x.im y.re)) (pow.f64 (pow.f64 x.im y.re) 3))) (pow.f64 x.im 6))))) (pow.f64 x.re 6)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2)) 1/3))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2))) (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 x.im 4) (pow.f64 (pow.f64 x.im y.re) 2))) (.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))))))) (.f64 1/12 (/.f64 (exp.f64 (pow.f64 x.im y.re)) (/.f64 (pow.f64 x.im 4) (.f64 (.f64 y.re y.re) (pow.f64 (pow.f64 x.im y.re) 2)))))) (pow.f64 x.re 4))) (+.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (fma.f64 1/6 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.re (pow.f64 x.im y.re))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2))) (.f64 (-.f64 (.f64 (exp.f64 (pow.f64 x.im y.re)) (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))))) (pow.f64 x.im y.re) (fma.f64 1/2 (/.f64 (.f64 (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))) (.f64 y.re (pow.f64 (pow.f64 x.im y.re) 2))) (.f64 x.im x.im)) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (/.f64 (pow.f64 x.im 6) (pow.f64 (pow.f64 x.im y.re) 3))))))) (fma.f64 1/3 (/.f64 (fma.f64 (exp.f64 (pow.f64 x.im y.re)) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 x.im 4) (pow.f64 (pow.f64 x.im y.re) 2))) (.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)))))) (neg.f64 (.f64 1/12 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 x.im 4) (.f64 (exp.f64 (pow.f64 x.im y.re)) (pow.f64 (pow.f64 x.im y.re) 2))))))) (/.f64 (.f64 x.im x.im) (.f64 y.re (pow.f64 x.im y.re)))) (.f64 1/216 (/.f64 (pow.f64 y.re 3) (/.f64 (pow.f64 x.im 6) (*.f64 (exp.f64 (pow.f64 x.im y.re)) (pow.f64 (pow.f64 x.im y.re) 3))))))) (pow.f64 x.re 6)))))))
(+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2))) (.f64 (pow.f64 x.re 4) (fma.f64 (exp.f64 (pow.f64 x.im y.re)) (fma.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 (.f64 y.re -1/4) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 x.im 4) (pow.f64 (pow.f64 x.im y.re) 2))))) (/.f64 (.f64 -1/12 (exp.f64 (pow.f64 x.im y.re))) (/.f64 (/.f64 (pow.f64 x.im 4) (.f64 y.re y.re)) (pow.f64 (pow.f64 x.im y.re) 2)))))) (fma.f64 1/6 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))) (.f64 (/.f64 (.f64 y.re (pow.f64 x.im y.re)) x.im) (/.f64 (.f64 x.re x.re) x.im))) (cbrt.f64 (exp.f64 (pow.f64 x.im y.re))))) (.f64 (fma.f64 (exp.f64 (pow.f64 x.im y.re)) (fma.f64 (pow.f64 x.im y.re) (fma.f64 -1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 6) y.re)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)) (pow.f64 (pow.f64 x.im y.re) 3)) (.f64 1/2 (.f64 (/.f64 (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 (.f64 y.re -1/4) (pow.f64 x.im 4))) x.im) (/.f64 (.f64 y.re (pow.f64 (pow.f64 x.im y.re) 2)) x.im))))) (neg.f64 (fma.f64 1/3 (/.f64 (fma.f64 (exp.f64 (pow.f64 x.im y.re)) (fma.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 (.f64 y.re -1/4) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 y.re y.re) (/.f64 (pow.f64 x.im 4) (pow.f64 (pow.f64 x.im y.re) 2))))) (/.f64 (.f64 -1/12 (exp.f64 (pow.f64 x.im y.re))) (/.f64 (/.f64 (pow.f64 x.im 4) (.f64 y.re y.re)) (pow.f64 (pow.f64 x.im y.re) 2)))) (.f64 (/.f64 x.im y.re) (/.f64 x.im (pow.f64 x.im y.re)))) (.f64 1/216 (.f64 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)) (.f64 (exp.f64 (pow.f64 x.im y.re)) (pow.f64 (pow.f64 x.im y.re) 3))))))) (.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x.im y.re)) 2))) (pow.f64 x.re 6)) 1/3)))
(pow.f64 (exp.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) 1/3)
(cbrt.f64 (exp.f64 (exp.f64 (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re)))))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 y.re) (log.f64 x.re))))
(+.f64 (pow.f64 (exp.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) 1/3) (.f64 1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))))) 1/3) (/.f64 (.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 (cbrt.f64 (exp.f64 (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re))))))) (.f64 1/6 (.f64 (cbrt.f64 (exp.f64 (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re))))))) (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) (exp.f64 (neg.f64 (.f64 y.re (neg.f64 (log.f64 x.re)))))))))))
(fma.f64 (.f64 1/6 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re)))))) (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 (*.f64 x.im x.im) (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re))))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re))))))
(fma.f64 (.f64 1/6 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 y.re) (log.f64 x.re))))) (.f64 (/.f64 y.re (.f64 x.re x.re)) (.f64 (*.f64 x.im x.im) (pow.f64 (exp.f64 y.re) (log.f64 x.re)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 y.re) (log.f64 x.re)))))
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(+.f64 (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (exp.f64 2)))) (+.f64 (.f64 (pow.f64 y.re 3) (-.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (.f64 5/6 (E.f64))) (fma.f64 2/3 (.f64 (fma.f64 (E.f64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18)) (cbrt.f64 (pow.f64 (E.f64) 7)))) -1/3)) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (pow.f64 (E.f64) 4))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18)))) (.f64 1/27 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (.f64 (pow.f64 (E.f64) 3) (cbrt.f64 (/.f64 1 (exp.f64 2))))))))) (.f64 y.re (.f64 y.re (fma.f64 (E.f64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18)) (cbrt.f64 (pow.f64 (E.f64) 7)))) -1/3)))))) (fma.f64 1/3 (.f64 (E.f64) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (.f64 (pow.f64 (/.f64 1 (exp.f64 2)) 1/18) (pow.f64 (/.f64 1 (exp.f64 2)) 1/18))))) (cbrt.f64 (E.f64))))
(+.f64 (.f64 (.f64 1/3 (cbrt.f64 (exp.f64 -2))) (+.f64 (.f64 (pow.f64 y.re 3) (-.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (.f64 5/6 (E.f64))) (fma.f64 2/3 (.f64 (fma.f64 (E.f64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 4)) 1/18) (pow.f64 (/.f64 1 (exp.f64 4)) 1/18)) (cbrt.f64 (pow.f64 (E.f64) 7)))) -1/3)) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (exp.f64 4))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18)))) (.f64 1/27 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (.f64 (exp.f64 3) (cbrt.f64 (exp.f64 -2)))))))) (.f64 y.re (.f64 y.re (fma.f64 (E.f64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 4)) 1/18) (pow.f64 (/.f64 1 (exp.f64 4)) 1/18)) (cbrt.f64 (pow.f64 (E.f64) 7)))) -1/3)))))) (fma.f64 1/3 (.f64 (E.f64) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18))))) (cbrt.f64 (E.f64))))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) 1)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(*.f64 1 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) 2))))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/6) (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/6))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) 2))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))))
(pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) 1)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))) 3)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/6) 2)
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(exp.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1/3))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)))
(cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))

localize113.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
	1.3b	(log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
	7.8b	(pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3))
✓	20.2b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 165 to 59 computations (64.2% saved)

series12.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite93.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
409×	`exp-prod_binary64`
289×	`pow-prod-down_binary64`
285×	`pow2_binary64`
276×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	223	21
2	2549	21

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-def_binary64`
939×	`associate-/r*_binary64`
351×	`associate-/r/_binary64`
268×	`unswap-sqr_binary64`
265×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	4294970791
1	1079	3343
2	3649	3241

Stop Event

1×	node limit

Counts

127 → 181

Calls

Call 1

Inputs
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 7))) (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 1/120 (*.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 5))))))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(sin.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (sin.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (+.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 y.im (log.f64 x.re)))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 6)))) (pow.f64 x.im 6)) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6))))))) (pow.f64 x.im 6)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 6) (pow.f64 y.im 2))) (pow.f64 x.im 6))))))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6))))))) (pow.f64 x.im 6)) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 6) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))))))
(sin.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 2))) (sin.f64 (*.f64 y.im (log.f64 x.im))))
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(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 2))) (sin.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 4))) (sin.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.im))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 4))) (+.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 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)))) (pow.f64 x.re 6)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 6) (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))) (pow.f64 x.re 6))) (sin.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.re)) y.im))))))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 2))) (pow.f64 x.re 2))))))
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(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(+.f64 0 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1)
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sin.f64 1)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (cbrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (sqrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1) 1))
(+.f64 0 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) 1)
(*.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (cbrt.f64 (exp.f64 (.f64 2/3 (exp.f64 (atan2.f64 x.im x.re))))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (exp.f64 (atan2.f64 x.im x.re))))) (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(*.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/6) (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/6))
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1)
(pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) 1/6)
(pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 3) 1/9)
(pow.f64 (exp.f64 (*.f64 2/3 (exp.f64 (atan2.f64 x.im x.re)))) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/6) 2)
(pow.f64 (exp.f64 1/3) (exp.f64 (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)) (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (*.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(pow.f64 (exp.f64 1) (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 1) (*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3))
(pow.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))) (sqrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(sqrt.f64 (exp.f64 (*.f64 2/3 (exp.f64 (atan2.f64 x.im x.re)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(exp.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3))
(exp.f64 (.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 3))
(exp.f64 (.f64 (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))) 2))
(exp.f64 (.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1) 1))

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 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))
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(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sin.f64 1)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 1 (sin.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 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2) 1/2)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3) 1/3)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (exp.f64 1) (log.f64 (sin.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))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (cbrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (sqrt.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (sin.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))))
(log1p.f64 (expm1.f64 (sin.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))))
(exp.f64 (log.f64 (sin.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))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 3 (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1/3))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 3))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1) 1))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 0 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) 1)
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(*.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1)
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(*.f64 1 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (cbrt.f64 (exp.f64 (.f64 2/3 (exp.f64 (atan2.f64 x.im x.re))))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (exp.f64 1/9) (exp.f64 (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (exp.f64 (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2/3 (exp.f64 (atan2.f64 x.im x.re))))) (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (exp.f64 1/9) (exp.f64 (atan2.f64 x.im x.re))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (exp.f64 (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/6) (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/6))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3)
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1)
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 2) 1/6)
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 3) 1/18) (pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 3) 1/18))
(pow.f64 (exp.f64 (*.f64 2/3 (exp.f64 (atan2.f64 x.im x.re)))) 1/2)
(sqrt.f64 (pow.f64 (exp.f64 2/3) (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) 3)
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2/3)
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (cbrt.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(pow.f64 (pow.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/6) 2)
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 1/3) (exp.f64 (atan2.f64 x.im x.re)))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)) (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 2)) (*.f64 1/3 (cbrt.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (*.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))) (*.f64 1/3 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 1) (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 1) (*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(pow.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re)))) 1/3)
(cbrt.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (cbrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)) 2)) (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))) (sqrt.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3))) (sqrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3)))
(sqrt.f64 (exp.f64 (*.f64 2/3 (exp.f64 (atan2.f64 x.im x.re)))))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (exp.f64 (atan2.f64 x.im x.re))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re)))) 3))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 1/6 (exp.f64 (atan2.f64 x.im x.re))) 2))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/3) 1))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (exp.f64 (atan2.f64 x.im x.re))) 1) 1))
(cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))

eval1.7s (4.9%)

Compiler: Compiled 67901 to 33035 computations (51.3% saved)

prune912.0ms (2.7%)

Pruning

63 alts after pruning (62 fresh and 1 done)

	Pruned	Kept	Total
New	1063	29	1092
Fresh	18	33	51
Picked	1	0	1
Done	3	1	4
Total	1085	63	1148

Error

3.0b

Counts

1148 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	51.6b	(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)))))
	51.7b	(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3)
	55.3b	(pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)
	50.6b	(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3)
	51.2b	(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
	28.4b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))
	45.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	28.4b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 (pow.f64 (cbrt.f64 y.re) 2) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))))
	53.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re))))
	53.8b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (exp.f64 (sqrt.f64 (pow.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)))))
	35.7b	(.f64 (pow.f64 (-.f64 (.f64 (/.f64 -1/2 x.re) (.f64 x.im x.im)) x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	39.0b	(.f64 (pow.f64 (neg.f64 x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	31.0b	(.f64 (pow.f64 x.re y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	40.5b	(.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	41.3b	(.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	51.7b	(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re y.re))))
	10.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (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)))))
	33.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 1))))
	36.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 x.im) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
	49.3b	(.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 y.im (log.f64 (.f64 x.im -1))))) 2)))
	36.2b	(.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 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	17.9b	(.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
	38.4b	(.f64 (.f64 3 (log.f64 (fma.f64 1/3 (.f64 (E.f64) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18))))) (cbrt.f64 (E.f64))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	14.2b	(.f64 (.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) 1/6) 2))) (sin.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 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	14.3b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3))))
	45.3b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
	40.7b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	23.2b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	41.2b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 3))))
	30.4b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 y.re) (log.f64 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)))))
	55.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) 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))))
	48.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	56.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) 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)))))
	17.8b	(.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 (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))
	27.1b	(.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)))
	40.6b	(.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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.6b	(.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))) (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)))
	50.4b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	36.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	52.8b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (pow.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 3) 1/3)))
	13.8b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (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)))
	42.0b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	13.7b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (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))))))
	22.6b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	42.1b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 2))))
	25.1b	(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
	21.8b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))))))) (.f64 y.im 3)))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	19.4b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))))) (.f64 y.im 3)))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	45.4b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3)))) (sin.f64 (*.f64 y.im (log.f64 x.re))))
	22.6b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (.f64 3 (.f64 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))))) y.im)) 1))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.0b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)) 1/3)) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 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)))))
	6.9b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 2)) (log.f64 (pow.f64 (E.f64) 1/3))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	36.7b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))))))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	22.6b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	10.6b	(.f64 (cbrt.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3)))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
✓	50.4b	(*.f64 y.re (atan2.f64 x.im x.re))
	36.6b	(.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	51.7b	(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
	50.7b	(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	55.7b	(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
	55.6b	(exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	48.6b	(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))

Compiler

Compiled 1734 to 1121 computations (35.4% saved)

regimes786.0ms (2.3%)

Counts

122 → 1

Calls

Call 1

Inputs
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3)
(pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3) 1/3)
(.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
(.f64 (pow.f64 (neg.f64 x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))
(.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 (pow.f64 (-.f64 (.f64 (/.f64 -1/2 x.re) (.f64 x.im x.im)) x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (-.f64 (.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2) x.im) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (+.f64 1 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 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 (pow.f64 (hypot.f64 x.im x.re) y.re) (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 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (exp.f64 (log.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (pow.f64 x.re y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))))
(.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 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.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 (exp.f64 (-.f64 (.f64 (log.f64 (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 (-.f64 (/.f64 -1/2 (/.f64 x.im (.f64 x.re x.re))) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 (pow.f64 (cbrt.f64 y.re) 2) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (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 (cbrt.f64 (pow.f64 (/.f64 1 x.re) (.f64 y.re -3))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.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 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
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(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))))))) (.f64 y.im 3)))) (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))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (.f64 3 (log.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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 3 (log.f64 (fma.f64 1/3 (.f64 (E.f64) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18))))) (cbrt.f64 (E.f64))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (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))))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 2)) (log.f64 (pow.f64 (E.f64) 1/3))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 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) (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 y.im (log.f64 (neg.f64 x.im))))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))))) (sin.f64 1))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 3 y.re)) (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 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 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re)) 1/3)) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 3 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 y.im (log.f64 (hypot.f64 x.re x.im))))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.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))) (fma.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 -1 x.im))))) (cos.f64 (.f64 2 (fma.f64 y.im (log.f64 (.f64 -1 x.im)) (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 -1 x.im))))) (sin.f64 (.f64 2 (fma.f64 y.im (log.f64 (.f64 -1 x.im)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))))))
(.f64 (.f64 3 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1/18) (pow.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1/18)))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) (pow.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (.f64 y.im 3)))) (.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (+.f64 1 (expm1.f64 (-.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 3 (log.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2) (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))

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

Calls

5 calls:

165.0ms	y.im
162.0ms	y.re
152.0ms	x.im
99.0ms	x.re
46.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
3.7b	1	`x.re`
3.7b	1	`x.im`
3.7b	1	`y.re`
3.7b	1	`y.im`
3.7b	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 3525 to 1040 computations (70.5% saved)

regimes333.0ms (1%)

Counts

56 → 3

Calls

Call 1

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

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

Calls

5 calls:

117.0ms	y.im
82.0ms	y.re
35.0ms	x.re
35.0ms	x.im
30.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
8.1b	1	`x.re`
8.1b	1	`x.im`
3.6b	3	`y.re`
3.8b	3	`y.im`
5.2b	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 1084 to 307 computations (71.7% saved)

bsearch133.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	0.6101413259687055	24862528697.476044
35.0ms	-9.818282896903958e+56	-1.1124707254317662e+52

Results

58.0ms	247×	body	256	valid
51.0ms	100×	body	256	infinite
9.0ms	19×	body	512	infinite
5.0ms	8×	body	1024	infinite
3.0ms	7×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 928 to 521 computations (43.9% saved)

regimes753.0ms (2.2%)

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

224.0ms	x.re
176.0ms	x.im
160.0ms	y.re
112.0ms	y.im
27.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
10.7b	3	`x.re`
10.5b	4	`x.im`
7.9b	4	`y.re`
4.1b	3	`y.im`
6.3b	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 1059 to 306 computations (71.1% saved)

bsearch104.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	2894.5586543568206	2899378.002788919
57.0ms	-2.841751991997307e+27	-399096478406970.3

Results

71.0ms	288×	body	256	valid
16.0ms	68×	body	256	infinite
9.0ms	3×	body	1024	infinite
1.0ms	3×	body	512	infinite

Compiler

Compiled 912 to 547 computations (40% saved)

regimes666.0ms (2%)

Counts

36 → 7

Calls

Call 1

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

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

Calls

4 calls:

266.0ms	x.re
214.0ms	x.im
124.0ms	y.im
46.0ms	y.re

Results

Error	Segments	Branch
14.2b	4	`x.re`
15.6b	3	`x.im`
9.8b	3	`y.re`
9.4b	7	`y.im`

Compiler

Compiled 548 to 184 computations (66.4% saved)

bsearch493.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
51.0ms	2894.5586543568206	2899378.002788919
64.0ms	3.608120855995626e-280	4.0750265136962564e-279
61.0ms	-5.2780309529895735e-244	-1.1382371318044814e-244
78.0ms	-2.9102489361195797e-175	-4.52542805309897e-176
84.0ms	-1.8269069533719468e-75	-2.5683694455492668e-80
153.0ms	-2.841751991997307e+27	-399096478406970.3

Results

423.0ms	720×	body	256	valid
28.0ms	80×	body	256	infinite
15.0ms	11×	body	1024	infinite
2.0ms	1×	body	2048	infinite
2.0ms	2×	body	512	infinite

Compiler

Compiled 2010 to 1375 computations (31.6% saved)

regimes453.0ms (1.3%)

Counts

31 → 8

Calls

Call 1

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

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

Calls

4 calls:

200.0ms	y.im
90.0ms	x.im
89.0ms	y.re
62.0ms	x.re

Results

Error	Segments	Branch
17.2b	4	`x.re`
15.6b	5	`x.im`
12.2b	3	`y.re`
10.5b	8	`y.im`

Compiler

Compiled 427 to 146 computations (65.8% saved)

bsearch323.0ms (1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
56.0ms	6.575307403404808e+90	1.1915970236051896e+92
43.0ms	2894.5586543568206	2899378.002788919
31.0ms	3.608120855995626e-280	4.0750265136962564e-279
25.0ms	-5.2780309529895735e-244	-1.1382371318044814e-244
26.0ms	-2.9102489361195797e-175	-4.52542805309897e-176
51.0ms	-1.8269069533719468e-75	-2.5683694455492668e-80
91.0ms	-2.031790540573722e+228	-1.3108256010247892e+227

Results

189.0ms	731×	body	256	valid
60.0ms	85×	body	1024	infinite
21.0ms	20×	body	1024	valid
18.0ms	28×	body	512	infinite
11.0ms	17×	body	512	valid
6.0ms	26×	body	256	infinite
3.0ms	1×	body	2048	infinite

Compiler

Compiled 2030 to 1418 computations (30.1% saved)

regimes610.0ms (1.8%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

217.0ms	y.im
173.0ms	x.re
117.0ms	x.im
84.0ms	y.re

Results

Error	Segments	Branch
19.1b	7	`x.re`
20.1b	3	`x.im`
12.2b	3	`y.re`
13.7b	8	`y.im`

Compiler

Compiled 372 to 125 computations (66.4% saved)

bsearch127.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	2.536927890564272e-17	6.747048559506284e-16
96.0ms	-0.6418818449125704	-2.2931869224044096e-15

Results

84.0ms	251×	body	256	valid
25.0ms	4×	body	1024	infinite
7.0ms	10×	body	1024	valid
5.0ms	11×	body	512	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 706 to 466 computations (34% saved)

regimes193.0ms (0.6%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

4 calls:

66.0ms	x.re
52.0ms	y.re
40.0ms	y.im
28.0ms	x.im

Results

Error	Segments	Branch
27.0b	3	`x.re`
27.1b	3	`x.im`
21.6b	3	`y.re`
21.0b	4	`y.im`

Compiler

Compiled 255 to 94 computations (63.1% saved)

bsearch146.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
6.0ms	6.575307403404808e+90	1.1915970236051896e+92
44.0ms	3.5934333445161833e-13	0.0006709466380181696
95.0ms	-2.031790540573722e+228	-1.3108256010247892e+227

Results

70.0ms	87×	body	1024	infinite
57.0ms	239×	body	256	valid
11.0ms	16×	body	1024	valid
2.0ms	5×	body	512	infinite
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 646 to 424 computations (34.4% saved)

regimes101.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

29.0ms	y.im
27.0ms	y.re
26.0ms	x.re
12.0ms	x.im

Results

Error	Segments	Branch
27.0b	3	`x.re`
28.2b	1	`x.im`
21.6b	3	`y.re`
22.2b	3	`y.im`

Compiler

Compiled 222 to 85 computations (61.7% saved)

bsearch82.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	6.747048559506284e-16	1.7438016962316455e-13
43.0ms	-3.6428301238753114e-16	-3.4551563717612136e-19

Results

55.0ms	226×	body	256	valid
10.0ms	15×	body	1024	valid
6.0ms	15×	body	512	valid
4.0ms	6×	body	1024	infinite
1.0ms	4×	body	256	infinite

Compiler

Compiled 608 to 385 computations (36.7% saved)

regimes127.0ms (0.4%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	y.re
27.0ms	y.im
10.0ms	x.im
9.0ms	x.re

Results

Error	Segments	Branch
28.2b	1	`x.re`
28.2b	1	`x.im`
24.9b	5	`y.re`
25.9b	3	`y.im`

Compiler

Compiled 208 to 81 computations (61.1% saved)

bsearch223.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
64.0ms	6.747048559506284e-16	1.7438016962316455e-13
41.0ms	3.303898962818337e-19	7.717461517171289e-19
66.0ms	1.6512383794671766e-228	5.417553311980773e-225
52.0ms	-7.52667396998597e-114	-1.222835407057493e-120

Results

167.0ms	444×	body	256	valid
15.0ms	15×	body	1024	valid
14.0ms	21×	body	512	valid
7.0ms	6×	body	1024	infinite
4.0ms	10×	body	256	infinite
3.0ms	4×	body	512	infinite

Compiler

Compiled 971 to 673 computations (30.7% saved)

regimes170.0ms (0.5%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	y.re
48.0ms	y.im
18.0ms	x.re
17.0ms	x.im

Results

Error	Segments	Branch
28.4b	1	`x.re`
28.4b	1	`x.im`
25.1b	5	`y.re`
26.1b	3	`y.im`

Compiler

Compiled 196 to 80 computations (59.2% saved)

bsearch230.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
58.0ms	6.747048559506284e-16	1.7438016962316455e-13
42.0ms	3.303898962818337e-19	7.717461517171289e-19
58.0ms	1.6512383794671766e-228	5.417553311980773e-225
72.0ms	-7.52667396998597e-114	-1.222835407057493e-120

Results

173.0ms	444×	body	256	valid
18.0ms	16×	body	1024	valid
15.0ms	20×	body	512	valid
6.0ms	10×	body	256	infinite
4.0ms	4×	body	1024	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 962 to 664 computations (31% saved)

regimes153.0ms (0.5%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

4 calls:

69.0ms	y.re
44.0ms	y.im
16.0ms	x.re
16.0ms	x.im

Results

Error	Segments	Branch
28.4b	1	`x.re`
28.4b	1	`x.im`
25.2b	5	`y.re`
26.1b	3	`y.im`

Compiler

Compiled 146 to 61 computations (58.2% saved)

bsearch254.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
62.0ms	6.747048559506284e-16	1.7438016962316455e-13
51.0ms	7.717461517171289e-19	2.536927890564272e-17
63.0ms	1.6512383794671766e-228	5.417553311980773e-225
78.0ms	-7.52667396998597e-114	-1.222835407057493e-120

Results

193.0ms	476×	body	256	valid
19.0ms	24×	body	512	valid
16.0ms	12×	body	1024	valid
8.0ms	7×	body	1024	infinite
4.0ms	10×	body	256	infinite
1.0ms	1×	body	512	infinite

Compiler

Compiled 983 to 680 computations (30.8% saved)

regimes416.0ms (1.2%)

Counts

13 → 6

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (neg.f64 x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Calls

4 calls:

190.0ms	x.im
93.0ms	y.im
68.0ms	y.re
58.0ms	x.re

Results

Error	Segments	Branch
30.2b	6	`x.re`
31.1b	5	`x.im`
31.5b	5	`y.re`
32.6b	6	`y.im`

Compiler

Compiled 135 to 58 computations (57% saved)

bsearch511.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
107.0ms	5.6889740020413704e+104	2.980724912811596e+109
84.0ms	0.0004886861263983075	2.5750945725737258
78.0ms	9.197084595586046e-49	1.2555159988128846e-43
174.0ms	3.401552325649394e-148	2.0025325393574625e-138
67.0ms	-5.095410768317003e-12	-1.3741431061582786e-19

Results

400.0ms	696×	body	256	valid
70.0ms	46×	body	1024	infinite
15.0ms	33×	body	256	infinite
8.0ms	18×	body	512	infinite
3.0ms	7×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 1361 to 930 computations (31.7% saved)

regimes236.0ms (0.7%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

4 calls:

114.0ms	x.re
55.0ms	y.re
45.0ms	y.im
18.0ms	x.im

Results

Error	Segments	Branch
34.0b	6	`x.re`
34.4b	2	`x.im`
32.0b	5	`y.re`
34.9b	6	`y.im`

Compiler

Compiled 124 to 55 computations (55.6% saved)

bsearch216.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
47.0ms	6.747048559506284e-16	1.7438016962316455e-13
24.0ms	3.303898962818337e-19	7.717461517171289e-19
74.0ms	1.6512383794671766e-228	5.417553311980773e-225
69.0ms	-3.671966642765761e+23	-7.643687753852465e+22

Results

109.0ms	409×	body	256	valid
42.0ms	6×	body	1024	infinite
7.0ms	11×	body	1024	valid
6.0ms	25×	body	256	infinite
5.0ms	12×	body	512	valid
3.0ms	6×	body	512	infinite

Compiler

Compiled 778 to 565 computations (27.4% saved)

regimes248.0ms (0.7%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	x.im
75.0ms	y.re
69.0ms	y.im
24.0ms	x.re

Results

Error	Segments	Branch
39.0b	2	`x.re`
38.9b	3	`x.im`
33.5b	5	`y.re`
35.9b	5	`y.im`

Compiler

Compiled 103 to 48 computations (53.4% saved)

bsearch222.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
83.0ms	6.747048559506284e-16	1.7438016962316455e-13
44.0ms	3.303898962818337e-19	7.717461517171289e-19
63.0ms	1.6512383794671766e-228	5.417553311980773e-225
32.0ms	-5.745009481969304e+19	-4.545831490202342e+19

Results

148.0ms	360×	body	256	valid
18.0ms	14×	body	1024	valid
11.0ms	5×	body	1024	infinite
10.0ms	10×	body	512	valid
6.0ms	15×	body	256	infinite
2.0ms	3×	body	512	infinite

Compiler

Compiled 694 to 505 computations (27.2% saved)

regimes185.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)

Calls

4 calls:

55.0ms	y.im
44.0ms	x.re
44.0ms	x.im
36.0ms	y.re

Results

Error	Segments	Branch
47.3b	3	`x.re`
47.4b	3	`x.im`
46.4b	3	`y.re`
42.3b	3	`y.im`

Compiler

Compiled 93 to 45 computations (51.6% saved)

bsearch138.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	3094633.555695306	6512471085.865828
76.0ms	-7.216066759084907e-68	-2.2087262164241776e-69

Results

115.0ms	240×	body	256	valid
7.0ms	7×	body	1024	infinite
6.0ms	22×	body	256	infinite
3.0ms	4×	body	512	infinite
1.0ms	1×	body	2048	infinite

Compiler

Compiled 408 to 295 computations (27.7% saved)

regimes162.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

63.0ms	y.im
43.0ms	y.re
40.0ms	x.im
11.0ms	x.re

Results

Error	Segments	Branch
48.6b	1	`x.re`
48.6b	1	`x.im`
47.4b	3	`y.re`
44.7b	3	`y.im`

Compiler

Compiled 75 to 38 computations (49.3% saved)

bsearch199.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	3094633.555695306	6512471085.865828
81.0ms	-7.216066759084907e-68	-2.2087262164241776e-69

Results

168.0ms	240×	body	256	valid
12.0ms	27×	body	256	infinite
7.0ms	6×	body	1024	infinite
3.0ms	4×	body	512	infinite
2.0ms	1×	body	2048	infinite

Compiler

Compiled 393 to 280 computations (28.8% saved)

regimes40.0ms (0.1%)

Accuracy

Total -5.2b remaining (-10.4%)

Threshold costs -5.2b (-10.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	x.im
8.0ms	x.re
8.0ms	y.re
8.0ms	y.im

Results

Error	Segments	Branch
50.4b	1	`x.re`
50.4b	1	`x.im`
50.4b	1	`y.re`
50.4b	1	`y.im`

Compiler

Compiled 43 to 26 computations (39.5% saved)

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	1625
1	267	1625
2	280	1625
3	286	1625
4	288	1625

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re -14999999999999999898314230115424419646925626629160960) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 889460926405673/562949953421312) (.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 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -400000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 9600) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -400000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3470978933371479/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -5168389762150143/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im -3075078893078405/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 3600) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.im -309999999999999986697288602940203662108088957218628066002480880608071751067858473202234653371527036973791402889742988647152650177912595355850139514780426040198846121650410654318022409378387319749007576593957778095644035568893952) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -450559765389567/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -1247542356381069/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im -4151356505655847/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 1788272917343109/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 2900) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 118000000000000003960600150631902002412544762257449760258729460485256143526406531011944906752) (-.f64 (+.f64 1 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))))
(if (<=.f64 y.re -5742397643169489/151115727451828646838272) (.f64 (pow.f64 (-.f64 (.f64 (/.f64 -1/2 x.re) (.f64 x.im x.im)) x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 6693195169205051/10141204801825835211973625643008) (.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -134999999999999991491974894029637849116237509560303878781550162678651189917535320617111398443945865978307076082906939584026879861386082383731160240212738378472238268124208072064829799630745653082096198640944081546790401690566656) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 4593918114535591/1208925819614629174706176) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680) (-.f64 (+.f64 1 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re -1784852045121347/162259276829213363391578010288128) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 6813621976226733/39614081257132168796771975168) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -5814709794364855/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 9001819484387803/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.re 3946145612486469/5192296858534827628530496329220096) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re y.re)))) (if (<=.f64 y.re 8239728901483491/316912650057057350374175801344) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (.f64 (pow.f64 x.re y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.re -1162941958872971/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 6834714793701851/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.re 3946145612486469/5192296858534827628530496329220096) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re y.re)))) (if (<=.f64 y.re 5862884026055561/158456325028528675187087900672) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (.f64 (pow.f64 x.re y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.re -3881737571769141/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 137527797678147/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.re 2028240960365167/81129638414606681695789005144064) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 4555619344570199/39614081257132168796771975168) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 x.re -3713820117856141/2475880078570760549798248448) (.f64 (pow.f64 (neg.f64 x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 2196735251241795/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 3537834798240593/822752278660603021077484591278675252491367932816789931674304512) (.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 4728779608739021/2251799813685248) (.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 579999999999999969282404419499762769060790092417277600039432387437386091848618957295309155360608553533440) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (.f64 (pow.f64 x.re y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 y.re -78000000000000004194304) (.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 2417155231918947/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.re 3946145612486469/5192296858534827628530496329220096) (expm1.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 8746789141574783/1267650600228229401496703205376) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (.f64 (pow.f64 x.re y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.re -55000000000000000000) (.f64 (pow.f64 x.im y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 4250859200960907/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.re 4984604984193435/10384593717069655257060992658440192) (expm1.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 6338253001141147/633825300114114700748351602688) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (.f64 (pow.f64 x.im y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.im -6070840288205403/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im 3100000) (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))
(if (<=.f64 y.im -1881960489343675/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.im 3500000) (.f64 y.re (atan2.f64 x.im x.re)) (cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))))
(*.f64 y.re (atan2.f64 x.im x.re))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re -14999999999999999898314230115424419646925626629160960) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 889460926405673/562949953421312) (.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 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -14999999999999999898314230115424419646925626629160960) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 889460926405673/562949953421312) (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -400000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 9600) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -400000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 9600) (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.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 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -400000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3470978933371479/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -5168389762150143/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im -3075078893078405/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 3600) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.im -400000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3470978933371479/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -5168389762150143/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3075078893078405/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 5109351192408883/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.im 3600) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.im -309999999999999986697288602940203662108088957218628066002480880608071751067858473202234653371527036973791402889742988647152650177912595355850139514780426040198846121650410654318022409378387319749007576593957778095644035568893952) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -450559765389567/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im -1247542356381069/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824) (.f64 1 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im -4151356505655847/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 1788272917343109/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 2900) (.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (.f64 y.re 3)) 1)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 118000000000000003960600150631902002412544762257449760258729460485256143526406531011944906752) (-.f64 (+.f64 1 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 1) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))))
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(if (<=.f64 y.re -55000000000000000000) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (if (<=.f64 y.re 4250859200960907/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.re 4984604984193435/10384593717069655257060992658440192) (expm1.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 6338253001141147/633825300114114700748351602688) (+.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))))
(if (<=.f64 y.im -6070840288205403/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (-.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im 3100000) (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))
(if (<=.f64 y.im -6070840288205403/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (+.f64 (exp.f64 (log1p.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1) (if (<=.f64 y.im 3100000) (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)))
(if (<=.f64 y.im -1881960489343675/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (if (<=.f64 y.im 3500000) (.f64 y.re (atan2.f64 x.im x.re)) (cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))))
(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 1138 to 494 computations (56.6% saved)

soundness311.0ms (0.9%)

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 990 to 544 computations (45.1% saved)

end381.0ms (1.1%)

Compiler: Compiled 1074 to 288 computations (73.2% saved)