Details

analyze527.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample5.7s (13.5%)

Results

2.3s	2496×	body	1024	infinite
2.2s	7908×	body	256	valid
694.0ms	1004×	body	512	infinite
252.0ms	1023×	body	256	infinite
127.0ms	186×	body	1024	valid
69.0ms	149×	body	512	valid
38.0ms	36×	body	2048	infinite
13.0ms	13×	body	2048	valid

Bogosity

preprocess97.0ms (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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) x.re) (.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) x.im) (.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) y.re) (.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

7.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	33.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

11.1b

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

▶

33.1b

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

Compiler

Compiled 70 to 34 computations (51.4% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	30.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series37.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	-inf	(*.f64 (atan2.f64 x.im x.re) y.im)

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

230 → 202

Calls

Call 1

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

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

localize31.0ms (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 (atan2.f64 x.im x.re)) y.im))
✓	0.4b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	30.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series81.0ms (0.2%)

Counts

4 → 80

Calls

39 calls:

Time	Variable		Point	Expression
33.0ms	y.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
14.0ms	y.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
4.0ms	x.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.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) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
2.0ms	x.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log-prod_binary64`
453×	`prod-diff_binary64`
284×	`pow1/3_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	304	49
2	3807	49

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify190.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

498×	`associate-r_binary64`
373×	`fma-def_binary64`
368×	`*-commutative_binary64`
340×	`unswap-sqr_binary64`
336×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	6149
1	1588	5699
2	6186	5447

Stop Event

1×	node limit

Counts

187 → 234

Calls

Call 1

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

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

eval564.0ms (1.3%)

Compiler: Compiled 26606 to 8097 computations (69.6% saved)

prune168.0ms (0.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	471	27	498
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	473	27	500

Error

4.1b

Counts

500 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	11.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	20.6b	(.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	33.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (sqrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	35.1b	(.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))) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2))
	41.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	20.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 3))
	12.3b	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	40.7b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3)))
▶	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	20.7b	(.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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	23.5b	(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	44.2b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	18.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
▶	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))
	15.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	41.4b	(.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))) (cos.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))))
	11.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (.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 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	23.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
	29.0b	(.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	36.2b	(.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))) (+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (sin.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) 2) (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))
▶	20.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))

Compiler

Compiled 2160 to 1086 computations (49.7% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)
✓	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	0.4b	(exp.f64 (atan2.f64 x.im x.re))
✓	30.9b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 132 to 24 computations (81.8% saved)

series40.0ms (0.1%)

Counts

3 → 128

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	inf	(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)
3.0ms	x.im	@	-inf	(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)
3.0ms	x.im	@	inf	(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)
3.0ms	x.im	@	0	(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)
3.0ms	x.re	@	-inf	(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)

rewrite117.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
331×	`pow-prod-down_binary64`
322×	`pow2_binary64`
253×	`prod-diff_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	257	55
2	2894	55

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

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

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

(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 4) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 3/2) (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 5) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (cos.f64 (-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 1) 1))))))

simplify173.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-r_binary64`
608×	`fma-def_binary64`
469×	`*-commutative_binary64`
415×	`associate-l_binary64`
347×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	616	10501
1	2125	9485

Stop Event

1×	node limit

Counts

226 → 281

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series6.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite129.0ms (0.3%)

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)))))))))

simplify203.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

localize88.0ms (0.2%)

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)))
	0.4b	(exp.f64 (atan2.f64 x.im x.re))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 66

Calls

Call 1

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

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

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	30.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 190 to 26 computations (86.3% saved)

series11.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite151.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
403×	`exp-prod_binary64`
325×	`prod-exp_binary64`
300×	`pow-prod-down_binary64`
284×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	213	18
2	2498	18

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

simplify180.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

968×	`associate-/r*_binary64`
906×	`fma-def_binary64`
386×	`associate-/r/_binary64`
338×	`associate-*l/_binary64`
266×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	3396
1	843	3186
2	3234	3021

Stop Event

1×	node limit

Counts

83 → 94

Calls

Call 1

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

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

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	30.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 233 to 30 computations (87.1% saved)

eval1.7s (4%)

Compiler: Compiled 64630 to 21321 computations (67% saved)

prune728.0ms (1.7%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	1086	33	1119
Fresh	17	5	22
Picked	1	0	1
Done	4	0	4
Total	1108	38	1146

Error

4.0b

Counts

1146 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	35.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3))) 2)))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	29.0b	(.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	42.8b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	24.8b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))
	24.1b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
▶	20.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	42.2b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3) 1/3)))
	21.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	22.3b	(.f64 (pow.f64 (+.f64 (log.f64 (.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 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (neg.f64 y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3)))
	27.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.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))) 2)))
	33.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (sqrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 2)))) 2)))
▶	21.1b	(.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))) 1)
	44.2b	(.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))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))
	21.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
▶	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))
	47.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	37.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	34.2b	(.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))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1))))))
	31.9b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.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)) 2)))
	34.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	41.2b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	24.4b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	41.4b	(.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))) (cos.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))))
	37.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.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)) 2)))
	44.2b	(.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))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	44.2b	(.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))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
	12.3b	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	40.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	15.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

Compiler

Compiled 2636 to 1502 computations (43% saved)

localize126.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
	0.4b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.7b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
✓	31.5b	(cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

Compiler

Compiled 179 to 50 computations (72.1% saved)

series71.0ms (0.2%)

Counts

3 → 116

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	x.re	@	-inf	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
6.0ms	y.im	@	0	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
4.0ms	x.re	@	inf	(cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
3.0ms	x.im	@	inf	(cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
2.0ms	x.re	@	0	(cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

rewrite268.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`log-prod_binary64`
533×	`prod-diff_binary64`
298×	`expm1-udef_binary64`
298×	`log1p-udef_binary64`
254×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	331	58
2	4037	58

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

(cos.f64 (*.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))

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

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

Outputs

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

simplify266.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

576×	`cancel-sign-sub-inv_binary64`
559×	`fma-def_binary64`
431×	`associate-r_binary64`
367×	`fma-neg_binary64`
335×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	8446
1	1646	7745
2	6153	7494

Stop Event

1×	node limit

Counts

264 → 317

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.2b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	2.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series64.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
26.0ms	x.im	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
25.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
2.0ms	y.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	18.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 151 to 28 computations (81.5% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
	0.4b	(exp.f64 (atan2.f64 x.im x.re))
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	16.7b	(cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))

Compiler

Compiled 112 to 23 computations (79.5% saved)

series111.0ms (0.3%)

Counts

2 → 64

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	x.im	@	inf	(sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
23.0ms	x.im	@	0	(cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
6.0ms	y.im	@	inf	(cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
6.0ms	x.re	@	0	(cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
5.0ms	x.re	@	inf	(cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
334×	`pow-prod-down_binary64`
322×	`pow2_binary64`
309×	`prod-diff_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	279	36
2	2929	36

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify141.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

556×	`associate-r_binary64`
508×	`*-commutative_binary64`
453×	`fma-def_binary64`
403×	`associate-l_binary64`
289×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	605	9369
1	1998	7835

Stop Event

1×	node limit

Counts

126 → 188

Calls

Call 1

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

Outputs
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) y.im)))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))) (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) y.im)) (pow.f64 x.im 2)))))
(+.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.im (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(fma.f64 -1/2 (/.f64 (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))) (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) y.im))))
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(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 (.f64 1/4 (.f64 (.f64 (pow.f64 x.re 2) y.im) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) 2)) (pow.f64 x.im 4)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/720 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im)) (.f64 1/4 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (-.f64 (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.im)) (pow.f64 (.f64 1/4 (.f64 (.f64 (pow.f64 x.re 2) y.im) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) 2)) y.im)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 6)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.re 4))) (pow.f64 (.f64 1/4 (.f64 (.f64 y.im (.f64 x.re x.re)) (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2)) (pow.f64 x.im 4))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (+.f64 (.f64 1/720 (.f64 y.im (.f64 (pow.f64 x.re 6) 120))) (.f64 -1/4 (/.f64 (.f64 (.f64 x.re x.re) (.f64 y.im (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.re 4))) (pow.f64 (.f64 1/4 (.f64 (.f64 y.im (.f64 x.re x.re)) (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2)))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 6))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im))) (sqrt.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (fma.f64 (/.f64 (.f64 1/4 (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im)) (sqrt.f64 (/.f64 1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) (sqrt.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) (.f64 (sqrt.f64 (/.f64 1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) (+.f64 (/.f64 (.f64 1/2 (-.f64 (.f64 y.im (.f64 -1/4 (pow.f64 x.re 4))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) (.f64 1/4 (.f64 y.im (.f64 x.re x.re)))) 2))) (pow.f64 x.im 4)) (.f64 1/2 (/.f64 (fma.f64 1/720 (.f64 y.im (.f64 (pow.f64 x.re 6) 120)) (/.f64 (.f64 -1/4 (.f64 x.re x.re)) (/.f64 (/.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))) y.im) (-.f64 (.f64 y.im (.f64 -1/4 (pow.f64 x.re 4))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) (.f64 1/4 (.f64 y.im (*.f64 x.re x.re)))) 2))))) (pow.f64 x.im 6))))))
(sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 1/2 (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (sqrt.f64 (/.f64 1 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(fma.f64 1/2 (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (sqrt.f64 (/.f64 (/.f64 1 y.re) (atan2.f64 x.im x.re))))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (sqrt.f64 (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 -1/8 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 2)))))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (sqrt.f64 (/.f64 (/.f64 1 y.re) (atan2.f64 x.im x.re))))) (.f64 (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 y.re 3)) (pow.f64 (atan2.f64 x.im x.re) 3)))) (*.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))) (.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 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))))))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/16 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))) (pow.f64 y.im 3)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 3)) (fma.f64 1/2 (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (sqrt.f64 (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 -1/8 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2))))))
(+.f64 (sqrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/16 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 y.re 5)) (pow.f64 (atan2.f64 x.im x.re) 5))))) (fma.f64 1/2 (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (sqrt.f64 (/.f64 (/.f64 1 y.re) (atan2.f64 x.im x.re))))) (.f64 (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 y.re 3)) (pow.f64 (atan2.f64 x.im x.re) 3)))) (*.f64 y.im y.im)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))))
(sqrt.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(sqrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (sqrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 1/2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sqrt.f64 (/.f64 1 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(+.f64 (sqrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 1/2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sqrt.f64 (/.f64 (/.f64 1 y.im) (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(fma.f64 1/2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sqrt.f64 (/.f64 (/.f64 1 y.im) (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (sqrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)) (sqrt.f64 (/.f64 1 (.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 1/2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sqrt.f64 (/.f64 1 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(+.f64 (sqrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 y.im 3)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 3))))) (.f64 1/2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sqrt.f64 (/.f64 (/.f64 1 y.im) (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))))
(+.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (fma.f64 -1/8 (.f64 y.re (.f64 y.re (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 y.im) (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 1/2 y.re) (atan2.f64 x.im x.re)))))
(+.f64 (sqrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (sqrt.f64 (/.f64 1 (.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 -1/8 (.f64 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)) (sqrt.f64 (/.f64 1 (.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 1/2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sqrt.f64 (/.f64 1 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))))
(+.f64 (sqrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (fma.f64 1/16 (.f64 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 5))))) (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 y.im 3)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 3))))) (.f64 1/2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sqrt.f64 (/.f64 (/.f64 1 y.im) (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))))
(+.f64 (fma.f64 1/16 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 (pow.f64 y.re 3) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 y.im 5)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5))))) (.f64 (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))) -1/8))) (fma.f64 1/2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sqrt.f64 (/.f64 (/.f64 1 y.im) (log.f64 (hypot.f64 x.im x.re)))))) (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
	0.4b	(exp.f64 (atan2.f64 x.im x.re))
✓	3.0b	(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3))
✓	17.3b	(cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3)))

Compiler

Compiled 220 to 62 computations (71.8% saved)

series20.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	x.im	@	inf	(cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3)))
1.0ms	x.re	@	inf	(cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3)))
1.0ms	x.im	@	-inf	(cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3)))
1.0ms	x.re	@	-inf	(cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3)))
1.0ms	y.re	@	0	(cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3)))

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`log-prod_binary64`
376×	`pow2_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
262×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	331	34
2	3810	34

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs

(cos.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1/3)))

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

Outputs

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

simplify118.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-/r/_binary64`
435×	`associate-*l/_binary64`
357×	`associate-*r/_binary64`
316×	`fma-def_binary64`
290×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	4876
1	1061	4490
2	3983	4303

Stop Event

1×	node limit

Counts

223 → 232

Calls

Call 1

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

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

eval1.5s (3.6%)

Compiler: Compiled 70162 to 27653 computations (60.6% saved)

prune542.0ms (1.3%)

Pruning

57 alts after pruning (57 fresh and 0 done)

	Pruned	Kept	Total
New	1339	43	1382
Fresh	19	14	33
Picked	1	0	1
Done	4	0	4
Total	1363	57	1420

Error

3.9b

Counts

1420 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	24.4b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	27.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (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))))))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))
	51.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/3))) 2)))
	52.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	56.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (/.f64 (.f64 1/2 (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im))) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 1/3))) 2)))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))
	37.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	51.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 2)))
	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	35.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)) 2)))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))))
	24.1b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	11.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 y.re)))))))
	42.7b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/4) 2) 2)))
	21.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2) (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	22.3b	(.f64 (pow.f64 (+.f64 (log.f64 (.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 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (neg.f64 y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	42.6b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6) 3) 2)))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.1b	(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	51.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))) 2)))
▶	23.7b	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
	27.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3))) 2)))
	11.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))))))
	11.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (.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 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))
▶	33.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (sqrt.f64 (pow.f64 (.f64 y.im (atan2.f64 x.im x.re)) 2)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (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)))))))
	45.1b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3/2) 1/3) 2)))
	51.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) 2)))
▶	44.2b	(.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))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
	35.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))) 2)))
▶	41.7b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	32.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1/3))) 2)))
	24.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (.f64 (.f64 3 (log.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)))) 1/3))) 2)))
	26.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	21.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	51.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) 2)))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	34.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	47.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	42.8b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
	15.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	31.9b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	37.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	51.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 2)))
	41.2b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	41.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))))
	45.2b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3/2)) 2)))
	41.4b	(.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))) (cos.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))))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))))
	44.2b	(.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))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))

Compiler

Compiled 3936 to 2378 computations (39.6% saved)

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 y.im) 2)
✓	0.7b	(cbrt.f64 y.im)
	0.9b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	30.7b	(cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 179 to 53 computations (70.4% saved)

series33.0ms (0.1%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y.im	@	-inf	(cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))
3.0ms	x.re	@	inf	(cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))
3.0ms	x.im	@	inf	(cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))
3.0ms	x.im	@	0	(cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))
3.0ms	x.re	@	-inf	(cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`log-prod_binary64`
417×	`pow-prod-down_binary64`
363×	`pow2_binary64`
283×	`prod-diff_binary64`
257×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	295	29
2	3342	27

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cbrt.f64 y.im)
(pow.f64 (cbrt.f64 y.im) 2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y.im)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) 2) (cbrt.f64 (cbrt.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y.im)) (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y.im 1/6) (pow.f64 y.im 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y.im 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y.im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.im y.im) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y.im 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y.im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y.im) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y.im 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y.im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y.im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 y.im) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y.im)) 1))))))

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

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

910×	`fma-def_binary64`
540×	`associate-*l/_binary64`
471×	`associate-*r/_binary64`
384×	`associate-+l+_binary64`
305×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	3356
1	925	2938
2	3464	2803

Stop Event

1×	node limit

Counts

116 → 131

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
✓	2.4b	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
591×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	158	16
2	1948	16

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

747×	`unswap-sqr_binary64`
671×	`fma-def_binary64`
487×	`cancel-sign-sub-inv_binary64`
460×	`distribute-rgt-neg-in_binary64`
398×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	762
1	83	757
2	226	755
3	870	748
4	2888	748
5	6946	748

Stop Event

1×	node limit

Counts

115 → 56

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)
✓	0.3b	(sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
	0.4b	(exp.f64 (atan2.f64 x.im x.re))
✓	12.3b	(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))

Compiler

Compiled 81 to 22 computations (72.8% saved)

series56.0ms (0.1%)

Counts

3 → 73

Calls

27 calls:

Time	Variable		Point	Expression
13.0ms	x.im	@	-inf	(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
7.0ms	x.im	@	inf	(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
4.0ms	x.re	@	inf	(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
4.0ms	y.im	@	-inf	(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
3.0ms	x.im	@	0	(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))

rewrite61.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
791×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	221	31
2	2233	31

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
(sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)

Outputs

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

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

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

simplify149.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

496×	`cancel-sign-sub-inv_binary64`
432×	`fma-def_binary64`
356×	`*-commutative_binary64`
347×	`associate-r_binary64`
341×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	6533
1	1578	5905
2	6352	5583

Stop Event

1×	node limit

Counts

141 → 201

Calls

Call 1

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

Outputs
1
(cos.f64 (*.f64 (log.f64 x.re) y.im))
(+.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 -1/2 (/.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im))))))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 x.re x.re)) (.f64 y.im (.f64 x.im x.im))) (cos.f64 (.f64 (log.f64 x.re) y.im)))
(+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (-.f64 (+.f64 (.f64 -1/4 (/.f64 y.im (pow.f64 x.re 4))) (.f64 1/16 (/.f64 y.im (.f64 (pow.f64 x.re 4) (log.f64 x.re))))) (pow.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 x.re 2)) (sqrt.f64 (/.f64 y.im (log.f64 x.re))))) 2)))) (pow.f64 x.im 4)) (+.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2)))))
(fma.f64 (-.f64 (.f64 -1/8 (/.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (/.f64 (pow.f64 x.re 4) (.f64 y.im y.im)))) (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (-.f64 (fma.f64 -1/4 (/.f64 y.im (pow.f64 x.re 4)) (/.f64 (.f64 1/16 y.im) (.f64 (log.f64 x.re) (pow.f64 x.re 4)))) (pow.f64 (.f64 (.f64 1/4 (/.f64 1 (.f64 x.re x.re))) (sqrt.f64 (/.f64 y.im (log.f64 x.re)))) 2)))) (pow.f64 x.im 4) (+.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 -1/2 (/.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))))))
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(fma.f64 (neg.f64 (log.f64 (/.f64 -1 x.re))) y.im (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y.im) (log.f64 (/.f64 -1 x.re)))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (/.f64 (.f64 y.im 1/2) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 (neg.f64 (log.f64 (/.f64 -1 x.re))) y.im (/.f64 (.f64 y.im 1/2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6))))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) y.im))))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re)) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (/.f64 1/720 (/.f64 (pow.f64 x.re 6) (.f64 (pow.f64 x.im 6) (*.f64 120 y.im)))))))
(fma.f64 -1/4 (/.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re)) (fma.f64 (neg.f64 (log.f64 (/.f64 -1 x.re))) y.im (/.f64 1/720 (/.f64 (pow.f64 x.re 6) (.f64 (pow.f64 x.im 6) (.f64 120 y.im)))))))

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(*.f64 y.im (atan2.f64 x.im x.re))
✓	26.6b	(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	30.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 205 to 37 computations (82% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y.im	@	0	(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
0.0ms	y.im	@	inf	(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
0.0ms	x.im	@	inf	(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
0.0ms	y.im	@	-inf	(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
0.0ms	x.re	@	inf	(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	183	14
2	1847	14

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 2))
(*.f64 y.im (atan2.f64 x.im x.re))

Outputs

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

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

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	344
1	13	344
2	26	344
3	30	344
4	34	344
5	52	344
6	74	344
7	85	344
8	97	344
9	122	344

Stop Event

1×

saturated

Counts

96 → 36

Calls

Call 1

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

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

localize162.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	14.5b	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
	29.2b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	30.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 294 to 80 computations (72.8% saved)

series243.0ms (0.6%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
145.0ms	x.re	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
44.0ms	x.im	@	inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
22.0ms	x.im	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
22.0ms	x.im	@	-inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
2.0ms	y.im	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

rewrite107.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`log-prod_binary64`
429×	`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	3697	18

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

657×	`distribute-rgt-in_binary64`
648×	`distribute-lft-in_binary64`
476×	`associate-l_binary64`
436×	`associate-r_binary64`
281×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1191
1	201	1188
2	596	1141
3	2974	1133

Stop Event

1×	node limit

Counts

103 → 73

Calls

Call 1

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

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

eval1.8s (4.3%)

Compiler: Compiled 53820 to 21664 computations (59.7% saved)

prune350.0ms (0.8%)

Pruning

63 alts after pruning (61 fresh and 2 done)

	Pruned	Kept	Total
New	939	32	971
Fresh	23	29	52
Picked	1	0	1
Done	2	2	4
Total	965	63	1028

Error

3.9b

Counts

1028 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	27.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (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))))))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))
	51.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 1/3))) 2)))
	42.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.re))))))
	56.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (/.f64 (.f64 1/2 (.f64 y.im (.f64 x.re x.re))) (.f64 x.im x.im))) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 1/3))) 2)))
	35.1b	(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 1)
	37.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	51.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 2)))
	38.0b	(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	11.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 y.re)))))))
	53.8b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.re) y.im)) 2)))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))))
	24.1b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	48.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (sqrt.f64 y.im)) 2)))
	47.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))))
	22.3b	(.f64 (pow.f64 (+.f64 (log.f64 (.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 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) (neg.f64 y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	42.6b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6) 3) 2)))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	51.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 3))) 2)))
✓	23.7b	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) 3) 2)) (cbrt.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	11.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (.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 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))
	37.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 y.im 2)) 1/3) (log.f64 (hypot.f64 x.im x.re))) (pow.f64 y.im 1/3) (.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	27.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 3))) 2)))
	11.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))))))
	44.2b	(.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))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 2) (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	41.9b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)))
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (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)))))))
	35.0b	(.f64 (+.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
	43.6b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3/2)) 2)))
	31.7b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	32.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1/3))) 2)))
	24.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (exp.f64 (.f64 (.f64 3 (log.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)))) 1/3))) 2)))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (-.f64 (+.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1))
	51.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) 2)))
	23.8b	(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
	34.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))))))
	51.4b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2)))
	35.1b	(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 3) 1)
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (log1p.f64 (expm1.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	17.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (pow.f64 (.f64 y.im y.im) 1/6) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	43.5b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3/2) 1/3) 2)))
	15.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	42.8b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)))
	24.1b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (expm1.f64 (log1p.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	17.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (pow.f64 (.f64 y.im y.im) 1/6) (.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	51.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 1/3)) (sqrt.f64 (.f64 3 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 2)))
	40.7b	(.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) (neg.f64 y.im)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	41.2b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 (log.f64 x.im) y.im)))
	37.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
✓	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))
	46.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 (log.f64 x.re) y.im)))
	24.1b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 (pow.f64 (cbrt.f64 y.im) 2) (*.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))))))
	24.0b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	35.1b	(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
	11.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))))
	38.0b	(*.f64 1 1)
	41.6b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 1/4) 2) 2)))

Compiler

Compiled 1858 to 1187 computations (36.1% saved)

regimes3.1s (7.3%)

Counts

137 → 4

Calls

Call 1

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

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

Calls

6 calls:

1.1s	x.re
671.0ms	y.im
588.0ms	y.re
418.0ms	x.im
68.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.4b	6	`x.re`
6.9b	3	`x.im`
5.8b	3	`y.re`
5.3b	4	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 4093 to 982 computations (76% saved)

bsearch778.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
251.0ms	7619837.150206717	3917811268.1825294
270.0ms	-9.736350821057227e+92	-4.090443501079608e+84
253.0ms	-7.476755190674261e+229	-1.084110264592232e+223

Compiler

Compiled 1538 to 1025 computations (33.4% saved)

regimes1.7s (3.9%)

Counts

105 → 4

Calls

Call 1

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

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

Calls

6 calls:

515.0ms	y.im
484.0ms	x.re
266.0ms	x.im
212.0ms	y.re
24.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.4b	6	`x.re`
6.9b	3	`x.im`
5.8b	3	`y.re`
5.3b	4	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2565 to 679 computations (73.5% saved)

bsearch636.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
163.0ms	7619837.150206717	3917811268.1825294
152.0ms	-9.736350821057227e+92	-4.090443501079608e+84
320.0ms	-7.476755190674261e+229	-1.084110264592232e+223

Compiler

Compiled 1538 to 1025 computations (33.4% saved)

regimes2.0s (4.7%)

Counts

104 → 5

Calls

Call 1

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

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

Calls

6 calls:

850.0ms	y.im
492.0ms	x.re
244.0ms	y.re
201.0ms	x.im
47.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.4b	6	`x.re`
6.9b	3	`x.im`
5.8b	3	`y.re`
5.3b	5	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2528 to 667 computations (73.6% saved)

bsearch703.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
120.0ms	7619837.150206717	3917811268.1825294
163.0ms	-8.72682665107856e+63	-4.526813839966771e+56
145.0ms	-9.736350821057227e+92	-4.090443501079608e+84
272.0ms	-7.476755190674261e+229	-1.084110264592232e+223

Compiler

Compiled 2189 to 1440 computations (34.2% saved)

regimes1.3s (3.2%)

Counts

103 → 5

Calls

Call 1

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

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

Calls

6 calls:

518.0ms	x.re
333.0ms	y.im
204.0ms	y.re
184.0ms	x.im
29.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.4b	6	`x.re`
7.0b	3	`x.im`
5.8b	3	`y.re`
5.3b	5	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2494 to 658 computations (73.6% saved)

bsearch831.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
125.0ms	7619837.150206717	3917811268.1825294
123.0ms	-8.72682665107856e+63	-4.526813839966771e+56
281.0ms	-6.385884316414549e+75	-8.72682665107856e+63
299.0ms	-7.476755190674261e+229	-1.084110264592232e+223

Compiler

Compiled 1911 to 1329 computations (30.5% saved)

regimes950.0ms (2.2%)

Counts

92 → 5

Calls

Call 1

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

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

Calls

6 calls:

343.0ms	y.im
247.0ms	x.re
128.0ms	x.im
127.0ms	y.re
19.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.4b	6	`x.re`
7.0b	3	`x.im`
5.8b	3	`y.re`
5.3b	5	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2105 to 534 computations (74.6% saved)

bsearch501.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
109.0ms	7619837.150206717	3917811268.1825294
119.0ms	-8.72682665107856e+63	-4.526813839966771e+56
132.0ms	-6.385884316414549e+75	-8.72682665107856e+63
141.0ms	-7.476755190674261e+229	-1.084110264592232e+223

Compiler

Compiled 1877 to 1295 computations (31% saved)

regimes613.0ms (1.4%)

Counts

82 → 5

Calls

Call 1

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

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

Calls

6 calls:

176.0ms	y.im
141.0ms	x.re
118.0ms	y.re
109.0ms	x.im
17.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
8.4b	4	`x.re`
7.0b	3	`x.im`
5.9b	3	`y.re`
5.3b	5	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1805 to 484 computations (73.2% saved)

bsearch616.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
223.0ms	7619837.150206717	3917811268.1825294
121.0ms	-8.72682665107856e+63	-4.526813839966771e+56
133.0ms	-6.385884316414549e+75	-8.72682665107856e+63
138.0ms	-7.476755190674261e+229	-1.084110264592232e+223

Compiler

Compiled 1758 to 1159 computations (34.1% saved)

regimes799.0ms (1.9%)

Counts

73 → 5

Calls

Call 1

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

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

Calls

6 calls:

292.0ms	x.re
211.0ms	y.im
128.0ms	y.re
104.0ms	x.im
16.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.7b	6	`x.re`
7.1b	3	`x.im`
6.0b	3	`y.re`
5.4b	5	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1550 to 426 computations (72.5% saved)

bsearch372.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
109.0ms	7619837.150206717	3917811268.1825294
48.0ms	1.8525839484859087e-27	3.678137558042953e-10
52.0ms	-0.00040227882250791697	-4.037076296987876e-10
162.0ms	-2.312452690137754e+219	-4.316485203259512e+208

Compiler

Compiled 912 to 637 computations (30.2% saved)

regimes863.0ms (2%)

Counts

58 → 5

Calls

Call 1

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

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

Calls

6 calls:

349.0ms	x.re
241.0ms	y.im
137.0ms	x.im
82.0ms	y.re
16.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.7b	6	`x.re`
7.1b	3	`x.im`
6.0b	3	`y.re`
5.7b	5	`y.im`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
7.0b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1174 to 337 computations (71.3% saved)

bsearch606.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
108.0ms	7619837.150206717	3917811268.1825294
65.0ms	1.8525839484859087e-27	3.678137558042953e-10
283.0ms	-9.736350821057227e+92	-4.090443501079608e+84
148.0ms	-7.476755190674261e+229	-1.084110264592232e+223

Compiler

Compiled 1287 to 891 computations (30.8% saved)

regimes974.0ms (2.3%)

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

315.0ms	y.im
300.0ms	x.re
167.0ms	y.re
167.0ms	x.im

Results

Error	Segments	Branch
9.1b	3	`x.re`
7.1b	3	`x.im`
6.0b	3	`y.re`
6.2b	4	`y.im`

Compiler

Compiled 836 to 227 computations (72.8% saved)

bsearch272.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
155.0ms	1.0975686458326274e-17	6.619283627830384e-16
115.0ms	-7.195175365582101e-13	-1.8389892101589262e-13

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes835.0ms (2%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

231.0ms	y.im
196.0ms	x.im
185.0ms	y.re
152.0ms	x.re

Results

Error	Segments	Branch
9.1b	3	`x.re`
7.1b	3	`x.im`
6.2b	3	`y.re`
6.2b	4	`y.im`

Compiler

Compiled 584 to 183 computations (68.7% saved)

bsearch284.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	1.0975686458326274e-17	6.619283627830384e-16
134.0ms	-7.195175365582101e-13	-1.8389892101589262e-13

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes813.0ms (1.9%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

283.0ms	y.im
281.0ms	x.re
119.0ms	x.im
104.0ms	y.re

Results

Error	Segments	Branch
8.7b	6	`x.re`
9.3b	4	`x.im`
6.2b	3	`y.re`
15.0b	6	`y.im`

Compiler

Compiled 486 to 158 computations (67.5% saved)

bsearch311.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
159.0ms	1.0975686458326274e-17	6.619283627830384e-16
151.0ms	-7.195175365582101e-13	-1.8389892101589262e-13

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes846.0ms (2%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

541.0ms	y.im
108.0ms	y.re
101.0ms	x.re
81.0ms	x.im

Results

Error	Segments	Branch
8.9b	6	`x.re`
9.3b	4	`x.im`
6.6b	3	`y.re`
14.3b	9	`y.im`

Compiler

Compiled 461 to 157 computations (65.9% saved)

bsearch131.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	1.0975686458326274e-17	6.619283627830384e-16
63.0ms	-7.195175365582101e-13	-1.8389892101589262e-13

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes222.0ms (0.5%)

Counts

11 → 4

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (+.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)

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

Calls

4 calls:

110.0ms	x.im
75.0ms	y.re
25.0ms	x.re
7.0ms	y.im

Results

Error	Segments	Branch
10.5b	4	`x.re`
11.0b	2	`x.im`
18.4b	3	`y.re`
23.7b	1	`y.im`

Compiler

Compiled 149 to 86 computations (42.3% saved)

bsearch100.0ms (0.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
33.0ms	-5.279019829066386e-299	6.408737029002763e-305
33.0ms	-3.312759999753831e-72	-1.067983971884285e-76
33.0ms	-8.959739154602693e-33	-1.5193143850005143e-33

Compiler

Compiled 159 to 106 computations (33.3% saved)

regimes72.0ms (0.2%)

Counts

8 → 4

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (+.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

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

Calls

4 calls:

31.0ms	y.re
20.0ms	x.re
11.0ms	x.im
6.0ms	y.im

Results

Error	Segments	Branch
15.0b	4	`x.re`
17.9b	2	`x.im`
19.3b	5	`y.re`
23.7b	1	`y.im`

Compiler

Compiled 98 to 61 computations (37.8% saved)

bsearch938.0ms (2.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
481.0ms	-5.279019829066386e-299	6.408737029002763e-305
246.0ms	-9.97180153974848e-215	-1.4705176232288433e-216
210.0ms	-8.959739154602693e-33	-1.5193143850005143e-33

Compiler

Compiled 784 to 577 computations (26.4% saved)

regimes55.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (+.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

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

Calls

4 calls:

19.0ms	y.re
15.0ms	x.re
9.0ms	x.im
9.0ms	y.im

Results

Error	Segments	Branch
22.4b	3	`x.re`
17.9b	2	`x.im`
20.5b	3	`y.re`
23.7b	1	`y.im`

Compiler

Compiled 85 to 55 computations (35.3% saved)

bsearch346.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
346.0ms	1.2216043907916424e-278	1.252163830367689e-276

Compiler

Compiled 272 to 193 computations (29% saved)

regimes55.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(.f64 (+.f64 1 (expm1.f64 (.f64 y.im (atan2.f64 x.im x.re)))) 1)
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 1)
(*.f64 (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)) 1)

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

Calls

4 calls:

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

Results

Error	Segments	Branch
23.7b	1	`x.re`
23.7b	1	`x.im`
23.7b	1	`y.re`
23.7b	1	`y.im`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes45.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.4%)

Threshold costs -0.2b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 1 1)

Calls

4 calls:

8.0ms	y.im
7.0ms	y.re
7.0ms	x.re
7.0ms	x.im

Results

Error	Segments	Branch
38.0b	1	`x.re`
38.0b	1	`x.im`
38.0b	1	`y.re`
38.0b	1	`y.im`

Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify131.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

39×	`*-commutative_binary64`
14×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`cancel-sign-sub-inv_binary64`
5×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	1902
1	267	1902
2	286	1902
3	291	1902
4	292	1902

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (pow.f64 (.f64 y.im y.im) 1/6) (.f64 y.re (atan2.f64 x.im x.re)))) 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))) 1))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (pow.f64 (.f64 y.im y.im) 1/6) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 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))) 1))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -780000000000000042588707862310427877083086351936430199013376) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -8000000000000000462863679541815758619147029513400323505381179392) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -8000000000000000462863679541815758619147029513400323505381179392) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -4000000000000000231431839770907879309573514756700161752690589696) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -2300000000000000092134786971748248441027900929777729916175959017228598164134045917524029572768207783810905069509880478541741746196235179861973553948783506788099849218829415027553201092104413147990076224621535129931612160) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -3710367242538387/9223372036854775808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (if (<=.f64 y.im 1291062581064751/696898287454081973172991196020261297061888) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 y.re))))))) (if (<=.f64 y.im 7700000) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 1291062581064751/696898287454081973172991196020261297061888) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 y.re))))))) (if (<=.f64 y.im 7700000) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.re -7307508186654515/1461501637330902918203684832716283019655932542976) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 0) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 x.re -4530655075725799/2923003274661805836407369665432566039311865085952) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 x.re -4657554276902127/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 6325070415853457/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 x.im 6237000967295999/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(*.f64 1 1)

Outputs
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (pow.f64 (.f64 y.im y.im) 1/6) (.f64 y.re (atan2.f64 x.im x.re)))) 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))) 1))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (pow.f64 (.f64 y.im y.im) 1/6) (.f64 (atan2.f64 x.im x.re) y.re))) 2))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (pow.f64 (.f64 y.im y.im) 1/6) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 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))) 1))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (pow.f64 (.f64 y.im y.im) 1/6) 2)) (cbrt.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -780000000000000042588707862310427877083086351936430199013376) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -4200000000000000372027505574409837164638194351497696609270069053780539712168412577792) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -780000000000000042588707862310427877083086351936430199013376) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (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 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -8000000000000000462863679541815758619147029513400323505381179392) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -8000000000000000462863679541815758619147029513400323505381179392) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (.f64 2 (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 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -8000000000000000462863679541815758619147029513400323505381179392) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -8000000000000000462863679541815758619147029513400323505381179392) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (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 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im -4000000000000000231431839770907879309573514756700161752690589696) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x.im) y.im)) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -74000000000000000473351551246894548364842087899101113303640826980943923630747911009243634869475034591559405725721295844321657212897083849485835597333150676457160971881002730302919214624068993730844952139992363551924385436647030784) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -8799999999999999486098901364365291738482349563342242096766517248) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -4000000000000000231431839770907879309573514756700161752690589696) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (pow.f64 (sqrt.f64 (.f64 y.im (log.f64 x.im))) 2))) (if (<=.f64 y.im 7700000) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.im -2300000000000000092134786971748248441027900929777729916175959017228598164134045917524029572768207783810905069509880478541741746196235179861973553948783506788099849218829415027553201092104413147990076224621535129931612160) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 y.im -3710367242538387/9223372036854775808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (if (<=.f64 y.im 1291062581064751/696898287454081973172991196020261297061888) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 y.re))))))) (if (<=.f64 y.im 7700000) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))))
(if (<=.f64 y.im -2300000000000000092134786971748248441027900929777729916175959017228598164134045917524029572768207783810905069509880478541741746196235179861973553948783506788099849218829415027553201092104413147990076224621535129931612160) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3710367242538387/9223372036854775808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (if (<=.f64 y.im 1291062581064751/696898287454081973172991196020261297061888) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 2))))))) (if (<=.f64 y.im 7700000) (.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))))
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(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (+.f64 1 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) -1)) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1)) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 (+.f64 1 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) -1)) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7125756539787125/9903520314283042199192993792) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 7123627789728845/649037107316853453566312041152512) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 x.re -7307508186654515/1461501637330902918203684832716283019655932542976) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 0) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 x.re -7307508186654515/1461501637330902918203684832716283019655932542976) (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 0) (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.re -4530655075725799/2923003274661805836407369665432566039311865085952) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (if (<=.f64 x.re -4657554276902127/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 6325070415853457/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 x.re -4530655075725799/2923003274661805836407369665432566039311865085952) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 x.re -4657554276902127/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 6325070415853457/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im 6237000967295999/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 6237000967295999/4989600773836799529140931782592096415168628151088643853756368106093029729672410164462394913731589252723356117110481238109931094970983984151847929495712078550800014182377714191293844303610907467956633391861359809983327026137802175972222138171120110393767802267189390104105896238075860024819712) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) 1)
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 1 1)
1

Compiler

Compiled 1295 to 624 computations (51.8% saved)

soundness204.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
786×	`fma-def_binary64`
746×	`associate-/l/_binary64`
536×	`cancel-sign-sub-inv_binary64`
457×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	2599
1	523	2310
2	1439	2208
3	5602	2170
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 322 to 173 computations (46.3% saved)

end288.0ms (0.7%)

Compiler: Compiled 1231 to 307 computations (75.1% saved)

Iter	Nodes	Cost
0	9	344
1	13	344
2	26	344
3	30	344
4	34	344
5	52	344
6	74	344
7	85	344
8	97	344
9	122	344

Iter	Nodes	Cost
0	9	344
1	13	344
2	26	344
3	30	344
4	34	344
5	52	344
6	74	344
7	85	344
8	97	344
9	122	344

Iter	Nodes	Cost
0	9	344
1	13	344
2	26	344
3	30	344
4	34	344
5	52	344
6	74	344
7	85	344
8	97	344
9	122	344