Details

analyze603.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample7.8s (16.4%)

Results

3.0s	7939×	body	256	valid
2.9s	2691×	body	1024	invalid
737.0ms	912×	body	512	invalid
345.0ms	850×	body	256	invalid
340.0ms	141×	body	512	valid
295.0ms	167×	body	2048	invalid
138.0ms	164×	body	1024	valid
16.0ms	12×	body	2048	valid

preprocess70.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	280
1	223	266
2	443	266
3	736	266
4	1769	266
5	7248	266
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify192.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

5.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

Status

Error

Program

▶

32.9b

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

▶

10.0b

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

Compiler

Compiled 70 to 34 computations (51.4% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	33.4b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series59.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	y.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite278.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify225.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

226 → 198

Calls

Call 1

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

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

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.9b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	33.4b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series217.0ms (0.5%)

Counts

4 → 68

Calls

36 calls:

Time	Variable		Point	Expression
104.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
36.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
21.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
17.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
14.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite98.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

174 → 172

Calls

Call 1

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

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

eval234.0ms (0.5%)

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

prune159.0ms (0.3%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	399	33	432
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	401	33	434

Error

3.7b

Counts

434 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	22.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	25.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	22.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
	10.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	16.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	42.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 3)))))
	16.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	10.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (fma.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	19.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (.f64 (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im) (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	10.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	47.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
	51.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	19.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 2))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	44.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	31.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	44.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	41.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 2))
	25.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
▶	24.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	11.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	37.1b	(.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 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))
	46.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	10.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	20.1b	(.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 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 -1/6 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
	48.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.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))))
▶	8.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	22.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3)))
▶	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2))))
▶	20.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	43.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	42.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 2488 to 1336 computations (46.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	33.4b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 99 to 15 computations (84.8% saved)

series12.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y.im	@	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
2.0ms	x.re	@	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
2.0ms	y.re	@	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	y.im	@	inf	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite55.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify81.0ms (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)))))))
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(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 -1/4 (.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (.f64 (.f64 1/2 x.re) x.re) (*.f64 x.im x.im))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(fma.f64 1/6 (/.f64 (pow.f64 x.re 6) (/.f64 (pow.f64 x.im 6) y.im)) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))))
(fma.f64 1/6 (/.f64 y.im (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))))
(fma.f64 1/6 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6)) (fma.f64 y.im (log.f64 x.im) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re y.im) x.im)) (/.f64 (.f64 y.im -1/4) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/6 (.f64 y.im (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (fma.f64 -1/4 (.f64 y.im (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (.f64 (.f64 1/2 x.re) x.re) (.f64 x.im x.im)))))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2)))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)))))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re y.im) x.im)) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (-.f64 (.f64 1/2 (/.f64 x.re (*.f64 x.im (/.f64 x.im x.re)))) (log.f64 (/.f64 -1 x.im)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im))))))
(-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im))))) (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re y.im) x.im)) (/.f64 (.f64 y.im -1/4) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))) (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(+.f64 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) (.f64 y.im -1/4))) (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (-.f64 (.f64 1/2 (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (log.f64 (/.f64 -1 x.im))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))))
(fma.f64 1/720 (/.f64 y.im (/.f64 (pow.f64 x.im 6) (.f64 (pow.f64 x.re 6) 120))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.im)) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))))
(fma.f64 1/720 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (.f64 (pow.f64 x.re 6) 120)) (-.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im))))) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) (/.f64 (.f64 x.re y.im) x.im)) (/.f64 (.f64 y.im -1/4) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))) (-.f64 (fma.f64 1/6 (.f64 (/.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6)) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(+.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (+.f64 (/.f64 (.f64 (.f64 1/2 x.re) x.re) (.f64 x.im x.im)) (/.f64 (.f64 -1/4 (pow.f64 x.re 4)) (pow.f64 x.im 4))))) (.f64 y.im (-.f64 (/.f64 (*.f64 1/6 (pow.f64 x.re 6)) (pow.f64 x.im 6)) (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.7b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series9.0ms (0%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x.im	@	0	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	y.re	@	0	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.im	@	inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.im	@	-inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite50.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify125.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.9b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	22.8b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 81 to 15 computations (81.5% saved)

series43.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	y.im	@	0	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
3.0ms	x.re	@	inf	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
2.0ms	x.im	@	inf	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
1.0ms	x.re	@	0	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
1.0ms	x.im	@	0	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
648×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	154	20
2	1787	20

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-+l+_binary64`
601×	`associate-+r+_binary64`
424×	`associate-/r/_binary64`
406×	`associate-*l/_binary64`
345×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3306
1	916	3058
2	3361	2912

Stop Event

1×	node limit

Counts

101 → 121

Calls

Call 1

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

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

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	7.5b	(sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
✓	17.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))
	29.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 204 to 32 computations (84.3% saved)

series22.0ms (0%)

Counts

2 → 61

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	y.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))
3.0ms	y.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))
2.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))
2.0ms	y.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))
1.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (sqrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)))

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`log-prod_binary64`
556×	`fma-def_binary64`
314×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
279×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	387	27
2	4712	27

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

937×	`associate-/r*_binary64`
837×	`fma-def_binary64`
600×	`associate-+l+_binary64`
523×	`associate-+r+_binary64`
364×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3304
1	757	3064
2	2868	2899

Stop Event

1×	node limit

Counts

129 → 122

Calls

Call 1

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

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

localize83.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	18.7b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	18.7b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 127 to 18 computations (85.8% saved)

series17.0ms (0%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x.im	@	0	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
2.0ms	x.im	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
2.0ms	x.re	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
2.0ms	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)))

rewrite76.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify224.0ms (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)))

eval844.0ms (1.8%)

Compiler: Compiled 38622 to 11981 computations (69% saved)

prune246.0ms (0.5%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	846	31	877
Fresh	21	7	28
Picked	1	0	1
Done	4	0	4
Total	872	38	910

Error

3.2b

Counts

910 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	21.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	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))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	49.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
	21.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3))))
	21.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
▶	16.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	40.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	19.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (-.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))))))
	11.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (fma.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	48.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 y.im (log.f64 x.im))))
	21.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
	41.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	44.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	46.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
▶	20.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log1p.f64 (expm1.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	51.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	19.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) 2))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	44.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	29.7b	(.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 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
▶	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)) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))))
	44.1b	(.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 (sqrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	49.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (fma.f64 -1/2 (/.f64 x.re (/.f64 x.im x.re)) (neg.f64 x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	21.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	45.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	27.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	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)) (sin.f64 (cbrt.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3))))
	27.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	20.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (.f64 (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im) (pow.f64 (sqrt.f64 (exp.f64 (atan2.f64 x.im x.re))) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.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)))))))
	32.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	48.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.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 2476 to 1430 computations (42.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	33.4b	(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 132 to 21 computations (84.1% saved)

series179.0ms (0.4%)

Counts

3 → 140

Calls

36 calls:

Time	Variable		Point	Expression
40.0ms	x.re	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
18.0ms	x.re	@	0	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
16.0ms	y.im	@	0	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
16.0ms	x.im	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)
13.0ms	x.im	@	inf	(pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3)

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	281	56
2	3005	56

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (*.f64 (cos.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1/6) (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 5/6) (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2) 1) (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))))

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

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

simplify376.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

688×	`times-frac_binary64`
567×	`*-commutative_binary64`
318×	`distribute-lft-in_binary64`
318×	`distribute-rgt-in_binary64`
275×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1219	36182
1	4485	30798

Stop Event

1×	node limit

Counts

238 → 259

Calls

Call 1

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

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

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x.re x.im)
✓	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	22.8b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 59 to 16 computations (72.9% saved)

series100.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
59.0ms	x.re	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
9.0ms	y.re	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
8.0ms	x.im	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
7.0ms	y.im	@	inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
3.0ms	x.im	@	-inf	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

rewrite66.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
342×	`pow-prod-down_binary64`
327×	`prod-diff_binary64`
306×	`pow2_binary64`
289×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	284	24
2	3114	24

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-r_binary64`
541×	`associate-l_binary64`
539×	`fma-def_binary64`
366×	`associate-+r+_binary64`
342×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	614	7312
1	1995	6723

Stop Event

1×	node limit

Counts

140 → 164

Calls

Call 1

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

Outputs
(.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))
(+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im (pow.f64 x.im y.re))) (pow.f64 x.im 2)))) (pow.f64 x.re 2)) (.f64 (sin.f64 (*.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))
(fma.f64 (.f64 1/2 (+.f64 (/.f64 y.re (/.f64 (.f64 x.im x.im) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))) (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im (pow.f64 x.im y.re))) (.f64 x.im x.im)))) (.f64 x.re x.re) (.f64 (sin.f64 (*.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))
(fma.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re) (.f64 1/2 (.f64 (+.f64 (.f64 (/.f64 y.re (.f64 x.im x.im)) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))) (.f64 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) x.im) (/.f64 (.f64 y.im (pow.f64 x.im y.re)) x.im))) (*.f64 x.re x.re))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im (pow.f64 x.im y.re))) (pow.f64 x.im 2)))) (pow.f64 x.re 2)) (+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) y.im) (pow.f64 x.im 4)))) (pow.f64 x.im y.re)) (.f64 1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.re (.f64 y.im (pow.f64 x.im y.re)))) (pow.f64 x.im 4)))))) (.f64 (sin.f64 (*.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))))
(fma.f64 (.f64 1/2 (+.f64 (/.f64 y.re (/.f64 (.f64 x.im x.im) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))) (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im (pow.f64 x.im y.re))) (.f64 x.im x.im)))) (.f64 x.re x.re) (fma.f64 (pow.f64 x.re 4) (fma.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4))))) (fma.f64 (fma.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im y.im)) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (/.f64 (pow.f64 x.im 4) y.im)))) (pow.f64 x.im y.re) (.f64 1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (.f64 y.im y.re) (pow.f64 x.im y.re))) (pow.f64 x.im 4))))) (.f64 (sin.f64 (*.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))))
(fma.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 y.re (.f64 x.im x.im)) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))) (.f64 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) x.im) (/.f64 (.f64 y.im (pow.f64 x.im y.re)) x.im)))) (.f64 x.re x.re) (fma.f64 (pow.f64 x.re 4) (fma.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 -1/4 (/.f64 (pow.f64 x.im 4) y.re)))) (fma.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (.f64 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im 4)) y.im) (/.f64 (.f64 -1/8 (.f64 y.im (.f64 y.im (sin.f64 (.f64 (log.f64 x.im) y.im))))) (pow.f64 x.im 4))) (/.f64 1/4 (/.f64 (pow.f64 x.im 4) (.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im y.re)) (pow.f64 x.im y.re)))))) (.f64 (sin.f64 (*.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))) (pow.f64 x.im 2))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im (pow.f64 x.im y.re))) (pow.f64 x.im 2)))) (pow.f64 x.re 2)) (+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) y.im) (pow.f64 x.im 4)))) (pow.f64 x.im y.re)) (.f64 1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.re (.f64 y.im (pow.f64 x.im y.re)))) (pow.f64 x.im 4)))))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) y.im) (pow.f64 x.im 4)))) (.f64 y.re (pow.f64 x.im y.re))) (pow.f64 x.im 2))) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (+.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)))))) (pow.f64 x.im y.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im (.f64 (pow.f64 x.im y.re) (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))))) (pow.f64 x.im 2))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.im 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))))))) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))))
(fma.f64 (.f64 1/2 (+.f64 (/.f64 y.re (/.f64 (.f64 x.im x.im) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))) (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im (pow.f64 x.im y.re))) (.f64 x.im x.im)))) (.f64 x.re x.re) (fma.f64 (pow.f64 x.re 4) (fma.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4))))) (fma.f64 (fma.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im y.im)) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (/.f64 (pow.f64 x.im 4) y.im)))) (pow.f64 x.im y.re) (.f64 1/4 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (.f64 y.im y.re) (pow.f64 x.im y.re))) (pow.f64 x.im 4))))) (fma.f64 (pow.f64 x.re 6) (fma.f64 1/2 (/.f64 (fma.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im y.im)) (pow.f64 x.im 4)) (.f64 -1/4 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (/.f64 (pow.f64 x.im 4) y.im)))) (/.f64 (.f64 x.im x.im) (.f64 y.re (pow.f64 x.im y.re)))) (fma.f64 (fma.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im y.im)) (pow.f64 x.im 6)) (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (fma.f64 1/6 (/.f64 y.im (pow.f64 x.im 6)) (/.f64 (.f64 -1/48 (pow.f64 y.im 3)) (pow.f64 x.im 6))))) (pow.f64 x.im y.re) (fma.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (.f64 y.im (pow.f64 x.im y.re)) (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (.f64 1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)))))) (.f64 x.im x.im)) (.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)) (fma.f64 -1/8 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))))))) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))))
(fma.f64 (.f64 1/2 (+.f64 (.f64 (/.f64 y.re (.f64 x.im x.im)) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))) (.f64 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) x.im) (/.f64 (.f64 y.im (pow.f64 x.im y.re)) x.im)))) (.f64 x.re x.re) (fma.f64 (pow.f64 x.re 4) (fma.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 x.im y.re) (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 -1/4 (/.f64 (pow.f64 x.im 4) y.re)))) (fma.f64 (pow.f64 x.im y.re) (fma.f64 -1/4 (.f64 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im 4)) y.im) (/.f64 (.f64 -1/8 (.f64 y.im (.f64 y.im (sin.f64 (.f64 (log.f64 x.im) y.im))))) (pow.f64 x.im 4))) (/.f64 1/4 (/.f64 (pow.f64 x.im 4) (.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 y.im y.re)) (pow.f64 x.im y.re)))))) (fma.f64 (pow.f64 x.re 6) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (.f64 (/.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im 4)) y.im) (/.f64 (.f64 -1/8 (.f64 y.im (.f64 y.im (sin.f64 (.f64 (log.f64 x.im) y.im))))) (pow.f64 x.im 4))) (.f64 (/.f64 x.im (pow.f64 x.im y.re)) (/.f64 x.im y.re))) (fma.f64 (pow.f64 x.im y.re) (fma.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (fma.f64 1/6 (/.f64 y.im (pow.f64 x.im 6)) (/.f64 (.f64 -1/48 (pow.f64 y.im 3)) (pow.f64 x.im 6))) (/.f64 (.f64 (.f64 y.im (.f64 y.im (sin.f64 (.f64 (log.f64 x.im) y.im)))) 1/8) (pow.f64 x.im 6))) (fma.f64 (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)) (fma.f64 -1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 6) y.re)) (fma.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)) (/.f64 1/6 (/.f64 (pow.f64 x.im 6) y.re)))) (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (pow.f64 x.im y.re) (.f64 (fma.f64 1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (/.f64 -1/4 (/.f64 (pow.f64 x.im 4) y.re))) y.im))) x.im))))) (.f64 (sin.f64 (*.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)))))
(.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.re))))))
(.f64 (sin.f64 (neg.f64 (.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))))
(.f64 (sin.f64 (.f64 y.im (neg.f64 (neg.f64 (log.f64 x.re))))) (pow.f64 (exp.f64 (neg.f64 y.re)) (neg.f64 (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))))) (pow.f64 x.re 2))) (+.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))) (exp.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))))) (.f64 1/2 (/.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.re (log.f64 (/.f64 1 x.re)))))))) (pow.f64 x.re 2)))))
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(.f64 (+.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) 1) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
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(fma.f64 1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (.f64 y.re y.re) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))))
(fma.f64 1/2 (.f64 (.f64 y.re y.re) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (+.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) 1) (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 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (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 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3))) (fma.f64 1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (.f64 y.re y.re) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))))))
(fma.f64 1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (fma.f64 1/2 (.f64 (.f64 y.re y.re) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (.f64 (+.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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 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 (.f64 x.im x.im) (.f64 x.re x.re))))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))
(.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(fma.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3))) (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)))
(fma.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) -1/6)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.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 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(fma.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3))) (fma.f64 1/120 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 5))) (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 (hypot.f64 x.im x.re) y.re))) (fma.f64 1/120 (.f64 (pow.f64 y.im 5) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5) (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 7)))) (+.f64 (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.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 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(fma.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3))) (fma.f64 -1/5040 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 7))) (fma.f64 1/120 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (.f64 (pow.f64 y.im 5) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 5))) (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)))))
(fma.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 (hypot.f64 x.im x.re) y.re))) (fma.f64 -1/5040 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 y.im 7) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 7))) (fma.f64 1/120 (.f64 (pow.f64 y.im 5) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5) (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 (log.f64 (hypot.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.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) (sin.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (.f64 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)))
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 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.im 6)) (pow.f64 x.re 5)))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (/.f64 -1/2 (/.f64 x.re (*.f64 x.im x.im))) x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (-.f64 (/.f64 (*.f64 (pow.f64 x.im 4) 1/8) (pow.f64 x.re 3)) x.re))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (-.f64 (/.f64 (*.f64 (pow.f64 x.im 4) 1/8) (pow.f64 x.re 3)) x.re)))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 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.im 6)) (pow.f64 x.re 5)))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) x.im) (.f64 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)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(fma.f64 -1 x.im (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im))
(fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (neg.f64 x.im))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(fma.f64 -1 x.im (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im)))
(-.f64 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)))) x.im)
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(fma.f64 -1 x.im (fma.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) (fma.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5)) -1/16 (fma.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2 (*.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))))) x.im)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	33.4b	(sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 79 to 17 computations (78.5% saved)

series27.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
360×	`pow2_binary64`
309×	`pow-pow_binary64`
257×	`pow-unpow_binary64`
252×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	303	27
2	3339	27

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify184.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

800×	`associate-r_binary64`
563×	`*-commutative_binary64`
549×	`associate-l_binary64`
525×	`fma-def_binary64`
358×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	8214
1	1898	7750

Stop Event

1×	node limit

Counts

79 → 98

Calls

Call 1

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

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

localize66.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.9b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	22.8b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 100 to 17 computations (83% saved)

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)
	0.9b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	22.6b	(sin.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3))))
✓	38.8b	(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))

Compiler

Compiled 116 to 43 computations (62.9% saved)

series109.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
71.0ms	x.im	@	inf	(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
6.0ms	x.re	@	inf	(pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)
4.0ms	x.im	@	inf	(pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)
4.0ms	y.im	@	-inf	(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))
3.0ms	x.im	@	0	(pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)

rewrite119.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
392×	`exp-prod_binary64`
359×	`pow-prod-down_binary64`
279×	`pow2_binary64`
247×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	251	29
2	2686	29

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

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

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

(pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (log.f64 (hypot.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3/2) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 5/2) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) 1) (log.f64 (hypot.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (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 sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 x.im x.re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (hypot.f64 x.im x.re)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 (hypot.f64 x.im x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.im x.re))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 x.im x.re)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.im x.re))) 3/2) 2))))))

simplify158.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
478×	`associate-r_binary64`
468×	`associate-+r+_binary64`
415×	`*-commutative_binary64`
350×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	589	5701
1	1958	5335
2	7843	5311

Stop Event

1×	node limit

Counts

197 → 253

Calls

Call 1

Inputs
(*.f64 y.im (log.f64 x.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 1/6 (/.f64 (*.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(*.f64 y.im (log.f64 x.im))
(+.f64 (.f64 y.im (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))))
(+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 x.re 6) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6))))))
(.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im) (pow.f64 x.re 6))))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(sin.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (sin.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (.f64 y.im (log.f64 x.re))))) (pow.f64 x.re 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))) (.f64 1/6 (/.f64 y.im (pow.f64 x.re 6)))) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 6)))) (pow.f64 x.im 6)) (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)))))
(sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(+.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (+.f64 (.f64 -1/4 (pow.f64 x.re 6)) (.f64 -1/360 (.f64 (log.f64 (/.f64 -1 x.im)) (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6))))))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (pow.f64 (log.f64 (/.f64 -1 x.im)) 2)) (pow.f64 x.im 4))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3)) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) (pow.f64 (log.f64 (/.f64 -1 x.im)) 2)) (pow.f64 x.im 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 4) (log.f64 (/.f64 -1 x.im))) (pow.f64 x.im 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (.f64 1/2 (.f64 (pow.f64 x.re 4) (log.f64 (/.f64 -1 x.im)))))) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (.f64 1/2 (.f64 (pow.f64 x.re 4) (log.f64 (/.f64 -1 x.im)))))) (pow.f64 x.im 6))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 x.re 6) (log.f64 (/.f64 -1 x.im))) (pow.f64 x.im 6))) (+.f64 (/.f64 (.f64 (pow.f64 x.re 2) (pow.f64 (log.f64 (/.f64 -1 x.im)) 2)) (pow.f64 x.im 2)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) (pow.f64 (log.f64 (/.f64 -1 x.im)) 2)) (pow.f64 x.im 2))))))))))))
(pow.f64 (log.f64 x.im) 3)
(+.f64 (pow.f64 (log.f64 x.im) 3) (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 2)))) (pow.f64 x.re 2)))
(+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 1/2 (/.f64 (log.f64 x.im) (pow.f64 x.im 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 4))) (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (.f64 -1/2 (/.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (log.f64 x.im))))) (+.f64 (pow.f64 (log.f64 x.im) 3) (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 2)))) (pow.f64 x.re 2))))
(+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 1/2 (/.f64 (log.f64 x.im) (pow.f64 x.im 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 4))) (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (.f64 -1/2 (/.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (log.f64 x.im))))) (+.f64 (pow.f64 (log.f64 x.im) 3) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 2)))) (pow.f64 x.re 2)) (.f64 (pow.f64 x.re 6) (+.f64 (.f64 (log.f64 x.im) (-.f64 (.f64 1/3 (/.f64 (log.f64 x.im) (pow.f64 x.im 6))) (.f64 1/4 (/.f64 1 (pow.f64 x.im 6))))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x.im 4))) (.f64 -1/2 (/.f64 (log.f64 x.im) (pow.f64 x.im 4)))) (pow.f64 x.im 2))) (+.f64 (.f64 -1/4 (/.f64 (log.f64 x.im) (pow.f64 x.im 6))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 x.im 6))))))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x.re)) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 x.re)) 3)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x.re)) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 x.re)) 3)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 1 x.re)) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))))))))
(+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 1 x.re)) 3)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x.re)) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 1 x.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))) (pow.f64 (log.f64 (/.f64 1 x.re)) 2)) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x.im 6)) (.f64 -1/360 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (log.f64 (/.f64 1 x.re))))) (log.f64 (/.f64 1 x.re))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 1 x.re)) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 1 x.re)) (pow.f64 x.im 6)) (pow.f64 x.re 6))))))))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)) (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 -1 x.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))) (pow.f64 (log.f64 (/.f64 -1 x.re)) 2)) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x.im 6)) (.f64 -1/360 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (log.f64 (/.f64 -1 x.re))))) (log.f64 (/.f64 -1 x.re))) (pow.f64 x.re 6))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 6)) (pow.f64 x.re 6))))))))))))

Outputs
(*.f64 y.im (log.f64 x.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.im (log.f64 x.re)))
(fma.f64 1/2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.im (log.f64 x.re)))
(fma.f64 1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.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 y.im (log.f64 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))) (.f64 y.im (log.f64 x.re))))
(fma.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.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 y.im (log.f64 x.re)) (.f64 1/6 (/.f64 (*.f64 y.im (pow.f64 x.im 6)) (pow.f64 x.re 6))))))
(fma.f64 -1/4 (/.f64 (.f64 y.im (pow.f64 x.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 1/6 (/.f64 y.im (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))))))
(fma.f64 -1/4 (.f64 (/.f64 y.im (pow.f64 x.re 4)) (pow.f64 x.im 4)) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 y.im x.re)) (fma.f64 y.im (log.f64 x.re) (/.f64 (.f64 y.im 1/6) (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(*.f64 y.im (neg.f64 (neg.f64 (log.f64 x.im))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))))
(fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.im))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (*.f64 x.im x.im))))
(-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im))) (.f64 y.im (neg.f64 (log.f64 x.im))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))
(fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.im))) (fma.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (.f64 x.im x.im)) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.im) (.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.re 6) 120) (/.f64 (pow.f64 x.im 6) y.im)) (fma.f64 -1 (.f64 y.im (neg.f64 (log.f64 x.im))) (fma.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im))))))
(fma.f64 1/720 (.f64 (/.f64 (.f64 (pow.f64 x.re 6) 120) (pow.f64 x.im 6)) y.im) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.im) (.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im)))) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(neg.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (*.f64 x.im x.im))))
(-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.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 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))
(fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (.f64 x.im x.im)) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im)))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.im) (.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im)))) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.im) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4))))))
(fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.re 6) 120) (/.f64 (pow.f64 x.im 6) y.im)) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))) (fma.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (.f64 x.im x.im)) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (/.f64 (pow.f64 x.im 4) y.im))))))
(fma.f64 1/720 (.f64 (/.f64 (.f64 (pow.f64 x.re 6) 120) (pow.f64 x.im 6)) y.im) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) y.im) (.f64 1/2 (.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 y.im x.im)))) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (log.f64 x.im))
(+.f64 (.f64 y.im (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))))
(fma.f64 y.im (log.f64 x.im) (.f64 1/2 (/.f64 (.f64 y.im (.f64 x.re x.re)) (.f64 x.im x.im))))
(fma.f64 y.im (log.f64 x.im) (.f64 1/2 (.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 y.im x.im))))
(+.f64 (.f64 y.im (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.im) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 x.re 4) y.im) (pow.f64 x.im 4)))))
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(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3))
(neg.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)) (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)))))))
(fma.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (fma.f64 1/4 (pow.f64 x.im 4) (.f64 1/2 (.f64 (pow.f64 x.im 4) (log.f64 (/.f64 -1 x.re)))))) (pow.f64 x.re 4)) (fma.f64 -1/2 (/.f64 (log.f64 (/.f64 -1 x.re)) (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.re 4)) (pow.f64 x.im 4)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.re 4)) (pow.f64 x.im 4)) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)))) (.f64 (/.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.re 4)) (.f64 (pow.f64 x.im 4) (+.f64 1/4 (*.f64 1/2 (log.f64 (/.f64 -1 x.re)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 -1 x.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))) (pow.f64 (log.f64 (/.f64 -1 x.re)) 2)) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x.im 6)) (.f64 -1/360 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (log.f64 (/.f64 -1 x.re))))) (log.f64 (/.f64 -1 x.re))) (pow.f64 x.re 6))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2)) (pow.f64 x.re 2)) (.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 6)) (pow.f64 x.re 6))))))))))))
(fma.f64 -1/2 (/.f64 (log.f64 (/.f64 -1 x.re)) (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 x.im 6) 120) (/.f64 (pow.f64 x.re 6) (pow.f64 (log.f64 (/.f64 -1 x.re)) 2))) (fma.f64 1/2 (/.f64 (.f64 x.im x.im) (/.f64 (pow.f64 x.re 6) (fma.f64 1/4 (pow.f64 x.im 4) (.f64 1/2 (.f64 (pow.f64 x.im 4) (log.f64 (/.f64 -1 x.re))))))) (fma.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (fma.f64 1/4 (pow.f64 x.im 4) (.f64 1/2 (.f64 (pow.f64 x.im 4) (log.f64 (/.f64 -1 x.re)))))) (pow.f64 x.re 4)) (fma.f64 -1 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (fma.f64 -1 (/.f64 (fma.f64 -1/4 (pow.f64 x.im 6) (.f64 -1/360 (.f64 (.f64 (pow.f64 x.im 6) 120) (log.f64 (/.f64 -1 x.re))))) (/.f64 (pow.f64 x.re 6) (log.f64 (/.f64 -1 x.re)))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 1/4 (/.f64 (log.f64 (/.f64 -1 x.re)) (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))))))))))))
(fma.f64 -1/2 (.f64 (/.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.re 4)) (pow.f64 x.im 4)) (fma.f64 1/720 (.f64 (/.f64 (.f64 (pow.f64 x.im 6) 120) (pow.f64 x.re 6)) (pow.f64 (log.f64 (/.f64 -1 x.re)) 2)) (fma.f64 1/2 (.f64 (/.f64 (.f64 x.im x.im) (pow.f64 x.re 6)) (.f64 (pow.f64 x.im 4) (+.f64 1/4 (.f64 1/2 (log.f64 (/.f64 -1 x.re)))))) (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.re 4)) (pow.f64 x.im 4)) (-.f64 (fma.f64 1/4 (.f64 (/.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.re 6)) (pow.f64 x.im 6)) (/.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (/.f64 (fma.f64 -1/4 (pow.f64 x.im 6) (.f64 (.f64 (pow.f64 x.im 6) 120) (.f64 (log.f64 (/.f64 -1 x.re)) -1/360))) (/.f64 (pow.f64 x.re 6) (log.f64 (/.f64 -1 x.re))))))) (pow.f64 (log.f64 (/.f64 -1 x.re)) 3)) (.f64 (/.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.re 4)) (.f64 (pow.f64 x.im 4) (+.f64 1/4 (*.f64 1/2 (log.f64 (/.f64 -1 x.re))))))))))

eval1.9s (4.1%)

Compiler: Compiled 105290 to 49287 computations (53.2% saved)

prune784.0ms (1.6%)

Pruning

62 alts after pruning (62 fresh and 0 done)

	Pruned	Kept	Total
New	1252	52	1304
Fresh	23	10	33
Picked	1	0	1
Done	4	0	4
Total	1280	62	1342

Error

3.1b

Counts

1342 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(.f64 (/.f64 (pow.f64 x.im y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	21.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
	27.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2) (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	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))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	40.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3)))))
	20.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)) 3))
	37.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1/6) 6)) 3))
	45.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))))
	53.4b	(.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))
	21.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))))
	44.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	21.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	50.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 x.im))))
	35.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (/.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))))))
	37.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2/3) 3))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3))))
	46.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (sin.f64 1)))) 3))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	19.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	20.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2) 3/2) 3))
▶	48.7b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
	42.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (cbrt.f64 (.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 x.im x.re))))) (pow.f64 y.im 3)))))
▶	11.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (fma.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	42.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (cbrt.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))) 1) (pow.f64 y.im 3)))))
▶	49.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)))
	57.7b	(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
	39.6b	(.f64 (/.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	39.2b	(.f64 (/.f64 (pow.f64 x.re y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	45.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))))
	27.5b	(log1p.f64 (expm1.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
	28.3b	(.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))
	42.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 3))
▶	44.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	32.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (.f64 y.im y.im))) (cbrt.f64 y.im))))
	29.2b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	27.5b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)))
	29.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) y.im))))
	34.9b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 3))
	45.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	48.4b	(.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re))
	49.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	48.4b	(.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (pow.f64 x.re y.re))
	43.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	16.8b	(/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)))
	27.5b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
▶	45.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	53.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 x.im) 3) (pow.f64 y.im 3)))))
	36.4b	(sqrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) 2))
	16.8b	(.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
	36.9b	(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 -1/2 (/.f64 x.re (.f64 x.im x.im))) x.re) y.re) 1) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	52.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im)))))
	16.8b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	27.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	33.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	35.0b	(pow.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) 2)
	39.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
	46.4b	(.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
	38.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	44.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log1p.f64 (expm1.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))))
	50.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
	27.7b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) 3)

Compiler

Compiled 3404 to 2092 computations (38.5% saved)

localize203.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	1.1b	(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
	18.7b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	18.7b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 224 to 40 computations (82.1% saved)

series31.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y.im	@	0	(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
4.0ms	x.re	@	-inf	(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
4.0ms	x.im	@	0	(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
3.0ms	x.im	@	inf	(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
3.0ms	y.im	@	-inf	(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))

rewrite86.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`pow1_binary64`
713×	`add-log-exp_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	171	13
2	1983	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify167.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

843×	`associate-l_binary64`
795×	`distribute-rgt-in_binary64`
613×	`cancel-sign-sub-inv_binary64`
610×	`distribute-rgt-neg-in_binary64`
607×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	882
1	286	846
2	894	775
3	4081	736

Stop Event

1×	node limit

Counts

54 → 29

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (E.f64) 1/3)
(+.f64 (pow.f64 (E.f64) 1/3) (.f64 1/3 (.f64 (.f64 (E.f64) (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))))
(+.f64 (pow.f64 (E.f64) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (E.f64) (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 4)) 1/9) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (pow.f64 (exp.f64 1) 7) 1/3))))) (pow.f64 y.im 2))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (pow.f64 y.im 3) (-.f64 (.f64 (E.f64) (+.f64 (.f64 1/3 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 (exp.f64 1) 3)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 8)) 1/9) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (exp.f64 1)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (E.f64) 7) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (exp.f64 1) 4)) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (atan2.f64 x.im x.re)) (pow.f64 (pow.f64 (exp.f64 1) 4) 1/3))))))))) (+.f64 (pow.f64 (E.f64) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (E.f64) (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 4)) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (pow.f64 (exp.f64 1) 7) 1/3))))) (pow.f64 y.im 2)))))))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)

Outputs
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (E.f64) 1/3)
(cbrt.f64 (E.f64))
(+.f64 (pow.f64 (E.f64) 1/3) (.f64 1/3 (.f64 (.f64 (E.f64) (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))))
(+.f64 (cbrt.f64 (E.f64)) (.f64 (.f64 1/3 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (E.f64))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18))))
(fma.f64 1/3 (.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) (E.f64))) (.f64 (pow.f64 (/.f64 1 (exp.f64 2)) 1/18) (pow.f64 (/.f64 1 (exp.f64 2)) 1/18))) (cbrt.f64 (E.f64)))
(fma.f64 1/3 (.f64 (atan2.f64 x.im x.re) (.f64 (.f64 y.im (E.f64)) (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18)))) (cbrt.f64 (E.f64)))
(+.f64 (pow.f64 (E.f64) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (E.f64) (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 4)) 1/9) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (pow.f64 (exp.f64 1) 7) 1/3))))) (pow.f64 y.im 2))))))
(+.f64 (cbrt.f64 (E.f64)) (.f64 1/3 (+.f64 (.f64 (E.f64) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (.f64 (.f64 y.im y.im) (-.f64 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cbrt.f64 (pow.f64 (E.f64) 7))))))))))
(fma.f64 1/3 (fma.f64 (E.f64) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (.f64 (pow.f64 (/.f64 1 (exp.f64 2)) 1/18) (pow.f64 (/.f64 1 (exp.f64 2)) 1/18)))) (.f64 (fma.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (.f64 -1/3 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cbrt.f64 (pow.f64 (E.f64) 7)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18)))) (.f64 (.f64 y.im y.im) (cbrt.f64 (/.f64 1 (exp.f64 2)))))) (cbrt.f64 (E.f64)))
(fma.f64 1/3 (.f64 y.im (+.f64 (.f64 (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18)) (.f64 (atan2.f64 x.im x.re) (E.f64))) (.f64 y.im (.f64 (cbrt.f64 (exp.f64 -2)) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (-.f64 (E.f64) (.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 4)) 1/18) (pow.f64 (/.f64 1 (exp.f64 4)) 1/18)) (.f64 1/3 (cbrt.f64 (pow.f64 (E.f64) 7)))))))))) (cbrt.f64 (E.f64)))
(fma.f64 1/3 (.f64 y.im (+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 (E.f64) (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18)))) (.f64 y.im (.f64 (.f64 (cbrt.f64 (exp.f64 -2)) (pow.f64 (atan2.f64 x.im x.re) 2)) (+.f64 (E.f64) (.f64 (.f64 (pow.f64 (exp.f64 -4) 1/18) (pow.f64 (exp.f64 -4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (E.f64) 7)) -1/3))))))) (cbrt.f64 (E.f64)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (pow.f64 y.im 3) (-.f64 (.f64 (E.f64) (+.f64 (.f64 1/3 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 (exp.f64 1) 3)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 8)) 1/9) (.f64 (.f64 (-.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (exp.f64 1)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (E.f64) 7) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (exp.f64 1) 4)) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (atan2.f64 x.im x.re)) (pow.f64 (pow.f64 (exp.f64 1) 4) 1/3))))))))) (+.f64 (pow.f64 (E.f64) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (E.f64) (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/9))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (E.f64) 4)) 1/9) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 (pow.f64 (exp.f64 1) 7) 1/3))))) (pow.f64 y.im 2)))))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (pow.f64 y.im 3)) (-.f64 (.f64 (E.f64) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) 5/6)) (fma.f64 1/27 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (pow.f64 (atan2.f64 x.im x.re) 3)) (pow.f64 (E.f64) 3)) (.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18))) (.f64 (-.f64 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cbrt.f64 (pow.f64 (E.f64) 7))))) (.f64 (atan2.f64 x.im x.re) (cbrt.f64 (pow.f64 (E.f64) 4)))))))) (+.f64 (cbrt.f64 (E.f64)) (.f64 1/3 (+.f64 (.f64 (E.f64) (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 2)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (.f64 (.f64 y.im y.im) (-.f64 (.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2)) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cbrt.f64 (pow.f64 (E.f64) 7)))))))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (exp.f64 2))) (.f64 (pow.f64 y.im 3) (-.f64 (.f64 (E.f64) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) 5/6)) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (exp.f64 2))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 (E.f64) 3))) (.f64 2/3 (.f64 (fma.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (.f64 -1/3 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cbrt.f64 (pow.f64 (E.f64) 7)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18)))) (.f64 (.f64 (atan2.f64 x.im x.re) (cbrt.f64 (pow.f64 (E.f64) 4))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18))))))))) (fma.f64 1/3 (fma.f64 (E.f64) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (.f64 (pow.f64 (/.f64 1 (exp.f64 2)) 1/18) (pow.f64 (/.f64 1 (exp.f64 2)) 1/18)))) (.f64 (fma.f64 (E.f64) (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (.f64 -1/3 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (cbrt.f64 (pow.f64 (E.f64) 7)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 4)) 1/18)))) (.f64 (*.f64 y.im y.im) (cbrt.f64 (/.f64 1 (exp.f64 2)))))) (cbrt.f64 (E.f64))))
(+.f64 (fma.f64 1/3 (.f64 (atan2.f64 x.im x.re) (.f64 (.f64 y.im (E.f64)) (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18)))) (cbrt.f64 (E.f64))) (.f64 (.f64 1/3 (cbrt.f64 (exp.f64 -2))) (+.f64 (.f64 y.im (.f64 y.im (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (-.f64 (E.f64) (.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 4)) 1/18) (pow.f64 (/.f64 1 (exp.f64 4)) 1/18)) (.f64 1/3 (cbrt.f64 (pow.f64 (E.f64) 7)))))))) (.f64 (pow.f64 y.im 3) (+.f64 (fma.f64 (E.f64) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) 5/6) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (exp.f64 3)) (.f64 (cbrt.f64 (exp.f64 -2)) -1/27))) (.f64 (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (-.f64 (E.f64) (.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 4)) 1/18) (pow.f64 (/.f64 1 (exp.f64 4)) 1/18)) (.f64 1/3 (cbrt.f64 (pow.f64 (E.f64) 7)))))) (.f64 (atan2.f64 x.im x.re) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (E.f64) 8)) 1/18)) (cbrt.f64 (exp.f64 4))))) -2/3))))))
(+.f64 (cbrt.f64 (E.f64)) (.f64 1/3 (+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 (.f64 y.im (E.f64)) (.f64 (pow.f64 (exp.f64 -2) 1/18) (pow.f64 (exp.f64 -2) 1/18)))) (.f64 (.f64 y.im (.f64 y.im (cbrt.f64 (exp.f64 -2)))) (+.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (+.f64 (E.f64) (.f64 (.f64 (pow.f64 (exp.f64 -4) 1/18) (pow.f64 (exp.f64 -4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (E.f64) 7)) -1/3)))) (.f64 y.im (+.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (-.f64 (.f64 (E.f64) 5/6) (.f64 (cbrt.f64 (exp.f64 -2)) (.f64 1/27 (exp.f64 3))))) (.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 8)) 1/18) (pow.f64 (/.f64 1 (exp.f64 8)) 1/18)) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (+.f64 (E.f64) (.f64 (.f64 (pow.f64 (exp.f64 -4) 1/18) (pow.f64 (exp.f64 -4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (E.f64) 7)) -1/3)))) (*.f64 (cbrt.f64 (exp.f64 4)) -2/3))))))))))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(pow.f64 (exp.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 1/3)
(cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))

localize19.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x.im x.re)
	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	22.8b	(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	0	(hypot.f64 x.im x.re)
0.0ms	x.im	@	inf	(hypot.f64 x.im x.re)
0.0ms	x.im	@	-inf	(hypot.f64 x.im x.re)
0.0ms	x.re	@	-inf	(hypot.f64 x.im x.re)
0.0ms	x.re	@	0	(hypot.f64 x.im x.re)

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	475
1	191	458
2	557	454
3	2291	454
4	6224	454

Stop Event

1×	node limit

Counts

69 → 75

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	18.7b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series119.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
67.0ms	x.im	@	inf	(*.f64 (log.f64 x.im) y.re)
25.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
13.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
13.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.re)
1.0ms	y.re	@	inf	(*.f64 (log.f64 x.im) y.re)

rewrite39.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify180.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 17

Calls

Call 1

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

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

localize60.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)
	0.3b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
✓	9.7b	(sin.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3))
✓	38.6b	(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)

Compiler

Compiled 87 to 33 computations (62.1% saved)

series297.0ms (0.6%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
99.0ms	x.re	@	0	(sin.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3))
70.0ms	x.re	@	-inf	(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
48.0ms	x.im	@	0	(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)
8.0ms	x.im	@	0	(sin.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3))
8.0ms	x.im	@	inf	(sin.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`pow1_binary64`
907×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	256	32
2	2603	32

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3)

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

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

Outputs

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

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

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

simplify598.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

832×	`associate-/l*_binary64`
508×	`*-commutative_binary64`
428×	`distribute-lft-in_binary64`
428×	`distribute-rgt-in_binary64`
262×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1104	25689
1	4420	21384

Stop Event

1×	node limit

Counts

178 → 221

Calls

Call 1

Inputs
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(*.f64 y.im (log.f64 x.re))
(+.f64 (.f64 y.im (log.f64 x.re)) (.f64 1/3 (/.f64 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 x.re) (pow.f64 y.im 2)) (pow.f64 x.re 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 2) (log.f64 x.re)) (pow.f64 x.re 2)))) (.f64 y.im (log.f64 x.re))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 3)) (pow.f64 x.re 2))))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2)))))
(+.f64 (.f64 y.im (log.f64 x.re)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 x.re) (pow.f64 y.im 2)) (pow.f64 x.re 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 2) (log.f64 x.re)) (pow.f64 x.re 2)))) (.f64 y.im (log.f64 x.re))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 3)) (pow.f64 x.re 2))))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 x.im 4) (-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 3)) (pow.f64 x.re 4))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 x.re) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 y.im 2) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 y.im 2) (log.f64 x.re)) (pow.f64 x.re 4))))) (.f64 y.im (log.f64 x.re))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 x.re) (pow.f64 y.im 2)) (pow.f64 x.re 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 2) (log.f64 x.re)) (pow.f64 x.re 2)))) y.im) (pow.f64 x.re 2))))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.re) 2)) (pow.f64 x.re 2))) (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 x.re) (pow.f64 y.im 2)) (pow.f64 x.re 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 2) (log.f64 x.re)) (pow.f64 x.re 2)))) (.f64 y.im (log.f64 x.re)))) 2) (.f64 (pow.f64 (log.f64 x.re) 3) (pow.f64 y.im 3)))) (.f64 1/9 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.re) 2)) (pow.f64 x.re 2))) (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 x.re) (pow.f64 y.im 2)) (pow.f64 x.re 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 2) (log.f64 x.re)) (pow.f64 x.re 2)))) (.f64 y.im (log.f64 x.re)))) 2) (.f64 (pow.f64 (log.f64 x.re) 3) (pow.f64 y.im 3))))))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2))))))
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(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 3) (pow.f64 y.im 3))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (.f64 (pow.f64 y.im 3) (pow.f64 x.im 2))) (pow.f64 x.re 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (.f64 (pow.f64 y.im 3) (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 1 x.re)) (.f64 (pow.f64 y.im 3) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x.re)) (.f64 y.im (+.f64 (.f64 -1/360 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (.f64 (log.f64 (/.f64 1 x.re)) (pow.f64 y.im 2)))) (.f64 -1/4 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6)))))) (pow.f64 x.re 6))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 (/.f64 1 x.re)) (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (log.f64 (/.f64 1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 1/4 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 6))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (pow.f64 y.im 3))) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (log.f64 (/.f64 1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 1/4 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 x.re)) 2) (*.f64 (pow.f64 y.im 3) (pow.f64 x.im 4))) (pow.f64 x.re 4))))))))))))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3) (pow.f64 y.im 3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (/.f64 (.f64 y.im (.f64 (log.f64 (/.f64 -1 x.re)) (+.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 2)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 2))))))) (pow.f64 x.re 2))) (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3) (pow.f64 y.im 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 y.im (+.f64 (.f64 1/4 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (+.f64 (.f64 1/4 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 1/4 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4)))))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (/.f64 (.f64 y.im (.f64 (log.f64 (/.f64 -1 x.re)) (+.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 2)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 2))))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3) (pow.f64 y.im 3))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (+.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 2)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (*.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 2))))) (pow.f64 x.im 2))) (pow.f64 x.re 4))))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 y.im (+.f64 (.f64 1/4 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (+.f64 (.f64 1/4 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 1/4 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4)))))))) (pow.f64 x.re 4))) (+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 3) (pow.f64 y.im 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (+.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 2)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 2))))) (pow.f64 x.im 4))) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (+.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 2)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 2))))) (pow.f64 x.im 2))) (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))) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 y.im 3))) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (/.f64 (.f64 y.im (.f64 (log.f64 (/.f64 -1 x.re)) (+.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 2)))) (.f64 -1/2 (.f64 (pow.f64 y.im 2) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 2))))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (.f64 (pow.f64 y.im 2) (log.f64 (/.f64 -1 x.re))))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (.f64 -1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) (.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 y.im 2)))))) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (/.f64 -1 x.re)) 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (+.f64 (.f64 1/4 (.f64 (log.f64 (/.f64 -1 x.re)) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 1/4 (.f64 (pow.f64 y.im 2) (*.f64 (log.f64 (/.f64 -1 x.re)) (pow.f64 x.im 4)))))))) (pow.f64 x.re 6))))))))))))

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

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	33.4b	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
✓	43.0b	(pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)

Compiler

Compiled 201 to 59 computations (70.6% saved)

series67.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	y.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite82.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log-prod_binary64`
410×	`pow2_binary64`
401×	`fma-def_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	350	22
2	4020	22

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)
(sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Outputs

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

simplify195.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-r_binary64`
498×	`fma-def_binary64`
412×	`*-commutative_binary64`
365×	`times-frac_binary64`
346×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	6938
1	1727	6032
2	7964	6000

Stop Event

1×	node limit

Counts

131 → 167

Calls

Call 1

Inputs
x.im
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 2) (+.f64 (*.f64 1/2 x.im) x.im)) (pow.f64 x.im 2))) x.im)
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/2 x.im) x.im)) (pow.f64 x.im 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.im)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 2) (pow.f64 x.im 3))) (*.f64 1/8 (/.f64 1 x.im)))) (pow.f64 x.re 4)) (pow.f64 x.im 2))) x.im))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/2 x.im) x.im)) (pow.f64 x.im 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.im)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 2) (pow.f64 x.im 3))) (.f64 1/8 (/.f64 1 x.im)))) (pow.f64 x.re 4)) (pow.f64 x.im 2))) (+.f64 x.im (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/16 (/.f64 1 (pow.f64 x.im 3))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.im)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 2) (pow.f64 x.im 3))) (.f64 1/8 (/.f64 1 x.im)))) (+.f64 (.f64 1/2 x.im) x.im)) (pow.f64 x.im 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.im 3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 3) (pow.f64 x.im 6))))))) (pow.f64 x.im 2))))))
x.re
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) x.re)
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 x.re (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (*.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3)))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/8 (pow.f64 x.im 6)) (+.f64 (.f64 -1/4 (pow.f64 x.im 6)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/16 (pow.f64 x.im 6))))) (+.f64 (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))))) (.f64 1/27 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 3)))) (pow.f64 x.re 5))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 x.re (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (*.f64 -1 x.re))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 (.f64 -1 x.re) (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 (.f64 -1 x.re) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3))) (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/8 (pow.f64 x.im 6)) (+.f64 (.f64 -1/4 (pow.f64 x.im 6)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/16 (pow.f64 x.im 6))))) (+.f64 (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))))) (.f64 1/27 (pow.f64 (+.f64 (pow.f64 x.im 2) (*.f64 1/2 (pow.f64 x.im 2))) 3)))) (pow.f64 x.re 5))))))
x.re
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (*.f64 1/2 x.re) x.re) (pow.f64 x.im 2)) (pow.f64 x.re 2))) x.re)
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 1/2 x.re) x.re) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 x.re (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/8 (/.f64 1 x.re)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x.re) x.re) 2) (pow.f64 x.re 3))))) (pow.f64 x.im 4)) (pow.f64 x.re 2)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 1/2 x.re) x.re) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/16 (/.f64 1 (pow.f64 x.re 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.re 3))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/8 (/.f64 1 x.re)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.re) x.re) 2) (pow.f64 x.re 3))))) (+.f64 (.f64 1/2 x.re) x.re)) (pow.f64 x.re 3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.re) x.re) 3) (pow.f64 x.re 6)))))) (pow.f64 x.im 6)) (pow.f64 x.re 2))) (+.f64 x.re (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/8 (/.f64 1 x.re)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.re) x.re) 2) (pow.f64 x.re 3))))) (pow.f64 x.im 4)) (pow.f64 x.re 2))))))
x.im
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) x.im)) x.im)
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) x.im)) (+.f64 x.im (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (*.f64 1/2 (pow.f64 x.re 2))) 2))) (pow.f64 x.im 3)))))
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(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/3 (/.f64 (.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 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) y.im)) (pow.f64 x.im 2))))
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(+.f64 (.f64 -1/72 (/.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 (.f64 -4/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2)) (.f64 8 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2))))) (.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) (pow.f64 y.im 2)))) (pow.f64 x.im 6))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 -80 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2))) (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))))) (+.f64 (.f64 80/9 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 3)) (.f64 240 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 x.re 6)) (+.f64 (.f64 1/8 (pow.f64 x.re 6)) (+.f64 (.f64 1/16 (pow.f64 x.re 6)) (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 1/4 (pow.f64 x.re 4))) (pow.f64 x.re 2)))))) (+.f64 (.f64 1/27 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 3)) (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2))) (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2)))))))))) y.im)) (.f64 -1/162 (.f64 (pow.f64 y.im 3) (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 3)))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 6)) (+.f64 (.f64 -1/18 (/.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 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.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 1/3 (/.f64 (.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 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) y.im)) (pow.f64 x.im 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 -4/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2)) (.f64 8 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2))))) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 4))))))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im)))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))

Outputs
x.im
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 2) (+.f64 (*.f64 1/2 x.im) x.im)) (pow.f64 x.im 2))) x.im)
(fma.f64 1/3 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (*.f64 3/2 x.im))) x.im)
(fma.f64 1/3 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) (*.f64 x.im 3/2)) x.im)
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/2 x.im) x.im)) (pow.f64 x.im 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.im)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 2) (pow.f64 x.im 3))) (*.f64 1/8 (/.f64 1 x.im)))) (pow.f64 x.re 4)) (pow.f64 x.im 2))) x.im))
(fma.f64 1/3 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 3/2 x.im))) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/2 x.im) (fma.f64 1/3 (/.f64 (pow.f64 (.f64 3/2 x.im) 2) (pow.f64 x.im 3)) (/.f64 1/8 x.im))) (/.f64 (*.f64 x.im x.im) (pow.f64 x.re 4))) x.im))
(fma.f64 1/3 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) (.f64 x.im 3/2)) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (/.f64 1/2 x.im) (fma.f64 1/3 (/.f64 (.f64 9/4 (.f64 x.im x.im)) (pow.f64 x.im 3)) (/.f64 1/8 x.im))) (*.f64 x.im x.im)) (pow.f64 x.re 4)) x.im))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/2 x.im) x.im)) (pow.f64 x.im 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.im)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 2) (pow.f64 x.im 3))) (.f64 1/8 (/.f64 1 x.im)))) (pow.f64 x.re 4)) (pow.f64 x.im 2))) (+.f64 x.im (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/16 (/.f64 1 (pow.f64 x.im 3))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.im)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 2) (pow.f64 x.im 3))) (.f64 1/8 (/.f64 1 x.im)))) (+.f64 (.f64 1/2 x.im) x.im)) (pow.f64 x.im 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.im 3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.im) x.im) 3) (pow.f64 x.im 6))))))) (pow.f64 x.im 2))))))
(fma.f64 1/3 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 3/2 x.im))) (+.f64 (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/2 x.im) (fma.f64 1/3 (/.f64 (pow.f64 (.f64 3/2 x.im) 2) (pow.f64 x.im 3)) (/.f64 1/8 x.im))) (/.f64 (.f64 x.im x.im) (pow.f64 x.re 4))) x.im) (.f64 1/3 (/.f64 (pow.f64 x.re 6) (/.f64 (.f64 x.im x.im) (-.f64 (/.f64 1/16 (pow.f64 x.im 3)) (fma.f64 2/3 (/.f64 (-.f64 (/.f64 1/2 x.im) (fma.f64 1/3 (/.f64 (pow.f64 (.f64 3/2 x.im) 2) (pow.f64 x.im 3)) (/.f64 1/8 x.im))) (/.f64 (pow.f64 x.im 3) (.f64 3/2 x.im))) (+.f64 (/.f64 1/8 (pow.f64 x.im 3)) (.f64 1/27 (/.f64 (pow.f64 (*.f64 3/2 x.im) 3) (pow.f64 x.im 6)))))))))))
(fma.f64 1/3 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) (.f64 x.im 3/2)) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (/.f64 1/2 x.im) (fma.f64 1/3 (/.f64 (.f64 9/4 (.f64 x.im x.im)) (pow.f64 x.im 3)) (/.f64 1/8 x.im))) (.f64 x.im x.im)) (pow.f64 x.re 4)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 x.re 6) (.f64 x.im x.im)) (-.f64 (/.f64 1/16 (pow.f64 x.im 3)) (fma.f64 2/3 (.f64 (/.f64 (-.f64 (/.f64 1/2 x.im) (fma.f64 1/3 (/.f64 (.f64 9/4 (.f64 x.im x.im)) (pow.f64 x.im 3)) (/.f64 1/8 x.im))) (pow.f64 x.im 3)) (.f64 x.im 3/2)) (fma.f64 1/27 (/.f64 (.f64 27/8 (pow.f64 x.im 3)) (pow.f64 x.im 6)) (/.f64 1/8 (pow.f64 x.im 3)))))) x.im)))
x.re
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) x.re)
(fma.f64 1/3 (/.f64 (.f64 3/2 (.f64 x.im x.im)) x.re) x.re)
(+.f64 x.re (/.f64 (.f64 x.im (.f64 x.im 1/2)) x.re))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 x.re (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (*.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3)))))
(+.f64 (fma.f64 1/3 (/.f64 (.f64 3/2 (.f64 x.im x.im)) x.re) x.re) (.f64 1/3 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x.im 4) (fma.f64 -1/8 (pow.f64 x.im 4) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 1/3 (pow.f64 (.f64 3/2 (*.f64 x.im x.im)) 2))) (pow.f64 x.re 3))))
(+.f64 (/.f64 (.f64 x.im (.f64 x.im 1/2)) x.re) (fma.f64 1/3 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x.im 4) 3/8) 0) (.f64 (*.f64 9/4 (pow.f64 x.im 4)) -1/3)) (pow.f64 x.re 3)) x.re))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/8 (pow.f64 x.im 6)) (+.f64 (.f64 -1/4 (pow.f64 x.im 6)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/16 (pow.f64 x.im 6))))) (+.f64 (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))))) (.f64 1/27 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 3)))) (pow.f64 x.re 5))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 x.re (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3))))))
(fma.f64 1/3 (/.f64 (-.f64 (fma.f64 1/8 (pow.f64 x.im 6) (fma.f64 -1/4 (pow.f64 x.im 6) (fma.f64 1/2 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 x.im 4) 0)) (.f64 1/16 (pow.f64 x.im 6))))) (fma.f64 2/3 (.f64 (.f64 3/2 (.f64 x.im x.im)) (-.f64 (fma.f64 1/4 (pow.f64 x.im 4) (fma.f64 -1/8 (pow.f64 x.im 4) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 1/3 (pow.f64 (.f64 3/2 (.f64 x.im x.im)) 2)))) (.f64 1/27 (pow.f64 (.f64 3/2 (.f64 x.im x.im)) 3)))) (pow.f64 x.re 5)) (+.f64 (fma.f64 1/3 (/.f64 (.f64 3/2 (.f64 x.im x.im)) x.re) x.re) (.f64 1/3 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x.im 4) (fma.f64 -1/8 (pow.f64 x.im 4) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 1/3 (pow.f64 (.f64 3/2 (*.f64 x.im x.im)) 2))) (pow.f64 x.re 3)))))
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x.im 4) 3/8) 0) (.f64 (.f64 9/4 (pow.f64 x.im 4)) -1/3)) (pow.f64 x.re 3)) x.re) (fma.f64 1/3 (/.f64 (+.f64 (.f64 (pow.f64 x.im 6) -1/8) (-.f64 (fma.f64 1/16 (pow.f64 x.im 6) (.f64 x.im (.f64 x.im 0))) (fma.f64 (.f64 2/3 (+.f64 (+.f64 (.f64 (pow.f64 x.im 4) 3/8) 0) (.f64 (.f64 9/4 (pow.f64 x.im 4)) -1/3))) (.f64 (.f64 x.im 3/2) x.im) (.f64 1/27 (pow.f64 (.f64 (.f64 x.im 3/2) x.im) 3))))) (pow.f64 x.re 5)) (/.f64 (.f64 x.im (*.f64 x.im 1/2)) x.re)))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (*.f64 -1 x.re))
(fma.f64 -1/3 (/.f64 (.f64 3/2 (.f64 x.im x.im)) x.re) (neg.f64 x.re))
(-.f64 (/.f64 (.f64 -1/2 (.f64 x.im x.im)) x.re) x.re)
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 (.f64 -1 x.re) (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3)))))
(fma.f64 -1/3 (/.f64 (.f64 3/2 (.f64 x.im x.im)) x.re) (fma.f64 -1 x.re (.f64 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x.im 4) (fma.f64 -1/8 (pow.f64 x.im 4) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 1/3 (pow.f64 (.f64 3/2 (*.f64 x.im x.im)) 2))) (pow.f64 x.re 3)) -1/3)))
(+.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.im x.im)) x.re) x.re) (.f64 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x.im 4) 3/8) 0) (.f64 (.f64 9/4 (pow.f64 x.im 4)) -1/3)) (pow.f64 x.re 3)) -1/3))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) x.re)) (+.f64 (.f64 -1 x.re) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (pow.f64 x.re 3))) (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/8 (pow.f64 x.im 6)) (+.f64 (.f64 -1/4 (pow.f64 x.im 6)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x.im 2) (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/16 (pow.f64 x.im 6))))) (+.f64 (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 x.im 4)) (+.f64 (.f64 -1/8 (pow.f64 x.im 4)) (+.f64 (.f64 1/2 (pow.f64 x.im 4)) (.f64 -1/4 (pow.f64 x.im 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))) 2))) (+.f64 (pow.f64 x.im 2) (.f64 1/2 (pow.f64 x.im 2))))) (.f64 1/27 (pow.f64 (+.f64 (pow.f64 x.im 2) (*.f64 1/2 (pow.f64 x.im 2))) 3)))) (pow.f64 x.re 5))))))
(fma.f64 -1/3 (/.f64 (.f64 3/2 (.f64 x.im x.im)) x.re) (fma.f64 -1 x.re (.f64 -1/3 (+.f64 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x.im 4) (fma.f64 -1/8 (pow.f64 x.im 4) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 1/3 (pow.f64 (.f64 3/2 (.f64 x.im x.im)) 2))) (pow.f64 x.re 3)) (/.f64 (-.f64 (fma.f64 1/8 (pow.f64 x.im 6) (fma.f64 -1/4 (pow.f64 x.im 6) (fma.f64 1/2 (.f64 (.f64 x.im x.im) (.f64 (pow.f64 x.im 4) 0)) (.f64 1/16 (pow.f64 x.im 6))))) (fma.f64 2/3 (.f64 (.f64 3/2 (.f64 x.im x.im)) (-.f64 (fma.f64 1/4 (pow.f64 x.im 4) (fma.f64 -1/8 (pow.f64 x.im 4) (.f64 1/4 (pow.f64 x.im 4)))) (.f64 1/3 (pow.f64 (.f64 3/2 (.f64 x.im x.im)) 2)))) (.f64 1/27 (pow.f64 (.f64 3/2 (*.f64 x.im x.im)) 3)))) (pow.f64 x.re 5))))))
(+.f64 (-.f64 (/.f64 (.f64 -1/2 (.f64 x.im x.im)) x.re) x.re) (.f64 -1/3 (+.f64 (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x.im 4) 3/8) 0) (.f64 (.f64 9/4 (pow.f64 x.im 4)) -1/3)) (pow.f64 x.re 3)) (/.f64 (+.f64 (.f64 (pow.f64 x.im 6) -1/8) (-.f64 (fma.f64 1/16 (pow.f64 x.im 6) (.f64 x.im (.f64 x.im 0))) (fma.f64 (.f64 2/3 (+.f64 (+.f64 (.f64 (pow.f64 x.im 4) 3/8) 0) (.f64 (.f64 9/4 (pow.f64 x.im 4)) -1/3))) (.f64 (.f64 x.im 3/2) x.im) (.f64 1/27 (pow.f64 (.f64 (.f64 x.im 3/2) x.im) 3))))) (pow.f64 x.re 5)))))
x.re
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (*.f64 1/2 x.re) x.re) (pow.f64 x.im 2)) (pow.f64 x.re 2))) x.re)
(fma.f64 1/3 (/.f64 (.f64 3/2 x.re) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) x.re)
(fma.f64 1/3 (.f64 (/.f64 (.f64 x.re 3/2) (.f64 x.re x.re)) (.f64 x.im x.im)) x.re)
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 1/2 x.re) x.re) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 x.re (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/8 (/.f64 1 x.re)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x.re) x.re) 2) (pow.f64 x.re 3))))) (pow.f64 x.im 4)) (pow.f64 x.re 2)))))
(+.f64 (fma.f64 1/3 (/.f64 (.f64 3/2 x.re) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) x.re) (.f64 1/3 (/.f64 (-.f64 (/.f64 1/2 x.re) (+.f64 (/.f64 1/8 x.re) (.f64 1/3 (/.f64 (pow.f64 (.f64 3/2 x.re) 2) (pow.f64 x.re 3))))) (/.f64 (*.f64 x.re x.re) (pow.f64 x.im 4)))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 x.re 3/2) (.f64 x.re x.re)) (.f64 x.im x.im)) (fma.f64 1/3 (/.f64 (pow.f64 x.im 4) (/.f64 (.f64 x.re x.re) (+.f64 (.f64 (/.f64 1 x.re) 3/8) (.f64 -1/3 (/.f64 (.f64 9/4 (*.f64 x.re x.re)) (pow.f64 x.re 3)))))) x.re))
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 1/2 x.re) x.re) (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/16 (/.f64 1 (pow.f64 x.re 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x.re 3))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/8 (/.f64 1 x.re)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.re) x.re) 2) (pow.f64 x.re 3))))) (+.f64 (.f64 1/2 x.re) x.re)) (pow.f64 x.re 3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.re) x.re) 3) (pow.f64 x.re 6)))))) (pow.f64 x.im 6)) (pow.f64 x.re 2))) (+.f64 x.re (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/8 (/.f64 1 x.re)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x.re) x.re) 2) (pow.f64 x.re 3))))) (pow.f64 x.im 4)) (pow.f64 x.re 2))))))
(fma.f64 1/3 (/.f64 (.f64 3/2 x.re) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x.re 3)) (+.f64 (/.f64 1/8 (pow.f64 x.re 3)) (fma.f64 2/3 (/.f64 (-.f64 (/.f64 1/2 x.re) (+.f64 (/.f64 1/8 x.re) (.f64 1/3 (/.f64 (pow.f64 (.f64 3/2 x.re) 2) (pow.f64 x.re 3))))) (/.f64 (pow.f64 x.re 3) (.f64 3/2 x.re))) (.f64 1/27 (/.f64 (pow.f64 (.f64 3/2 x.re) 3) (pow.f64 x.re 6)))))) (/.f64 (.f64 x.re x.re) (pow.f64 x.im 6))) (+.f64 x.re (.f64 1/3 (/.f64 (-.f64 (/.f64 1/2 x.re) (+.f64 (/.f64 1/8 x.re) (.f64 1/3 (/.f64 (pow.f64 (.f64 3/2 x.re) 2) (pow.f64 x.re 3))))) (/.f64 (*.f64 x.re x.re) (pow.f64 x.im 4)))))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 x.re 3/2) (.f64 x.re x.re)) (.f64 x.im x.im)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 x.im 6) x.re) (/.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 x.re 3)) -1/16) (fma.f64 2/3 (.f64 (/.f64 (+.f64 (.f64 (/.f64 1 x.re) 3/8) (.f64 -1/3 (/.f64 (.f64 9/4 (.f64 x.re x.re)) (pow.f64 x.re 3)))) (pow.f64 x.re 3)) (.f64 x.re 3/2)) (.f64 1/27 (/.f64 (.f64 27/8 (pow.f64 x.re 3)) (pow.f64 x.re 6))))) x.re)) (fma.f64 1/3 (/.f64 (pow.f64 x.im 4) (/.f64 (.f64 x.re x.re) (+.f64 (.f64 (/.f64 1 x.re) 3/8) (.f64 -1/3 (/.f64 (.f64 9/4 (*.f64 x.re x.re)) (pow.f64 x.re 3)))))) x.re)))
x.im
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) x.im)) x.im)
(fma.f64 1/3 (/.f64 (.f64 3/2 (.f64 x.re x.re)) x.im) x.im)
(+.f64 x.im (/.f64 (.f64 (.f64 x.re x.re) 1/2) x.im))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) x.im)) (+.f64 x.im (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (*.f64 1/2 (pow.f64 x.re 2))) 2))) (pow.f64 x.im 3)))))
(+.f64 (fma.f64 1/3 (/.f64 (.f64 3/2 (.f64 x.re x.re)) x.im) x.im) (.f64 1/3 (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 x.re 4) (fma.f64 1/4 (pow.f64 x.re 4) (.f64 (pow.f64 x.re 4) -3/8))) (.f64 -1/3 (pow.f64 (.f64 3/2 (*.f64 x.re x.re)) 2))) (pow.f64 x.im 3))))
(+.f64 (/.f64 (.f64 (.f64 x.re x.re) 1/2) x.im) (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 x.re 4) (.f64 (pow.f64 x.re 4) -1/8)) (.f64 -1/3 (*.f64 9/4 (pow.f64 x.re 4)))) (pow.f64 x.im 3)) x.im))
(+.f64 (/.f64 (.f64 (.f64 x.re x.re) 1/2) x.im) (fma.f64 1/3 (/.f64 (fma.f64 1/2 (pow.f64 x.re 4) (fma.f64 (pow.f64 x.re 4) -1/8 (.f64 -1/3 (.f64 9/4 (pow.f64 x.re 4))))) (pow.f64 x.im 3)) x.im))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/4 (pow.f64 x.re 6)) (+.f64 (.f64 1/8 (pow.f64 x.re 6)) (+.f64 (.f64 1/16 (pow.f64 x.re 6)) (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 1/4 (pow.f64 x.re 4))) (pow.f64 x.re 2)))))) (+.f64 (.f64 1/27 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 3)) (.f64 2/3 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2))) (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))))))) (pow.f64 x.im 5))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) x.im)) (+.f64 x.im (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2))) (pow.f64 x.im 3))))))
(fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -1/4 (pow.f64 x.re 6) (fma.f64 1/8 (pow.f64 x.re 6) (fma.f64 1/16 (pow.f64 x.re 6) (.f64 1/2 (.f64 (.f64 x.re x.re) (.f64 (pow.f64 x.re 4) 0)))))) (fma.f64 1/27 (pow.f64 (.f64 3/2 (.f64 x.re x.re)) 3) (.f64 2/3 (.f64 (.f64 3/2 (.f64 x.re x.re)) (+.f64 (fma.f64 1/2 (pow.f64 x.re 4) (fma.f64 1/4 (pow.f64 x.re 4) (.f64 (pow.f64 x.re 4) -3/8))) (.f64 -1/3 (pow.f64 (.f64 3/2 (.f64 x.re x.re)) 2))))))) (pow.f64 x.im 5)) (+.f64 (fma.f64 1/3 (/.f64 (.f64 3/2 (.f64 x.re x.re)) x.im) x.im) (.f64 1/3 (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 x.re 4) (fma.f64 1/4 (pow.f64 x.re 4) (.f64 (pow.f64 x.re 4) -3/8))) (.f64 -1/3 (pow.f64 (.f64 3/2 (*.f64 x.re x.re)) 2))) (pow.f64 x.im 3)))))
(fma.f64 1/3 (/.f64 (+.f64 (.f64 (pow.f64 x.re 6) -1/8) (-.f64 (fma.f64 (pow.f64 x.re 6) 1/16 (.f64 x.re (.f64 x.re 0))) (fma.f64 2/3 (.f64 (.f64 (.f64 x.re x.re) 3/2) (+.f64 (fma.f64 1/2 (pow.f64 x.re 4) (.f64 (pow.f64 x.re 4) -1/8)) (.f64 -1/3 (.f64 9/4 (pow.f64 x.re 4))))) (.f64 1/27 (.f64 27/8 (pow.f64 (.f64 x.re x.re) 3)))))) (pow.f64 x.im 5)) (+.f64 (/.f64 (.f64 (.f64 x.re x.re) 1/2) x.im) (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 x.re 4) (.f64 (pow.f64 x.re 4) -1/8)) (.f64 -1/3 (*.f64 9/4 (pow.f64 x.re 4)))) (pow.f64 x.im 3)) x.im)))
(fma.f64 1/3 (/.f64 (+.f64 (.f64 (pow.f64 x.re 6) -1/8) (-.f64 (fma.f64 (pow.f64 x.re 6) 1/16 (.f64 x.re (.f64 x.re 0))) (fma.f64 2/3 (.f64 (.f64 (.f64 x.re x.re) 3/2) (fma.f64 1/2 (pow.f64 x.re 4) (fma.f64 (pow.f64 x.re 4) -1/8 (.f64 -1/3 (.f64 9/4 (pow.f64 x.re 4)))))) (.f64 1/27 (.f64 27/8 (pow.f64 (.f64 x.re x.re) 3)))))) (pow.f64 x.im 5)) (+.f64 (/.f64 (.f64 (.f64 x.re x.re) 1/2) x.im) (fma.f64 1/3 (/.f64 (fma.f64 1/2 (pow.f64 x.re 4) (fma.f64 (pow.f64 x.re 4) -1/8 (.f64 -1/3 (*.f64 9/4 (pow.f64 x.re 4))))) (pow.f64 x.im 3)) x.im)))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) x.im)) (*.f64 -1 x.im))
(fma.f64 -1/3 (/.f64 (.f64 3/2 (.f64 x.re x.re)) x.im) (neg.f64 x.im))
(-.f64 (/.f64 (.f64 -1/2 (.f64 x.re x.re)) x.im) x.im)
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) x.im)) (+.f64 (.f64 -1 x.im) (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x.re 4)) (+.f64 (.f64 1/4 (pow.f64 x.re 4)) (+.f64 (.f64 -1/4 (pow.f64 x.re 4)) (.f64 -1/8 (pow.f64 x.re 4))))) (.f64 1/3 (pow.f64 (+.f64 (pow.f64 x.re 2) (.f64 1/2 (pow.f64 x.re 2))) 2))) (pow.f64 x.im 3)))))
(fma.f64 -1/3 (/.f64 (.f64 3/2 (.f64 x.re x.re)) x.im) (fma.f64 -1 x.im (.f64 -1/3 (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 x.re 4) (fma.f64 1/4 (pow.f64 x.re 4) (.f64 (pow.f64 x.re 4) -3/8))) (.f64 -1/3 (pow.f64 (.f64 3/2 (*.f64 x.re x.re)) 2))) (pow.f64 x.im 3)))))
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(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im)))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2)))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (fma.f64 -1/6 (.f64 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 y.re (pow.f64 (atan2.f64 x.im x.re) 2)))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (fma.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 3))))))
(sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))

eval3.1s (6.4%)

Compiler: Compiled 71410 to 39480 computations (44.7% saved)

prune298.0ms (0.6%)

Pruning

75 alts after pruning (75 fresh and 0 done)

	Pruned	Kept	Total
New	897	38	935
Fresh	20	37	57
Picked	1	0	1
Done	4	0	4
Total	922	75	997

Error

3.1b

Counts

997 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	(.f64 (/.f64 (pow.f64 x.im y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	60.2b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
	57.2b	(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (.f64 x.im (/.f64 x.im x.re)) x.re))))
	21.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3))
	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))) (pow.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2))
	20.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)) 3))
	37.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 1/6) 6)) 3))
	48.7b	(sin.f64 (.f64 y.im (log.f64 (exp.f64 (.f64 (*.f64 3 (log.f64 (hypot.f64 x.im x.re))) 1/3)))))
	45.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))))
	53.4b	(.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))
	57.3b	(sin.f64 (exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	61.0b	(sin.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) y.im) (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
	52.9b	(sin.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3) 1/3))
	44.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	21.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	50.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 x.im))))
	49.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3) 1/3)))
	46.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (sin.f64 1)))) 3))
	48.9b	(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)
	57.5b	(sin.f64 (.f64 y.im (log.f64 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))))
	37.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2/3) 3))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	45.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	61.8b	(sin.f64 (fma.f64 y.im (log.f64 x.im) (.f64 (/.f64 1/2 (.f64 x.im x.im)) (.f64 y.im (.f64 x.re x.re)))))
	49.6b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	20.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) 2) 3/2) 3))
	56.8b	(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2)
	49.1b	(sin.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3))
	52.1b	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2))
	39.2b	(.f64 (/.f64 (pow.f64 x.re y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	59.9b	(sin.f64 (.f64 y.im (log.f64 (-.f64 (/.f64 (.f64 x.im x.im) (/.f64 x.re -1/2)) x.re))))
	61.4b	(sin.f64 (.f64 y.im (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im))))
	54.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (pow.f64 (exp.f64 (.f64 3 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 1/3)))
	42.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (cbrt.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))) 1) (pow.f64 y.im 3)))))
	47.6b	(-.f64 (+.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1)
	47.6b	(log.f64 (exp.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	36.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 (cbrt.f64 (pow.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)))))))
	39.6b	(.f64 (/.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	57.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (pow.f64 (pow.f64 (.f64 y.im (log.f64 x.im)) 3) 1/3)))
	59.2b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
	42.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) 3))
	47.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))))
	32.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sin.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (.f64 y.im y.im))) (cbrt.f64 y.im))))
	29.2b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	27.5b	(/.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)))
	49.4b	(sin.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) 3)))
	27.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) 2)) (cbrt.f64 y.im))))
	45.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	48.4b	(.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re))
	60.3b	(sin.f64 (-.f64 (.f64 (/.f64 (.f64 1/2 y.im) (.f64 x.re x.re)) (.f64 x.im x.im)) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))
	35.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (.f64 (*.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))
	52.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3))))
	48.6b	(sin.f64 (*.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 3))))
	51.6b	(sin.f64 (*.f64 y.im (log.f64 (-.f64 (+.f64 1 (hypot.f64 x.im x.re)) 1))))
	43.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
	48.4b	(.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (pow.f64 x.re y.re))
	60.7b	(sin.f64 (*.f64 y.im (log.f64 x.im)))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	16.8b	(/.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)))
	27.5b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
	27.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (sin.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))))
	48.7b	(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	16.8b	(.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
	36.9b	(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 -1/2 (/.f64 x.re (.f64 x.im x.im))) x.re) y.re) 1) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	16.8b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 1 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))
	27.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	60.9b	(sin.f64 (.f64 y.im (log.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im))))
	49.3b	(sin.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3) (pow.f64 y.im 3))))
	60.5b	(sin.f64 (*.f64 y.im (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) 3) 1/3))))
	39.2b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
	46.4b	(.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))) (pow.f64 (exp.f64 (neg.f64 y.re)) (log.f64 (/.f64 -1 x.im))))
	44.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log1p.f64 (expm1.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))))
	56.8b	(sin.f64 (*.f64 y.im (log.f64 x.re)))
	38.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	50.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))

Compiler

Compiled 1695 to 1103 computations (34.9% saved)

regimes1.3s (2.7%)

Counts

156 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

526.0ms	y.im
302.0ms	y.re
126.0ms	x.im
122.0ms	x.re
88.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
8.1b	1	`x.re`
8.1b	1	`x.im`
4.1b	3	`y.re`
5.5b	3	`y.im`
5.5b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 3773 to 920 computations (75.6% saved)

bsearch68.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	0.014178889925806909	111851636.83320953
61.0ms	-8.823557581201832e-9	-4.155645041187549e-11

Compiler

Compiled 108 to 59 computations (45.4% saved)

regimes660.0ms (1.4%)

Counts

113 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

204.0ms	y.re
203.0ms	y.im
75.0ms	x.re
75.0ms	x.im
53.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
8.1b	1	`x.re`
8.1b	1	`x.im`
4.1b	3	`y.re`
5.6b	3	`y.im`
5.6b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2143 to 594 computations (72.3% saved)

bsearch271.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	0.014178889925806909	111851636.83320953
265.0ms	-79637453149297.42	-134182337055.28969

Compiler

Compiled 588 to 331 computations (43.7% saved)

regimes1.4s (3%)

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

481.0ms	x.re
382.0ms	y.re
268.0ms	y.im
229.0ms	x.im
46.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
11.3b	7	`x.re`
12.8b	4	`x.im`
9.2b	6	`y.re`
6.6b	3	`y.im`
9.1b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1706 to 516 computations (69.8% saved)

bsearch366.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
264.0ms	10932044.276489004	57689316393.56774
101.0ms	-2.749664637614021e+27	-1.683784475377016e+26

Compiler

Compiled 970 to 564 computations (41.9% saved)

regimes2.4s (5%)

Counts

85 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

780.0ms	x.re
632.0ms	x.im
547.0ms	y.re
386.0ms	y.im

Results

Error	Segments	Branch
11.6b	7	`x.re`
13.2b	4	`x.im`
9.2b	6	`y.re`
6.6b	3	`y.im`

Compiler

Compiled 1384 to 437 computations (68.4% saved)

bsearch228.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
120.0ms	10932044.276489004	57689316393.56774
108.0ms	-2.749664637614021e+27	-1.683784475377016e+26

Compiler

Compiled 850 to 504 computations (40.7% saved)

regimes1.6s (3.3%)

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

450.0ms	x.re
388.0ms	y.im
362.0ms	y.re
249.0ms	x.im

Results

Error	Segments	Branch
12.3b	7	`x.re`
14.5b	2	`x.im`
9.3b	6	`y.re`
6.7b	3	`y.im`

Compiler

Compiled 1108 to 387 computations (65.1% saved)

bsearch392.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
156.0ms	10932044.276489004	57689316393.56774
228.0ms	-2.749664637614021e+27	-1.683784475377016e+26

Compiler

Compiled 843 to 490 computations (41.9% saved)

regimes1.8s (3.7%)

Counts

63 → 5

Calls

Call 1

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

Calls

4 calls:

530.0ms	y.im
402.0ms	y.re
390.0ms	x.re
282.0ms	x.im

Results

Error	Segments	Branch
16.9b	3	`x.re`
18.4b	3	`x.im`
13.0b	5	`y.re`
13.6b	5	`y.im`

Compiler

Compiled 895 to 342 computations (61.8% saved)

bsearch362.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
5.0ms	0.014178889925806909	111851636.83320953
67.0ms	2.695932303530782e-159	4.127900398104424e-155
66.0ms	-3.833862264261435e-203	-1.1879706829740403e-205
224.0ms	-79637453149297.42	-134182337055.28969

Compiler

Compiled 534 to 313 computations (41.4% saved)

regimes679.0ms (1.4%)

Counts

56 → 5

Calls

Call 1

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

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

Calls

4 calls:

215.0ms	y.im
171.0ms	y.re
142.0ms	x.im
127.0ms	x.re

Results

Error	Segments	Branch
16.9b	3	`x.re`
18.8b	3	`x.im`
14.5b	5	`y.re`
14.8b	5	`y.im`

Compiler

Compiled 774 to 314 computations (59.4% saved)

bsearch484.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
5.0ms	0.014178889925806909	111851636.83320953
59.0ms	2.695932303530782e-159	4.127900398104424e-155
101.0ms	-3.833862264261435e-203	-1.1879706829740403e-205
318.0ms	-3.3923098643921166e+87	-2.285092852195439e+86

Compiler

Compiled 336 to 196 computations (41.7% saved)

regimes772.0ms (1.6%)

Counts

53 → 5

Calls

Call 1

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

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

Calls

4 calls:

221.0ms	x.re
193.0ms	y.im
192.0ms	x.im
147.0ms	y.re

Results

Error	Segments	Branch
19.5b	5	`x.re`
17.8b	6	`x.im`
18.8b	5	`y.re`
14.8b	5	`y.im`

Compiler

Compiled 712 to 295 computations (58.6% saved)

bsearch285.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
97.0ms	10932044.276489004	57689316393.56774
54.0ms	4.0616349600219117e-171	5.627139266643117e-168
72.0ms	-1.0386495720004931e-153	-2.804830040992513e-155
62.0ms	-411298.913539476	-1.155808653530445e-5

Compiler

Compiled 376 to 225 computations (40.2% saved)

regimes855.0ms (1.8%)

Counts

46 → 5

Calls

Call 1

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

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

Calls

4 calls:

264.0ms	y.re
214.0ms	x.re
208.0ms	x.im
152.0ms	y.im

Results

Error	Segments	Branch
23.0b	4	`x.re`
22.7b	3	`x.im`
19.1b	7	`y.re`
18.3b	5	`y.im`

Compiler

Compiled 576 to 244 computations (57.6% saved)

bsearch404.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
113.0ms	10932044.276489004	57689316393.56774
60.0ms	4.0616349600219117e-171	5.627139266643117e-168
89.0ms	-1.0386495720004931e-153	-2.804830040992513e-155
141.0ms	-1.683784475377016e+26	-9429843224356376.0

Compiler

Compiled 796 to 485 computations (39.1% saved)

regimes807.0ms (1.7%)

Counts

44 → 5

Calls

Call 1

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

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

Calls

4 calls:

310.0ms	y.re
223.0ms	x.re
159.0ms	y.im
100.0ms	x.im

Results

Error	Segments	Branch
22.7b	5	`x.re`
23.8b	2	`x.im`
19.2b	7	`y.re`
18.8b	5	`y.im`

Compiler

Compiled 540 to 239 computations (55.7% saved)

bsearch429.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
225.0ms	10932044.276489004	57689316393.56774
54.0ms	4.0616349600219117e-171	5.627139266643117e-168
52.0ms	-1.0386495720004931e-153	-2.804830040992513e-155
98.0ms	-2.749664637614021e+27	-1.683784475377016e+26

Compiler

Compiled 691 to 435 computations (37% saved)

regimes821.0ms (1.7%)

Counts

41 → 7

Calls

Call 1

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

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

Calls

4 calls:

271.0ms	y.re
259.0ms	y.im
229.0ms	x.re
47.0ms	x.im

Results

Error	Segments	Branch
22.8b	5	`x.re`
24.4b	2	`x.im`
19.2b	7	`y.re`
19.2b	5	`y.im`

Compiler

Compiled 496 to 227 computations (54.2% saved)

bsearch344.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
56.0ms	2.0599994730395986e-75	1.068769015551581e-74
56.0ms	3.1964462484204797e-86	3.82446282681336e-79
55.0ms	6.16554716068044e-112	7.815875079378626e-112
57.0ms	-3.833862264261435e-203	-1.1879706829740403e-205
57.0ms	-5.99641231983366e-115	-5.967948188871874e-117
62.0ms	-1.916570742622494e-47	-3.460697707683259e-56

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes461.0ms (1%)

Counts

40 → 7

Calls

Call 1

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

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

Calls

4 calls:

142.0ms	y.re
131.0ms	y.im
129.0ms	x.re
45.0ms	x.im

Results

Error	Segments	Branch
22.8b	5	`x.re`
24.4b	2	`x.im`
19.2b	7	`y.re`
19.2b	5	`y.im`

Compiler

Compiled 483 to 219 computations (54.7% saved)

bsearch574.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
156.0ms	2.0599994730395986e-75	1.068769015551581e-74
68.0ms	3.1964462484204797e-86	3.82446282681336e-79
106.0ms	6.16554716068044e-112	7.815875079378626e-112
128.0ms	-3.833862264261435e-203	-1.1879706829740403e-205
58.0ms	-5.99641231983366e-115	-5.967948188871874e-117
57.0ms	-1.916570742622494e-47	-3.460697707683259e-56

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes757.0ms (1.6%)

Counts

36 → 7

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 -1/2 (/.f64 x.re (.f64 x.im x.im))) x.re) y.re) 1) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Calls

4 calls:

327.0ms	y.re
172.0ms	x.re
168.0ms	y.im
42.0ms	x.im

Results

Error	Segments	Branch
22.8b	5	`x.re`
24.4b	2	`x.im`
19.2b	7	`y.re`
19.2b	5	`y.im`

Compiler

Compiled 439 to 192 computations (56.3% saved)

bsearch449.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
99.0ms	2.0599994730395986e-75	1.068769015551581e-74
68.0ms	3.1964462484204797e-86	3.82446282681336e-79
66.0ms	6.16554716068044e-112	7.815875079378626e-112
86.0ms	-3.833862264261435e-203	-1.1879706829740403e-205
70.0ms	-5.99641231983366e-115	-5.967948188871874e-117
60.0ms	-1.916570742622494e-47	-3.460697707683259e-56

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes521.0ms (1.1%)

Counts

30 → 7

Calls

Call 1

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

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

Calls

4 calls:

143.0ms	y.re
134.0ms	y.im
122.0ms	x.re
99.0ms	x.im

Results

Error	Segments	Branch
22.8b	5	`x.re`
24.4b	2	`x.im`
19.2b	7	`y.re`
19.2b	5	`y.im`

Compiler

Compiled 380 to 173 computations (54.5% saved)

bsearch605.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
71.0ms	2.0599994730395986e-75	1.068769015551581e-74
55.0ms	3.1964462484204797e-86	3.82446282681336e-79
55.0ms	6.16554716068044e-112	7.815875079378626e-112
240.0ms	-3.833862264261435e-203	-1.1879706829740403e-205
81.0ms	-5.99641231983366e-115	-5.967948188871874e-117
102.0ms	-1.916570742622494e-47	-3.460697707683259e-56

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes367.0ms (0.8%)

Counts

27 → 5

Calls

Call 1

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

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

Calls

4 calls:

161.0ms	y.im
84.0ms	x.re
67.0ms	y.re
44.0ms	x.im

Results

Error	Segments	Branch
22.8b	5	`x.re`
24.4b	2	`x.im`
20.6b	5	`y.re`
20.9b	4	`y.im`

Compiler

Compiled 341 to 160 computations (53.1% saved)

bsearch230.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
56.0ms	2.0599994730395986e-75	1.068769015551581e-74
58.0ms	3.1964462484204797e-86	3.82446282681336e-79
58.0ms	6.16554716068044e-112	7.815875079378626e-112
57.0ms	-3.833862264261435e-203	-1.1879706829740403e-205

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes380.0ms (0.8%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

179.0ms	x.re
93.0ms	y.re
59.0ms	y.im
40.0ms	x.im

Results

Error	Segments	Branch
22.8b	5	`x.re`
25.3b	2	`x.im`
21.7b	3	`y.re`
24.5b	3	`y.im`

Compiler

Compiled 324 to 155 computations (52.2% saved)

bsearch224.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	6.123693673871671e-125	6.16554716068044e-112
70.0ms	-3.833862264261435e-203	-1.1879706829740403e-205

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes63.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

Outputs
(.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))

Calls

4 calls:

19.0ms	x.im
13.0ms	y.re
11.0ms	x.re
11.0ms	y.im

Results

Error	Segments	Branch
28.3b	1	`x.re`
28.3b	1	`x.im`
28.3b	1	`y.re`
28.3b	1	`y.im`

Compiler

Compiled 228 to 125 computations (45.2% saved)

regimes216.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	x.im
65.0ms	y.im
39.0ms	x.re
31.0ms	y.re

Results

Error	Segments	Branch
38.9b	3	`x.re`
40.9b	3	`x.im`
35.8b	3	`y.re`
41.9b	4	`y.im`

Compiler

Compiled 216 to 122 computations (43.5% saved)

bsearch235.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	0.014178889925806909	111851636.83320953
189.0ms	-134182337055.28969	-97382.44366366863

Compiler

Compiled 560 to 413 computations (26.3% saved)

regimes219.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	y.im
58.0ms	x.im
52.0ms	y.re
43.0ms	x.re

Results

Error	Segments	Branch
40.0b	3	`x.re`
42.2b	3	`x.im`
40.7b	3	`y.re`
43.8b	5	`y.im`

Compiler

Compiled 122 to 72 computations (41% saved)

bsearch1.2s (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
539.0ms	9.149418076581977e-303	2.2341524909142032e-282
630.0ms	-3.468908123799117e-6	-4.809775007024761e-15

Compiler

Compiled 590 to 416 computations (29.5% saved)

regimes115.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	y.im
26.0ms	x.re
21.0ms	y.re
13.0ms	x.im

Results

Error	Segments	Branch
46.3b	3	`x.re`
44.6b	2	`x.im`
41.9b	3	`y.re`
47.3b	2	`y.im`

Compiler

Compiled 113 to 68 computations (39.8% saved)

bsearch355.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	22677705357891478000.0	7.575128145418601e+25
269.0ms	-134182337055.28969	-97382.44366366863

Compiler

Compiled 516 to 367 computations (28.9% saved)

regimes29.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
48.7b	1	`x.re`
48.7b	1	`x.im`
48.7b	1	`y.re`
48.7b	1	`y.im`

Compiler

Compiled 104 to 64 computations (38.5% saved)

regimes60.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	x.im
6.0ms	x.re
6.0ms	y.im
6.0ms	y.re

Results

Error	Segments	Branch
49.6b	1	`x.re`
49.6b	1	`x.im`
49.6b	1	`y.re`
49.6b	1	`y.im`

Compiler

Compiled 97 to 63 computations (35.1% saved)

regimes27.0ms (0.1%)

Accuracy

Total -9.1b remaining (-16.6%)

Threshold costs -9.1b (-16.6%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(sin.f64 (*.f64 y.im (log.f64 x.im)))
(sin.f64 (*.f64 y.im (log.f64 x.re)))

Calls

4 calls:

10.0ms	x.re
8.0ms	x.im
4.0ms	y.re
4.0ms	y.im

Results

Error	Segments	Branch
54.9b	2	`x.re`
55.2b	2	`x.im`
56.8b	1	`y.re`
56.8b	1	`y.im`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch471.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
471.0ms	9.149418076581977e-303	2.2341524909142032e-282

Compiler

Compiled 268 to 201 computations (25% saved)

simplify126.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`cancel-sign-sub-inv_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2454
1	267	2454
2	291	2454
3	301	2454
4	306	2454
5	307	2454

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -1132462080000000000/8388608) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 478150656000000000/8388608) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 478150656000000000/8388608) (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 478150656000000000/8388608) (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
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(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(if (<=.f64 x.re 7103350564679175/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (sin.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))
(sin.f64 (*.f64 y.im (log.f64 x.im)))

Outputs
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -2666756645192825/302231454903657293676544) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) 3))) (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -1132462080000000000/8388608) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -135000000000) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 478150656000000000/8388608) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (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))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 57000000000) (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) 1))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 478150656000000000/8388608) (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.im 57000000000) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 478150656000000000/8388608) (.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -2699999999999999733510701056) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 57000000000) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -1132462080000000000/8388608) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re -13858407104049901568/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 5334288151812639/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (sin.f64 (.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 3)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.re -135000000000) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re -3383400171887183/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 5334288151812639/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (sin.f64 (.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 3)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.re -229999999999999989561567209474093222253598162654819758731862536708280053452715642060800) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re))) (if (<=.f64 y.re -13858407104049901568/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 5334288151812639/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (sin.f64 (.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 3)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (/.f64 (pow.f64 x.re y.re) 1) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(if (<=.f64 y.re -229999999999999989561567209474093222253598162654819758731862536708280053452715642060800) (.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re))) (if (<=.f64 y.re -3383400171887183/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 5334288151812639/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (sin.f64 (.f64 y.im (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) 3)))) (if (<=.f64 y.re 1) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 x.re y.re))))))
(if (<=.f64 y.im -1766515382532381/4294967296) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -3919824457286837/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re))) (if (<=.f64 y.im 2209063567585739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 478150656000000000/8388608) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.im -1766515382532381/4294967296) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.im -3919824457286837/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re))) (if (<=.f64 y.im 2209063567585739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.im 57000000000) (/.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))))))
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(if (<=.f64 y.re -7884314728534505/411376139330301510538742295639337626245683966408394965837152256) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re -415651767816387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (-.f64 (/.f64 -1/2 (/.f64 x.re (.f64 x.im x.im))) x.re) y.re)) (if (<=.f64 y.re -3383400171887183/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re 3338872218767831/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re 8949029598192171/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 8392586075623491/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))))))
(if (<=.f64 y.re -13858407104049901568/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 3338872218767831/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re 8949029598192171/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 8392586075623491/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
(if (<=.f64 y.re -3383400171887183/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re 3338872218767831/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 y.re 8949029598192171/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 8392586075623491/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))))
(if (<=.f64 y.re -13858407104049901568/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 729241632422947/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -3383400171887183/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re 729241632422947/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.im (pow.f64 (hypot.f64 x.im x.re) y.re)))
(if (<=.f64 y.re -276824064000000000/2097152) (-.f64 (+.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 1) (if (<=.f64 y.re 110000000) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (pow.f64 x.re y.re))))
(if (<=.f64 y.re -132000000000) (+.f64 (+.f64 1 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) -1) (if (<=.f64 y.re 110000000) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (pow.f64 x.re y.re) (sin.f64 (.f64 y.im (log.f64 x.re))))))
(if (<=.f64 x.re -6338253001141147/1267650600228229401496703205376) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 x.re 26066550455503580/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)) (.f64 (sin.f64 (*.f64 (log.f64 x.re) y.im)) (pow.f64 x.re y.re))))
(if (<=.f64 x.re -6338253001141147/1267650600228229401496703205376) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (if (<=.f64 x.re 6516637613875895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (.f64 (pow.f64 x.re y.re) (sin.f64 (*.f64 y.im (log.f64 x.re))))))
(if (<=.f64 y.re -276824064000000000/2097152) (.f64 (sin.f64 (.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 74999999999999999278579712) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (*.f64 (log.f64 x.im) y.im)) (pow.f64 x.im y.re))))
(if (<=.f64 y.re -132000000000) (.f64 (sin.f64 (.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (if (<=.f64 y.re 74999999999999999278579712) (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re))))
(sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(if (<=.f64 x.re 7103350564679175/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (sin.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))
(sin.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 1695 to 735 computations (56.6% saved)

soundness149.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 291 to 151 computations (48.1% saved)

end409.0ms (0.9%)

Compiler: Compiled 1603 to 340 computations (78.8% saved)