Details

analyze719.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample6.0s (16%)

Results

2.5s	7897×	body	256	valid
2.2s	2536×	body	1024	invalid
756.0ms	1058×	body	512	invalid
253.0ms	1013×	body	256	invalid
134.0ms	178×	body	1024	valid
90.0ms	169×	body	512	valid
42.0ms	32×	body	2048	invalid
14.0ms	12×	body	2048	valid

preprocess226.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

5.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

Status

Error

Program

▶

33.9b

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

▶

8.7b

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

localize59.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	32.7b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series48.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
12.0ms	y.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite198.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify194.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

230 → 202

Calls

Call 1

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

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

localize60.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	32.7b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series398.0ms (1.1%)

Counts

4 → 68

Calls

36 calls:

Time	Variable		Point	Expression
115.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
72.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
69.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
49.0ms	x.re	@	-inf	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
28.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify188.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

175 → 173

Calls

Call 1

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

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

eval664.0ms (1.8%)

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

prune343.0ms (0.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	411	26	437
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	413	26	439

Error

4.1b

Counts

439 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	35.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	18.2b	(.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1))))
	37.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
	30.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	18.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	18.2b	(.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))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	17.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	8.7b	(.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	18.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
▶	50.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	9.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	18.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 2)))
▶	18.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	23.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
▶	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	43.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	18.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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))))
	39.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 1844 to 1040 computations (43.6% saved)

localize51.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	32.7b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 99 to 15 computations (84.8% saved)

series11.0ms (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	y.re	@	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	y.im	@	-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)))

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify129.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 66

Calls

Call 1

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

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.0b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series6.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite80.0ms (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)))))))))

simplify265.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

localize123.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.3b	(.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re))
✓	9.2b	(log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im))
	29.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	32.7b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 214 to 60 computations (72% saved)

series22.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x.re	@	0	(.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re))
2.0ms	x.im	@	0	(log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im))
1.0ms	x.re	@	inf	(log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im))
1.0ms	x.re	@	0	(log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im))
1.0ms	x.im	@	inf	(log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im))

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`prod-diff_binary64`
476×	`log-prod_binary64`
318×	`pow-prod-down_binary64`
289×	`fma-def_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	199	25
2	2659	25

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

759×	`associate-/r*_binary64`
513×	`associate-l_binary64`
450×	`associate-*l/_binary64`
434×	`fma-neg_binary64`
361×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1030
1	264	962
2	755	944
3	2790	944

Stop Event

1×	node limit

Counts

120 → 114

Calls

Call 1

Inputs
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im)))
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))))
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (.f64 -1 (log.f64 x.im)))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 -1 (log.f64 x.im))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.im))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.im))) (log.f64 -1))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.im))) (log.f64 -1)))))
(*.f64 -1 (log.f64 (/.f64 -1 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (.f64 -1 (log.f64 (/.f64 -1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(log.f64 (neg.f64 x.im))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (neg.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 (neg.f64 x.im)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 x.im))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (*.f64 -2 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (neg.f64 (.f64 1/2 (/.f64 1 x.im)))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))

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

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	32.7b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 187 to 22 computations (88.2% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

83 → 94

Calls

Call 1

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

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

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	0.8b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
✓	32.7b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 131 to 21 computations (84% saved)

series19.0ms (0%)

Counts

2 → 92

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x.im	@	inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
3.0ms	x.re	@	-inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
1.0ms	x.im	@	-inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
1.0ms	x.re	@	inf	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))
1.0ms	x.im	@	0	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

rewrite68.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	213	34
2	2498	34

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify107.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

451×	`associate-*l/_binary64`
447×	`associate-/r/_binary64`
387×	`associate-*r/_binary64`
312×	`fma-def_binary64`
288×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	4798
1	1057	4416
2	3987	4225

Stop Event

1×	node limit

Counts

163 → 177

Calls

Call 1

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

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

eval736.0ms (2%)

Compiler: Compiled 50267 to 17463 computations (65.3% saved)

prune546.0ms (1.4%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	997	33	1030
Fresh	18	3	21
Picked	1	0	1
Done	4	0	4
Total	1020	36	1056

Error

2.8b

Counts

1056 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	23.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (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)))))))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	22.9b	(.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 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
	37.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	24.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) 2))))) 3))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	36.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im))))))
▶	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	34.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (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)))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	35.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 3))
▶	18.6b	(.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))) 1)
	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))) 3))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 3))) 3))
	18.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))) 3))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
	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))) (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))))
	36.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	45.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1))))
	23.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))) (sin.f64 1)))) 3))
▶	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	38.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 3)) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 3))

Compiler

Compiled 2622 to 1458 computations (44.4% saved)

localize54.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(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)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	32.5b	(cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))

Compiler

Compiled 185 to 29 computations (84.3% saved)

series56.0ms (0.1%)

Counts

2 → 80

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	x.im	@	-inf	(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)
7.0ms	x.re	@	0	(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)
6.0ms	x.im	@	inf	(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)
6.0ms	x.re	@	inf	(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)
5.0ms	x.im	@	0	(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)

rewrite108.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`log-prod_binary64`
372×	`prod-diff_binary64`
364×	`pow-prod-down_binary64`
338×	`pow2_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	300	39
2	3152	39

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs

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

(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)

Outputs

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

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

simplify155.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-r_binary64`
560×	`fma-def_binary64`
490×	`associate-l_binary64`
341×	`associate-/l*_binary64`
323×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	632	8914
1	2147	8318

Stop Event

1×	node limit

Counts

128 → 177

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4))))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
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(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (pow.f64 y.re 3)) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 y.re 2)) (pow.f64 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) 1/3))))

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

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series71.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
33.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
11.0ms	x.im	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
4.0ms	x.re	@	-inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
2.0ms	x.re	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
2.0ms	x.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

rewrite125.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`log-prod_binary64`
589×	`fma-def_binary64`
289×	`fma-neg_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	323	27
2	4305	27

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify161.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

841×	`associate-/l*_binary64`
644×	`associate-/r*_binary64`
457×	`associate-*l/_binary64`
387×	`associate-*r/_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4165
1	926	3649
2	3271	3205

Stop Event

1×	node limit

Counts

128 → 150

Calls

Call 1

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

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

localize129.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	6.3b	(.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re))
	9.2b	(log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im))
✓	16.5b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 168 to 58 computations (65.5% saved)

series146.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
66.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
41.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
20.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
14.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

93 → 66

Calls

Call 1

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

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

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
	6.3b	(.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re))
	9.2b	(log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im))
	32.7b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 198 to 66 computations (66.7% saved)

localize73.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	0.8b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
✓	3.3b	(pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
✓	17.4b	(cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

Compiler

Compiled 180 to 46 computations (74.4% saved)

series106.0ms (0.3%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
15.0ms	y.re	@	-inf	(cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
11.0ms	x.re	@	inf	(cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
7.0ms	x.im	@	inf	(cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
7.0ms	x.im	@	-inf	(cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
6.0ms	x.re	@	-inf	(cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
356×	`pow-prod-down_binary64`
341×	`pow2_binary64`
292×	`prod-diff_binary64`
263×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	285	50
2	3032	50

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify252.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-def_binary64`
744×	`associate-/l*_binary64`
485×	`distribute-lft-in_binary64`
485×	`distribute-rgt-in_binary64`
396×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	926	18967
1	3440	15280

Stop Event

1×	node limit

Counts

292 → 335

Calls

Call 1

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

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

eval1.8s (4.8%)

Compiler: Compiled 80676 to 34565 computations (57.2% saved)

prune586.0ms (1.6%)

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	1224	32	1256
Fresh	13	18	31
Picked	1	0	1
Done	3	1	4
Total	1241	51	1292

Error

2.8b

Counts

1292 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	23.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (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)))))))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	22.9b	(.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 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1))))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))) 3))
	37.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
▶	35.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	10.5b	(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
	38.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (pow.f64 (exp.f64 1/2) (.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))))) 3))
	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	34.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (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)))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	34.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (exp.f64 (.f64 2/3 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	10.5b	(*.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re))) 1)
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))) 3)))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	21.6b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 3))
▶	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	39.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	18.0b	(.f64 (.f64 (+.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1) (pow.f64 (hypot.f64 x.im x.re) y.re)) 1)
	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	6.6b	(.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 2))) 3))
	18.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))))) 3))
▶	18.1b	(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
▶	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))) 3))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) 3))) 3))
	40.3b	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (/.f64 1/2 x.im) (/.f64 (.f64 x.re x.re) (/.f64 x.im y.re))) (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	10.5b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) 3) 1)
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	18.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (cbrt.f64 (.f64 y.im (.f64 y.im (pow.f64 (log.f64 (hypot.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)))))))
	38.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	36.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (exp.f64 (log.f64 y.im))))) 3))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 y.im) 2) (.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
✓	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.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) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	38.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 3)) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 3))
	36.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	51.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))))) 3))
	23.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1)))) 3))

Compiler

Compiled 3357 to 1981 computations (41% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x.re x.im)
✓	0.0b	(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	3.7b	(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))

Compiler

Compiled 71 to 14 computations (80.3% saved)

series71.0ms (0.2%)

Counts

3 → 104

Calls

27 calls:

Time	Variable		Point	Expression
18.0ms	y.re	@	-inf	(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
15.0ms	y.re	@	inf	(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
7.0ms	y.re	@	inf	(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
3.0ms	x.im	@	0	(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
2.0ms	x.re	@	0	(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`prod-diff_binary64`
628×	`log-prod_binary64`
293×	`fma-def_binary64`
229×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	251	31
2	3274	31

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

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

simplify186.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-def_binary64`
452×	`associate-r_binary64`
358×	`*-commutative_binary64`
352×	`associate-l_binary64`
271×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	6664
1	1601	5971
2	6425	5020

Stop Event

1×	node limit

Counts

195 → 234

Calls

Call 1

Inputs
(log.f64 (pow.f64 x.im y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (log.f64 (pow.f64 x.im y.re)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (log.f64 (pow.f64 x.im y.re))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 -360 (/.f64 (.f64 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 720 (+.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 30 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (pow.f64 x.re 6))) (log.f64 (pow.f64 x.im y.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (pow.f64 x.re 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (+.f64 (.f64 -360 (.f64 y.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)))) (pow.f64 x.im 2)))) (.f64 720 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re))))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (*.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (pow.f64 x.re 4))))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (pow.f64 x.re 4)))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (+.f64 (.f64 -360 (.f64 y.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)))) (pow.f64 x.im 2)))) (.f64 720 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re))))))) (pow.f64 x.re 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (*.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (pow.f64 x.re 4))))))
(log.f64 (pow.f64 x.re y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (log.f64 (pow.f64 x.re y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4))) (.f64 24 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))))) (pow.f64 x.im 4))) (log.f64 (pow.f64 x.re y.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4))) (.f64 24 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))))) (pow.f64 x.im 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 720 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 6))) (+.f64 (.f64 1/6 (/.f64 y.re (pow.f64 x.re 6))) (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.re 6)))))) (+.f64 (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y.re (pow.f64 x.re 4))) (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.re 4)))) y.re) (pow.f64 x.re 2))) (*.f64 30 (/.f64 (pow.f64 y.re 3) (pow.f64 x.re 6))))) (pow.f64 x.im 6))) (log.f64 (pow.f64 x.re y.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 1/24 (/.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))) (.f64 -3 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2)))) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 720 (+.f64 (.f64 1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 2))) (.f64 1/720 (.f64 y.re (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6)))))))) (+.f64 (.f64 30 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (.f64 -360 (.f64 (pow.f64 x.re 2) (.f64 y.re (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))))))) (pow.f64 x.im 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))) (.f64 -3 (*.f64 (pow.f64 x.re 4) (pow.f64 y.re 2)))) (pow.f64 x.im 4))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)) (.f64 1/24 (/.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))) (.f64 -3 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2)))) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 720 (+.f64 (.f64 1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 2))) (.f64 1/720 (.f64 y.re (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6)))))))) (+.f64 (.f64 30 (.f64 (pow.f64 x.re 6) (pow.f64 y.re 3))) (.f64 -360 (.f64 (pow.f64 x.re 2) (.f64 y.re (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))))))) (pow.f64 x.im 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)) (.f64 1/24 (/.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (.f64 (pow.f64 x.re 4) (pow.f64 y.re 2))) (.f64 -1/4 (.f64 (pow.f64 x.re 4) y.re)))) (.f64 -3 (*.f64 (pow.f64 x.re 4) (pow.f64 y.re 2)))) (pow.f64 x.im 4))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y.re 2) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (.f64 -1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (+.f64 (.f64 2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (.f64 -3 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y.re 2) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (.f64 -1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y.re 3) (+.f64 (.f64 2 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3) (.f64 -3 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y.re 2) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (.f64 -1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (+.f64 (.f64 12 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (+.f64 (.f64 -6 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (+.f64 (.f64 -3 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (.f64 -4 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)))))) (pow.f64 y.re 4))) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 1/24 (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.re (exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (.f64 (+.f64 (.f64 1/48 (/.f64 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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)))))) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (+.f64 (.f64 -360 (/.f64 (.f64 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 720 (+.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 30 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6)))))))) (exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (+.f64 (.f64 (pow.f64 x.re 4) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 1/24 (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))) (exp.f64 (-.f64 (log.f64 (pow.f64 x.im y.re)) (.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 1/24 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))))))))) (pow.f64 x.re 4)) (+.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (pow.f64 x.im 2))) (pow.f64 x.re 2)))))
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(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (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)))))

Outputs
(log.f64 (pow.f64 x.im y.re))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (log.f64 (pow.f64 x.im y.re)))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.re)) (*.f64 y.re (log.f64 x.im)))
(fma.f64 y.re (log.f64 x.im) (/.f64 (.f64 1/2 (.f64 x.re x.re)) (/.f64 x.im (/.f64 y.re x.im))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (log.f64 (pow.f64 x.im y.re))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 -3 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (/.f64 (.f64 1/8 (.f64 y.re y.re)) (pow.f64 x.im 4)))))) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.re)) (.f64 y.re (log.f64 x.im))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 -3 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (+.f64 (.f64 (/.f64 y.re (pow.f64 x.im 4)) -6) (.f64 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) 3)))) (fma.f64 y.re (log.f64 x.im) (/.f64 (.f64 1/2 (*.f64 x.re x.re)) (/.f64 x.im (/.f64 y.re x.im)))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 (/.f64 y.re (pow.f64 x.im 4)) -6) (.f64 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) 0))) (fma.f64 y.re (log.f64 x.im) (/.f64 (.f64 1/2 (*.f64 x.re x.re)) (/.f64 x.im (/.f64 y.re x.im)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -3 (/.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.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 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 -360 (/.f64 (.f64 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 720 (+.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 30 (/.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))))) (pow.f64 x.re 6))) (log.f64 (pow.f64 x.im y.re)))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 -3 (/.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (/.f64 (.f64 1/8 (.f64 y.re y.re)) (pow.f64 x.im 4)))))) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) y.re)) (fma.f64 1/720 (.f64 (fma.f64 -360 (/.f64 (.f64 y.re (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (/.f64 (.f64 1/8 (.f64 y.re y.re)) (pow.f64 x.im 4)))) (.f64 x.im x.im)) (fma.f64 720 (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 (.f64 30 (pow.f64 y.re 3)) (pow.f64 x.im 6)))) (pow.f64 x.re 6)) (.f64 y.re (log.f64 x.im)))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (fma.f64 -3 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) (+.f64 (.f64 (/.f64 y.re (pow.f64 x.im 4)) -6) (.f64 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) 3)))) (fma.f64 1/2 (.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 y.re x.im)) (fma.f64 1/720 (.f64 (fma.f64 -360 (.f64 (/.f64 y.re x.im) (/.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (/.f64 (.f64 (.f64 y.re y.re) 1/8) (pow.f64 x.im 4))) x.im)) (fma.f64 720 (fma.f64 -1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 6) y.re)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (/.f64 1/48 (/.f64 (pow.f64 x.im 6) (pow.f64 y.re 3))))) (/.f64 30 (/.f64 (pow.f64 x.im 6) (pow.f64 y.re 3))))) (pow.f64 x.re 6)) (*.f64 y.re (log.f64 x.im)))))
(fma.f64 1/24 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 (/.f64 y.re (pow.f64 x.im 4)) -6) (.f64 (/.f64 y.re (/.f64 (pow.f64 x.im 4) y.re)) 0))) (fma.f64 1/2 (.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 y.re x.im)) (fma.f64 1/720 (.f64 (fma.f64 -360 (.f64 (/.f64 y.re x.im) (/.f64 (fma.f64 -1/4 (/.f64 y.re (pow.f64 x.im 4)) (/.f64 (.f64 (.f64 y.re y.re) 1/8) (pow.f64 x.im 4))) x.im)) (fma.f64 720 (fma.f64 -1/8 (/.f64 y.re (/.f64 (pow.f64 x.im 6) y.re)) (fma.f64 1/6 (/.f64 y.re (pow.f64 x.im 6)) (/.f64 1/48 (/.f64 (pow.f64 x.im 6) (pow.f64 y.re 3))))) (/.f64 30 (/.f64 (pow.f64 x.im 6) (pow.f64 y.re 3))))) (pow.f64 x.re 6)) (*.f64 y.re (log.f64 x.im)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))
(*.f64 y.re (neg.f64 (neg.f64 (log.f64 x.re))))
(log.f64 (pow.f64 x.re y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(fma.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 1/2 x.im) x.im) y.re) (.f64 x.re x.re)) (neg.f64 (log.f64 (pow.f64 x.re y.re))))
(fma.f64 y.re (log.f64 x.re) (/.f64 (.f64 (.f64 (.f64 1/2 x.im) x.im) y.re) (.f64 x.re x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (pow.f64 x.re 4)))))
(fma.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 -1 (.f64 y.re (neg.f64 (log.f64 x.re))) (.f64 1/24 (/.f64 (fma.f64 -3 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 (.f64 1/8 (*.f64 y.re y.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 4)))))
(fma.f64 1/2 (.f64 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 y.re x.re)) (-.f64 (/.f64 (+.f64 (.f64 -1/8 (.f64 y.re (.f64 y.re (pow.f64 x.im 4)))) (.f64 1 (.f64 (pow.f64 x.im 4) (+.f64 (.f64 y.re -1/4) (.f64 (*.f64 y.re y.re) 1/8))))) (pow.f64 x.re 4)) (neg.f64 (log.f64 (pow.f64 x.re y.re)))))
(fma.f64 1/2 (.f64 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 y.re x.re)) (fma.f64 1/24 (/.f64 (+.f64 (.f64 (.f64 y.re (pow.f64 x.im 4)) -6) (.f64 (.f64 y.re (.f64 y.re (pow.f64 x.im 4))) 0)) (pow.f64 x.re 4)) (log.f64 (pow.f64 x.re y.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (+.f64 (.f64 -360 (.f64 y.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)))) (pow.f64 x.im 2)))) (.f64 720 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 6))) (+.f64 (.f64 1/48 (.f64 (pow.f64 y.re 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re))))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (.f64 (pow.f64 y.re 2) (pow.f64 x.im 4))) (.f64 24 (+.f64 (.f64 -1/4 (.f64 y.re (pow.f64 x.im 4))) (.f64 1/8 (*.f64 (pow.f64 y.re 2) (pow.f64 x.im 4)))))) (pow.f64 x.re 4))))))
(fma.f64 1/2 (/.f64 y.re (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (fma.f64 1/720 (/.f64 (fma.f64 30 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (fma.f64 -360 (.f64 (.f64 y.re (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 (.f64 1/8 (.f64 y.re y.re)) (pow.f64 x.im 4)))) (.f64 x.im x.im)) (.f64 720 (fma.f64 -1/8 (.f64 (.f64 y.re y.re) (pow.f64 x.im 6)) (fma.f64 1/48 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (.f64 (.f64 1/720 (.f64 (pow.f64 x.im 6) 120)) y.re)))))) (pow.f64 x.re 6)) (fma.f64 -1 (.f64 y.re (neg.f64 (log.f64 x.re))) (.f64 1/24 (/.f64 (fma.f64 -3 (.f64 (.f64 y.re y.re) (pow.f64 x.im 4)) (.f64 24 (fma.f64 -1/4 (.f64 y.re (pow.f64 x.im 4)) (.f64 (.f64 1/8 (.f64 y.re y.re)) (pow.f64 x.im 4))))) (pow.f64 x.re 4))))))
(fma.f64 1/2 (.f64 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 y.re x.re)) (fma.f64 1/720 (/.f64 (fma.f64 30 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (fma.f64 -360 (.f64 (.f64 x.im x.im) (.f64 y.re (.f64 (pow.f64 x.im 4) (+.f64 (.f64 y.re -1/4) (.f64 (.f64 y.re y.re) 1/8))))) (.f64 720 (+.f64 (.f64 y.re (.f64 1/720 (.f64 (pow.f64 x.im 6) 120))) (.f64 (pow.f64 x.im 6) (+.f64 (.f64 (.f64 y.re y.re) -1/8) (.f64 1/48 (pow.f64 y.re 3)))))))) (pow.f64 x.re 6)) (-.f64 (/.f64 (+.f64 (.f64 -1/8 (.f64 y.re (.f64 y.re (pow.f64 x.im 4)))) (.f64 1 (.f64 (pow.f64 x.im 4) (+.f64 (.f64 y.re -1/4) (.f64 (*.f64 y.re y.re) 1/8))))) (pow.f64 x.re 4)) (neg.f64 (log.f64 (pow.f64 x.re y.re))))))
(fma.f64 1/2 (.f64 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 y.re x.re)) (fma.f64 1/720 (/.f64 (fma.f64 30 (.f64 (pow.f64 x.im 6) (pow.f64 y.re 3)) (fma.f64 -360 (.f64 (.f64 x.im (.f64 x.im y.re)) (.f64 (pow.f64 x.im 4) (.f64 y.re (+.f64 -1/4 (.f64 1/8 y.re))))) (.f64 720 (+.f64 (.f64 y.re (.f64 1/720 (.f64 (pow.f64 x.im 6) 120))) (.f64 (pow.f64 x.im 6) (.f64 (.f64 y.re y.re) (+.f64 -1/8 (.f64 y.re 1/48)))))))) (pow.f64 x.re 6)) (fma.f64 1/24 (/.f64 (+.f64 (.f64 (.f64 y.re (pow.f64 x.im 4)) -6) (.f64 (.f64 y.re (*.f64 y.re (pow.f64 x.im 4))) 0)) (pow.f64 x.re 4)) (log.f64 (pow.f64 x.re y.re)))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(neg.f64 (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 1/2 x.im) x.im) y.re) (.f64 x.re x.re)) (*.f64 y.re (log.f64 (/.f64 -1 x.re))))
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(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) 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 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (fma.f64 -1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3))) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.im y.im))) (neg.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re))))))
(+.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (-.f64 (fma.f64 -1/6 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3))) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (.f64 y.im (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2))) 1/2))) (.f64 (atan2.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.im x.re) y.re) (-.f64 (.f64 1/2 (.f64 y.im (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3))) 1) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.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)
(+.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 (.f64 1/2 (.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 (.f64 1/2 (.f64 x.im x.im)) x.re)))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.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 1/2 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 (*.f64 (pow.f64 x.im 6) 1/16) (pow.f64 x.re 5))) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(fma.f64 -1/2 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 x.re))
(-.f64 (/.f64 -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 (fma.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (neg.f64 x.re)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) (fma.f64 -1/2 (/.f64 (.f64 x.im x.im) x.re) (fma.f64 -1 x.re (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(fma.f64 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5)) -1/16 (fma.f64 (/.f64 x.im (/.f64 x.re x.im)) -1/2 (fma.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (neg.f64 x.re))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re))
(fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (+.f64 x.re (/.f64 (.f64 1/2 (.f64 x.im x.im)) x.re)))
(fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.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 1/2 (/.f64 x.im (/.f64 x.re x.im)) (/.f64 (*.f64 (pow.f64 x.im 6) 1/16) (pow.f64 x.re 5))) (fma.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)) x.re))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(+.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 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2)) x.im)
(+.f64 (.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 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3)) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) -1/2))) x.im)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x.im x.re)

Compiler

Compiled 23 to 9 computations (60.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (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))))))

simplify55.0ms (0.1%)

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))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 x.re x.im)
✓	0.0b	(*.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re)
	1.4b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	3.0b	(log.f64 (exp.f64 (hypot.f64 x.re x.im)))

Compiler

Compiled 89 to 16 computations (82% saved)

series19.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	y.re	@	0	(*.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re)
1.0ms	y.re	@	inf	(*.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re)
0.0ms	x.re	@	0	(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
0.0ms	y.re	@	-inf	(*.f64 (log.f64 (log.f64 (exp.f64 (hypot.f64 x.re x.im)))) y.re)

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
624×	`add-log-exp_binary64`
624×	`log1p-expm1-u_binary64`
624×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	158	13
2	1747	13

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg_binary64`
620×	`fma-def_binary64`
490×	`associate-/l*_binary64`
410×	`associate-/r*_binary64`
387×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1486
1	456	1370
2	1362	1322
3	5679	1300

Stop Event

1×	node limit

Counts

97 → 108

Calls

Call 1

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

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

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.5b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	16.5b	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

Compiler

Compiled 145 to 59 computations (59.3% saved)

series149.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
73.0ms	x.re	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
52.0ms	x.im	@	inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
9.0ms	x.im	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
8.0ms	x.im	@	-inf	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
1.0ms	y.im	@	0	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))))

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	283	18
2	3697	18

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

103 → 73

Calls

Call 1

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

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

localize112.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
	0.8b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
✓	3.0b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3))
✓	17.4b	(cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))

Compiler

Compiled 210 to 46 computations (78.1% saved)

series257.0ms (0.7%)

Counts

3 → 100

Calls

36 calls:

Time	Variable		Point	Expression
91.0ms	x.im	@	inf	(cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))
39.0ms	y.re	@	0	(cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))
34.0ms	x.re	@	-inf	(cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))
13.0ms	x.re	@	inf	(cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))
10.0ms	x.im	@	-inf	(cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) 3)))

rewrite240.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log-prod_binary64`
363×	`pow2_binary64`
327×	`prod-diff_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	306	52
2	3498	52

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify636.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

535×	`*-commutative_binary64`
521×	`times-frac_binary64`
520×	`distribute-lft-in_binary64`
520×	`distribute-rgt-in_binary64`
274×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1171	29590
1	4549	24974

Stop Event

1×	node limit

Counts

275 → 368

Calls

Call 1

Inputs
(cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(+.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 -1 (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 y.re (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))))))))
(+.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 y.re (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))))))) (.f64 (pow.f64 y.re 2) (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re)))) 2))) (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))))))))
(+.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 y.re (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))))))) (+.f64 (.f64 (pow.f64 y.re 3) (-.f64 (.f64 -1 (.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))))))) (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2)))) (atan2.f64 x.im x.re)))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re)))) 3)) (.f64 (pow.f64 (.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/3) (pow.f64 (atan2.f64 x.im x.re) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) 1/3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))))))))) (.f64 (pow.f64 y.re 2) (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (pow.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re)))) 2))) (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2)))))))))))
1
1
(cos.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))) 2) (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
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1
1
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(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (.f64 1/12 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (-.f64 (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im)) (+.f64 (.f64 1/216 (/.f64 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)) (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (.f64 1/12 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 y.im (pow.f64 x.im 2))) (+.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)))))))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/9) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/9) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1/3) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/9) (*.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 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/9) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/3) (.f64 (pow.f64 y.im 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/9) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))))))

Outputs
(cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))
(cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 -1 (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 y.re (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))))))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) y.re) (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) 1/18) (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 4)) 1/18)) (atan2.f64 x.im x.re)) 1))))
(-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) 1/18) (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) 1/18)) (atan2.f64 x.im x.re)))))
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(+.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (fma.f64 -1 (.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) y.re) (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) 1/18) (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) 1/18)) (atan2.f64 x.im x.re)) 1)) (.f64 (.f64 y.re y.re) (-.f64 (.f64 (.f64 -1/2 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))) (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) 1/18) (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) 1/18)) (atan2.f64 x.im x.re)) 1) 2)) (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (fma.f64 (cbrt.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4))) 1/18)) (pow.f64 (atan2.f64 x.im x.re) 2)) -1/9) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (pow.f64 (/.f64 (/.f64 1 y.im) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) 1/18) (pow.f64 (/.f64 (/.f64 1 y.im) (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) 1/18))) 1/9)))))))
(+.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (-.f64 (.f64 (.f64 y.re y.re) (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) 1/18) (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) 1/18)) (atan2.f64 x.im x.re)) 2))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (fma.f64 (cbrt.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4))) 1/18)) (pow.f64 (atan2.f64 x.im x.re) 2)) -1/9) (.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/18) (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 1/18))) 1/9))))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) 1/18) (pow.f64 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) 1/18)) (atan2.f64 x.im x.re))))))
(+.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 y.re (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))))))) (+.f64 (.f64 (pow.f64 y.re 3) (-.f64 (.f64 -1 (.f64 (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) 1/9) (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) 1/9) (atan2.f64 x.im x.re))))))) (.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 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1/18))) 1/9))))))))
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1
1
(cos.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))) 2) (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))) 1/3))
(cos.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re))) 2) (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re))) 3)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3) (/.f64 y.im (pow.f64 x.re 2)))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 y.im (pow.f64 x.re 2))))) (.f64 (pow.f64 x.im 2) (sin.f64 (pow.f64 (.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3))))) (cos.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))) 2) (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) 1/3)))
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1
1
(.f64 (pow.f64 1 1/3) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 y.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)))
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(cbrt.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(cbrt.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))) 1/3))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) 2))) (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (cbrt.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) 2))) (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re))) (cbrt.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (.f64 1/12 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))) 1/3)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) 2))) (/.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (/.f64 (.f64 1/12 (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) 2))) (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (cbrt.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) 2))) (/.f64 (fma.f64 -1/4 (.f64 y.im (pow.f64 x.im 4)) (.f64 (/.f64 (.f64 y.im y.im) (/.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (pow.f64 x.im 4))) -1/12)) (pow.f64 x.re 4))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) 2))) (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re))) (cbrt.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.re)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (.f64 1/12 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (.f64 y.im (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) 1/3) (/.f64 (-.f64 (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im)) (+.f64 (.f64 1/216 (/.f64 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)) (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (.f64 1/12 (/.f64 (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 y.im (pow.f64 x.im 2))) (+.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)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) 2))) (/.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (/.f64 (.f64 1/12 (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (+.f64 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) 2))) (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (cbrt.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) 2)))) (/.f64 (-.f64 (.f64 1/720 (.f64 y.im (.f64 (pow.f64 x.im 6) 120))) (fma.f64 1/216 (/.f64 (.f64 (pow.f64 x.im 6) (pow.f64 y.im 3)) (pow.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) 2)) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/4 (.f64 y.im (pow.f64 x.im 4))) (/.f64 (.f64 1/12 (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (fma.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (*.f64 x.im x.im))))))) (pow.f64 x.re 6)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) 2))) (/.f64 (fma.f64 -1/4 (.f64 y.im (pow.f64 x.im 4)) (.f64 (/.f64 (.f64 y.im y.im) (/.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (pow.f64 x.im 4))) -1/12)) (pow.f64 x.re 4))) (+.f64 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) 2))) (.f64 (/.f64 y.im x.re) (/.f64 (.f64 x.im x.im) x.re))) (cbrt.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) 2))) (/.f64 (-.f64 (.f64 1/720 (.f64 y.im (.f64 (pow.f64 x.im 6) 120))) (fma.f64 1/216 (/.f64 (.f64 (pow.f64 x.im 6) (pow.f64 y.im 3)) (pow.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) 2)) (.f64 1/3 (/.f64 (fma.f64 -1/4 (.f64 y.im (pow.f64 x.im 4)) (.f64 (/.f64 (.f64 y.im y.im) (/.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (pow.f64 x.im 4))) -1/12)) (/.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.im (*.f64 x.im x.im))))))) (pow.f64 x.re 6))))))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/3)
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/9) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/3))
(fma.f64 1/3 (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18))) (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 1/3 (.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18))) (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/9) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1/3) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/9) (*.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 (fma.f64 1/3 (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18))) (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/9 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18)))))
(fma.f64 1/3 (.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18))) (+.f64 (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/9 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/9) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/3) (.f64 (pow.f64 y.im 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 3))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/9) (.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 (fma.f64 1/3 (.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18))) (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 y.im 3)) (+.f64 (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3))) (.f64 (.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 3)))) (.f64 -1/9 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18))))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) 1/18))) (cbrt.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 y.im 3)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 y.re y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)) -5/27)) (.f64 -1/9 (.f64 (.f64 (.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) 1/18))))))

eval2.6s (7%)

Compiler: Compiled 77766 to 38618 computations (50.3% saved)

prune455.0ms (1.2%)

Pruning

67 alts after pruning (65 fresh and 2 done)

	Pruned	Kept	Total
New	1070	35	1105
Fresh	15	30	45
Picked	1	0	1
Done	3	2	5
Total	1089	67	1156

Error

2.7b

Counts

1156 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	23.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (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)))))))
	22.1b	(*.f64 (pow.f64 (-.f64 (+.f64 1 (hypot.f64 x.im x.re)) 1) y.re) 1)
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	33.6b	(.f64 (pow.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) 1)
	23.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1)))) 3))
	33.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3)))) 3))
	21.6b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	49.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (sqrt.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))) 3))
	33.4b	(*.f64 (pow.f64 x.re y.re) 1)
	37.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	22.9b	(.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 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sin.f64 1))))
	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))))) 3))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	17.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 3))
	34.4b	(.f64 (pow.f64 (-.f64 (/.f64 (.f64 x.im x.im) (/.f64 x.re -1/2)) x.re) y.re) 1)
	36.5b	(*.f64 (pow.f64 (neg.f64 x.im) y.re) 1)
	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))) 3))
	38.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3) (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 3)) (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2) (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) 2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))) 3))
	18.0b	(.f64 (.f64 (+.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1) (pow.f64 (hypot.f64 x.im x.re) y.re)) 1)
	10.5b	(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) 1)
	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (pow.f64 (exp.f64 1/2) (.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 2)))))) 3))
	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 2))) (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) 3)))) 3))
	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	34.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) 3))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	24.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) 2)))) 3)))) 3))
	34.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (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)))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	34.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (exp.f64 (.f64 2/3 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) 3)))
	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)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 2))))) (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))) 3))
	31.2b	(.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (neg.f64 x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	35.8b	(*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)
	49.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))))) 3))
	39.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))) 3))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
	9.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	42.8b	(.f64 (exp.f64 (-.f64 (.f64 y.re (-.f64 (/.f64 (.f64 1/2 (.f64 x.re x.re)) (.f64 x.im x.im)) (log.f64 (/.f64 -1 x.im)))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	35.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6) 6))) 3))
	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)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 2)) (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)) (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) 1/6)))) 3))
	9.5b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) 3) 1)
	49.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (sqrt.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 3)))) 3))
	34.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2))) 3))
	35.3b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im -1)))))))) 3))
	18.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	47.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (.f64 (.f64 (/.f64 y.im x.im) (/.f64 (.f64 x.re x.re) x.im)) 1/2)))) 3))
✓	18.1b	(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) 9))) 3))
	18.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (cbrt.f64 (.f64 y.im (.f64 y.im (pow.f64 (log.f64 (hypot.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)))))))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	37.8b	(*.f64 (pow.f64 x.im y.re) 1)
	8.5b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	35.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 1/3))) 3)))) 3))
	39.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) 3))
	36.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (exp.f64 (log.f64 y.im))))) 3))
	8.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 y.im) 2) (.f64 (cbrt.f64 y.im) (log.f64 (hypot.f64 x.im x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	49.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (sqrt.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))))) 3))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 -1/2 x.im) (.f64 x.re x.re)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
✓	8.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 2) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.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) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))
	8.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3))) 3))
	36.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
	31.6b	(.f64 (pow.f64 (fma.f64 1/2 (.f64 x.im (/.f64 x.im x.re)) x.re) y.re) 1)
	51.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))))) 3))
	9.5b	(*.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im) (pow.f64 (hypot.f64 x.re x.im) y.re))) 1)

Compiler

Compiled 2266 to 1333 computations (41.2% saved)

regimes1.2s (3.1%)

Counts

128 → 4

Calls

Call 1

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

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

Calls

5 calls:

353.0ms	x.im
287.0ms	y.re
161.0ms	x.re
127.0ms	y.im
50.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
4.9b	2	`x.re`
4.2b	4	`x.im`
4.4b	3	`y.re`
6.6b	1	`y.im`
4.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 3965 to 1036 computations (73.9% saved)

bsearch1.2s (3.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
771.0ms	13914104635403395000.0	7.889420869884469e+21
180.0ms	-1.5731969389577674e-179	-2.1148698355631475e-180
208.0ms	-8.00569700534315e-29	-2.8525224560259097e-30

Compiler

Compiled 1268 to 777 computations (38.7% saved)

regimes944.0ms (2.5%)

Counts

101 → 4

Calls

Call 1

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

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

Calls

5 calls:

371.0ms	y.re
242.0ms	x.im
179.0ms	x.re
67.0ms	y.im
23.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
4.9b	2	`x.re`
4.3b	4	`x.im`
4.4b	3	`y.re`
6.6b	1	`y.im`
4.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2578 to 694 computations (73.1% saved)

bsearch735.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
305.0ms	13914104635403395000.0	7.889420869884469e+21
65.0ms	-1.5723798429148716e-251	-2.788650397716105e-252
362.0ms	-8.00569700534315e-29	-2.8525224560259097e-30

Compiler

Compiled 910 to 566 computations (37.8% saved)

regimes728.0ms (1.9%)

Counts

85 → 4

Calls

Call 1

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

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

Calls

5 calls:

228.0ms	x.im
220.0ms	y.re
105.0ms	y.im
98.0ms	x.re
26.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
4.9b	2	`x.re`
4.3b	4	`x.im`
4.4b	3	`y.re`
6.6b	1	`y.im`
4.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 2010 to 550 computations (72.6% saved)

bsearch885.0ms (2.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
233.0ms	13914104635403395000.0	7.889420869884469e+21
329.0ms	-1.5731969389577674e-179	-2.1148698355631475e-180
321.0ms	-8.00569700534315e-29	-2.8525224560259097e-30

Compiler

Compiled 1138 to 686 computations (39.7% saved)

regimes720.0ms (1.9%)

Counts

78 → 4

Calls

Call 1

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

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

Calls

5 calls:

167.0ms	y.re
148.0ms	x.im
83.0ms	y.im
75.0ms	x.re
35.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
4.9b	2	`x.re`
4.3b	4	`x.im`
4.4b	3	`y.re`
6.6b	1	`y.im`
4.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1808 to 501 computations (72.3% saved)

bsearch485.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
120.0ms	13914104635403395000.0	7.889420869884469e+21
183.0ms	-1.5731969389577674e-179	-2.1148698355631475e-180
179.0ms	-8.00569700534315e-29	-2.8525224560259097e-30

Compiler

Compiled 1112 to 660 computations (40.6% saved)

regimes442.0ms (1.2%)

Counts

60 → 4

Calls

Call 1

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

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

Calls

5 calls:

232.0ms	x.im
82.0ms	y.re
52.0ms	x.re
28.0ms	y.im
14.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
5.2b	2	`x.re`
4.3b	4	`x.im`
4.4b	3	`y.re`
6.6b	1	`y.im`
4.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1271 to 388 computations (69.5% saved)

bsearch597.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
234.0ms	13914104635403395000.0	7.889420869884469e+21
175.0ms	-1.5731969389577674e-179	-2.1148698355631475e-180
187.0ms	-8.00569700534315e-29	-2.8525224560259097e-30

Compiler

Compiled 1047 to 660 computations (37% saved)

regimes341.0ms (0.9%)

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

139.0ms	y.re
62.0ms	x.im
56.0ms	x.re
45.0ms	y.im

Results

Error	Segments	Branch
5.2b	2	`x.re`
5.3b	2	`x.im`
5.0b	3	`y.re`
6.6b	1	`y.im`

Compiler

Compiled 955 to 312 computations (67.3% saved)

bsearch104.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.9118330936895016e+56	1.6436305711656812e+57
60.0ms	-1.6102153549819343e-12	-3.090008091488489e-17

Compiler

Compiled 282 to 193 computations (31.6% saved)

regimes167.0ms (0.4%)

Counts

42 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

53.0ms	y.re
37.0ms	x.re
36.0ms	x.im
21.0ms	y.im

Results

Error	Segments	Branch
5.2b	2	`x.re`
5.3b	2	`x.im`
5.0b	3	`y.re`
6.6b	1	`y.im`

Compiler

Compiled 736 to 266 computations (63.9% saved)

bsearch114.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	1.9118330936895016e+56	1.6436305711656812e+57
65.0ms	-1.6102153549819343e-12	-3.090008091488489e-17

Compiler

Compiled 282 to 193 computations (31.6% saved)

regimes108.0ms (0.3%)

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

31.0ms	x.re
30.0ms	x.im
17.0ms	y.re
16.0ms	y.im

Results

Error	Segments	Branch
5.2b	2	`x.re`
5.3b	2	`x.im`
6.6b	1	`y.re`
6.6b	1	`y.im`

Compiler

Compiled 559 to 231 computations (58.7% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	-5.834529201348791e-38	-4.967264460196288e-40

Compiler

Compiled 92 to 54 computations (41.3% saved)

regimes155.0ms (0.4%)

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

78.0ms	x.im
27.0ms	x.re
15.0ms	y.im
14.0ms	y.re

Results

Error	Segments	Branch
6.6b	1	`x.re`
5.3b	2	`x.im`
6.6b	1	`y.re`
6.6b	1	`y.im`

Compiler

Compiled 408 to 190 computations (53.4% saved)

bsearch259.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
259.0ms	13914104635403395000.0	7.889420869884469e+21

Compiler

Compiled 392 to 249 computations (36.5% saved)

regimes134.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	y.re
22.0ms	x.re
18.0ms	x.im
14.0ms	y.im

Results

Error	Segments	Branch
6.6b	1	`x.re`
6.6b	1	`x.im`
6.6b	1	`y.re`
6.6b	1	`y.im`

Compiler

Compiled 353 to 177 computations (49.9% saved)

regimes352.0ms (0.9%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

123.0ms	y.im
83.0ms	y.re
74.0ms	x.im
57.0ms	x.re

Results

Error	Segments	Branch
7.6b	4	`x.re`
7.4b	3	`x.im`
5.2b	3	`y.re`
7.4b	3	`y.im`

Compiler

Compiled 306 to 160 computations (47.7% saved)

bsearch146.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	1.9118330936895016e+56	1.6436305711656812e+57
97.0ms	-1.6102153549819343e-12	-3.090008091488489e-17

Compiler

Compiled 282 to 193 computations (31.6% saved)

regimes318.0ms (0.8%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

176.0ms	x.re
50.0ms	y.im
48.0ms	x.im
37.0ms	y.re

Results

Error	Segments	Branch
14.1b	4	`x.re`
9.1b	3	`x.im`
5.6b	3	`y.re`
8.4b	3	`y.im`

Compiler

Compiled 272 to 145 computations (46.7% saved)

bsearch197.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	5.073307367947652e+106	4.061867899108658e+121
89.0ms	-1.6102153549819343e-12	-3.090008091488489e-17

Compiler

Compiled 288 to 215 computations (25.3% saved)

regimes64.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)

Calls

4 calls:

40.0ms	y.re
11.0ms	x.re
5.0ms	y.im
5.0ms	x.im

Results

Error	Segments	Branch
18.1b	1	`x.re`
18.1b	1	`x.im`
18.1b	1	`y.re`
18.1b	1	`y.im`

Compiler

Compiled 79 to 54 computations (31.6% saved)

regimes376.0ms (1%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

4 calls:

168.0ms	y.im
116.0ms	x.im
75.0ms	y.re
10.0ms	x.re

Results

Error	Segments	Branch
22.5b	2	`x.re`
20.1b	7	`x.im`
23.1b	9	`y.re`
25.7b	7	`y.im`

Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch1.8s (4.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
187.0ms	8.737339698047193e-18	1.5572933994666592e-16
283.0ms	2.565442508432751e-191	1.98543471457988e-186
439.0ms	1.6758796443807208e-266	5.288366372481107e-258
267.0ms	-4.420599088356222e-249	-1.7684717984892515e-250
275.0ms	-2.768921850372836e-152	-2.1972002218012082e-153
305.0ms	-3.263895316512099e-32	-6.893866563923754e-35

Compiler

Compiled 1007 to 800 computations (20.6% saved)

regimes121.0ms (0.3%)

Counts

3 → 7

Calls

Call 1

Inputs
(*.f64 (pow.f64 x.re y.re) 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 (neg.f64 x.im) y.re) 1)

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

Calls

4 calls:

53.0ms	x.re
22.0ms	y.re
22.0ms	x.im
22.0ms	y.im

Results

Error	Segments	Branch
25.4b	10	`x.re`
20.3b	7	`x.im`
30.2b	4	`y.re`
30.1b	5	`y.im`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch2.0s (5.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
267.0ms	8.737339698047193e-18	1.5572933994666592e-16
324.0ms	4.374052001163836e-203	3.1819585603603876e-192
355.0ms	1.1517892005807601e-271	1.6758796443807208e-266
369.0ms	-4.420599088356222e-249	-1.7684717984892515e-250
312.0ms	-2.768921850372836e-152	-2.1972002218012082e-153
370.0ms	-3.263895316512099e-32	-6.893866563923754e-35

Compiler

Compiled 1009 to 798 computations (20.9% saved)

regimes112.0ms (0.3%)

Accuracy

Total -21.6b remaining (-80%)

Threshold costs -21.6b (-80%)

Counts

2 → 4

Calls

Call 1

Inputs
(*.f64 (pow.f64 x.re y.re) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Outputs
(*.f64 (pow.f64 x.re y.re) 1)
(*.f64 (pow.f64 x.im y.re) 1)
(*.f64 (pow.f64 x.re y.re) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

37.0ms	y.re
28.0ms	x.im
24.0ms	y.im
20.0ms	x.re

Results

Error	Segments	Branch
29.5b	2	`x.re`
27.0b	4	`x.im`
30.5b	5	`y.re`
31.7b	3	`y.im`

Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch803.0ms (2.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
177.0ms	8.737339698047193e-18	1.5572933994666592e-16
328.0ms	4.374052001163836e-203	3.1819585603603876e-192
297.0ms	1.1517892005807601e-271	1.6758796443807208e-266

Compiler

Compiled 568 to 441 computations (22.4% saved)

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

33×	`*-commutative_binary64`
12×	`+-commutative_binary64`
11×	`cancel-sign-sub-inv_binary64`
10×	`sub-neg_binary64`
8×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1341
1	223	1341
2	246	1341
3	253	1341
4	255	1341

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (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) (.f64 y.re (atan2.f64 x.im x.re))))) 3)) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5282945311356652544/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3))) 3)) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.re -6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1) (if (<=.f64 y.re 40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.re y.re) 1)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(if (<=.f64 x.im -6547527335242445/93536104789177786765035829293842113257979682750464) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -6368561591886351/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im 4937360828930139/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im 38211289823127272/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (.f64 (pow.f64 x.re y.re) 1) (*.f64 (pow.f64 x.im y.re) 1)))))))
(if (<=.f64 x.im -6547527335242445/93536104789177786765035829293842113257979682750464) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -6368561591886351/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im 1130456425322399872/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im 4045270529755219/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (.f64 (pow.f64 x.re y.re) 1) (*.f64 (pow.f64 x.im y.re) 1)))))))
(if (<=.f64 x.im 1130456425322399872/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im 4045270529755219/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (.f64 (pow.f64 x.re y.re) 1) (.f64 (pow.f64 x.im y.re) 1))))
(*.f64 (pow.f64 x.re y.re) 1)

Outputs
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (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) (.f64 y.re (atan2.f64 x.im x.re))))) 3)) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 y.im (cbrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) 3)) (if (<=.f64 x.im 7800000000000000000000) (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5282945311356652544/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3))) 3)) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im -5159126280621731/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3))) 3)) (if (<=.f64 x.im 7800000000000000000000) (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))))) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.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 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))) (if (<=.f64 x.im 7800000000000000000000) (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im 7800000000000000000000) (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -7136238463529799/89202980794122492566142873090593446023921664) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 x.im -5139133111689641/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 x.im 7800000000000000000000) (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) 1) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7973400239217033/4951760157141521099596496896) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7973400239217033/4951760157141521099596496896) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 x.re -6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re -6129982163463555/6129982163463555433433388108601236734474956488734408704) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))) (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(if (<=.f64 x.im 7800000000000000000000) (.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.im 7800000000000000000000) (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(exp.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7973400239217033/4951760157141521099596496896) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im))) (if (<=.f64 y.re 1600000000000000147044536130294051809344551355450952515584) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(if (<=.f64 y.re -127574403827472528/79228162514264337593543950336) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1) (if (<=.f64 y.re 40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.re y.re) 1)))
(if (<=.f64 y.re -7973400239217033/4951760157141521099596496896) (pow.f64 (hypot.f64 x.im x.re) y.re) (if (<=.f64 y.re 40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864) (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 x.re y.re)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(if (<=.f64 x.im -6547527335242445/93536104789177786765035829293842113257979682750464) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -6368561591886351/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im 4937360828930139/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im 38211289823127272/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (.f64 (pow.f64 x.re y.re) 1) (*.f64 (pow.f64 x.im y.re) 1)))))))
(if (<=.f64 x.im -6547527335242445/93536104789177786765035829293842113257979682750464) (pow.f64 (neg.f64 x.im) y.re) (if (<=.f64 x.im -6368561591886351/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (pow.f64 x.re y.re) (if (<=.f64 x.im -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (pow.f64 (neg.f64 x.im) y.re) (if (<=.f64 x.im 4937360828930139/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (pow.f64 x.re y.re) (if (<=.f64 x.im 4776411227890909/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (pow.f64 (neg.f64 x.re) y.re) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (pow.f64 x.re y.re) (pow.f64 x.im y.re)))))))
(if (<=.f64 x.im -6547527335242445/93536104789177786765035829293842113257979682750464) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -6368561591886351/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im 1130456425322399872/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im 4045270529755219/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (.f64 (pow.f64 x.re y.re) 1) (*.f64 (pow.f64 x.im y.re) 1)))))))
(if (<=.f64 x.im -6547527335242445/93536104789177786765035829293842113257979682750464) (pow.f64 (neg.f64 x.im) y.re) (if (<=.f64 x.im -6368561591886351/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (pow.f64 x.re y.re) (if (<=.f64 x.im -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (pow.f64 (neg.f64 x.im) y.re) (if (<=.f64 x.im 8831690822831249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (pow.f64 x.re y.re) (if (<=.f64 x.im 4045270529755219/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (pow.f64 x.im y.re) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (pow.f64 x.re y.re) (pow.f64 x.im y.re)))))))
(if (<=.f64 x.im 1130456425322399872/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im 4045270529755219/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (.f64 (pow.f64 x.re y.re) 1) (.f64 (pow.f64 x.im y.re) 1))))
(if (<=.f64 x.im 8831690822831249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (pow.f64 x.re y.re) (if (<=.f64 x.im 4045270529755219/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (pow.f64 x.im y.re) (if (<=.f64 x.im 2855763272194155/324518553658426726783156020576256) (pow.f64 x.re y.re) (pow.f64 x.im y.re))))
(*.f64 (pow.f64 x.re y.re) 1)
(pow.f64 x.re y.re)

Compiler

Compiled 942 to 462 computations (51% saved)

soundness318.0ms (0.8%)

Algorithm

4×	egg-herbie

Rules

892×	`unswap-sqr_binary64`
759×	`associate-/r*_binary64`
513×	`associate-l_binary64`
504×	`associate-+l+_binary64`
504×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	323	4329
1	1003	3974
2	3738	3809
0	323	4329
1	1003	3974
2	3738	3809
0	93	1030
1	264	962
2	755	944
3	2790	944
0	20	40
1	39	38
2	76	38
3	126	38
4	286	38
5	1102	38
6	4153	38
7	5785	38
8	6380	38
9	7366	38

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 485 to 311 computations (35.9% saved)

end288.0ms (0.8%)

Compiler: Compiled 878 to 208 computations (76.3% saved)