Details

analyze457.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample6.1s (21.1%)

Results

2.5s	2451×	body	1024	infinite
2.3s	7904×	body	256	valid
635.0ms	985×	body	512	infinite
261.0ms	1024×	body	256	infinite
213.0ms	182×	body	1024	valid
76.0ms	155×	body	512	valid
36.0ms	30×	body	2048	infinite
16.0ms	15×	body	2048	valid

Bogosity

preprocess66.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify231.0ms (0.8%)

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

5.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	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)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	28.3b	(.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 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

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

▶

28.3b

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

Compiler

Compiled 70 to 34 computations (51.4% saved)

localize35.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
	0.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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))))
	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.0b	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	1.6b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	24.9b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	31.9b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series35.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
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)))
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)))
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)))
2.0ms	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)))

rewrite133.0ms (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
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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))))))

simplify96.0ms (0.3%)

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))

localize55.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	0.0b	(.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
	0.0b	(hypot.f64 x.re x.im)
✓	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.7b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	1.6b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	31.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 98 to 15 computations (84.7% saved)

series158.0ms (0.5%)

Counts

4 → 68

Calls

36 calls:

Time	Variable		Point	Expression
44.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
35.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
20.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
19.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
16.0ms	x.re	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)

rewrite131.0ms (0.5%)

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))))))))

simplify137.0ms (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))

eval386.0ms (1.3%)

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

prune145.0ms (0.5%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	412	25	437
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	414	25	439

Error

4.3b

Counts

439 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.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)))))) 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)))))
	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)) (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)))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	23.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))) 2))
	23.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (.f64 (cos.f64 (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))))
	16.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (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))))))
▶	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.im (log.f64 (hypot.f64 x.im x.re)))))
	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)))))
▶	8.8b	(.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)))))
	31.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1))))
	31.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	16.3b	(.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))) (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))
	46.3b	(.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 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.9b	(.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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	15.8b	(.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)))))
	42.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	9.3b	(.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 y.re (atan2.f64 x.im x.re))))
▶	16.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	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)) (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)))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.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)))))
	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)) (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))))))
	16.5b	(.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))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	35.4b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))
	10.1b	(.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)))))

Compiler

Compiled 1758 to 992 computations (43.6% saved)

localize46.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.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)))))) 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)))))
	0.0b	(sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
	0.0b	(hypot.f64 x.re x.im)
✓	0.8b	(exp.f64 (exp.f64 (atan2.f64 x.im x.re)))
✓	1.0b	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
	1.6b	(*.f64 y.re (atan2.f64 x.im x.re))
	31.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 164 to 19 computations (88.4% saved)

series187.0ms (0.6%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
102.0ms	x.re	@	inf	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
24.0ms	x.im	@	inf	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
20.0ms	x.re	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
17.0ms	x.im	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
14.0ms	x.im	@	0	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
556×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	146	17
2	1630	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
(exp.f64 (exp.f64 (atan2.f64 x.im x.re)))

Outputs

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

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

44 → 44

Calls

Call 1

Inputs

Outputs

localize39.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	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)))
	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.0b	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	1.6b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	19.6b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	24.9b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series5.0ms (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.re	@	-inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.im	@	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.im	@	inf	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite105.0ms (0.4%)

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)))))))))

simplify197.0ms (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)))

localize30.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	0.0b	(.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)))))
	0.0b	(hypot.f64 x.re x.im)
	0.0b	(hypot.f64 x.im x.re)
✓	0.3b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.7b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	21.6b	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 81 to 15 computations (81.5% saved)

series108.0ms (0.4%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
54.0ms	x.re	@	0	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
16.0ms	y.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
11.0ms	y.re	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
3.0ms	x.im	@	inf	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
2.0ms	x.im	@	inf	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log-prod_binary64`
467×	`prod-diff_binary64`
384×	`pow2_binary64`
264×	`pow1/3_binary64`
260×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	304	29
2	3800	29

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

460×	`associate-r_binary64`
347×	`*-commutative_binary64`
340×	`unswap-sqr_binary64`
335×	`fma-def_binary64`
308×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	5277
1	1533	4911
2	5906	4685

Stop Event

1×	node limit

Counts

144 → 180

Calls

Call 1

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

Outputs
1
(+.f64 1 (.f64 -1/2 (.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 (.f64 (.f64 -1/2 (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 2)))
(fma.f64 -1/2 (.f64 y.im (.f64 y.im (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)))))
(fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) (+.f64 1 (.f64 (.f64 -1/2 (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 2))))
(fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) (fma.f64 -1/2 (.f64 y.im (*.f64 y.im (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))))))
(fma.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 6)) (fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) 4)) (+.f64 1 (.f64 (.f64 -1/2 (.f64 y.im y.im)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))) 2)))))
(fma.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 6)) (fma.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 4)) (fma.f64 -1/2 (.f64 y.im (.f64 y.im (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) 1)))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
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(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 -1/2 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(fma.f64 -1/2 (.f64 (/.f64 y.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (sin.f64 (.f64 y.im (log.f64 x.re)))))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (.f64 y.im (log.f64 x.re)))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) y.im) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 x.re) y.im)) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(fma.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 y.im y.im) (/.f64 (pow.f64 x.re 4) (cos.f64 (.f64 y.im (log.f64 x.re)))))) (.f64 1/4 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 x.re 4) y.im)))) (pow.f64 x.im 4) (fma.f64 -1/2 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (/.f64 (.f64 x.re x.re) (.f64 y.im (.f64 x.im x.im)))) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 x.re 4)) y.im) 1/4)) (pow.f64 x.im 4) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im y.im))) (cos.f64 (.f64 y.im (log.f64 x.re)))))
(fma.f64 (fma.f64 -1/8 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.re 4)) (cos.f64 (.f64 y.im (log.f64 x.re)))) (.f64 (.f64 (/.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (pow.f64 x.re 4)) y.im) 1/4)) (pow.f64 x.im 4) (fma.f64 -1/2 (.f64 (/.f64 y.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (sin.f64 (.f64 y.im (log.f64 x.re)))))) (cos.f64 (.f64 y.im (log.f64 x.re)))))
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(+.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 y.re 3) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (fma.f64 1/2 (.f64 (/.f64 (.f64 y.re y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (*.f64 (/.f64 y.re (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 y.re 3) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))) (fma.f64 1/2 (.f64 (/.f64 (.f64 y.re y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2)) (.f64 (/.f64 y.re (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log.f64 (hypot.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 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)
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (neg.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))))
(-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 y.im 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (fma.f64 -1 (.f64 (.f64 y.im y.im) (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) -1/2)) (neg.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re)))))
(fma.f64 -1 (fma.f64 (.f64 y.im y.im) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) -1/2)) (.f64 y.im (*.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (fma.f64 (.f64 y.im y.im) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) -1/2)) (.f64 y.im (*.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (atan2.f64 x.im x.re))))) (pow.f64 y.im 3))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)))) (pow.f64 y.im 2))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(fma.f64 -1 (.f64 (pow.f64 y.im 3) (fma.f64 1/6 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (pow.f64 (atan2.f64 x.im x.re) 3)) (neg.f64 (.f64 (atan2.f64 x.im x.re) (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) -1/2)))))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (fma.f64 -1 (.f64 (.f64 y.im y.im) (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re) (pow.f64 (atan2.f64 x.im x.re) 2)) -1/2)) (neg.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))) y.re))))))
(-.f64 (fma.f64 -1 (fma.f64 (.f64 y.im y.im) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) -1/2)) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (.f64 (pow.f64 y.im 3) (-.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (atan2.f64 x.im x.re) 3)) -1/3) (.f64 -1/2 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (atan2.f64 x.im x.re) 3))))))
(-.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 1/6 (pow.f64 (hypot.f64 x.im x.re) y.re)) (pow.f64 (atan2.f64 x.im x.re) 3) 0)) (pow.f64 y.im 3) (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 (.f64 y.im y.im) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) -1/2)) (.f64 y.im (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

localize74.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 3)))
	0.0b	(.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)))))
	0.0b	(hypot.f64 x.re x.im)
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
✓	0.7b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 3))
	1.6b	(*.f64 y.re (atan2.f64 x.im x.re))
	31.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 119 to 33 computations (72.3% saved)

series9.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 3))
1.0ms	y.im	@	0	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 3))
1.0ms	x.im	@	-inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 3))
1.0ms	x.im	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 3))
1.0ms	x.re	@	inf	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (*.f64 y.im 3))

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
735×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	180	12
2	2099	12

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

753×	`unswap-sqr_binary64`
706×	`associate-/r*_binary64`
678×	`fma-def_binary64`
440×	`associate-*l/_binary64`
321×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	472
1	77	470
2	212	466
3	823	459
4	2322	459
5	4196	459
6	5661	459

Stop Event

1×	node limit

Counts

51 → 24

Calls

Call 1

Inputs
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
1
(+.f64 1 (.f64 3 (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 1 (+.f64 (.f64 3 (.f64 y.im (atan2.f64 x.im x.re))) (.f64 9/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (+.f64 (.f64 9/2 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 3 (.f64 y.im (atan2.f64 x.im x.re))) (.f64 9/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))

Outputs
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
1
(+.f64 1 (.f64 3 (.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 1 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(fma.f64 3 (*.f64 (atan2.f64 x.im x.re) y.im) 1)
(fma.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im) 1)
(+.f64 1 (+.f64 (.f64 3 (.f64 y.im (atan2.f64 x.im x.re))) (.f64 9/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(+.f64 1 (fma.f64 3 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 9/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)))))
(fma.f64 9/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) (fma.f64 (atan2.f64 x.im x.re) (*.f64 3 y.im) 1))
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 3 y.im (.f64 (atan2.f64 x.im x.re) (.f64 9/2 (*.f64 y.im y.im)))) 1)
(fma.f64 (atan2.f64 x.im x.re) (fma.f64 3 y.im (.f64 (atan2.f64 x.im x.re) (.f64 y.im (*.f64 y.im 9/2)))) 1)
(+.f64 1 (+.f64 (.f64 9/2 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 3 (.f64 y.im (atan2.f64 x.im x.re))) (.f64 9/2 (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 1 (fma.f64 9/2 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 3 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 9/2 (.f64 (*.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(fma.f64 9/2 (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 3)) (fma.f64 9/2 (.f64 (.f64 y.im y.im) (pow.f64 (atan2.f64 x.im x.re) 2)) (fma.f64 (atan2.f64 x.im x.re) (.f64 3 y.im) 1)))
(fma.f64 3 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 9/2 (.f64 (.f64 y.im y.im) (+.f64 (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 3)) (pow.f64 (atan2.f64 x.im x.re) 2))) 1))
(fma.f64 3 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (.f64 y.im 9/2) (+.f64 y.im (.f64 (atan2.f64 x.im x.re) (*.f64 y.im y.im)))) 1))
(fma.f64 3 (.f64 (atan2.f64 x.im x.re) y.im) (fma.f64 9/2 (.f64 y.im (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (+.f64 y.im (.f64 (atan2.f64 x.im x.re) (*.f64 y.im y.im))))) 1))
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)
(exp.f64 (.f64 3 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (.f64 3 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (exp.f64 3) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (exp.f64 3) y.im) (atan2.f64 x.im x.re))
(pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (atan2.f64 x.im x.re)) y.im)

localize38.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
	0.1b	(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))))
	0.0b	(.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 (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))
	0.0b	(hypot.f64 x.re x.im)
	0.3b	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
	0.5b	(exp.f64 (atan2.f64 x.im x.re))
	0.7b	(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
✓	31.9b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 131 to 21 computations (84% saved)

series12.0ms (0%)

Counts

1 → 44

Calls

12 calls:

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

rewrite61.0ms (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	18
1	213	18
2	2498	18

Stop Event

1×	node limit

Counts

1 → 35

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)))

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)))))))))

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

951×	`associate-/r*_binary64`
914×	`fma-def_binary64`
371×	`associate-/r/_binary64`
361×	`associate-*l/_binary64`
274×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3308
1	860	3108
2	3284	2947

Stop Event

1×	node limit

Counts

79 → 94

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

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

eval790.0ms (2.7%)

Compiler: Compiled 48682 to 16430 computations (66.3% saved)

prune375.0ms (1.3%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	970	31	1001
Fresh	16	4	20
Picked	1	0	1
Done	4	0	4
Total	991	35	1026

Error

3.3b

Counts

1026 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	9.1b	(.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	32.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	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)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
	16.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sin.f64 1))))
	35.6b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
	37.3b	(.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))))
	40.9b	(.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 y.im (log.f64 x.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)) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	10.3b	(.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (.f64 1/2 (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)))))
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.2b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	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)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	40.6b	(.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))))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (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)))))) (.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)))))
▶	26.1b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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))
	23.0b	(.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)) (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))
	38.0b	(.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 x.im))))
	37.0b	(.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.re (atan2.f64 x.im x.re))))
▶	31.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	10.0b	(.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))))
	16.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	18.9b	(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	46.3b	(.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 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	9.5b	(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) 1)
	24.3b	(.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)))))) (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))
▶	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.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)))))
	9.3b	(.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 (*.f64 y.re (atan2.f64 x.im x.re))))
	10.7b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.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)))))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	16.9b	(.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))) 1)
	23.1b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (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))) 2))
▶	19.2b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.3b	(.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 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 2138 to 1290 computations (39.7% saved)

localize165.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.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)))))
	0.0b	(sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
	0.0b	(hypot.f64 x.re x.im)
	0.8b	(exp.f64 (exp.f64 (atan2.f64 x.im x.re)))
	1.0b	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
	1.6b	(*.f64 y.re (atan2.f64 x.im x.re))
	31.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 196 to 57 computations (70.9% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize44.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	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)))
	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.0b	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	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)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	24.9b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series33.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
16.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
3.0ms	y.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)))
1.0ms	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)))
1.0ms	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)))
1.0ms	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)))

rewrite66.0ms (0.2%)

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)))))))))

simplify93.0ms (0.3%)

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

localize22.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.2b	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
	0.2b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	0.0b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	0.0b	(hypot.f64 x.im x.re)
✓	0.0b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
✓	0.2b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
✓	2.2b	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
	21.6b	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 58 to 13 computations (77.6% saved)

series104.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	x.im	@	0	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
17.0ms	y.im	@	-inf	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
14.0ms	y.im	@	0	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
14.0ms	y.im	@	inf	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
9.0ms	x.re	@	0	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
355×	`pow-prod-down_binary64`
336×	`pow-unpow_binary64`
312×	`pow2_binary64`
302×	`pow-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	259	40
2	3207	21

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs

(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

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

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

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

969×	`associate-/l*_binary64`
840×	`associate-/r*_binary64`
331×	`associate-r_binary64`
296×	`associate-/r/_binary64`
287×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	4491
1	1062	4239
2	3671	4038

Stop Event

1×	node limit

Counts

146 → 141

Calls

Call 1

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

localize29.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(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))))
	0.0b	(hypot.f64 x.re x.im)
	0.0b	(hypot.f64 x.im x.re)
	0.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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))
✓	0.1b	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))
✓	0.1b	(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)
✓	0.2b	(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
	31.9b	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)))

Compiler

Compiled 105 to 19 computations (81.9% saved)

series51.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	x.re	@	0	(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)
5.0ms	x.re	@	-inf	(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)
5.0ms	x.im	@	0	(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)
4.0ms	x.im	@	-inf	(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)
4.0ms	x.im	@	inf	(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)

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	278	43
2	2927	43

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

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

(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)

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

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

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

simplify165.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-def_binary64`
416×	`cancel-sign-sub-inv_binary64`
413×	`associate-r_binary64`
335×	`*-commutative_binary64`
300×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	8693
1	1782	7576
2	6401	7382

Stop Event

1×	node limit

Counts

220 → 238

Calls

Call 1

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

localize128.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 x.re x.im)
	0.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.0b	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	3.7b	(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)
✓	3.8b	(exp.f64 (log1p.f64 (hypot.f64 x.re x.im)))
✓	23.0b	(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	24.9b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 204 to 46 computations (77.5% saved)

series41.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite141.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
448×	`fma-def_binary64`
281×	`log1p-udef_binary64`
280×	`pow1/3_binary64`
280×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	333	29
2	4039	29

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs

(cos.f64 (+.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

(exp.f64 (log1p.f64 (hypot.f64 x.re x.im)))

(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)

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

simplify124.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def_binary64`
423×	`associate-r_binary64`
326×	`times-frac_binary64`
301×	`associate-/r*_binary64`
301×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	643	7542
1	2163	6428

Stop Event

1×	node limit

Counts

227 → 278

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 1/24 (.f64 (-.f64 (.f64 24 (/.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (+.f64 1 x.im)) x.im)) (.f64 3 (/.f64 1 (pow.f64 x.im 4)))) (.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.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 -1/48 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 24 (/.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (+.f64 1 x.im)) x.im)) (.f64 3 (/.f64 1 (pow.f64 x.im 4)))) (pow.f64 y.im 2))) (pow.f64 x.im 2))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 30 (/.f64 1 (pow.f64 x.im 6))) (+.f64 (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (+.f64 1 x.im)) (pow.f64 x.im 3))) (.f64 720 (/.f64 (.f64 (+.f64 1 x.im) (+.f64 (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3))))) (.f64 (+.f64 1 x.im) x.im))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (.f64 1/720 (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 4)))) (.f64 45 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 5)))))))))) x.im)))) y.im)) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))))) (pow.f64 x.re 6)) (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 1/24 (.f64 (-.f64 (.f64 24 (/.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (+.f64 1 x.im)) x.im)) (.f64 3 (/.f64 1 (pow.f64 x.im 4)))) (.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.re 4)))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re))))) (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))))
(-.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re))))) (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 2))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 x.re) (.f64 1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re))) (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (/.f64 (pow.f64 x.re 2) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 2))) (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(-.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re))))) (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 x.re) (.f64 1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re))) (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (/.f64 (pow.f64 x.re 2) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 2))) (pow.f64 y.im 2))) (.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) (pow.f64 x.re 2))))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 x.re) (.f64 1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re))) (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (/.f64 (pow.f64 x.re 2) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 2))) (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x.re 3) (pow.f64 y.im 3)) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 3))) (.f64 1/6 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x.re 3) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 3))) (+.f64 (.f64 6 (/.f64 (+.f64 (.f64 1/6 x.re) (+.f64 (.f64 1/6 (.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) x.re)) (.f64 1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)))) (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (.f64 -6 (/.f64 (.f64 x.re (+.f64 (.f64 1/2 x.re) (.f64 1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)))) (pow.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1) 2))))) y.im))) (sin.f64 (+.f64 (.f64 y.im (log.f64 (-.f64 (pow.f64 (/.f64 1 x.re) -1) 1))) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 3))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)) y.im)))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)) y.im))) (.f64 -1 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)) y.im))) y.im) (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1))))
(-.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)) y.im))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)) y.im))) y.im) (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)) y.im))) (pow.f64 y.im 2)) (pow.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1) 2))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 x.re) (.f64 -1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re))) (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1))) (/.f64 (pow.f64 x.re 2) (pow.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1) 2))) (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)) y.im))) y.im)) (pow.f64 x.re 2))))
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(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
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(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) 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 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 1 x.im)
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 (pow.f64 x.re 6) (.f64 (+.f64 1 x.im) (+.f64 (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3))))) (.f64 (+.f64 1 x.im) x.im))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (.f64 1/720 (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 4)))) (.f64 45 (/.f64 1 (*.f64 (+.f64 1 x.im) (pow.f64 x.im 5))))))))))) x.im))))
x.re
(+.f64 1 x.re)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (.f64 1/2 (/.f64 1 x.re)) x.re)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) (pow.f64 x.re 2))) (+.f64 x.re (.f64 1/6 (/.f64 1 (pow.f64 x.re 2)))))))))
(*.f64 -1 x.re)
(+.f64 1 (*.f64 -1 x.re))
(+.f64 1 (+.f64 (.f64 -1 x.re) (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 (-.f64 (pow.f64 x.im 2) 1))) x.re))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) (pow.f64 x.re 2))) (+.f64 (.f64 -1 x.re) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.re 2))) (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 (-.f64 (pow.f64 x.im 2) 1))) x.re)))))))
(+.f64 1 x.re)
(+.f64 1 (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 (pow.f64 x.im 4) (.f64 (+.f64 1 x.re) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))))) (+.f64 1 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(+.f64 (.f64 (pow.f64 x.im 4) (.f64 (+.f64 1 x.re) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))))) (+.f64 1 (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 5) (+.f64 1 x.re)))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 4) (pow.f64 (+.f64 1 x.re) 2))))))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re))))) (.f64 x.re (+.f64 1 x.re)))))) (*.f64 (pow.f64 x.im 6) (+.f64 1 x.re)))))))
x.im
(+.f64 1 x.im)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 x.im (.f64 1/2 (/.f64 1 x.im)))))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) (pow.f64 x.im 2))) (+.f64 x.im (.f64 1/2 (/.f64 1 x.im))))))))
(*.f64 -1 x.im)
(+.f64 1 (*.f64 -1 x.im))
(+.f64 1 (+.f64 (.f64 -1 x.im) (.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (-.f64 (pow.f64 x.re 2) 1)) 1/2) x.im))))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) (pow.f64 x.im 2))) (+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) (pow.f64 x.im 2))) (.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (-.f64 (pow.f64 x.re 2) 1)) 1/2) x.im)))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 4)))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (.f64 45 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 5))))))) (+.f64 (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3))))) (.f64 (+.f64 1 x.im) x.im))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))))) (*.f64 (pow.f64 x.re 6) (+.f64 1 x.im))) x.im)))
(-.f64 (pow.f64 (/.f64 1 x.re) -1) 1)
(pow.f64 (/.f64 1 x.re) -1)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (pow.f64 (/.f64 1 x.re) -1) (.f64 1/2 (/.f64 1 x.re))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) (pow.f64 x.re 2))) (+.f64 (pow.f64 (/.f64 1 x.re) -1) (.f64 1/6 (/.f64 1 (pow.f64 x.re 2))))))))
(-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)
(pow.f64 (/.f64 -1 x.re) -1)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (pow.f64 (/.f64 -1 x.re) -1)) (.f64 1/2 (/.f64 1 x.re)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) x.re)) (+.f64 (.f64 -1/6 x.re) (.f64 -1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)))) (pow.f64 x.re 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (pow.f64 (/.f64 -1 x.re) -1))) (*.f64 1/2 (/.f64 1 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 (pow.f64 x.im 2) x.re)) (.f64 (pow.f64 x.im 4) (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))) (+.f64 1 x.re)))))
(+.f64 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (+.f64 (.f64 1/720 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 4) (pow.f64 (+.f64 1 x.re) 2)))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 5) (+.f64 1 x.re))))))) (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re))))) (.f64 x.re (+.f64 1 x.re)))))) (.f64 (pow.f64 x.im 6) (+.f64 1 x.re))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 (pow.f64 x.im 4) (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))) (+.f64 1 x.re))))))
(-.f64 (pow.f64 (/.f64 1 x.im) -1) 1)
(pow.f64 (/.f64 1 x.im) -1)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 (pow.f64 (/.f64 1 x.im) -1) (.f64 1/2 (/.f64 1 x.im))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 (pow.f64 (/.f64 1 x.im) -1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) (pow.f64 x.im 2))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.im 2))) (.f64 1/2 (/.f64 1 x.im)))))))
(-.f64 (pow.f64 (/.f64 -1 x.im) -1) 1)
(pow.f64 (/.f64 -1 x.im) -1)
(-.f64 (+.f64 (pow.f64 (/.f64 -1 x.im) -1) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im))) (.f64 1/2 (/.f64 1 x.im)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 x.im) (+.f64 (.f64 -1/2 (.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (.f64 -1/6 (.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) x.im)))) (pow.f64 x.im 3))) (+.f64 (pow.f64 (/.f64 -1 x.im) -1) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)))) (*.f64 1/2 (/.f64 1 x.im)))

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 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.im (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))))
(fma.f64 -1/2 (/.f64 (.f64 x.re x.re) (/.f64 (/.f64 (.f64 x.im x.im) y.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)))))
(+.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 1/24 (.f64 (-.f64 (.f64 24 (/.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (+.f64 1 x.im)) x.im)) (.f64 3 (/.f64 1 (pow.f64 x.im 4)))) (.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.re 4))))
(+.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 -1/2 (/.f64 (.f64 x.re x.re) (/.f64 (.f64 x.im x.im) (.f64 y.im (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (+.f64 (.f64 -1/8 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im)))) (.f64 -1/24 (.f64 (.f64 y.im (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (fma.f64 24 (/.f64 (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2)))) (/.f64 x.im (+.f64 x.im 1))) (neg.f64 (/.f64 3 (pow.f64 x.im 4))))))) (pow.f64 x.re 4))))
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(fma.f64 -1/2 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.re y.re))) (-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (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 y.re y.re) (.f64 (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (pow.f64 (atan2.f64 x.im 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)))))))))
(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 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.re y.re))) (-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))) 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))))
(+.f64 1 x.im)
(+.f64 x.im 1)
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
(+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(+.f64 1 (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)))
(fma.f64 (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2)))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(+.f64 1 (fma.f64 (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2)))) (/.f64 -1/8 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2))))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im)))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 (pow.f64 x.re 6) (.f64 (+.f64 1 x.im) (+.f64 (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3))))) (.f64 (+.f64 1 x.im) x.im))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (.f64 1/720 (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 4)))) (.f64 45 (/.f64 1 (*.f64 (+.f64 1 x.im) (pow.f64 x.im 5))))))))))) x.im))))
(fma.f64 (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2)))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (+.f64 1 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (fma.f64 (pow.f64 x.re 6) (.f64 (+.f64 x.im 1) (fma.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (.f64 x.im (+.f64 x.im 1))) (+.f64 (/.f64 1/48 (.f64 (pow.f64 x.im 3) (pow.f64 (+.f64 x.im 1) 3))) (.f64 1/720 (+.f64 (/.f64 30 (.f64 (pow.f64 x.im 3) (pow.f64 (+.f64 x.im 1) 3))) (+.f64 (/.f64 45 (.f64 (pow.f64 x.im 4) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 45 (*.f64 (+.f64 x.im 1) (pow.f64 x.im 5))))))))) x.im))))
(+.f64 1 (fma.f64 (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2)))) (/.f64 -1/8 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2))))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 (fma.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2)))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (+.f64 x.im (.f64 x.im x.im))) (fma.f64 1/720 (+.f64 (/.f64 (/.f64 30 (pow.f64 x.im 3)) (pow.f64 (+.f64 x.im 1) 3)) (+.f64 (/.f64 (/.f64 45 (pow.f64 x.im 4)) (pow.f64 (+.f64 x.im 1) 2)) (/.f64 45 (.f64 (+.f64 x.im 1) (pow.f64 x.im 5))))) (/.f64 1/48 (.f64 (pow.f64 x.im 3) (pow.f64 (+.f64 x.im 1) 3))))) (*.f64 (+.f64 x.im 1) (pow.f64 x.re 6)) x.im))))
x.re
(+.f64 1 x.re)
(+.f64 x.re 1)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (.f64 1/2 (/.f64 1 x.re)) x.re)))
(+.f64 1 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 x.im x.im) -1) x.re) (+.f64 x.re (/.f64 1/2 x.re))))
(+.f64 1 (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.im x.im -1) x.re) (/.f64 1/2 x.re)) x.re))
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) (pow.f64 x.re 2))) (+.f64 x.re (.f64 1/6 (/.f64 1 (pow.f64 x.re 2)))))))))
(fma.f64 1/6 (/.f64 (+.f64 2 (.f64 (.f64 x.im x.im) -3)) (.f64 x.re x.re)) (+.f64 1 (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.im x.im) -1) x.re) (+.f64 (/.f64 1/2 x.re) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.im x.im) -1) (.f64 x.re x.re)) (+.f64 x.re (/.f64 1/6 (*.f64 x.re x.re))))))))
(+.f64 (fma.f64 1/6 (/.f64 (fma.f64 (.f64 x.im x.im) -3 2) (.f64 x.re x.re)) 1) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.im x.im -1) x.re) (/.f64 1/2 x.re)) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.im x.im -1) (.f64 x.re x.re)) x.re) (/.f64 1/6 (.f64 x.re x.re)))))
(*.f64 -1 x.re)
(neg.f64 x.re)
(+.f64 1 (*.f64 -1 x.re))
(+.f64 1 (neg.f64 x.re))
(-.f64 1 x.re)
(+.f64 1 (+.f64 (.f64 -1 x.re) (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 (-.f64 (pow.f64 x.im 2) 1))) x.re))))
(+.f64 1 (.f64 -1 (+.f64 x.re (/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (*.f64 x.im x.im) -1))) x.re))))
(-.f64 (-.f64 1 x.re) (/.f64 (fma.f64 1/2 (fma.f64 x.im x.im -1) 1/2) x.re))
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) (pow.f64 x.re 2))) (+.f64 (.f64 -1 x.re) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.re 2))) (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 (-.f64 (pow.f64 x.im 2) 1))) x.re)))))))
(fma.f64 1/6 (/.f64 (+.f64 2 (.f64 (.f64 x.im x.im) -3)) (.f64 x.re x.re)) (+.f64 1 (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.im x.im) -1) (.f64 x.re x.re)) (fma.f64 -1 x.re (+.f64 (/.f64 1/6 (.f64 x.re x.re)) (neg.f64 (/.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (.f64 x.im x.im) -1))) x.re)))))))
(+.f64 (fma.f64 1/6 (/.f64 (fma.f64 (.f64 x.im x.im) -3 2) (.f64 x.re x.re)) 1) (fma.f64 1/2 (/.f64 (fma.f64 x.im x.im -1) (.f64 x.re x.re)) (-.f64 (-.f64 (/.f64 1/6 (.f64 x.re x.re)) (/.f64 (fma.f64 1/2 (fma.f64 x.im x.im -1) 1/2) x.re)) x.re)))
(+.f64 1 x.re)
(+.f64 x.re 1)
(+.f64 1 (+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 1 (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re))))
(+.f64 1 (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re))
(+.f64 (.f64 (pow.f64 x.im 4) (.f64 (+.f64 1 x.re) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))))) (+.f64 1 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))))
(fma.f64 (pow.f64 x.im 4) (.f64 (+.f64 x.re 1) (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))) (/.f64 3 (.f64 (pow.f64 x.re 3) (+.f64 x.re 1)))) (/.f64 1/8 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))))) (+.f64 1 (+.f64 x.re (.f64 1/2 (/.f64 (.f64 x.im x.im) x.re)))))
(fma.f64 (.f64 (pow.f64 x.im 4) (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))) (/.f64 -1/8 (+.f64 (pow.f64 x.re 4) (pow.f64 x.re 3)))) (/.f64 1/8 (.f64 x.re (*.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))))) (+.f64 x.re 1) (+.f64 1 (fma.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)) x.re)))
(+.f64 (.f64 (pow.f64 x.im 4) (.f64 (+.f64 1 x.re) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))))) (+.f64 1 (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 5) (+.f64 1 x.re)))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 4) (pow.f64 (+.f64 1 x.re) 2))))))) (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re))))) (.f64 x.re (+.f64 1 x.re)))))) (*.f64 (pow.f64 x.im 6) (+.f64 1 x.re)))))))
(fma.f64 (pow.f64 x.im 4) (.f64 (+.f64 x.re 1) (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))) (/.f64 3 (.f64 (pow.f64 x.re 3) (+.f64 x.re 1)))) (/.f64 1/8 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))))) (+.f64 1 (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 (fma.f64 1/720 (+.f64 (/.f64 45 (.f64 (+.f64 x.re 1) (pow.f64 x.re 5))) (+.f64 (/.f64 30 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 x.re 1) 3))) (/.f64 45 (.f64 (pow.f64 x.re 4) (pow.f64 (+.f64 x.re 1) 2))))) (+.f64 (/.f64 1/48 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 x.re 1) 3))) (.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))) (/.f64 3 (.f64 (pow.f64 x.re 3) (+.f64 x.re 1)))) (.f64 x.re (+.f64 x.re 1)))))) (.f64 (pow.f64 x.im 6) (+.f64 x.re 1)))))))
(+.f64 (fma.f64 (pow.f64 x.im 4) (.f64 (+.f64 x.re 1) (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))) (/.f64 -1/8 (+.f64 (pow.f64 x.re 4) (pow.f64 x.re 3)))) (/.f64 1/8 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))))) 1) (+.f64 x.re (fma.f64 (fma.f64 1/720 (+.f64 (/.f64 30 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 x.re 1) 3))) (+.f64 (/.f64 (/.f64 45 (pow.f64 x.re 4)) (pow.f64 (+.f64 x.re 1) 2)) (/.f64 45 (+.f64 (pow.f64 x.re 6) (pow.f64 x.re 5))))) (fma.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))) (/.f64 3 (+.f64 (pow.f64 x.re 4) (pow.f64 x.re 3)))) (+.f64 x.re (.f64 x.re x.re))) (/.f64 (/.f64 1/48 (pow.f64 x.re 3)) (pow.f64 (+.f64 x.re 1) 3)))) (.f64 (pow.f64 x.im 6) (+.f64 x.re 1)) (*.f64 1/2 (/.f64 x.im (/.f64 x.re x.im))))))
x.im
(+.f64 1 x.im)
(+.f64 x.im 1)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 x.im (.f64 1/2 (/.f64 1 x.im)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 x.re x.re) -1) x.im) (+.f64 x.im (/.f64 1/2 x.im))))
(+.f64 1 (fma.f64 1/2 (/.f64 (fma.f64 x.re x.re -1) x.im) (+.f64 x.im (/.f64 1/2 x.im))))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) (pow.f64 x.im 2))) (+.f64 x.im (.f64 1/2 (/.f64 1 x.im))))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (+.f64 2 (.f64 (.f64 x.re x.re) -3)) (.f64 x.im x.im)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.re x.re) -1) x.im) (+.f64 (/.f64 1/6 (.f64 x.im x.im)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.re x.re) -1) (*.f64 x.im x.im)) (+.f64 x.im (/.f64 1/2 x.im)))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 (.f64 x.re x.re) -3 2) (.f64 x.im x.im)) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.re x.re -1) x.im) (/.f64 1/6 (.f64 x.im x.im))) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.re x.re -1) (.f64 x.im x.im)) x.im) (/.f64 1/2 x.im)))))
(*.f64 -1 x.im)
(neg.f64 x.im)
(+.f64 1 (*.f64 -1 x.im))
(+.f64 1 (neg.f64 x.im))
(-.f64 1 x.im)
(+.f64 1 (+.f64 (.f64 -1 x.im) (.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (-.f64 (pow.f64 x.re 2) 1)) 1/2) x.im))))
(+.f64 1 (.f64 -1 (+.f64 x.im (/.f64 (fma.f64 1/2 (+.f64 (.f64 x.re x.re) -1) 1/2) x.im))))
(-.f64 (-.f64 1 x.im) (/.f64 (fma.f64 1/2 (fma.f64 x.re x.re -1) 1/2) x.im))
(+.f64 1 (+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) (pow.f64 x.im 2))) (+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) (pow.f64 x.im 2))) (.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (-.f64 (pow.f64 x.re 2) 1)) 1/2) x.im)))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (+.f64 2 (.f64 (.f64 x.re x.re) -3)) (.f64 x.im x.im)) (fma.f64 -1 x.im (+.f64 (/.f64 1/6 (.f64 x.im x.im)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.re x.re) -1) (.f64 x.im x.im)) (neg.f64 (/.f64 (fma.f64 1/2 (+.f64 (*.f64 x.re x.re) -1) 1/2) x.im)))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 (.f64 x.re x.re) -3 2) (.f64 x.im x.im)) (-.f64 (+.f64 (/.f64 1/6 (.f64 x.im x.im)) (-.f64 (.f64 1/2 (/.f64 (fma.f64 x.re x.re -1) (*.f64 x.im x.im))) (/.f64 (fma.f64 1/2 (fma.f64 x.re x.re -1) 1/2) x.im))) 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)
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
(fma.f64 (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2)))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (fma.f64 1/2 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(fma.f64 (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2)))) (/.f64 -1/8 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2))))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) x.im))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2))))) (.f64 (pow.f64 x.re 4) (+.f64 1 x.im))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 4)))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))) (.f64 45 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 5))))))) (+.f64 (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 2) (pow.f64 x.im 2)))) (.f64 3 (/.f64 1 (.f64 (+.f64 1 x.im) (pow.f64 x.im 3))))) (.f64 (+.f64 1 x.im) x.im))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (+.f64 1 x.im) 3) (pow.f64 x.im 3)))))) (*.f64 (pow.f64 x.re 6) (+.f64 1 x.im))) x.im)))
(fma.f64 (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2)))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) (fma.f64 (fma.f64 1/720 (+.f64 (/.f64 45 (.f64 (pow.f64 x.im 4) (pow.f64 (+.f64 x.im 1) 2))) (+.f64 (/.f64 30 (.f64 (pow.f64 x.im 3) (pow.f64 (+.f64 x.im 1) 3))) (/.f64 45 (.f64 (+.f64 x.im 1) (pow.f64 x.im 5))))) (fma.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.im 1) 2))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (.f64 x.im (+.f64 x.im 1))) (/.f64 1/48 (.f64 (pow.f64 x.im 3) (pow.f64 (+.f64 x.im 1) 3))))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 6)) x.im)))
(fma.f64 (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2)))) (/.f64 -1/8 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (/.f64 1/8 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2))))) (.f64 (+.f64 x.im 1) (pow.f64 x.re 4)) (fma.f64 1/2 (/.f64 x.re (/.f64 x.im x.re)) (fma.f64 (fma.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 x.im (.f64 x.im (pow.f64 (+.f64 x.im 1) 2)))) (/.f64 3 (.f64 (+.f64 x.im 1) (pow.f64 x.im 3)))) (+.f64 x.im (.f64 x.im x.im))) (fma.f64 1/720 (+.f64 (/.f64 (/.f64 30 (pow.f64 x.im 3)) (pow.f64 (+.f64 x.im 1) 3)) (+.f64 (/.f64 (/.f64 45 (pow.f64 x.im 4)) (pow.f64 (+.f64 x.im 1) 2)) (/.f64 45 (.f64 (+.f64 x.im 1) (pow.f64 x.im 5))))) (/.f64 1/48 (.f64 (pow.f64 x.im 3) (pow.f64 (+.f64 x.im 1) 3))))) (*.f64 (+.f64 x.im 1) (pow.f64 x.re 6)) x.im)))
(-.f64 (pow.f64 (/.f64 1 x.re) -1) 1)
(+.f64 (/.f64 1 (/.f64 1 x.re)) -1)
(+.f64 x.re -1)
(pow.f64 (/.f64 1 x.re) -1)
x.re
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (pow.f64 (/.f64 1 x.re) -1) (.f64 1/2 (/.f64 1 x.re))))
(fma.f64 1/2 (/.f64 (+.f64 (*.f64 x.im x.im) -1) x.re) (+.f64 (/.f64 1 (/.f64 1 x.re)) (/.f64 1/2 x.re)))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.im x.im -1) x.re) (/.f64 1/2 x.re)) x.re)
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (+.f64 (.f64 1/2 (/.f64 1 x.re)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) (pow.f64 x.re 2))) (+.f64 (pow.f64 (/.f64 1 x.re) -1) (.f64 1/6 (/.f64 1 (pow.f64 x.re 2))))))))
(fma.f64 1/6 (/.f64 (+.f64 2 (.f64 (.f64 x.im x.im) -3)) (.f64 x.re x.re)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.im x.im) -1) x.re) (+.f64 (/.f64 1/2 x.re) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.im x.im) -1) (.f64 x.re x.re)) (+.f64 (/.f64 1 (/.f64 1 x.re)) (/.f64 1/6 (*.f64 x.re x.re)))))))
(fma.f64 1/6 (/.f64 (fma.f64 (.f64 x.im x.im) -3 2) (.f64 x.re x.re)) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.im x.im -1) x.re) (/.f64 1/2 x.re)) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.im x.im -1) (.f64 x.re x.re)) x.re) (/.f64 1/6 (.f64 x.re x.re)))))
(-.f64 (pow.f64 (/.f64 -1 x.re) -1) 1)
(+.f64 (/.f64 1 (/.f64 -1 x.re)) -1)
(+.f64 (neg.f64 x.re) -1)
(pow.f64 (/.f64 -1 x.re) -1)
(neg.f64 x.re)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (pow.f64 (/.f64 -1 x.re) -1)) (.f64 1/2 (/.f64 1 x.re)))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 x.im x.im) -1) x.re) (/.f64 1 (/.f64 -1 x.re))) (/.f64 1/2 x.re))
(fma.f64 -1/2 (/.f64 (fma.f64 x.im x.im -1) x.re) (+.f64 (neg.f64 x.re) (/.f64 -1/2 x.re)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (.f64 (+.f64 2 (.f64 -3 (pow.f64 x.im 2))) x.re)) (+.f64 (.f64 -1/6 x.re) (.f64 -1/2 (.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)))) (pow.f64 x.re 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.im 2) 1) x.re)) (pow.f64 (/.f64 -1 x.re) -1))) (*.f64 1/2 (/.f64 1 x.re)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/6 (.f64 x.re (+.f64 2 (.f64 (.f64 x.im x.im) -3))) (fma.f64 -1/6 x.re (.f64 -1/2 (.f64 x.re (+.f64 (.f64 x.im x.im) -1))))) (pow.f64 x.re 3)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 x.im x.im) -1) x.re) (/.f64 1 (/.f64 -1 x.re)))) (/.f64 1/2 x.re))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 x.im x.im -1) x.re) (neg.f64 x.re)) (/.f64 (fma.f64 -1/6 (.f64 x.re (fma.f64 (.f64 x.im x.im) -3 2)) (.f64 x.re (+.f64 (.f64 -1/2 (fma.f64 x.im x.im -1)) -1/6))) (pow.f64 x.re 3))) (/.f64 -1/2 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 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 (pow.f64 x.im 4) (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))) (+.f64 1 x.re)))))
(+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 (pow.f64 x.im 4) (.f64 (+.f64 x.re 1) (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))) (/.f64 3 (.f64 (pow.f64 x.re 3) (+.f64 x.re 1)))) (/.f64 1/8 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))))))))
(+.f64 x.re (fma.f64 (.f64 (pow.f64 x.im 4) (+.f64 x.re 1)) (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))) (/.f64 -1/8 (+.f64 (pow.f64 x.re 4) (pow.f64 x.re 3)))) (/.f64 1/8 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2))))) (.f64 1/2 (/.f64 x.im (/.f64 x.re x.im)))))
(+.f64 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (+.f64 (.f64 1/720 (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 4) (pow.f64 (+.f64 1 x.re) 2)))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 1 x.re) 3)))) (.f64 45 (/.f64 1 (.f64 (pow.f64 x.re 5) (+.f64 1 x.re))))))) (.f64 -1/48 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re))))) (.f64 x.re (+.f64 1 x.re)))))) (.f64 (pow.f64 x.im 6) (+.f64 1 x.re))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 (pow.f64 x.im 4) (.f64 (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2)))) (.f64 3 (/.f64 1 (.f64 (pow.f64 x.re 3) (+.f64 1 x.re)))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x.re 2) (pow.f64 (+.f64 1 x.re) 2))))) (+.f64 1 x.re))))))
(fma.f64 (+.f64 (/.f64 1/48 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 x.re 1) 3))) (fma.f64 1/720 (+.f64 (/.f64 45 (.f64 (+.f64 x.re 1) (pow.f64 x.re 5))) (+.f64 (/.f64 30 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 x.re 1) 3))) (/.f64 45 (.f64 (pow.f64 x.re 4) (pow.f64 (+.f64 x.re 1) 2))))) (.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))) (/.f64 3 (.f64 (pow.f64 x.re 3) (+.f64 x.re 1)))) (.f64 x.re (+.f64 x.re 1)))))) (.f64 (pow.f64 x.im 6) (+.f64 x.re 1)) (+.f64 x.re (fma.f64 1/2 (/.f64 (.f64 x.im x.im) x.re) (.f64 (pow.f64 x.im 4) (.f64 (+.f64 x.re 1) (fma.f64 -1/24 (+.f64 (/.f64 3 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2))) (/.f64 3 (.f64 (pow.f64 x.re 3) (+.f64 x.re 1)))) (/.f64 1/8 (.f64 (.f64 x.re x.re) (pow.f64 (+.f64 x.re 1) 2)))))))))
(fma.f64 (fma.f64 1/720 (+.f64 (/.f64 30 (.f64 (pow.f64 x.re 3) (pow.f64 (+.f64 x.re 1) 3))) (+.f64 (/.f64 (/.f64 45 (pow.f64 x.re 4)) (pow.f64 (+.f64 x.re 1) 2)) (/.f64 45 (+.f64 (pow.f64 x.re 6) (pow.f64 x.re 5))))) (fma.f64 -1/48 (/.f64 (+.f64 (/.f64 3 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))) (/.f64 3 (+.f64 (pow.f64 x.re 4) (pow.f64 x.re 3)))) (+.f64 x.re (.f64 x.re x.re))) (/.f64 (/.f64 1/48 (pow.f64 x.re 3)) (pow.f64 (+.f64 x.re 1) 3)))) (.f64 (pow.f64 x.im 6) (+.f64 x.re 1)) (+.f64 x.re (fma.f64 (.f64 (pow.f64 x.im 4) (+.f64 x.re 1)) (+.f64 (+.f64 (/.f64 -1/8 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2)))) (/.f64 -1/8 (+.f64 (pow.f64 x.re 4) (pow.f64 x.re 3)))) (/.f64 1/8 (.f64 x.re (.f64 x.re (pow.f64 (+.f64 x.re 1) 2))))) (*.f64 1/2 (/.f64 x.im (/.f64 x.re x.im))))))
(-.f64 (pow.f64 (/.f64 1 x.im) -1) 1)
(+.f64 (/.f64 1 (/.f64 1 x.im)) -1)
(+.f64 x.im -1)
(pow.f64 (/.f64 1 x.im) -1)
x.im
(+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 (pow.f64 (/.f64 1 x.im) -1) (.f64 1/2 (/.f64 1 x.im))))
(fma.f64 1/2 (/.f64 (+.f64 (*.f64 x.re x.re) -1) x.im) (+.f64 (/.f64 1 (/.f64 1 x.im)) (/.f64 1/2 x.im)))
(fma.f64 1/2 (/.f64 (fma.f64 x.re x.re -1) x.im) (+.f64 x.im (/.f64 1/2 x.im)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) (pow.f64 x.im 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (+.f64 (pow.f64 (/.f64 1 x.im) -1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) (pow.f64 x.im 2))) (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 x.im 2))) (.f64 1/2 (/.f64 1 x.im)))))))
(fma.f64 1/6 (/.f64 (+.f64 2 (.f64 (.f64 x.re x.re) -3)) (.f64 x.im x.im)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.re x.re) -1) x.im) (+.f64 (/.f64 1 (/.f64 1 x.im)) (fma.f64 1/2 (/.f64 (+.f64 (.f64 x.re x.re) -1) (.f64 x.im x.im)) (+.f64 (/.f64 1/2 x.im) (/.f64 1/6 (*.f64 x.im x.im)))))))
(fma.f64 1/6 (/.f64 (fma.f64 (.f64 x.re x.re) -3 2) (.f64 x.im x.im)) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.re x.re -1) x.im) x.im) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 x.re x.re -1) (.f64 x.im x.im)) (/.f64 1/6 (.f64 x.im x.im))) (/.f64 1/2 x.im))))
(-.f64 (pow.f64 (/.f64 -1 x.im) -1) 1)
(+.f64 (/.f64 1 (/.f64 -1 x.im)) -1)
(+.f64 (neg.f64 x.im) -1)
(pow.f64 (/.f64 -1 x.im) -1)
(neg.f64 x.im)
(-.f64 (+.f64 (pow.f64 (/.f64 -1 x.im) -1) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im))) (.f64 1/2 (/.f64 1 x.im)))
(+.f64 (/.f64 1 (/.f64 -1 x.im)) (-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 x.re x.re) -1) x.im)) (/.f64 1/2 x.im)))
(+.f64 (neg.f64 x.im) (fma.f64 -1/2 (/.f64 (fma.f64 x.re x.re -1) x.im) (/.f64 -1/2 x.im)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 x.im) (+.f64 (.f64 -1/2 (.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)) (.f64 -1/6 (.f64 (+.f64 2 (.f64 -3 (pow.f64 x.re 2))) x.im)))) (pow.f64 x.im 3))) (+.f64 (pow.f64 (/.f64 -1 x.im) -1) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 x.re 2) 1) x.im)))) (*.f64 1/2 (/.f64 1 x.im)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/6 x.im (fma.f64 -1/2 (.f64 x.im (+.f64 (.f64 x.re x.re) -1)) (.f64 -1/6 (.f64 x.im (+.f64 2 (.f64 (.f64 x.re x.re) -3)))))) (pow.f64 x.im 3)) (+.f64 (/.f64 1 (/.f64 -1 x.im)) (.f64 -1/2 (/.f64 (+.f64 (.f64 x.re x.re) -1) x.im)))) (/.f64 1/2 x.im))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 x.re x.re -1) x.im) (neg.f64 x.im)) (/.f64 (fma.f64 x.im -1/6 (.f64 x.im (+.f64 (.f64 -1/2 (fma.f64 x.re x.re -1)) (.f64 -1/6 (fma.f64 (.f64 x.re x.re) -3 2))))) (pow.f64 x.im 3))) (/.f64 -1/2 x.im))

eval1.0s (3.6%)

Compiler: Compiled 66859 to 29102 computations (56.5% saved)

prune312.0ms (1.1%)

Pruning

45 alts after pruning (45 fresh and 0 done)

	Pruned	Kept	Total
New	1231	34	1265
Fresh	19	11	30
Picked	1	0	1
Done	4	0	4
Total	1255	45	1300

Error

3.3b

Counts

1300 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	9.1b	(.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	16.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	15.8b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))
	19.2b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	40.9b	(.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 y.im (log.f64 x.re))))
	45.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (hypot.f64 x.re x.im)))) (cbrt.f64 (exp.f64 (+.f64 1 (hypot.f64 x.re x.im)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (hypot.f64 x.re x.im)))))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	19.7b	(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (.f64 1/2 (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)))))
	31.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 x.re x.im))) 2) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	9.1b	(*.f64 (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) 1)
	26.5b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)))) 2))
	42.1b	(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
	15.9b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))
	19.2b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	37.2b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) 1/3)))) 2))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	37.1b	(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	37.0b	(.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)
	27.7b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sin.f64 1))))
	20.6b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (pow.f64 (sqrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 2)) 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)))))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (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)))))) (.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)))))
	37.8b	(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
	20.1b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	23.0b	(.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)) (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))
	37.2b	(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	19.2b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	19.4b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	10.0b	(.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))))
	16.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	46.3b	(.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 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	56.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (+.f64 1 x.re) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
	16.1b	(.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)
▶	41.3b	(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
	45.1b	(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
	32.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	16.2b	(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	31.2b	(.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 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 x.re x.im)))) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 x.re x.im)) 2) (+.f64 (+.f64 1 (hypot.f64 x.re x.im)) 1)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	43.7b	(.f64 (exp.f64 (-.f64 (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 (atan2.f64 x.im x.re) y.im))) 1)
	31.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log1p.f64 (hypot.f64 x.re x.im)))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	15.8b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))))))

Compiler

Compiled 2608 to 1654 computations (36.6% saved)

localize48.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	0.0b	(sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))
	0.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (.f64 1/2 (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)))))
	0.0b	(hypot.f64 x.re x.im)
	0.8b	(exp.f64 (exp.f64 (atan2.f64 x.im x.re)))
	1.0b	(log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))
	1.6b	(*.f64 y.re (atan2.f64 x.im x.re))
	31.9b	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 167 to 36 computations (78.4% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 x.im x.re)
✓	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.re	@	-inf	(hypot.f64 x.im x.re)
0.0ms	x.im	@	inf	(hypot.f64 x.im x.re)
0.0ms	x.re	@	0	(hypot.f64 x.im x.re)

rewrite40.0ms (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))))))

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 75

Calls

Call 1

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

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

localize34.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.1b	(*.f64 y.im (atan2.f64 x.im x.re))
	0.1b	(*.f64 (log.f64 (/.f64 -1 x.im)) y.im)
	0.0b	(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
	0.0b	(log.f64 (/.f64 -1 x.im))
✓	0.0b	(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
✓	0.1b	(*.f64 (log.f64 (/.f64 -1 x.im)) y.im)
✓	2.1b	(*.f64 y.im (atan2.f64 x.im x.re))
✓	12.0b	(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))

Compiler

Compiled 79 to 45 computations (43% saved)

series221.0ms (0.8%)

Counts

4 → 64

Calls

30 calls:

Time	Variable		Point	Expression
153.0ms	x.im	@	-inf	(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
21.0ms	y.im	@	0	(*.f64 (log.f64 (/.f64 -1 x.im)) y.im)
13.0ms	x.im	@	0	(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))
13.0ms	x.re	@	0	(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
8.0ms	x.im	@	inf	(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`prod-diff_binary64`
696×	`log-prod_binary64`
238×	`pow1/3_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	297	49
2	3629	49

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

825×	`distribute-rgt-in_binary64`
818×	`distribute-lft-in_binary64`
532×	`fma-neg_binary64`
340×	`unswap-sqr_binary64`
314×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1410
1	194	1151
2	502	1149
3	2267	1090
4	7893	1090

Stop Event

1×	node limit

Counts

155 → 116

Calls

Call 1

Inputs
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 4) (pow.f64 y.im 4))) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 4) (pow.f64 y.im 4))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 6) (pow.f64 y.im 6))) (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2))))))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
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1
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (.f64 (+.f64 (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) (pow.f64 y.im 2))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.im 3)) (+.f64 1 (.f64 (+.f64 (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) (pow.f64 y.im 2)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
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(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
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(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
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Outputs
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(cos.f64 (neg.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
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(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x.im))) y.im)))
(cos.f64 (neg.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
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(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
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(cos.f64 (neg.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(cos.f64 (neg.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(cos.f64 (neg.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
(cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)))
(cos.f64 (neg.f64 (*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))))
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2))))
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(fma.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 y.im y.im)) 1)
(fma.f64 -1/2 (.f64 y.im (.f64 y.im (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) 1)
(+.f64 (.f64 1/24 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 4) (pow.f64 y.im 4))) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (pow.f64 y.im 2)))))
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(fma.f64 1/24 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 4) (pow.f64 y.im 4)) (fma.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (*.f64 y.im y.im)) 1))
(fma.f64 1/24 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 4) (pow.f64 y.im 4)) (fma.f64 -1/2 (.f64 y.im (*.f64 y.im (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) 1))
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(fma.f64 1/24 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 4) (pow.f64 y.im 4)) (fma.f64 -1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 y.im y.im)) (fma.f64 -1/720 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 6) (pow.f64 y.im 6)) 1)))
(fma.f64 1/24 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 4) (pow.f64 y.im 4)) (fma.f64 -1/2 (.f64 y.im (.f64 y.im (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) (fma.f64 -1/720 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 6) (pow.f64 y.im 6)) 1)))
(*.f64 (atan2.f64 x.im x.re) y.im)
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(*.f64 (atan2.f64 x.im x.re) y.im)
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(*.f64 (atan2.f64 x.im x.re) y.im)
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(*.f64 (atan2.f64 x.im x.re) y.im)
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(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im)
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im)
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im)
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im)
(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
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(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)
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(*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)
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(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
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(*.f64 y.im (log.f64 (/.f64 -1 x.im)))
(*.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x.im))) y.im)
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(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
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(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
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(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
1
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(fma.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(-.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 1 (.f64 (+.f64 (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) (pow.f64 y.im 2))))
(+.f64 (fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) 1) (.f64 (.f64 y.im y.im) (fma.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2)))))
(-.f64 (fma.f64 (.f64 y.im y.im) (fma.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) 1) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 1 (.f64 y.im (-.f64 (.f64 y.im (fma.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (*.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2)))) (atan2.f64 x.im x.re))))
(+.f64 1 (.f64 y.im (fma.f64 y.im (fma.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (neg.f64 (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.im 3)) (+.f64 1 (.f64 (+.f64 (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2)) (*.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2))) (pow.f64 y.im 2)))))
(fma.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)) (fma.f64 (fma.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.im 3) (+.f64 1 (.f64 (.f64 y.im y.im) (fma.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2)))))))
(-.f64 (fma.f64 (fma.f64 1/2 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (atan2.f64 x.im x.re)) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.im 3) (fma.f64 (.f64 y.im y.im) (fma.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) 1)) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (atan2.f64 x.im x.re) 1/2) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.im 3) (-.f64 (fma.f64 (.f64 y.im y.im) (fma.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) 1) (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 1 (.f64 y.im (-.f64 (.f64 y.im (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 y.im (fma.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (atan2.f64 x.im x.re) 1/2) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)))))) (atan2.f64 x.im x.re))))
(+.f64 1 (.f64 y.im (fma.f64 y.im (+.f64 (fma.f64 -1/2 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 y.im (fma.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 2) (.f64 (atan2.f64 x.im x.re) 1/2) (*.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))))) (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
(.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 x.im))) y.im))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 (neg.f64 y.im)) (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

localize54.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	0.0b	(+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.0b	(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	7.3b	(log.f64 (fma.f64 1/2 (*.f64 (/.f64 x.re x.im) x.re) x.im))
✓	14.3b	(cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	24.9b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 206 to 45 computations (78.2% saved)

series23.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`log-prod_binary64`
394×	`fma-def_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
280×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	319	38
2	4227	38

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

393×	`associate-*l/_binary64`
393×	`associate-/r/_binary64`
345×	`associate-*r/_binary64`
301×	`fma-def_binary64`
277×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	4588
1	1056	4421
2	3915	4318

Stop Event

1×	node limit

Counts

142 → 168

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 (pow.f64 x.re 4) (-.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 -1/8 (/.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)))))))
(+.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 (pow.f64 x.re 4) (-.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 -1/8 (/.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))))) (.f64 (-.f64 (.f64 1/16 (/.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 1/24 (/.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 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im)))
(+.f64 (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 2))) (+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4)))))) (+.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (+.f64 (.f64 8/3 (.f64 y.im (pow.f64 x.im 6))) (.f64 -4/3 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))) (pow.f64 x.re 6)) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (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 (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (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 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))) (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (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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(log.f64 x.im)
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(+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.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 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.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 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 -1 (log.f64 x.im)) (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 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))))
(+.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 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im)))))
(+.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 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))))))
(*.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))))))
(+.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)))))

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 (.f64 x.re x.re) y.im) (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 x.re (/.f64 x.im x.re)) (/.f64 (.f64 y.im (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 y.im (.f64 x.re x.re)) x.im) (/.f64 (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 4) (-.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 -1/8 (/.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)))))))
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(+.f64 (.f64 (pow.f64 x.re 4) (.f64 -1/8 (-.f64 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (/.f64 y.im (pow.f64 x.im 4)) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))))) (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 (fma.f64 (pow.f64 x.re 4) (.f64 -1/8 (-.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.im 4) (.f64 y.im y.im))) (.f64 (/.f64 y.im (pow.f64 x.im 4)) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (-.f64 (.f64 1/16 (.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im 6)) (.f64 y.im y.im))) (.f64 (fma.f64 1/24 (/.f64 y.im (pow.f64 x.im 6)) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (fma.f64 -1/2 (.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 (.f64 y.im (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) x.im)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (fma.f64 (pow.f64 x.re 4) (.f64 -1/8 (-.f64 (.f64 (/.f64 (.f64 y.im y.im) (pow.f64 x.im 4)) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (/.f64 y.im (pow.f64 x.im 4)) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))))) (.f64 (-.f64 (.f64 (/.f64 1/16 (/.f64 (pow.f64 x.im 6) (.f64 y.im y.im))) (cos.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (fma.f64 1/24 (/.f64 y.im (pow.f64 x.im 6)) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (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))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (neg.f64 (log.f64 x.re)))))))
(cos.f64 (fma.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (/.f64 1/2 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 2 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))
(fma.f64 -2 (/.f64 y.im (/.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (neg.f64 (log.f64 x.re)))))))))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (neg.f64 (log.f64 x.re))))))))
(fma.f64 -2 (.f64 (/.f64 (.f64 x.im (.f64 x.im y.im)) x.re) (/.f64 (sin.f64 (fma.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (/.f64 1/2 x.im))) (.f64 y.re (atan2.f64 x.im x.re)))) x.re)) (cos.f64 (fma.f64 y.im (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (/.f64 1/2 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 -2 (.f64 (/.f64 y.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (sin.f64 (fma.f64 y.im (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 2 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re))))))) (cos.f64 (fma.f64 y.im (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 2 (log.f64 x.re))) (.f64 y.re (atan2.f64 x.im x.re)))))
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(+.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 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))))))
(fma.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)) (fma.f64 -2 (neg.f64 (log.f64 x.re)) (+.f64 (log.f64 (/.f64 1/2 x.im)) (fma.f64 2 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (/.f64 (*.f64 -2 (pow.f64 x.im 4)) (pow.f64 x.re 4))))))
(fma.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x.re)) (log.f64 (/.f64 1/2 x.im))) (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))))))
(fma.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)) (fma.f64 2 (.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) (fma.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)) (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 2 (log.f64 x.re))))))
(*.f64 -1 (log.f64 (/.f64 1 x.im)))
(log.f64 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))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (log.f64 x.im))
(fma.f64 1/2 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (log.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 -1 (log.f64 (/.f64 1 x.im)))))
(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)) (log.f64 x.im)))
(fma.f64 1/2 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (log.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 -1 (log.f64 (/.f64 1 x.im))))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (fma.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (log.f64 x.im))))
(fma.f64 1/2 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (fma.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (log.f64 x.im))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(fma.f64 -1 (log.f64 (/.f64 -1 x.im)) (log.f64 -1))
(-.f64 (log.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)))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (fma.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)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x.im))))
(fma.f64 1/2 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (-.f64 (log.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 (*.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 (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)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x.im)))))
(fma.f64 1/2 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (-.f64 (log.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 (.f64 -1 (log.f64 (/.f64 -1 x.im))) (log.f64 -1)))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (fma.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (fma.f64 -1 (log.f64 (/.f64 -1 x.im)) (log.f64 -1)))))
(fma.f64 1/2 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (fma.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x.im))))))
(fma.f64 1/2 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (fma.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)) (fma.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x.im))))))

localize32.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	0.0b	(sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	0.0b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	0.0b	(hypot.f64 x.im x.re)
	0.2b	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
✓	0.4b	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
	2.2b	(pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))
	21.6b	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Compiler

Compiled 120 to 17 computations (85.8% saved)

series104.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	y.im	@	inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
17.0ms	x.im	@	inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
16.0ms	y.im	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
8.0ms	x.im	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
8.0ms	x.re	@	0	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
839×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	207	14
2	2363	14

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify279.0ms (1%)

Algorithm

1×	egg-herbie

Rules

817×	`associate-r_binary64`
550×	`associate-l_binary64`
435×	`fma-def_binary64`
315×	`*-commutative_binary64`
279×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	670	8147
1	2251	7222

Stop Event

1×	node limit

Counts

56 → 78

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.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)))) (log.f64 (sqrt.f64 (exp.f64 1))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.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)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (.f64 1/24 (.f64 (+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (exp.f64 1)) (E.f64))) (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (.f64 1/8 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (.f64 (E.f64) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))))) (pow.f64 y.im 4)))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.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)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (exp.f64 1)) (E.f64))) (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (.f64 1/8 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (.f64 (E.f64) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))))) (pow.f64 y.im 4))) (.f64 1/720 (.f64 (pow.f64 y.im 6) (+.f64 (.f64 -15/4 (.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6))) (+.f64 (.f64 360 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6)) (.f64 -1/720 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 6))) (exp.f64 1)) (.f64 -1/4 (/.f64 (.f64 (E.f64) (.f64 (-.f64 (.f64 (E.f64) (+.f64 (.f64 1/24 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (.f64 1/8 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (exp.f64 1)))) 2)) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2))) (exp.f64 1)))))) (.f64 90 (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2) (-.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (.f64 1/8 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (*.f64 (E.f64) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))) (E.f64))))))))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 x.re) y.im)))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2)) (sqrt.f64 (/.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.re) y.im))) (exp.f64 (cos.f64 (.f64 y.im (log.f64 x.re)))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 x.re) y.im))))))
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(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/4 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))) (-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 4)))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 4)))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 2))))) 2)) (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))))))) (pow.f64 x.re 4)))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -15/4 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 3) (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (+.f64 (.f64 90 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (.f64 (pow.f64 x.im 2) (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))) (-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 4)))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 4)))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 2))))) 2))))) (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))))) (.f64 360 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))) (-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 4)))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 4))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 2))))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 3) (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (.f64 1/8 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 6)))))) (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))) (-.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 4))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 4)))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 2))))) 2)) (.f64 y.im (pow.f64 x.im 2)))))) (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))))))) (pow.f64 x.re 6))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3/4 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4)))) (.f64 12 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im)))) (-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y.im 2) (.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (pow.f64 x.im 4)))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))))) (.f64 -1/4 (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 4)))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))))) (.f64 (sin.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))) (.f64 y.im (pow.f64 x.im 2))))) 2)) (exp.f64 (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))))) (pow.f64 x.re 4))))))

Outputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(log.f64 (sqrt.f64 (E.f64)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.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)))) (log.f64 (sqrt.f64 (exp.f64 1))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.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))) (log.f64 (sqrt.f64 (E.f64))))
(fma.f64 -1/4 (.f64 y.im (.f64 y.im (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (log.f64 (sqrt.f64 (E.f64))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.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)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (.f64 1/24 (.f64 (+.f64 (.f64 -3/4 (/.f64 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4) (exp.f64 1)) (E.f64))) (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4)) (.f64 1/8 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 4))) (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (.f64 (E.f64) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))))) (pow.f64 y.im 4)))))
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(fma.f64 1/720 (/.f64 (fma.f64 -15/4 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 x.im 6) (pow.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) 3))) (fma.f64 360 (/.f64 (fma.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re))))) (-.f64 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) (.f64 (.f64 y.im (.f64 x.im x.im)) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) 1/4)))) (fma.f64 1/8 (.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 (pow.f64 x.im 6) (.f64 y.im y.im))) (.f64 (.f64 (pow.f64 x.im 6) (.f64 (pow.f64 y.im 3) -1/48)) (pow.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) 3)))) (.f64 (fma.f64 1/720 (.f64 y.im (.f64 (pow.f64 x.im 6) 120)) (.f64 (pow.f64 x.im 6) (.f64 (pow.f64 y.im 3) -1/48))) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) (.f64 (.f64 1/4 (.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) y.im)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re))))) (fma.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) 2) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) 1/4)))) (pow.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))))) (.f64 (.f64 y.im (.f64 (.f64 x.im x.im) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) -1/4)) 2))))) (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))))) (.f64 90 (/.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) (/.f64 (/.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re))))) (.f64 y.im (.f64 x.im x.im))) (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re))))) (fma.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) 2) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) 1/4)))) (pow.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))))) (.f64 (.f64 y.im (.f64 (.f64 x.im x.im) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) -1/4)) 2))))))) (pow.f64 x.re 6)) (+.f64 (fma.f64 -1/4 (/.f64 (.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) y.im) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))))))) (/.f64 (.f64 1/24 (fma.f64 -3/4 (.f64 (pow.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) 2) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (/.f64 (.f64 12 (-.f64 (.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re))))) (fma.f64 1/8 (.f64 (pow.f64 (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))) 2) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 (.f64 y.im y.im) (pow.f64 x.im 4))) (.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) 1/4)))) (pow.f64 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))))) (.f64 (.f64 y.im (.f64 (.f64 x.im x.im) (sin.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))) -1/4)) 2))) (exp.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.re)))))))) (pow.f64 x.re 4))))

eval2.5s (8.7%)

Compiler: Compiled 65660 to 29993 computations (54.3% saved)

prune395.0ms (1.4%)

Pruning

54 alts after pruning (54 fresh and 0 done)

	Pruned	Kept	Total
New	999	22	1021
Fresh	8	32	40
Picked	1	0	1
Done	4	0	4
Total	1012	54	1066

Error

3.2b

Counts

1066 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(.f64 (pow.f64 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) 1)
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	9.1b	(.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	16.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	31.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log1p.f64 (hypot.f64 x.re x.im)))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	51.3b	(.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 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))) 2) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	35.8b	(*.f64 (pow.f64 x.re y.re) 1)
	15.8b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))
	19.2b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
	40.9b	(.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 y.im (log.f64 x.re))))
	34.2b	(*.f64 (pow.f64 (neg.f64 x.im) y.re) 1)
	37.4b	(-.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))
	45.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (hypot.f64 x.re x.im)))) (cbrt.f64 (exp.f64 (+.f64 1 (hypot.f64 x.re x.im)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (hypot.f64 x.re x.im)))))) 1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	19.7b	(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
	9.0b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	31.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 x.re x.im))) 2) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	9.1b	(*.f64 (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) 1)
	26.5b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)))) 2))
	42.1b	(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
	54.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) x.re) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	15.9b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))
	17.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	41.3b	(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
	41.3b	(.f64 (cos.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 3))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
	37.1b	(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	27.7b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sin.f64 1))))
	52.8b	(.f64 (cos.f64 (.f64 -1 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im) 3) 1/3))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
	20.6b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (pow.f64 (sqrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 2)) 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)))))
	8.9b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (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)))))) (.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)))))
	37.8b	(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
	41.3b	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) 1) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
	37.2b	(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	32.0b	(.f64 (pow.f64 (-.f64 (/.f64 (.f64 x.im x.im) (/.f64 x.re -1/2)) x.re) y.re) 1)
	20.1b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	31.8b	(*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)
	34.3b	(*.f64 (pow.f64 x.im y.re) 1)
	50.6b	(.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))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))) y.im))))
	10.0b	(.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))))
	47.2b	(.f64 (cos.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
	16.0b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	41.7b	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
	56.6b	(.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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (+.f64 1 x.re) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.3b	(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
	48.2b	(.f64 (cos.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
	45.1b	(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
	38.1b	(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) 3)))))))
	32.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	47.3b	(.f64 (pow.f64 (-.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)) y.re) 1)
	41.2b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
	15.8b	(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))))))
	37.2b	(.f64 1 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
	19.4b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	8.8b	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (-.f64 (+.f64 1 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 1) (.f64 1/2 (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 1442 to 959 computations (33.5% saved)

regimes1.2s (4.2%)

Counts

114 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.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))) 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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (-.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)) y.re) 1)
(.f64 (exp.f64 (-.f64 (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 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)) 1)
(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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.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.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) 1) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 3))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im) 3) 1/3))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(*.f64 (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) 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.im (log.f64 x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.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 (cos.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.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) (+.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)))))) (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 (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 (.f64 (log.f64 (-.f64 (+.f64 1 x.re) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
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(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (sin.f64 1))))
(.f64 (/.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)) (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))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))) (sin.f64 1))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.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)))))) (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))

Outputs

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

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

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

Calls

5 calls:

330.0ms	y.im
314.0ms	x.im
252.0ms	x.re
188.0ms	y.re
24.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.6b	2	`x.re`
7.6b	2	`x.im`
6.1b	2	`y.re`
5.2b	3	`y.im`
5.8b	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 2951 to 842 computations (71.5% saved)

bsearch408.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	7.043682786762876e+28	2.857248603541047e+39
294.0ms	-5.3763761151479334e+54	-1.3207118806249807e+50

Compiler

Compiled 1074 to 673 computations (37.3% saved)

regimes1.9s (6.5%)

Counts

101 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.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))) 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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (-.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)) y.re) 1)
(.f64 (exp.f64 (-.f64 (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 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)) 1)
(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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.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.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) 1) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 3))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im) 3) 1/3))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(*.f64 (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) 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.im (log.f64 x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.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 (cos.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.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) (+.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)))))) (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 (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 (.f64 (log.f64 (-.f64 (+.f64 1 x.re) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (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) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (cos.f64 (*.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 (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 (exp.f64 (-.f64 (.f64 (log.f64 (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 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (.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 (log.f64 (exp.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)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) 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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 x.re x.im))) 2) 1)) 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 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))) 2) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)))) 2))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) 1/3)))) 2))
(.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))) (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))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 3))
(.f64 1 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.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 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (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))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (-.f64 (+.f64 1 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 1) (.f64 1/2 (exp.f64 (atan2.f64 x.im x.re)))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 3 (log1p.f64 (hypot.f64 x.re x.im)))) (+.f64 (pow.f64 (+.f64 1 (hypot.f64 x.re x.im)) 2) (+.f64 (+.f64 1 (hypot.f64 x.re x.im)) 1)))) 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 (sqrt.f64 (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))) 2))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.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 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.f64 (exp.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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sin.f64 1))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re))))) (.f64 1/2 (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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (pow.f64 (sqrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 2)) 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))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (hypot.f64 x.re x.im))) 2)) (cbrt.f64 (log1p.f64 (hypot.f64 x.re x.im)))) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (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)) (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (sin.f64 1))))

Outputs

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

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

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

Calls

5 calls:

535.0ms	y.re
455.0ms	y.im
391.0ms	x.im
260.0ms	x.re
19.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.6b	2	`x.re`
7.6b	2	`x.im`
6.1b	2	`y.re`
5.2b	3	`y.im`
5.8b	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 2408 to 713 computations (70.4% saved)

bsearch367.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
178.0ms	7.043682786762876e+28	2.857248603541047e+39
187.0ms	-5.3763761151479334e+54	-1.3207118806249807e+50

Compiler

Compiled 876 to 547 computations (37.6% saved)

regimes846.0ms (2.9%)

Counts

83 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.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))) 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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (-.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)) y.re) 1)
(.f64 (exp.f64 (-.f64 (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 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)) 1)
(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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.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.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) 1) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 3))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im) 3) 1/3))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(*.f64 (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) 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.im (log.f64 x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.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 (cos.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.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) (+.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)))))) (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 (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 (.f64 (log.f64 (-.f64 (+.f64 1 x.re) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (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) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (cos.f64 (*.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 (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 (exp.f64 (-.f64 (.f64 (log.f64 (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 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (.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 (log.f64 (exp.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)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) 1)) 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 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 3) 1/3)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 x.re x.im))) 2) 1)) 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 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (/.f64 (.f64 x.re x.re) x.im) x.im))) 2) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) 3)))) 2))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) 3) 1/3)))) 2))
(.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))) (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))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) 3))
(.f64 1 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))

Outputs

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

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

Calls

5 calls:

214.0ms	y.im
172.0ms	y.re
141.0ms	x.im
130.0ms	x.re
27.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.6b	2	`x.re`
7.6b	2	`x.im`
5.3b	3	`y.re`
5.2b	3	`y.im`
5.8b	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 1792 to 549 computations (69.4% saved)

bsearch270.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	7.043682786762876e+28	2.857248603541047e+39
120.0ms	-5.3763761151479334e+54	-1.3207118806249807e+50

Compiler

Compiled 840 to 511 computations (39.2% saved)

regimes998.0ms (3.5%)

Counts

72 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.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))) 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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (-.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)) y.re) 1)
(.f64 (exp.f64 (-.f64 (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 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)) 1)
(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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.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.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) 1) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 3))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im) 3) 1/3))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(*.f64 (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) 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.im (log.f64 x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.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 (cos.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.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) (+.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)))))) (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 (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 (.f64 (log.f64 (-.f64 (+.f64 1 x.re) 1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (log.f64 (exp.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (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) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (.f64 y.im 3)))) (cos.f64 (*.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 (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 (exp.f64 (-.f64 (.f64 (log.f64 (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 (fma.f64 1/2 (.f64 (/.f64 x.re x.im) 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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) 3)))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (log.f64 (exp.f64 (cos.f64 (.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 (log.f64 (exp.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)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 3)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (sqrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) 2)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 3))

Outputs

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

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

Calls

5 calls:

314.0ms	x.re
294.0ms	y.im
213.0ms	y.re
86.0ms	x.im
17.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
6.7b	3	`x.re`
7.8b	2	`x.im`
5.3b	3	`y.re`
5.4b	3	`y.im`
5.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 1449 to 468 computations (67.7% saved)

bsearch254.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	2.763460352325629e-35	5.256754070381092e-34
188.0ms	-280043651703477700.0	-7845249.730820344

Compiler

Compiled 508 to 345 computations (32.1% saved)

regimes257.0ms (0.9%)

Counts

47 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.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))) 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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (-.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)) y.re) 1)
(.f64 (exp.f64 (-.f64 (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 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)) 1)
(.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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.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.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 2)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) 1) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) 3))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 -1 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x.im)) y.im) 3) 1/3))) (exp.f64 (.f64 -1 (*.f64 y.im (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 y.re (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) 2))
(*.f64 (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) 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.im (log.f64 x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))))
(.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 (cos.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x.im)) 3) (pow.f64 y.im 3))))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))

Outputs

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

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

Calls

4 calls:

71.0ms	y.im
71.0ms	y.re
49.0ms	x.im
45.0ms	x.re

Results

Error	Segments	Branch
8.0b	2	`x.re`
7.8b	2	`x.im`
5.3b	3	`y.re`
5.6b	3	`y.im`

Compiler

Compiled 767 to 326 computations (57.5% saved)

bsearch202.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	2.763460352325629e-35	5.256754070381092e-34
146.0ms	-280043651703477700.0	-7845249.730820344

Compiler

Compiled 508 to 345 computations (32.1% saved)

regimes132.0ms (0.5%)

Counts

27 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) 1)
(.f64 1 (cos.f64 (.f64 y.im (log.f64 (hypot.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))) 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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 -1 x.im)))) (exp.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x.re)) y.im))))
(.f64 (cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))) (exp.f64 (.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (-.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)) y.re) 1)
(.f64 (exp.f64 (-.f64 (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 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) (neg.f64 y.im)) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (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)) 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:

40.0ms	y.im
39.0ms	y.re
27.0ms	x.re
15.0ms	x.im

Results

Error	Segments	Branch
8.5b	2	`x.re`
9.5b	1	`x.im`
5.8b	3	`y.re`
6.1b	3	`y.im`

Compiler

Compiled 377 to 191 computations (49.3% saved)

bsearch208.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.763460352325629e-35	5.256754070381092e-34
149.0ms	-280043651703477700.0	-7845249.730820344

Compiler

Compiled 438 to 305 computations (30.4% saved)

regimes145.0ms (0.5%)

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

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

Calls

4 calls:

40.0ms	x.re
33.0ms	x.im
32.0ms	y.im
32.0ms	y.re

Results

Error	Segments	Branch
9.2b	4	`x.re`
12.1b	3	`x.im`
6.3b	3	`y.re`
6.3b	3	`y.im`

Compiler

Compiled 271 to 147 computations (45.8% saved)

bsearch250.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	2099032.1402379735	1694637298.6558983
152.0ms	-280043651703477700.0	-7845249.730820344

Compiler

Compiled 568 to 425 computations (25.2% saved)

regimes55.0ms (0.2%)

Counts

8 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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:

13.0ms	y.im
12.0ms	x.im
12.0ms	y.re
11.0ms	x.re

Results

Error	Segments	Branch
16.2b	1	`x.re`
16.2b	1	`x.im`
16.2b	1	`y.re`
16.2b	1	`y.im`

Compiler

Compiled 86 to 58 computations (32.6% saved)

regimes279.0ms (1%)

Counts

7 → 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 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(.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 (-.f64 (.f64 (*.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) 1)
(-.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)

Calls

4 calls:

134.0ms	y.im
87.0ms	x.im
31.0ms	y.re
23.0ms	x.re

Results

Error	Segments	Branch
20.6b	2	`x.re`
18.7b	6	`x.im`
14.9b	3	`y.re`
20.9b	11	`y.im`

Compiler

Compiled 79 to 54 computations (31.6% saved)

bsearch195.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	2099032.1402379735	1694637298.6558983
111.0ms	-1.3869224618993921e-27	-9.171665168418498e-30

Compiler

Compiled 232 to 169 computations (27.2% saved)

regimes150.0ms (0.5%)

Counts

5 → 6

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

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

Calls

4 calls:

82.0ms	y.im
40.0ms	x.im
13.0ms	y.re
12.0ms	x.re

Results

Error	Segments	Branch
20.6b	2	`x.re`
18.7b	6	`x.im`
20.7b	3	`y.re`
24.4b	10	`y.im`

Compiler

Compiled 53 to 38 computations (28.3% saved)

bsearch1.3s (4.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
195.0ms	1.1318966497966467e-85	3.0443009070623468e-81
226.0ms	5.599761745015496e-157	1.49684767393313e-155
282.0ms	-9.555067070900453e-302	-2.9262327960835895e-303
186.0ms	-1.9579607691705234e-248	-1.0607464902521592e-251
380.0ms	-6.83070449324075e-127	-1.6001004442351169e-130

Compiler

Compiled 862 to 687 computations (20.3% saved)

regimes103.0ms (0.4%)

Counts

3 → 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)

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.im y.re) 1)

Calls

4 calls:

33.0ms	x.im
24.0ms	y.im
23.0ms	y.re
20.0ms	x.re

Results

Error	Segments	Branch
25.3b	6	`x.re`
20.0b	4	`x.im`
27.1b	7	`y.re`
28.1b	5	`y.im`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch394.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
160.0ms	-9.555067070900453e-302	-2.9262327960835895e-303
84.0ms	-1.8296922907584178e-184	-9.72017579140719e-185
149.0ms	-8.652981693909352e-111	-3.2197562600002926e-115

Compiler

Compiled 447 to 348 computations (22.1% saved)

regimes48.0ms (0.2%)

Accuracy

Total -18.7b remaining (-67.3%)

Threshold costs -18.7b (-67.3%)

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.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)

Calls

4 calls:

18.0ms	y.im
15.0ms	x.re
10.0ms	x.im
3.0ms	y.re

Results

Error	Segments	Branch
27.9b	4	`x.re`
28.1b	3	`x.im`
34.3b	1	`y.re`
30.1b	5	`y.im`

Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch805.0ms (2.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
310.0ms	1.210519373205263e-292	5.807518946254466e-292
225.0ms	-9.496840840029242e+22	-1.064732817572423e+20
271.0ms	-1.0599967024397108e+71	-2.7608006731451728e+63

Compiler

Compiled 508 to 393 computations (22.6% saved)

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`*-rgt-identity_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	754
1	185	754
2	201	754
3	208	754
4	210	754

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.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 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -280000000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1292416585479341/46768052394588893382517914646921056628989841375232) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (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 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.re -280000000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1292416585479341/46768052394588893382517914646921056628989841375232) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (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))) 1)))
(if (<=.f64 y.re -280000000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1292416585479341/46768052394588893382517914646921056628989841375232) (.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 -280000000000000000) (.f64 (pow.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) 1) (if (<=.f64 y.re 1660000000) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) 1)
(if (<=.f64 y.re -7732351108234285/5575186299632655785383929568162090376495104) (.f64 (pow.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) 1) (if (<=.f64 y.re 1660000000) (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 x.im -2022893060604763/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -1196574698874669/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 x.im -4632619933486419/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im 893674302197741/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.im 2012270666800371/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (.f64 (pow.f64 x.im y.re) 1))))))
(if (<=.f64 x.im -7319847992478951/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -430565915975743/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im -4632619933486419/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (.f64 (pow.f64 x.im y.re) 1))))
(if (<=.f64 x.re -2799999999999999869701960373454931875964493786433509295696904192) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.re -94000000000000004194304) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.re 342685253833129/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 x.im y.re) 1) (.f64 (pow.f64 x.re y.re) 1))))
(*.f64 (pow.f64 x.re y.re) 1)

Outputs
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.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 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 (atan2.f64 x.im x.re)) 1/2)) 3) (log.f64 (sqrt.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 (atan2.f64 x.im x.re) y.re)))) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (log.f64 (exp.f64 (exp.f64 (atan2.f64 x.im x.re)))) y.im))) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.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 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(if (<=.f64 y.im -519999999999999996474893310668046547760088389810913280) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 2800000000000000012524538782683276247040) (.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 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -280000000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1292416585479341/46768052394588893382517914646921056628989841375232) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (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 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.re -280000000000000000) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1292416585479341/46768052394588893382517914646921056628989841375232) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.re -280000000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1292416585479341/46768052394588893382517914646921056628989841375232) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (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))) 1)))
(if (<=.f64 y.re -280000000000000000) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1292416585479341/46768052394588893382517914646921056628989841375232) (.f64 (/.f64 1 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.im (log.f64 (hypot.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 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -280000000000000000) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1292416585479341/46768052394588893382517914646921056628989841375232) (.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 -280000000000000000) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1292416585479341/46768052394588893382517914646921056628989841375232) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (*.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -280000000000000000) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1292416585479341/46768052394588893382517914646921056628989841375232) (exp.f64 (.f64 y.im (neg.f64 (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 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -280000000000000000) (.f64 (pow.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) 1) (if (<=.f64 y.re 1660000000) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -280000000000000000) (pow.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) (if (<=.f64 y.re 1660000000) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (neg.f64 x.re) y.re)))
(if (<=.f64 y.re -280000000000000000) (pow.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) (if (<=.f64 y.re 1660000000) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (pow.f64 (neg.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 y.re -7732351108234285/5575186299632655785383929568162090376495104) (.f64 (pow.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) 1) (if (<=.f64 y.re 1660000000) (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -7732351108234285/5575186299632655785383929568162090376495104) (pow.f64 (-.f64 (.f64 (.f64 x.re x.re) (/.f64 -1/2 x.im)) x.im) y.re) (if (<=.f64 y.re 1660000000) (-.f64 1 (*.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 (neg.f64 x.re) y.re)))
(if (<=.f64 x.im -2022893060604763/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -1196574698874669/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 x.im -4632619933486419/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im 893674302197741/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.im 2012270666800371/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (.f64 (pow.f64 x.im y.re) 1))))))
(if (<=.f64 x.im -2022893060604763/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (pow.f64 (neg.f64 x.im) y.re) (if (<=.f64 x.im -1196574698874669/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (pow.f64 (neg.f64 x.re) y.re) (if (<=.f64 x.im -4632619933486419/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (pow.f64 (neg.f64 x.im) y.re) (if (<=.f64 x.im 893674302197741/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (pow.f64 x.im y.re) (if (<=.f64 x.im 2012270666800371/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (pow.f64 (neg.f64 x.re) y.re) (pow.f64 x.im y.re))))))
(if (<=.f64 x.im -7319847992478951/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (if (<=.f64 x.im -430565915975743/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.im -4632619933486419/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (pow.f64 (neg.f64 x.im) y.re) 1) (.f64 (pow.f64 x.im y.re) 1))))
(if (<=.f64 x.im -7319847992478951/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (pow.f64 (neg.f64 x.im) y.re) (if (<=.f64 x.im -430565915975743/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (pow.f64 x.re y.re) (if (<=.f64 x.im -4632619933486419/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (pow.f64 (neg.f64 x.im) y.re) (pow.f64 x.im y.re))))
(if (<=.f64 x.re -2799999999999999869701960373454931875964493786433509295696904192) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 x.re -94000000000000004194304) (.f64 (pow.f64 x.re y.re) 1) (if (<=.f64 x.re 342685253833129/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (.f64 (pow.f64 x.im y.re) 1) (.f64 (pow.f64 x.re y.re) 1))))
(if (<=.f64 x.re -2799999999999999869701960373454931875964493786433509295696904192) (pow.f64 x.im y.re) (if (<=.f64 x.re -94000000000000004194304) (pow.f64 x.re y.re) (if (<=.f64 x.re 342685253833129/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (pow.f64 x.im y.re) (pow.f64 x.re y.re))))
(*.f64 (pow.f64 x.re y.re) 1)
(pow.f64 x.re y.re)

Compiler

Compiled 547 to 274 computations (49.9% saved)

soundness130.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 291 to 151 computations (48.1% saved)

end149.0ms (0.5%)

Compiler: Compiled 499 to 155 computations (68.9% saved)