Details

analyze442.0ms (1.4%)

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)

sample10.7s (34.5%)

Results

4.6s	2566×	body	1024	infinite
4.3s	7889×	body	256	valid
564.0ms	922×	body	512	infinite
493.0ms	185×	body	2048	infinite
305.0ms	824×	body	256	infinite
239.0ms	136×	body	512	valid
141.0ms	218×	body	1024	valid
12.0ms	13×	body	2048	valid

Bogosity

preprocess110.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1592×	`rational.json-simplify-51`
1326×	`rational.json-simplify-46`
1210×	`rational.json-simplify-49`
926×	`rational.json-simplify-1`
848×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	170	805
2	230	805
3	382	805
4	1090	805
5	4791	805
6	7700	805
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-2`
922×	`rational.json-simplify-44`
822×	`rational.json-simplify-47`
818×	`rational.json-simplify-39`
726×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	38	115
2	54	115
3	108	115
4	427	115
5	4053	115
6	6385	115
7	7595	115

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

eval1.0ms (0%)

Compiler: Compiled 78 to 23 computations (70.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

33.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (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

▶

33.7b

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (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 41 to 19 computations (53.7% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	35.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series23.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

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

rewrite132.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-simplify-35`
1080×	`rational.json-1`
1080×	`rational.json-2`
1080×	`rational.json-3`
1066×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	124	104
2	275	104
3	707	104
4	2606	104

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.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 0 (.f64 y.im (atan2.f64 x.im x.re)))))) (#(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 y.im (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 4))) (.f64 2 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 4)))) 16)))) (#(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 +.f64 (.f64 (atan2.f64 x.im x.re) y.re) 0)))) (#(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 (.f64 (atan2.f64 x.im x.re) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 4))) (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)))))

simplify423.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational.json-simplify-51`
1290×	`rational.json-simplify-35`
1134×	`rational.json-simplify-2`
900×	`rational.json-simplify-43`
818×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	423	10971
1	1072	10779
2	2222	10743
3	4682	10331
4	7082	10331

Stop Event

1×	node limit

Counts

173 → 242

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
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x.im
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x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
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(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
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x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
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x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
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(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
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(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 -1 (-.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
(-.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(-.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))))
(.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 1/2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))
(.f64 2 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(.f64 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))) -1)
(/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)
(/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))) -1)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)
(pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(-.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 1/2)
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(/.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 2)) 2)
(/.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (.f64 2 (.f64 y.im (*.f64 (atan2.f64 x.im x.re) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 4))) (.f64 2 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 4)))) 16)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(/.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(/.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) 2)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 4)) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (*.f64 y.re 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 4))) (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 4)))) 16)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)

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

eval270.0ms (0.9%)

Compiler: Compiled 20445 to 8125 computations (60.3% saved)

prune870.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	300	7	307
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	301	7	308

Error

20.2b

Counts

308 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	50.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	40.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	25.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	42.3b	(.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))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
▶	50.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.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))))
▶	49.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 506 to 294 computations (41.9% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	19.0b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	30.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series4.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite114.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`exponential.json-3`
1468×	`rational.json-1`
1468×	`rational.json-2`
1468×	`rational.json-4`
1468×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	61	30
2	141	30
3	291	30
4	563	30
5	1302	30
6	3467	30
7	6668	30

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.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)) 0)))) (#(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 (PI.f64) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (+.f64 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (-.f64 (neg.f64 (PI.f64)) (.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)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (+.f64 (.f64 (PI.f64) -2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (+.f64 1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (+.f64 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))) (+.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) -2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1) (+.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 1 (PI.f64))) (-.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (PI.f64) -2)) (-.f64 1 (-.f64 (.f64 (PI.f64) 2) (.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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (-.f64 (PI.f64) (.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)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (.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)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (-.f64 (.f64 (PI.f64) -3) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) -2) (-.f64 (.f64 (PI.f64) -2) (.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)) (.f64 (PI.f64) 2)) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (PI.f64)) (.f64 (PI.f64) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) 4)))) (#(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 neg.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 2 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.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)) 0)))) (#(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 (PI.f64) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 2) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (PI.f64)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (+.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (-.f64 (neg.f64 (PI.f64)) (*.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)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (+.f64 (*.f64 (PI.f64) -2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 1/2)) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (+.f64 1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (+.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))) (+.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) -2) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1) (+.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 1 (PI.f64))) (-.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (PI.f64) -2)) (-.f64 1 (-.f64 (*.f64 (PI.f64) 2) (*.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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (-.f64 (PI.f64) (*.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)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 2) (-.f64 (*.f64 (PI.f64) 2) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (*.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)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)) (*.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) -2) (-.f64 (*.f64 (PI.f64) -2) (*.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)) (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)) (PI.f64)) (*.f64 (PI.f64) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (neg.f64 (*.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) 4)))) (#(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 neg.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))

simplify505.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational.json-simplify-2`
1158×	`exponential.json-simplify-26`
1072×	`rational.json-simplify-48`
1052×	`rational.json-simplify-1`
876×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1561
1	443	1561
2	1321	1561
3	4726	1561
4	7653	1561

Stop Event

1×	node limit

Counts

93 → 102

Calls

Call 1

Inputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
(+.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(+.f64 0 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 -1 (-.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(+.f64 (-.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1) -1)
(-.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(-.f64 0 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
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(.f64 2 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)
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(.f64 1/2 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
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(.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)
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(.f64 1/4 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))
(.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/4) 4)
(.f64 1/8 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8))
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(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
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(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
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Outputs
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(+.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (neg.f64 (PI.f64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (+.f64 (.f64 (PI.f64) -2) (PI.f64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (*.f64 (PI.f64) 2))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) -1)
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (PI.f64) -1) (+.f64 1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (PI.f64) -1) (+.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (PI.f64))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))) (+.f64 (PI.f64) -1))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 1 (PI.f64)) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 1 (PI.f64))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 (PI.f64) -2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) 2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1) (+.f64 1 (PI.f64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 1 (PI.f64))) (-.f64 1 (PI.f64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 -1 (.f64 (PI.f64) -2)) (-.f64 1 (-.f64 (.f64 (PI.f64) 2) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (.f64 (PI.f64) 2) (*.f64 (PI.f64) 2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 0 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 1 (-.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (neg.f64 (PI.f64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 (PI.f64) 2) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (PI.f64))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (*.f64 (PI.f64) -2))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (.f64 (PI.f64) -2) (-.f64 (.f64 (PI.f64) -2) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2)) (*.f64 (PI.f64) 2))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (PI.f64)) (*.f64 (PI.f64) -3))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8) 8)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8)))) 64)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (+.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(neg.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	35.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	35.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize445.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	35.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 161 to 21 computations (87% saved)

localize127.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	19.9b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	30.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series69.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
16.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
14.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-1`
1364×	`rational.json-2`
1364×	`rational.json-3`
1362×	`rational.json-simplify-35`
1338×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	97	37
2	214	37
3	464	37
4	972	37
5	2356	33
6	5513	33

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))))

simplify230.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1750×	`rational.json-simplify-35`
1090×	`rational.json-simplify-2`
932×	`rational.json-simplify-52`
880×	`rational.json-simplify-26`
870×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	3408
1	297	3386
2	645	3368
3	1729	3322
4	2782	3322
5	3517	3322
6	4567	3322
7	6138	3322
8	6734	3322
9	7275	3322

Stop Event

1×	node limit

Counts

80 → 74

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.im)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.im)) 2))))))
(+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.im)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.im)) 3)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.im)) 2)))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(+.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1)
(-.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(-.f64 0 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)
(.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 -1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
(.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)
(.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(.f64 1/4 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)
(/.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)
(/.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)
(pow.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(neg.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))

Outputs
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (neg.f64 x.im)))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (neg.f64 x.im)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im)))
(+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.im)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.im)) 2))))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) 2) -1/2)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (neg.f64 x.im))))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (log.f64 (neg.f64 x.im)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) 2)))))
(+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (neg.f64 x.im))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) 2))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (neg.f64 x.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.im))) 2)))))
(+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.im)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.im)) 3)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.im)) 2)))))))
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(.f64 1/4 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(.f64 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) -2)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))))) -4)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(pow.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))
(neg.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.im y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.im y.im))))

eval1.2s (3.8%)

Compiler: Compiled 59916 to 24627 computations (58.9% saved)

prune1.2s (3.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1051	13	1064
Fresh	2	0	2
Picked	1	0	1
Done	4	0	4
Total	1058	13	1071

Error

3.9b

Counts

1071 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
▶	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	43.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	40.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	54.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	42.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	53.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
▶	53.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	42.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 716 to 426 computations (40.5% saved)

localize28.0ms (0.1%)

Local error

Found 4 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)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	30.1b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 121 to 16 computations (86.8% saved)

series40.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.im	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	y.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2286×	`rational.json-1`
2286×	`rational.json-2`
1336×	`rational.json-simplify-35`
954×	`rational.json-3`
940×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	81	33
2	191	33
3	525	33
4	2197	33
5	7249	33

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y.re (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 y.re (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2))) (*.f64 2 (*.f64 y.re (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 y.re 1/2)))))))

simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-2`
1082×	`rational.json-simplify-51`
1032×	`rational.json-simplify-41`
890×	`rational.json-simplify-35`
808×	`rational.json-simplify-53`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2609
1	323	2505
2	600	2481
3	1099	2361
4	2530	2319
5	6692	2319
6	7929	2319

Stop Event

1×	node limit

Counts

47 → 125

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (*.f64 y.re (log.f64 x.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 2)
(/.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)) 4)
(/.f64 (.f64 2 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))) (.f64 2 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)))) 16)
(pow.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (*.f64 y.re 1/2)))

Outputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (*.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))))
(.f64 y.re (+.f64 (log.f64 x.im) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (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 -1/4 (.f64 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (*.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(.f64 y.re (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 x.im) (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))
(.f64 y.re (+.f64 (log.f64 x.im) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (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 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 1/2 (.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))) (.f64 -1/4 (*.f64 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))))
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(+.f64 (.f64 y.re (+.f64 (log.f64 x.im) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 y.re (+.f64 (.f64 1/6 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(.f64 y.re (+.f64 (.f64 1/6 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (log.f64 x.im) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 (log.f64 (/.f64 1 x.re)) (.f64 y.re -1))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re))
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(+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re)) (.f64 (pow.f64 x.im 2) (*.f64 (/.f64 y.re (pow.f64 x.re 2)) 1/2)))
(+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re)) (.f64 (pow.f64 x.im 2) (*.f64 1/2 (/.f64 y.re (pow.f64 x.re 2)))))
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(+.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))))
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(.f64 y.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (neg.f64 (log.f64 (/.f64 1 x.re))) (*.f64 -1/4 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
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(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(.f64 y.re (.f64 (log.f64 (/.f64 -1 x.re)) -1))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
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(.f64 y.re (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
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(.f64 y.re (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.re))) (*.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
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(*.f64 y.re (log.f64 x.re))
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(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
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(+.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 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (+.f64 (.f64 1/2 (.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re))))
(+.f64 (.f64 y.re (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 y.re (+.f64 (neg.f64 (log.f64 (/.f64 1 x.im))) (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(.f64 y.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.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 (.f64 -1/4 (.f64 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (+.f64 (.f64 1/720 (.f64 y.re (/.f64 (+.f64 (.f64 (pow.f64 x.re 6) 90) (.f64 (pow.f64 x.re 6) 30)) (pow.f64 x.im 6)))) (+.f64 (.f64 1/2 (.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re)) (.f64 1/720 (.f64 y.re (/.f64 (.f64 (pow.f64 x.re 6) 120) (pow.f64 x.im 6)))))))
(+.f64 (.f64 y.re (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 y.re (+.f64 (.f64 1/720 (.f64 (pow.f64 x.re 6) (/.f64 120 (pow.f64 x.im 6)))) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) (/.f64 y.re (pow.f64 x.im 2)))) (.f64 y.re (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x.re 6) (/.f64 120 (pow.f64 x.im 6)))) (neg.f64 (log.f64 (/.f64 1 x.im)))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (.f64 1/2 (.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)))
(.f64 y.re (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(.f64 y.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.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 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (+.f64 (.f64 1/2 (.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))))
(+.f64 (.f64 y.re (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)))
(.f64 y.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.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 (.f64 -1/4 (.f64 y.re (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (+.f64 (.f64 1/720 (.f64 y.re (/.f64 (+.f64 (.f64 (pow.f64 x.re 6) 90) (.f64 (pow.f64 x.re 6) 30)) (pow.f64 x.im 6)))) (+.f64 (.f64 1/2 (.f64 y.re (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 (log.f64 (/.f64 -1 x.im)) (.f64 y.re -1)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 1/720 (.f64 y.re (/.f64 (.f64 (pow.f64 x.re 6) 120) (pow.f64 x.im 6)))) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re)))))
(+.f64 (.f64 y.re (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 y.re (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.im))) (.f64 1/720 (.f64 (pow.f64 x.re 6) (/.f64 120 (pow.f64 x.im 6)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x.re 2) (/.f64 y.re (pow.f64 x.im 2)))) (.f64 y.re (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x.re 6) (/.f64 120 (pow.f64 x.im 6)))) (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(*.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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 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.re 2) (pow.f64 x.im 2)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 2)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)) 4)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (.f64 2 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2))) 8)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (+.f64 (.f64 2 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))) (.f64 2 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)))) 16)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(pow.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re)))
(log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (*.f64 y.re 1/2)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	19.0b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series32.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	x.re	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
8.0ms	x.im	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
7.0ms	x.im	@	-inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	y.re	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	y.im	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`rational.json-simplify-35`
1252×	`rational.json-1`
1252×	`rational.json-2`
1252×	`rational.json-3`
1228×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	106	55
2	221	55
3	483	55
4	935	55
5	2259	51
6	5141	51

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (*.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im 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simplify131.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1658×	`rational.json-simplify-35`
1208×	`rational.json-simplify-61`
1020×	`rational.json-simplify-53`
978×	`rational.json-simplify-46`
868×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	5712
1	503	5546
2	1146	5334
3	2956	5312
4	6945	5312

Stop Event

1×	node limit

Counts

88 → 90

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re))))) (pow.f64 y.re 3)) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re))))) (pow.f64 y.re 3)) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im)))) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 (log.f64 x.im) 3) (atan2.f64 x.im x.re)))) (.f64 -1/6 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))))) (pow.f64 y.re 4)) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (pow.f64 x.im y.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (pow.f64 x.im y.re))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im y.re))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (.f64 (pow.f64 y.im 3) (pow.f64 x.im y.re))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) (.f64 y.im (pow.f64 x.im y.re))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 (pow.f64 y.im 2) (pow.f64 x.im y.re))))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 0)
(+.f64 0 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)))
(-.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 0)
(/.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))))
(/.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(/.f64 1 (/.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 2 (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) (.f64 2 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))
(/.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2)) 2)
(/.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 2) (+.f64 (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 2 (.f64 2 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))))
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 4 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))
(/.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4)) 4)
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (.f64 8 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (+.f64 (.f64 4 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (.f64 4 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))))
(/.f64 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8) 8)
(/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))))
(/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (.f64 16 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (+.f64 (.f64 8 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (.f64 8 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))))))
(/.f64 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 8)) 16)
(/.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (pow.f64 x.im y.re)))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (.f64 -1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) (+.f64 (.f64 16 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (.f64 16 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8))) 32)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) 8)
(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) -1)
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) 16)
(/.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (+.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (*.f64 2 (/.f64 1 (pow.f64 x.im y.re))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8)))) 64)
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))) 16)
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))) -2)
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))) 32)
(/.f64 (+.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re))) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re)))) (.f64 2 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re)) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))) (*.f64 y.im (atan2.f64 x.im x.re)))))
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(/.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (.f64 -1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) (+.f64 (.f64 16 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (.f64 16 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8))) 32)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) 8)
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) -1)
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) 16)
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re))))
(/.f64 (pow.f64 x.im y.re) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(/.f64 (+.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (*.f64 2 (/.f64 1 (pow.f64 x.im y.re))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re))))
(/.f64 (pow.f64 x.im y.re) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 8)))) 64)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))) 16)
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))) -2)
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re)))) (/.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 x.im) y.re))))) 32)
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))
(/.f64 (+.f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re))) (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re)))) (.f64 2 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))) (/.f64 1 (pow.f64 x.im y.re))))
(/.f64 (pow.f64 x.im y.re) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(pow.f64 (.f64 (/.f64 (pow.f64 x.im y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (pow.f64 x.im y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.re (log.f64 x.im)))))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	19.0b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series36.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
8.0ms	x.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
7.0ms	x.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
6.0ms	x.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`rational.json-1`
1512×	`rational.json-2`
1512×	`rational.json-3`
1144×	`exponential.json-simplify-31`
1066×	`rational.json-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	55	15
2	131	15
3	284	15
4	561	15
5	1275	11
6	3210	11
7	7272	11

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (sqrt.f64 x.re) y.re)) (log.f64 (pow.f64 (sqrt.f64 x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.re 8) (log.f64 x.re)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.re))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.re)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.re)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.re))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x.re) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.re y.re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 x.re) (+.f64 y.re y.re)))))))

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational.json-simplify-51`
984×	`rational.json-simplify-1`
908×	`rational.json-simplify-2`
806×	`exponential.json-simplify-31`
728×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	642
1	130	626
2	242	626
3	491	626
4	1422	626
5	3899	626
6	7237	626

Stop Event

1×	node limit

Counts

38 → 23

Calls

Call 1

Inputs
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 x.re) y.re) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.re))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 x.re) y.re)) (log.f64 (pow.f64 (sqrt.f64 x.re) y.re)))
(-.f64 (*.f64 (log.f64 x.re) y.re) 0)
(/.f64 (*.f64 (log.f64 x.re) y.re) 1)
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 4)
(/.f64 (.f64 (.f64 y.re 8) (log.f64 x.re)) 8)
(/.f64 (.f64 2 (.f64 (*.f64 y.re 8) (log.f64 x.re))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re 8) (log.f64 x.re)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re 8) (log.f64 x.re)))) (.f64 2 (.f64 2 (.f64 (.f64 y.re 8) (log.f64 x.re))))) 64)
(pow.f64 (*.f64 (log.f64 x.re) y.re) 1)
(log.f64 (pow.f64 x.re y.re))
(log.f64 (pow.f64 (sqrt.f64 x.re) (+.f64 y.re y.re)))

Outputs
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 x.re) y.re) 0)
(*.f64 (log.f64 x.re) y.re)
(+.f64 0 (*.f64 (log.f64 x.re) y.re))
(*.f64 (log.f64 x.re) y.re)
(+.f64 (log.f64 (pow.f64 (sqrt.f64 x.re) y.re)) (log.f64 (pow.f64 (sqrt.f64 x.re) y.re)))
(*.f64 (log.f64 x.re) y.re)
(-.f64 (*.f64 (log.f64 x.re) y.re) 0)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (*.f64 (log.f64 x.re) y.re) 1)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 4)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (.f64 (.f64 y.re 8) (log.f64 x.re)) 8)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (.f64 2 (.f64 (*.f64 y.re 8) (log.f64 x.re))) 16)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re 8) (log.f64 x.re)))) 32)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re 8) (log.f64 x.re)))) (.f64 2 (.f64 2 (.f64 (.f64 y.re 8) (log.f64 x.re))))) 64)
(*.f64 (log.f64 x.re) y.re)
(pow.f64 (*.f64 (log.f64 x.re) y.re) 1)
(*.f64 (log.f64 x.re) y.re)
(log.f64 (pow.f64 x.re y.re))
(*.f64 (log.f64 x.re) y.re)
(log.f64 (pow.f64 (sqrt.f64 x.re) (+.f64 y.re y.re)))
(*.f64 (log.f64 x.re) y.re)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 (neg.f64 x.re)) y.im)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.1b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 105 to 17 computations (83.8% saved)

series23.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	y.im	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.im)
7.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-1`
1364×	`rational.json-2`
1364×	`rational.json-3`
1362×	`rational.json-simplify-35`
1338×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	97	52
2	214	52
3	464	52
4	972	52
5	2356	44
6	5513	44

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x.re y.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 x.re y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (-.f64 (neg.f64 (PI.f64)) (log.f64 (pow.f64 x.re y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x.re y.im))) (log.f64 (sqrt.f64 (pow.f64 x.re y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (PI.f64) -1) (-.f64 1 (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im)))) (+.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 x.re y.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x.re y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x.re (+.f64 y.im y.im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (pow.f64 x.re y.im) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 x.re y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 x.re (+.f64 y.im y.im))))))))

simplify231.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational.json-simplify-35`
1096×	`rational.json-simplify-38`
888×	`rational.json-simplify-1`
782×	`rational.json-simplify-2`
770×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	4194
1	407	4156
2	876	4150
3	2416	4104
4	4346	4104
5	5436	4104
6	6979	4104

Stop Event

1×	node limit

Counts

130 → 110

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) 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))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.re)) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.re)) 3)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.re)) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.re))))))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(*.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.re)) y.im))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(+.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(+.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1)
(-.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)
(-.f64 0 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)
(.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 -1 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))
(.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)
(.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(.f64 1/4 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)
(/.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)
(/.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)
(pow.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(neg.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (log.f64 (pow.f64 x.re y.im)) 0)
(+.f64 0 (log.f64 (pow.f64 x.re y.im)))
(+.f64 (PI.f64) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)))
(+.f64 (neg.f64 (PI.f64)) (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)))
(+.f64 (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (PI.f64))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (-.f64 (neg.f64 (PI.f64)) (log.f64 (pow.f64 x.re y.im)))))
(+.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (neg.f64 (PI.f64)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x.re y.im))) (log.f64 (sqrt.f64 (pow.f64 x.re y.im))))
(+.f64 (+.f64 (PI.f64) -1) (-.f64 1 (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im)))))
(+.f64 (-.f64 -1 (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im)))) (+.f64 1 (PI.f64)))
(-.f64 (log.f64 (pow.f64 x.re y.im)) 0)
(-.f64 0 (-.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64))))
(-.f64 (PI.f64) (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im))))
(-.f64 (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (neg.f64 (PI.f64)))
(-.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (PI.f64))
(/.f64 (log.f64 (pow.f64 x.re y.im)) 1)
(/.f64 (log.f64 (pow.f64 x.re (+.f64 y.im y.im))) 2)
(/.f64 (log.f64 (pow.f64 (pow.f64 x.re y.im) 4)) 4)
(/.f64 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.im)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.im)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.im)) 8)))) 64)
(pow.f64 (log.f64 (pow.f64 x.re y.im)) 1)
(neg.f64 (-.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64))))
(log.f64 (pow.f64 x.re y.im))
(log.f64 (sqrt.f64 (pow.f64 x.re (+.f64 y.im y.im))))

Outputs
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1)) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re)))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 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))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 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))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 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))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 -1 x.re))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.im))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re)))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.re)) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re))))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2) -1/2))))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.re)) 3)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (neg.f64 x.re)) 2)))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re)))))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2) -1/2)) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (neg.f64 x.re))))) (.f64 -1/6 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 (neg.f64 x.re)) 3) (pow.f64 y.im 3))))))
(+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 3) -1/6))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (neg.f64 x.re)))) (+.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/6 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 3)))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 -1/6 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 3)) (.f64 y.im (log.f64 (neg.f64 x.re)))))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 2))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) (.f64 -1/6 (pow.f64 (.f64 y.im (log.f64 (neg.f64 x.re))) 3))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (neg.f64 x.re)))))
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(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) -2)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 2 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re)))))) -4)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(pow.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(neg.f64 (neg.f64 (sin.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (log.f64 (pow.f64 x.re y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(+.f64 (log.f64 (pow.f64 x.re y.im)) 0)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 0 (log.f64 (pow.f64 x.re y.im)))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (PI.f64) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (neg.f64 (PI.f64)) (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (PI.f64))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (-.f64 -1 (PI.f64)) (-.f64 1 (-.f64 (neg.f64 (PI.f64)) (log.f64 (pow.f64 x.re y.im)))))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (neg.f64 (PI.f64)))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x.re y.im))) (log.f64 (sqrt.f64 (pow.f64 x.re y.im))))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (+.f64 (PI.f64) -1) (-.f64 1 (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im)))))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (-.f64 -1 (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im)))) (+.f64 1 (PI.f64)))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(-.f64 (log.f64 (pow.f64 x.re y.im)) 0)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(-.f64 0 (-.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64))))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(-.f64 (PI.f64) (-.f64 (PI.f64) (log.f64 (pow.f64 x.re y.im))))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(-.f64 (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (neg.f64 (PI.f64)))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(-.f64 (+.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64)) (PI.f64))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(/.f64 (log.f64 (pow.f64 x.re y.im)) 1)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(/.f64 (log.f64 (pow.f64 x.re (+.f64 y.im y.im))) 2)
(/.f64 (log.f64 (pow.f64 (*.f64 x.re x.re) y.im)) 2)
(/.f64 (log.f64 (pow.f64 (pow.f64 x.re y.im) 4)) 4)
(/.f64 (log.f64 (pow.f64 x.re (*.f64 y.im 4))) 4)
(/.f64 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8) 8)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.im)) 8)) 16)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.im)) 8))) 32)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.im)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.im)) 8)))) 64)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(pow.f64 (log.f64 (pow.f64 x.re y.im)) 1)
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(neg.f64 (-.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (pow.f64 x.re y.im)) (PI.f64))))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))
(log.f64 (sqrt.f64 (pow.f64 x.re (+.f64 y.im y.im))))
(log.f64 (pow.f64 x.re y.im))
(*.f64 y.im (log.f64 x.re))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (log.f64 (neg.f64 x.re)) y.im)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.1b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 107 to 16 computations (85% saved)

eval503.0ms (1.6%)

Compiler: Compiled 26977 to 8329 computations (69.1% saved)

prune515.0ms (1.7%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	845	14	859
Fresh	1	7	8
Picked	0	1	1
Done	2	2	4
Total	848	24	872

Error

3.7b

Counts

872 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	37.1b	(/.f64 (pow.f64 x.im y.re) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	32.6b	(.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
	32.6b	(.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
▶	40.3b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
▶	26.0b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	30.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) 1))
	48.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1))
▶	43.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
✓	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	43.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	40.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	40.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	42.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	54.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	39.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	53.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
	49.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1))
✓	53.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	42.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	55.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
▶	51.5b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (atan2.f64 x.im x.re) (+.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) y.re)))

Compiler

Compiled 1126 to 685 computations (39.2% saved)

localize105.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	31.4b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 127 to 27 computations (78.7% saved)

series55.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
50.0ms	y.re	@	0	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
1.0ms	x.re	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	x.re	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.im	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.im	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2154×	`rational.json-1`
2154×	`rational.json-2`
1312×	`rational.json-simplify-35`
890×	`rational.json-3`
884×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	72	52
2	160	52
3	443	52
4	2023	52
5	6851	52

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 4))) (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) y.re))))))

simplify135.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational.json-simplify-35`
1018×	`rational.json-simplify-53`
986×	`rational.json-simplify-1`
872×	`rational.json-simplify-61`
766×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	4039
1	389	4021
2	726	3943
3	1482	3877
4	3322	3877
5	7154	3877

Stop Event

1×	node limit

Counts

85 → 204

Calls

Call 1

Inputs
(log.f64 (pow.f64 x.im 2))
(+.f64 (log.f64 (pow.f64 x.im 2)) (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
(+.f64 (log.f64 (pow.f64 x.im 2)) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (*.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (log.f64 (pow.f64 x.im 2)) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(*.f64 -2 (log.f64 (/.f64 1 x.re)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.re))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 -2 (log.f64 (/.f64 -1 x.re)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.re))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.re))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(log.f64 (pow.f64 x.re 2))
(+.f64 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) (log.f64 (pow.f64 x.re 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) (log.f64 (pow.f64 x.re 2))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)) (log.f64 (pow.f64 x.re 2)))))
(*.f64 -2 (log.f64 (/.f64 1 x.im)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.im))) (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.im))) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(*.f64 -2 (log.f64 (/.f64 -1 x.im)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x.im))) (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.im))) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.im))) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)
(*.f64 (log.f64 (pow.f64 x.im 2)) y.re)
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (.f64 (log.f64 (pow.f64 x.im 2)) y.re))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (+.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4)))))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (+.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))))))
(.f64 -2 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (.f64 -2 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))
(+.f64 (.f64 -2 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))))
(.f64 -2 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 -2 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))
(+.f64 (.f64 -2 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (pow.f64 x.re 2)))
(+.f64 (.f64 y.re (log.f64 (pow.f64 x.re 2))) (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 y.re (log.f64 (pow.f64 x.re 2))) (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 y.re (log.f64 (pow.f64 x.re 2))) (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))))
(.f64 -2 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (.f64 -2 (*.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (+.f64 (.f64 -2 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4)))))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (+.f64 (.f64 -2 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))))))
(.f64 -2 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (.f64 -2 (*.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (+.f64 (.f64 -2 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4)))))
(+.f64 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))) (+.f64 (.f64 -2 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))))))
(+.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(+.f64 0 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(-.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(.f64 1 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(.f64 2 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2))
(.f64 (log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) 2)) 1/2)
(.f64 1/2 (log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) 2)))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)
(/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(/.f64 (log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) 2)) 2)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4))) 16)
(pow.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(+.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 0)
(+.f64 0 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re))
(-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 0)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) (+.f64 y.re y.re)) 2)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.re 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4))) (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)))) 16)
(pow.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)
(log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))

Outputs
(log.f64 (pow.f64 x.im 2))
(+.f64 (log.f64 (pow.f64 x.im 2)) (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
(+.f64 (log.f64 (pow.f64 x.im 2)) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (*.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (+.f64 (log.f64 (pow.f64 x.im 2)) (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))
(+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (+.f64 (log.f64 (pow.f64 x.im 2)) (*.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (log.f64 (pow.f64 x.im 2)) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (log.f64 (pow.f64 x.im 2)) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 1/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))))
(+.f64 (log.f64 (pow.f64 x.im 2)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (.f64 1/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))))
(+.f64 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (log.f64 (pow.f64 x.im 2)) (.f64 -1/2 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(*.f64 -2 (log.f64 (/.f64 1 x.re)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.re))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))
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(log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) 2)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)
(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 (log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) 2)) 2)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 4) 4)
(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) 8)
(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4))) 16)
(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(pow.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 0)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(+.f64 0 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re))
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 0)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) (+.f64 y.re y.re)) 2)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 4)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.re 4))) 8)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4))) (.f64 2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)))) 16)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(pow.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1)
(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	19.0b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series11.0ms (0%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x.im	@	0	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
1.0ms	x.im	@	inf	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
0.0ms	y.re	@	0	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
0.0ms	x.im	@	-inf	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
0.0ms	y.re	@	inf	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`rational.json-1`
1674×	`rational.json-2`
1674×	`rational.json-3`
1666×	`rational.json-4`
928×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	74	29
2	165	29
3	347	29
4	657	29
5	1525	29
6	3398	29
7	6472	29

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x.im y.re) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (*.f64 (pow.f64 x.im y.re) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x.im y.re) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 1)))))

simplify157.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1938×	`rational.json-simplify-2`
1612×	`rational.json-simplify-35`
996×	`rational.json-simplify-43`
966×	`rational.json-simplify-48`
846×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	1154
1	191	1114
2	355	1102
3	715	1102
4	2633	1086
5	4380	1086
6	5018	1086
7	5549	1086
8	6643	1086
9	7792	1086

Stop Event

1×	node limit

Counts

24 → 37

Calls

Call 1

Inputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -1/6 (.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 1/6 (.f64 (pow.f64 (log.f64 x.im) 3) (atan2.f64 x.im x.re)))) (pow.f64 y.re 4)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(+.f64 (.f64 (pow.f64 x.im y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (.f64 (pow.f64 x.im y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)))
(-.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 1)
(/.f64 (.f64 (pow.f64 x.im y.re) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)) 2)
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) 4)) 4)
(/.f64 (.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)))) 64)
(pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 1)

Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) (pow.f64 y.re 2))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))))
(+.f64 (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 (atan2.f64 x.im x.re) 1/2))) (pow.f64 y.re 3)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) (pow.f64 y.re 2)))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 (atan2.f64 x.im x.re) 1/2))) (pow.f64 y.re 3)))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (atan2.f64 x.im x.re) (.f64 1/2 (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3)))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3)))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (.f64 (+.f64 (.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2))) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.re 3)))
(+.f64 (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 x.im))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (pow.f64 (log.f64 x.im) 2) (atan2.f64 x.im x.re)))) (pow.f64 y.re 3)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -1/6 (.f64 (log.f64 x.im) (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 1/6 (.f64 (pow.f64 (log.f64 x.im) 3) (atan2.f64 x.im x.re)))) (pow.f64 y.re 4)))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 (+.f64 (.f64 (log.f64 x.im) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 1/6 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 (atan2.f64 x.im x.re) 1/2))) (pow.f64 y.re 3)))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (+.f64 (.f64 (+.f64 (.f64 (log.f64 x.im) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 (atan2.f64 x.im x.re) (.f64 (pow.f64 (log.f64 x.im) 3) 1/6))) (pow.f64 y.re 4)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 (atan2.f64 x.im x.re) 1/2))) (pow.f64 y.re 3)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (atan2.f64 x.im x.re) (.f64 1/2 (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3)) (+.f64 (.f64 (+.f64 (.f64 (log.f64 x.im) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 (atan2.f64 x.im x.re) (.f64 1/6 (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4)) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (*.f64 (pow.f64 y.re 2) (log.f64 x.im))))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 (atan2.f64 x.im x.re) 1/2))) (pow.f64 y.re 3)) (.f64 (+.f64 (.f64 (log.f64 x.im) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 (atan2.f64 x.im x.re) (*.f64 1/6 (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3)) (.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2)))) (pow.f64 y.re 3)) (.f64 (+.f64 (.f64 (log.f64 x.im) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 (atan2.f64 x.im x.re) (*.f64 1/6 (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 x.im) 2))) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (pow.f64 y.re 3)) (.f64 (+.f64 (.f64 (log.f64 x.im) (.f64 -1/6 (pow.f64 (atan2.f64 x.im x.re) 3))) (.f64 (atan2.f64 x.im x.re) (*.f64 1/6 (pow.f64 (log.f64 x.im) 3)))) (pow.f64 y.re 4))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (log.f64 (/.f64 1 x.im)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (log.f64 (/.f64 1 x.im)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (log.f64 (/.f64 1 x.im)))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (log.f64 (/.f64 1 x.im)))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(+.f64 0 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(+.f64 (.f64 (pow.f64 x.im y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (.f64 (pow.f64 x.im y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(-.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 0)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 1)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(/.f64 (.f64 (pow.f64 x.im y.re) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2)) 2)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(/.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 x.im y.re) 4)) 4)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(/.f64 (.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8) 8)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(/.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)) 16)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8))) 32)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)))) 64)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 1)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
✓	0.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 72 to 13 computations (81.9% saved)

series10.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	y.re	@	-inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	x.re	@	-inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
1.0ms	y.re	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`rational.json-simplify-35`
1208×	`rational.json-1`
1208×	`rational.json-2`
1208×	`rational.json-3`
1182×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	108	55
2	233	55
3	523	55
4	1013	55
5	2482	47
6	4953	47

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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(2) ((x /.f64 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4))) (*.f64 8 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4))) (+.f64 (*.f64 4 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (*.f64 4 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))) (*.f64 16 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))) (+.f64 (*.f64 8 (exp.f64 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(log.f64 (pow.f64 x.re y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4))) (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (/.f64 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4))) (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 1 (pow.f64 x.re y.re)) (/.f64 1 (pow.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 2 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))) (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (/.f64 (*.f64 2 (*.f64 2 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))) (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re))) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re)))) (*.f64 2 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (neg.f64 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 -1)) (exp.f64 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 -1)) (exp.f64 (-.f64 1 (log.f64 (pow.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (-.f64 0 (/.f64 1 (pow.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re)))) (-.f64 0 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) 1)))))

simplify123.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-51`
928×	`rational.json-simplify-35`
892×	`rational.json-simplify-49`
878×	`rational.json-simplify-53`
786×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	212	5447
1	592	5291
2	1513	5105
3	4586	5037
4	6827	5025

Stop Event

1×	node limit

Counts

89 → 107

Calls

Call 1

Inputs
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 (neg.f64 x.re))))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 3) (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (neg.f64 x.re)) 2))))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 (neg.f64 x.re)))))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 4) (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (neg.f64 x.re)) 3))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 3) (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (neg.f64 x.re)) 2))))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 (neg.f64 x.re))))))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2))))) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 3))))) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (.f64 (pow.f64 y.im 2) (pow.f64 (atan2.f64 x.im x.re) 3))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (.f64 (pow.f64 y.im 3) (pow.f64 (atan2.f64 x.im x.re) 4))))) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) 0)
(+.f64 0 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))
(+.f64 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2))) (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2))))
(-.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) 0)
(/.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) 1)
(/.f64 1 (/.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))) (.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 2 (+.f64 (/.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))) (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) (/.f64 2 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 2) (+.f64 (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re))) 2)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) (.f64 2 (/.f64 2 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) (.f64 4 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(/.f64 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))) 4)
(/.f64 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))) (.f64 8 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(/.f64 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))) (+.f64 (.f64 4 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (.f64 4 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))
(/.f64 (.f64 2 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))) (.f64 16 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(/.f64 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))) (+.f64 (.f64 8 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (.f64 8 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))))) 16)
(/.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (pow.f64 x.re y.re)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))))) (+.f64 (.f64 16 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (.f64 16 (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)))))) 32)
(/.f64 (/.f64 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))) (exp.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) 16)
(/.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re))) (-.f64 0 (/.f64 2 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))))
(/.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (/.f64 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))) 16)
(/.f64 (+.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (+.f64 (/.f64 1 (pow.f64 x.re y.re)) (/.f64 1 (pow.f64 x.re y.re))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))))))) 64)
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (/.f64 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))) 32)
(/.f64 (+.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re))) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re)))) (.f64 2 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (+.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))
(/.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 -1)) (exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))
(/.f64 (/.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 -1)) (exp.f64 (-.f64 1 (log.f64 (pow.f64 x.re y.re)))))
(/.f64 (neg.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (-.f64 0 (/.f64 1 (pow.f64 x.re y.re))))
(/.f64 (neg.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re)))) (-.f64 0 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (neg.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))
(pow.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) 1)

Outputs
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 x.re)) y.re) (.f64 y.im (atan2.f64 x.im x.re))))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (.f64 -1 (log.f64 (/.f64 1 x.re))) (log.f64 -1))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.re))))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.re))))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (.f64 (log.f64 (/.f64 -1 x.re)) -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (.f64 (log.f64 (/.f64 -1 x.re)) -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (.f64 (log.f64 (/.f64 -1 x.re)) -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (.f64 (log.f64 (/.f64 -1 x.re)) -1)) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.re)))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 (neg.f64 x.re))))))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) 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))) (.f64 (pow.f64 y.re 2) (*.f64 (atan2.f64 x.im x.re) (log.f64 (neg.f64 x.re))))))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 (log.f64 (neg.f64 x.re)) (.f64 (pow.f64 y.re 2) (atan2.f64 x.im x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 (neg.f64 x.re))))))
(.f64 (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 y.re (*.f64 (pow.f64 y.re 2) (log.f64 (neg.f64 x.re)))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 3) (.f64 (atan2.f64 x.im x.re) (pow.f64 (log.f64 (neg.f64 x.re)) 2))))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 (neg.f64 x.re)))))))
(+.f64 (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) 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))) (.f64 (pow.f64 y.re 2) (.f64 (atan2.f64 x.im x.re) (log.f64 (neg.f64 x.re)))))) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (atan2.f64 x.im x.re) (.f64 (pow.f64 (log.f64 (neg.f64 x.re)) 2) (pow.f64 y.re 3))) 1/2)))
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(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re y.re))))
(/.f64 (+.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))) (neg.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))))
(.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(/.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 -1)) (exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))
(/.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 -1))) (exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (+.f64 -1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (+.f64 (-.f64 1 (log.f64 (pow.f64 x.re y.re))) (+.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 0 (log.f64 (pow.f64 x.re y.re)))))))
(/.f64 (/.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 -1)) (exp.f64 (-.f64 1 (log.f64 (pow.f64 x.re y.re)))))
(/.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 -1))) (exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (+.f64 -1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (+.f64 (-.f64 1 (log.f64 (pow.f64 x.re y.re))) (+.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 0 (log.f64 (pow.f64 x.re y.re)))))))
(/.f64 (neg.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (-.f64 0 (/.f64 1 (pow.f64 x.re y.re))))
(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (/.f64 1 (pow.f64 x.re y.re)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (/.f64 1 (pow.f64 x.re y.re))))
(.f64 (atan2.f64 x.im x.re) (/.f64 y.re (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re y.re))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re y.re))))
(/.f64 (neg.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 1 (pow.f64 x.re y.re)))) (-.f64 0 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (/.f64 1 (pow.f64 x.re y.re)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (/.f64 1 (pow.f64 x.re y.re))))
(.f64 (atan2.f64 x.im x.re) (/.f64 y.re (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re y.re))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re y.re))))
(/.f64 (neg.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))))
(.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re))))))
(pow.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) 1)
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (atan2.f64 x.im x.re) (.f64 y.re (/.f64 (pow.f64 x.re y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) (pow.f64 y.re 2))
✓	0.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (atan2.f64 x.im x.re) (+.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) y.re)))
✓	1.3b	(.f64 (atan2.f64 x.im x.re) (+.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) y.re))
✓	2.1b	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))

Compiler

Compiled 78 to 30 computations (61.5% saved)

series28.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
9.0ms	y.im	@	inf	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (atan2.f64 x.im x.re) (+.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) y.re)))
5.0ms	y.re	@	0	(*.f64 (log.f64 x.im) (pow.f64 y.re 2))
1.0ms	y.re	@	0	(.f64 (atan2.f64 x.im x.re) (+.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) y.re))
1.0ms	y.re	@	inf	(.f64 (atan2.f64 x.im x.re) (+.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) y.re))
1.0ms	x.im	@	inf	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (atan2.f64 x.im x.re) (+.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) y.re)))

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`rational.json-1`
1754×	`rational.json-2`
1754×	`rational.json-3`
1318×	`rational.json-simplify-35`
1014×	`rational.json-simplify-2`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	130
1	121	130
2	251	130
3	547	130
4	1060	130
5	2574	130
6	4667	126
7	7193	126

Stop Event

1×	node limit

Counts

4 → 57

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)) (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan2.f64 x.im x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 1/2)) (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (*.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) 1/2) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 (atan2.f64 x.im x.re) (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) 1/2) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 x.im) (pow.f64 y.re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 y.re 2) (log.f64 (sqrt.f64 x.im))) (.f64 (pow.f64 y.re 2) (log.f64 (sqrt.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x.im) (pow.f64 y.re 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x.im) (.f64 2 (pow.f64 y.re 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.im (pow.f64 y.re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (sqrt.f64 x.im) 2) (pow.f64 y.re 2)))))))

simplify192.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1574×	`rational.json-simplify-35`
1338×	`rational.json-simplify-51`
1220×	`rational.json-simplify-53`
792×	`rational.json-simplify-41`
684×	`exponential.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	194	7577
1	484	7523
2	1036	7339
3	2591	7211
4	5490	7207
5	7899	7207

Stop Event

1×	node limit

Counts

201 → 129

Calls

Call 1

Inputs
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
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(+.f64 -1 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)) (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)))
(+.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) -1)
(-.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 0)
(-.f64 0 (*.f64 (atan2.f64 x.im x.re) y.im))
(/.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2)) 2)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)) 4)
(/.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)
(/.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (*.f64 y.im -4))) 8)
(/.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (*.f64 y.im -4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)))))) 64)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)
(neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 0)
(+.f64 0 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))))
(+.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 1/2)) (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 1/2)))
(-.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 0)
(/.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 1)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.re (*.f64 (log.f64 x.im) (pow.f64 y.re 2))))) 2)
(/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (*.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (*.f64 (atan2.f64 x.im x.re) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)))))) 64)
(pow.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) 1)
(+.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 0)
(+.f64 0 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) 1/2) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (.f64 (atan2.f64 x.im x.re) (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) 1/2) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 0)
(/.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2)))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1)
(/.f64 (/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))))) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 2)
(/.f64 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 4)
(/.f64 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 8)
(/.f64 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))))) 64)
(pow.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1)
(+.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 0)
(+.f64 0 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)))
(+.f64 (.f64 (pow.f64 y.re 2) (log.f64 (sqrt.f64 x.im))) (.f64 (pow.f64 y.re 2) (log.f64 (sqrt.f64 x.im))))
(-.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 0)
(/.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 1)
(/.f64 (.f64 (log.f64 x.im) (.f64 2 (pow.f64 y.re 2))) 2)
(/.f64 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (log.f64 x.im) (*.f64 (pow.f64 y.re 2) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (*.f64 (pow.f64 y.re 2) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)))))) 64)
(pow.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 1)
(log.f64 (pow.f64 x.im (pow.f64 y.re 2)))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 x.im) 2) (pow.f64 y.re 2)))

Outputs
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))))
(.f64 (+.f64 y.re (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) (pow.f64 y.re 2)))) (atan2.f64 x.im x.re))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 -1 (*.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (neg.f64 (.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 (pow.f64 y.re 2)))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(.f64 (+.f64 y.re (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) (pow.f64 y.re 2)))) (atan2.f64 x.im x.re))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 -1 (*.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (neg.f64 (.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 (pow.f64 y.re 2)))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(.f64 (+.f64 y.re (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) (pow.f64 y.re 2)))) (atan2.f64 x.im x.re))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 -1 (*.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (neg.f64 (.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 (pow.f64 y.re 2)))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(.f64 (+.f64 y.re (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) (pow.f64 y.re 2)))) (atan2.f64 x.im x.re))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 -1 (*.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (neg.f64 (.f64 (pow.f64 y.re 2) (log.f64 (/.f64 1 x.im))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 (pow.f64 y.re 2)))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (atan2.f64 x.im x.re))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im)))))) (atan2.f64 x.im x.re))
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(/.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (atan2.f64 x.im x.re)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) 32)
(.f64 (atan2.f64 x.im x.re) (.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))) (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (.f64 (atan2.f64 x.im x.re) 4)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))))) 64)
(.f64 (atan2.f64 x.im x.re) (.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (atan2.f64 x.im x.re)))
(pow.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (log.f64 x.im) (pow.f64 y.re 2))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 1)
(.f64 (atan2.f64 x.im x.re) (.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (atan2.f64 x.im x.re) (/.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 0)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(+.f64 0 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)))
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(+.f64 (.f64 (pow.f64 y.re 2) (log.f64 (sqrt.f64 x.im))) (.f64 (pow.f64 y.re 2) (log.f64 (sqrt.f64 x.im))))
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(-.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 0)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(/.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 1)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(/.f64 (.f64 (log.f64 x.im) (.f64 2 (pow.f64 y.re 2))) 2)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(/.f64 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)) 4)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(/.f64 (.f64 2 (.f64 (log.f64 x.im) (*.f64 (pow.f64 y.re 2) 4))) 8)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)))) 16)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (*.f64 (pow.f64 y.re 2) 4))))) 32)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 (pow.f64 y.re 2) 4)))))) 64)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(pow.f64 (*.f64 (log.f64 x.im) (pow.f64 y.re 2)) 1)
(*.f64 (pow.f64 y.re 2) (log.f64 x.im))
(log.f64 (pow.f64 x.im (pow.f64 y.re 2)))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 x.im) 2) (pow.f64 y.re 2)))
(log.f64 (pow.f64 (sqrt.f64 x.im) (*.f64 2 (pow.f64 y.re 2))))
(*.f64 (pow.f64 y.re 2) (log.f64 (pow.f64 x.im 1)))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.re)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	19.1b	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series41.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	y.re	@	0	(*.f64 (log.f64 x.re) y.re)
10.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`rational.json-1`
1312×	`rational.json-2`
1312×	`rational.json-3`
1274×	`exponential.json-3`
1274×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	94	44
2	200	44
3	435	44
4	882	44
5	2146	44
6	5088	44

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 2 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x.re y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x.re y.re))) (log.f64 (sqrt.f64 (pow.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 x.re y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.re y.re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 x.re (+.f64 y.re y.re))))))))

simplify136.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1752×	`rational.json-simplify-35`
1096×	`rational.json-simplify-38`
800×	`rational.json-simplify-2`
668×	`rational.json-simplify-1`
548×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	3746
1	357	3714
2	788	3702
3	2016	3660
4	3352	3660
5	4245	3660
6	5954	3660

Stop Event

1×	node limit

Counts

118 → 92

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 x.re) 3) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 x.re))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 x.re)))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 x.re))) (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 x.re))))) (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 x.re)))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(+.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(+.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) -1)
(-.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(-.f64 0 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 1)
(.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))
(.f64 -1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)
(.f64 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(.f64 1/4 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)
(/.f64 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)
(/.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 2 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)
(pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(neg.f64 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (log.f64 (pow.f64 x.re y.re)) 0)
(+.f64 0 (log.f64 (pow.f64 x.re y.re)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x.re y.re))) (log.f64 (sqrt.f64 (pow.f64 x.re y.re))))
(-.f64 (log.f64 (pow.f64 x.re y.re)) 0)
(/.f64 (log.f64 (pow.f64 x.re y.re)) 1)
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 4)
(/.f64 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.re)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.re)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.re)) 8)))) 64)
(pow.f64 (log.f64 (pow.f64 x.re y.re)) 1)
(log.f64 (pow.f64 x.re y.re))
(log.f64 (sqrt.f64 (pow.f64 x.re (+.f64 y.re y.re))))

Outputs
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (*.f64 y.im -1))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))) y.im)))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 x.re))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (log.f64 x.re))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (.f64 y.im (log.f64 x.re)) 2) -1/2))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 x.re)) 2)))))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 x.re))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 x.re)) 2)))))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.im 3) (.f64 (pow.f64 (log.f64 x.re) 3) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
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(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(.f64 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(.f64 1/4 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(.f64 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8) 8)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) -1)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -2)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) (.f64 2 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))) -4)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(pow.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(neg.f64 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.re))))
(+.f64 (log.f64 (pow.f64 x.re y.re)) 0)
(*.f64 (log.f64 x.re) y.re)
(+.f64 0 (log.f64 (pow.f64 x.re y.re)))
(*.f64 (log.f64 x.re) y.re)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x.re y.re))) (log.f64 (sqrt.f64 (pow.f64 x.re y.re))))
(*.f64 (log.f64 x.re) y.re)
(-.f64 (log.f64 (pow.f64 x.re y.re)) 0)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (log.f64 (pow.f64 x.re y.re)) 1)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)
(*.f64 (+.f64 y.re y.re) (/.f64 (log.f64 x.re) 2))
(*.f64 (log.f64 x.re) (/.f64 (+.f64 y.re y.re) 2))
(/.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 4)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8) 8)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.re)) 8)) 16)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (pow.f64 x.re y.re)) 8))) 32)
(*.f64 (log.f64 x.re) y.re)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.re)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (pow.f64 x.re y.re)) 8)))) 64)
(*.f64 (log.f64 x.re) y.re)
(pow.f64 (log.f64 (pow.f64 x.re y.re)) 1)
(*.f64 (log.f64 x.re) y.re)
(log.f64 (pow.f64 x.re y.re))
(*.f64 (log.f64 x.re) y.re)
(log.f64 (sqrt.f64 (pow.f64 x.re (+.f64 y.re y.re))))
(*.f64 (log.f64 x.re) y.re)

eval256.0ms (0.8%)

Compiler: Compiled 25204 to 10278 computations (59.2% saved)

prune328.0ms (1.1%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	836	15	851
Fresh	6	10	16
Picked	1	0	1
Done	3	4	7
Total	846	29	875

Error

3.6b

Counts

875 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	38.8b	(/.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (.f64 y.re (atan2.f64 x.im x.re))))
	37.0b	(/.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 -1))) (exp.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) (-.f64 1 (log.f64 (pow.f64 x.re y.re))))))
	32.6b	(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)))
	37.0b	(/.f64 1 (/.f64 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (pow.f64 x.re y.re)))) (.f64 y.re (atan2.f64 x.im x.re))))
	38.5b	(.f64 (atan2.f64 x.im x.re) (/.f64 y.re (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im)) (pow.f64 x.re y.re))))
	58.7b	(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))))
	32.6b	(.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
	40.0b	(.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re))
	40.3b	(.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
	30.4b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 1 (-.f64 1 (.f64 y.re (atan2.f64 x.im x.re)))))
✓	26.0b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	49.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 1 (-.f64 1 (.f64 y.re (atan2.f64 x.im x.re)))))
✓	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	43.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	40.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	40.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	47.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 x.re)) 2))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 -1/6 (pow.f64 (*.f64 y.im (log.f64 x.re)) 3)))))))
	54.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	43.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))
	53.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
✓	53.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	42.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	55.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	49.9b	(*.f64 y.re (atan2.f64 x.im x.re))
	32.6b	(.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
	41.3b	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (pow.f64 (neg.f64 x.re) y.re)))

Compiler

Compiled 704 to 424 computations (39.8% saved)

regimes1.5s (4.7%)

Counts

50 → 5

Calls

Call 1

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

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

Calls

5 calls:

492.0ms	y.re
365.0ms	y.im
309.0ms	x.re
272.0ms	x.im
15.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
11.7b	5	`x.re`
13.2b	5	`x.im`
14.9b	5	`y.re`
20.4b	6	`y.im`
17.1b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1166 to 253 computations (78.3% saved)

bsearch205.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
79.0ms	1.0826775639850109e-162	9.626405483241552e-160
43.0ms	2.7593730466970214e-222	1.0165925529483879e-221
45.0ms	6.655284952270326e-289	9.687312908680548e-280
37.0ms	-6.763540759252639e-99	-4.752709562239981e-101

Results

138.0ms	463×	body	256	valid
50.0ms	45×	body	1024	infinite
2.0ms	2×	body	2048	infinite
2.0ms	7×	body	256	infinite
1.0ms	2×	body	512	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 1744 to 1018 computations (41.6% saved)

regimes803.0ms (2.6%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

4 calls:

238.0ms	y.im
216.0ms	x.re
212.0ms	x.im
114.0ms	y.re

Results

Error	Segments	Branch
14.5b	5	`x.re`
16.0b	3	`x.im`
16.3b	3	`y.re`
20.9b	7	`y.im`

Compiler

Compiled 719 to 180 computations (75% saved)

bsearch214.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
86.0ms	1.0826775639850109e-162	9.626405483241552e-160
53.0ms	2.7593730466970214e-222	1.0165925529483879e-221
40.0ms	6.655284952270326e-289	9.687312908680548e-280
34.0ms	-6.763540759252639e-99	-4.752709562239981e-101

Results

177.0ms	463×	body	256	valid
24.0ms	36×	body	1024	infinite
2.0ms	5×	body	512	infinite
2.0ms	2×	body	2048	infinite
1.0ms	6×	body	256	infinite
1.0ms	1×	body	512	valid

Compiler

Compiled 1702 to 1004 computations (41% saved)

regimes819.0ms (2.6%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 y.re (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))

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

Calls

4 calls:

269.0ms	x.re
218.0ms	y.im
213.0ms	x.im
108.0ms	y.re

Results

Error	Segments	Branch
17.1b	5	`x.re`
16.0b	3	`x.im`
16.3b	3	`y.re`
20.9b	7	`y.im`

Compiler

Compiled 623 to 167 computations (73.2% saved)

bsearch95.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	7.949897811997898e-108	1.9840187843382688e-106
44.0ms	-0.0001094938623386713	-5.314312813551305e-6

Results

49.0ms	213×	body	256	valid
23.0ms	36×	body	1024	infinite
11.0ms	17×	body	512	infinite
3.0ms	7×	body	512	valid
3.0ms	4×	body	1024	valid
1.0ms	6×	body	256	infinite
1.0ms	1×	body	2048	infinite

Compiler

Compiled 832 to 494 computations (40.6% saved)

regimes449.0ms (1.5%)

Counts

33 → 3

Calls

Call 1

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

Outputs

(*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 y.re (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))

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

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

Calls

4 calls:

169.0ms	x.re
124.0ms	x.im
105.0ms	y.im
41.0ms	y.re

Results

Error	Segments	Branch
17.1b	5	`x.re`
18.5b	3	`x.im`
16.3b	3	`y.re`
21.0b	7	`y.im`

Compiler

Compiled 600 to 162 computations (73% saved)

bsearch554.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
408.0ms	2.3757594193966602e+26	3.942317813566228e+33
145.0ms	-1.0242817324348392e-16	-4.2007421247777624e-19

Results

231.0ms	243×	body	256	valid
198.0ms	48×	body	256	infinite
90.0ms	62×	body	1024	infinite
15.0ms	36×	body	512	infinite
7.0ms	5×	body	2048	infinite
5.0ms	7×	body	1024	valid
2.0ms	5×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 656 to 392 computations (40.2% saved)

regimes411.0ms (1.3%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

4 calls:

134.0ms	x.re
117.0ms	x.im
47.0ms	y.im
25.0ms	y.re

Results

Error	Segments	Branch
18.4b	7	`x.re`
21.7b	7	`x.im`
22.4b	3	`y.re`
24.0b	6	`y.im`

Compiler

Compiled 243 to 82 computations (66.3% saved)

bsearch541.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
117.0ms	5.918909067960897e-192	3.518524601705089e-190
68.0ms	2.7593730466970214e-222	1.0165925529483879e-221
93.0ms	8.572686715756558e-297	3.3709321054126634e-292
29.0ms	-9.976335632723314e-247	-6.660685481775156e-248
129.0ms	-1.0115401069858928e-151	-2.3496366218902422e-154
104.0ms	-5.473797738579143e-114	-9.737254418591348e-120

Results

328.0ms	687×	body	256	valid
127.0ms	69×	body	1024	infinite
66.0ms	11×	body	512	infinite
6.0ms	5×	body	2048	infinite
2.0ms	10×	body	256	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 1774 to 1149 computations (35.2% saved)

regimes1.7s (5.5%)

Counts

13 → 8

Calls

Call 1

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

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

Calls

4 calls:

1.5s	x.im
117.0ms	x.re
39.0ms	y.im
21.0ms	y.re

Results

Error	Segments	Branch
21.0b	8	`x.re`
21.7b	7	`x.im`
22.4b	3	`y.re`
24.0b	6	`y.im`

Compiler

Compiled 185 to 68 computations (63.2% saved)

bsearch453.0ms (1.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
73.0ms	5.918909067960897e-192	3.518524601705089e-190
27.0ms	2.7593730466970214e-222	1.0165925529483879e-221
36.0ms	8.572686715756558e-297	3.3709321054126634e-292
94.0ms	-3.022641114668942e-295	-1.1660827214537987e-301
75.0ms	-1.0115401069858928e-151	-2.3496366218902422e-154
47.0ms	-5.473797738579143e-114	-9.737254418591348e-120
99.0ms	-1.439712592412406e+89	-1.4777842976085698e+88

Results

389.0ms	832×	body	256	valid
39.0ms	63×	body	1024	infinite
5.0ms	5×	body	2048	infinite
4.0ms	10×	body	512	infinite
3.0ms	12×	body	256	infinite

Compiler

Compiled 1936 to 1249 computations (35.5% saved)

regimes268.0ms (0.9%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

108.0ms	y.im
69.0ms	y.re
50.0ms	x.im
38.0ms	x.re

Results

Error	Segments	Branch
23.5b	6	`x.re`
27.2b	6	`x.im`
22.4b	3	`y.re`
24.0b	6	`y.im`

Compiler

Compiled 150 to 57 computations (62% saved)

bsearch159.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	2.3757594193966602e+26	3.942317813566228e+33
57.0ms	-2.801181729837324e+58	-1.0914770553397633e+41

Results

70.0ms	304×	body	256	valid
39.0ms	55×	body	1024	infinite
23.0ms	97×	body	256	infinite
19.0ms	39×	body	512	infinite
4.0ms	3×	body	2048	infinite

Compiler

Compiled 637 to 386 computations (39.4% saved)

regimes160.0ms (0.5%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

4 calls:

67.0ms	x.re
57.0ms	y.re
23.0ms	y.im
11.0ms	x.im

Results

Error	Segments	Branch
32.7b	5	`x.re`
33.0b	3	`x.im`
33.0b	3	`y.re`
36.5b	6	`y.im`

Compiler

Compiled 58 to 30 computations (48.3% saved)

bsearch474.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
197.0ms	1.2908481543908402e+182	3.9001857309646964e+186
92.0ms	1.974283393748188e+160	5.11975066285473e+166
151.0ms	28882918121353.29	4356809265913807.0
34.0ms	-5.075190504972604e-11	-9.617745023675085e-15

Results

375.0ms	469×	body	256	valid
58.0ms	19×	body	1024	infinite
16.0ms	25×	body	1024	valid
5.0ms	25×	body	256	infinite
5.0ms	13×	body	512	valid
5.0ms	5×	body	2048	valid
3.0ms	8×	body	512	infinite

Compiler

Compiled 936 to 609 computations (34.9% saved)

regimes93.0ms (0.3%)

Accuracy

Total -25.6b remaining (-77.6%)

Threshold costs -25.6b (-77.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

59.0ms	x.re
17.0ms	x.im
8.0ms	y.re
8.0ms	y.im

Results

Error	Segments	Branch
38.9b	2	`x.re`
37.7b	5	`x.im`
33.0b	3	`y.re`
39.2b	3	`y.im`

Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch256.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
217.0ms	8634.315884009773	6485280474148447000.0
40.0ms	-2253766082337409.5	-358683053286.539

Results

96.0ms	25×	body	1024	infinite
85.0ms	178×	body	256	infinite
65.0ms	288×	body	256	valid
5.0ms	13×	body	512	infinite

Compiler

Compiled 480 to 313 computations (34.8% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2268

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re -7387876161823965/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 8503492306630217/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5697766239033079/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 5065326622169181/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 x.re -2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 8229186103190533/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 7814079413531079/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 2770100496498771/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 x.im -7378697629483821/73786976294838206464) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 5453711742519551/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 y.re -2028240960365167/20282409603651670423947251286016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 41999999999999995768604662431744) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 x.re -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re -8501978123583175/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 2761256655148517/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re 7000112807954925/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5297378074679453/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 x.re -23000000000000001716855259663634837199262161176292156853629842538982627410281253725798400) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (pow.f64 (neg.f64 x.re) y.re))) (if (<=.f64 x.re -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re -7547924849643083/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re -7238468646072529/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re 1748795881594061/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re 8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 3852638599766875/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.re -17000000000000000608314610616618050991947776) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 44999999999999996109733513658368) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 x.re -6338253001141147/79228162514264337593543950336) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (pow.f64 (neg.f64 x.re) y.re))) (if (<=.f64 x.re 65000000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (pow.f64 (neg.f64 x.re) y.re))) (if (<=.f64 x.re 5800000000000000138408301066636359944847062328029966164342909278271150167338282854912237430106418655312511878152247711109373858692612458701209344558422357554082520456086798878482890752) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -360000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 9000) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

Outputs
(if (<=.f64 x.re -7387876161823965/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 8503492306630217/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5697766239033079/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 5065326622169181/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 x.re -2154797213865323/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 8229186103190533/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 7814079413531079/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 2770100496498771/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 x.im -7378697629483821/73786976294838206464) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 5453711742519551/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 y.re -2028240960365167/20282409603651670423947251286016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 41999999999999995768604662431744) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 x.re -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re -8501978123583175/62977615730245738786737893213810516180854717020526113763804520252546537227240188059141308771092556464037227033764973721370976872384868328243558285053126761544750533580661426087466659268906884318950680840994261312979224716752953736643600094171409186898414919483392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 2761256655148517/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re 7000112807954925/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5297378074679453/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 x.re -23000000000000001716855259663634837199262161176292156853629842538982627410281253725798400) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (pow.f64 (neg.f64 x.re) y.re))) (if (<=.f64 x.re -3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re -7547924849643083/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re -7238468646072529/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re 1748795881594061/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re)) (if (<=.f64 x.re 8139666055761541/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 3852638599766875/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 y.re -17000000000000000608314610616618050991947776) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 44999999999999996109733513658368) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 x.re -6338253001141147/79228162514264337593543950336) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (pow.f64 (neg.f64 x.re) y.re))) (if (<=.f64 x.re 65000000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (pow.f64 (neg.f64 x.re) y.re))) (if (<=.f64 x.re 5800000000000000138408301066636359944847062328029966164342909278271150167338282854912237430106418655312511878152247711109373858692612458701209344558422357554082520456086798878482890752) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -360000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 9000) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 834 to 335 computations (59.8% saved)

soundness242.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1424×	`rational.json-simplify-51`
1424×	`rational.json-simplify-51`
1290×	`rational.json-simplify-35`
1290×	`rational.json-simplify-35`
1134×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	423	10971
1	1072	10779
2	2222	10743
3	4682	10331
4	7082	10331
0	423	10971
1	1072	10779
2	2222	10743
3	4682	10331
4	7082	10331

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 180 to 65 computations (63.9% saved)

end163.0ms (0.5%)

Compiler: Compiled 798 to 206 computations (74.2% saved)