Details

analyze861.0ms (2.8%)

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)

sample11.5s (37.4%)

Results

4.6s	7907×	body	256	valid
4.2s	2453×	body	1024	infinite
1.6s	988×	body	512	infinite
472.0ms	1026×	body	256	infinite
239.0ms	194×	body	1024	valid
114.0ms	147×	body	512	valid
63.0ms	37×	body	2048	infinite
14.0ms	8×	body	2048	valid

Bogosity

preprocess132.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1418×	`rational.json-simplify-44`
1030×	`rational.json-simplify-1`
944×	`trig.json-simplify-20`
924×	`trig.json-simplify-41`
764×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	237	805
2	472	805
3	1239	805
4	3544	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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) x.re) (.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) x.im) (.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) y.re) (.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))

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

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational.json-simplify-41`
986×	`rational.json-simplify-1`
822×	`rational.json-simplify-46`
786×	`rational.json-simplify-44`
736×	`rational.json-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	49	115
2	90	115
3	211	115
4	554	115
5	1559	115
6	4440	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))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

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

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

eval1.0ms (0%)

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

prune2.0ms (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

32.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (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

▶

32.2b

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

localize103.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	34.2b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series47.0ms (0.2%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
12.0ms	y.re	@	inf	(*.f64 (atan2.f64 x.im x.re) y.re)
5.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite129.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`rational.json-1`
1558×	`rational.json-2`
1558×	`rational.json-3`
1554×	`rational.json-5`
1552×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	171	104
2	662	104
3	2776	104

Stop Event

1×	node limit

Counts

4 → 50

Calls

Call 1

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

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

simplify242.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`rational.json-simplify-1`
774×	`rational.json-simplify-2`
554×	`rational.json-simplify-64`
482×	`rational.json-simplify-41`
476×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	425	11574
1	1026	11376
2	2445	11306
3	7058	11252

Stop Event

1×	node limit

Counts

170 → 226

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4))))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 6) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
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(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
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(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
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(cos.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
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x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
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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))))
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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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(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
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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.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.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 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
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(*.f64 y.im (atan2.f64 x.im x.re))
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(*.f64 y.im (atan2.f64 x.im x.re))
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(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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 0 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(-.f64 0 (neg.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (.f64 (cos.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 0))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 0)))
(.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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.im) (-.f64 (-.f64 (/.f64 (PI.f64) 2) (PI.f64)) (.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.im) (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))
(sin.f64 (-.f64 (PI.f64) (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (-.f64 (/.f64 (PI.f64) 2) (PI.f64)) (.f64 (atan2.f64 x.im x.re) y.re)))))
(sin.f64 (-.f64 (PI.f64) (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2)))))
(+.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 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 1))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.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))) 1)
(/.f64 (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))) (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)
(+.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) y.re) (/.f64 (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.re)))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 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 (atan2.f64 x.im x.re)) (/.f64 (.f64 y.im (atan2.f64 x.im x.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)

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

eval298.0ms (1%)

Compiler: Compiled 18989 to 7330 computations (61.4% saved)

prune185.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	276	9	285
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	9	286

Error

15.8b

Counts

286 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	51.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	32.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	32.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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)))))
▶	32.2b	(.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 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2)))))
▶	44.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	38.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	41.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	16.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (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 752 to 414 computations (44.9% saved)

localize163.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.8b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	20.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series10.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite144.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`rational.json-5`
754×	`exponential.json-3`
754×	`rational.json-1`
754×	`rational.json-2`
754×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	83	30
2	314	30
3	1284	30
4	6016	30

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(cos.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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) (+.f64 (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) 0) (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (.f64 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (.f64 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 (cos.f64 0) 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((#(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 1 (-.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)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) 1)))) (#(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 (neg.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))) (PI.f64)))))) (#(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 -1 (-.f64 -1 (*.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)) 1) 1)))) (#(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 (atan2.f64 x.im x.re)) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))))))

simplify166.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational.json-simplify-1`
1124×	`rational.json-simplify-45`
1024×	`rational.json-simplify-42`
1014×	`rational.json-simplify-44`
980×	`rational.json-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1289
1	462	1289
2	1303	1289
3	5314	1289

Stop Event

1×	node limit

Counts

73 → 80

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) 0))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) 0))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))
(+.f64 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(-.f64 0 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)))
(-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) (+.f64 (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)) 0))
(-.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) 0) (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 0))
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (.f64 (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (.f64 (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 0)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 (cos.f64 0) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 0) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2)) (/.f64 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 2)))) 2)))
(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 2)
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) 2))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (sin.f64 (-.f64 (-.f64 (PI.f64) (.f64 (PI.f64) 2)) (-.f64 (/.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re)))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (neg.f64 (/.f64 (PI.f64) 2)) (.f64 (PI.f64) 2))))) 2)
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)))) (sin.f64 (-.f64 (-.f64 (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)) (.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (+.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (*.f64 (PI.f64) 2)))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))))) 2)
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (*.f64 (PI.f64) 2))))) 2)
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(neg.f64 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))
(sin.f64 (-.f64 (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)))
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (PI.f64) 2)))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1))
(+.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) -1)
(+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) 1)
(-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(-.f64 0 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 0 (-.f64 (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))) (PI.f64)))
(-.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 -1 (-.f64 -1 (*.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 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) 1)
(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) -1)
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(neg.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))

Outputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))))
(+.f64 (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4)))) (.f64 -1/720 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 6)))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4))) (+.f64 (.f64 -1/720 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 6)) 1))
(+.f64 (.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (+.f64 (.f64 -1/720 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 6)) (+.f64 1 (.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4)))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) 0))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) 0))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2)))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 0 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) (+.f64 (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)) 0))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 1)) 0) (.f64 (sin.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 1)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 0))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (.f64 (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (.f64 (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 0)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 (cos.f64 0) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cos.f64 0) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2)) (/.f64 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 2)))) 2)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) 2))))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (sin.f64 (-.f64 (-.f64 (PI.f64) (.f64 (PI.f64) 2)) (-.f64 (/.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re)))))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (neg.f64 (/.f64 (PI.f64) 2)) (.f64 (PI.f64) 2))))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)))) (sin.f64 (-.f64 (-.f64 (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)) (.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (+.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (*.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (*.f64 (PI.f64) 2))))) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (neg.f64 (/.f64 (PI.f64) 2))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (-.f64 (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 2)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (PI.f64) 2)))
(cos.f64 (*.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 0 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 1 (-.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)) 1) -1)
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) 1)
(*.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 0 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 0 (-.f64 (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))) (PI.f64)))
(*.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 -1 (-.f64 -1 (*.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 (*.f64 y.re (atan2.f64 x.im x.re)) 1) 1)
(*.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 (atan2.f64 x.im x.re)) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) -1)
(*.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 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	34.2b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	15.9b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series358.0ms (1.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
178.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
91.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
46.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
23.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
15.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite180.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`rational.json-1`
1308×	`rational.json-2`
1308×	`rational.json-3`
1306×	`rational.json-5`
1304×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	136	37
2	540	37
3	2252	37

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 0 (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (log.f64 (neg.f64 x.im)) y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (log.f64 (neg.f64 x.im)) y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (log.f64 (neg.f64 x.im)) y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.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 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 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simplify187.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational.json-simplify-43`
1002×	`rational.json-simplify-1`
752×	`rational.json-simplify-41`
732×	`rational.json-simplify-46`
654×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	3574
1	406	3534
2	1096	3494
3	3488	3494

Stop Event

1×	node limit

Counts

78 → 72

Calls

Call 1

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

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

localize265.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (pow.f64 x.re 2) x.im)
✓	7.0b	(log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
✓	16.1b	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 228 to 79 computations (65.4% saved)

series134.0ms (0.4%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
74.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
35.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite129.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`rational.json-1`
1510×	`rational.json-2`
1510×	`rational.json-3`
1508×	`rational.json-5`
1506×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	183	107
2	656	107
3	2687	107

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs

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

(log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))

(/.f64 (pow.f64 x.re 2) x.im)

Outputs

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

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

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

simplify365.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1358×	`rational.json-simplify-47`
1020×	`rational.json-simplify-46`
926×	`rational.json-simplify-1`
832×	`rational.json-simplify-43`
820×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	436	12852
1	1068	12690
2	2503	12462
3	7113	12392

Stop Event

1×	node limit

Counts

122 → 264

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im))) y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
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(sin.f64 (-.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (-.f64 (PI.f64) (PI.f64))))
(sin.f64 (-.f64 (-.f64 (neg.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(+.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(+.f64 0 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(-.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (/.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(.f64 1 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (/.f64 1 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (/.f64 1 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))) 1))
(.f64 (/.f64 1 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(/.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(/.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (/.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(pow.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(+.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)
(+.f64 0 (/.f64 (pow.f64 x.re 2) x.im))
(-.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)
(*.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)
(*.f64 (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (pow.f64 x.re 2) x.im)))
(*.f64 1 (/.f64 (pow.f64 x.re 2) x.im))
(.f64 (.f64 (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (pow.f64 x.re 2) x.im)) (/.f64 1 (/.f64 (pow.f64 x.re 2) x.im)))
(.f64 (.f64 (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 (/.f64 1 (/.f64 (pow.f64 x.re 2) x.im)) 1))
(.f64 (/.f64 1 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (pow.f64 x.re 2) x.im)))
(pow.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)

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

localize241.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	34.1b	(sin.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))

Compiler

Compiled 216 to 39 computations (81.9% saved)

series20.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	-inf	(sin.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))
3.0ms	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 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))
3.0ms	x.im	@	inf	(sin.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))
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 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))
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 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))

rewrite132.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`rational.json-1`
1376×	`rational.json-2`
1376×	`rational.json-3`
1372×	`rational.json-5`
1370×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	204	59
2	708	59
3	2798	55

Stop Event

1×	node limit

Counts

1 → 21

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 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 0 (cos.f64 (-.f64 (PI.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) (/.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 (PI.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) (/.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (cos.f64 (-.f64 (PI.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) (/.f64 (PI.f64) 2)))))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 -1 (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)))) (*.f64 (sin.f64 (-.f64 -1 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (-.f64 1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify514.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational.json-simplify-46`
980×	`rational.json-simplify-41`
882×	`rational.json-simplify-1`
802×	`rational.json-simplify-43`
776×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	344	10741
1	899	10529
2	2255	10401
3	6640	10301

Stop Event

1×	node limit

Counts

69 → 172

Calls

Call 1

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

Outputs
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 y.im (log.f64 x.im)))))
(sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (+.f64 (.f64 1/2 (PI.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 (.f64 1/2 (PI.f64)) (.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 (.f64 1/2 (PI.f64)) (*.f64 y.im (log.f64 x.im))))))
(+.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 2))) (pow.f64 x.im 2))))
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(+.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.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 (.f64 (pow.f64 x.re 2) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))))) (pow.f64 x.im 2))))
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(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (+.f64 (*.f64 y.im (log.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (PI.f64)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 1/2 (PI.f64)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (+.f64 (PI.f64) (*.f64 y.im (log.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (+.f64 (*.f64 y.im (log.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (PI.f64)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 1/2 (PI.f64)))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (+.f64 (PI.f64) (*.f64 y.im (log.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (+.f64 (*.f64 y.im (log.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (PI.f64)))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 0 (cos.f64 (-.f64 (PI.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) (/.f64 (PI.f64) 2)))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (.f64 0 (cos.f64 (-.f64 (PI.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) (/.f64 (PI.f64) 2))))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (PI.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) (/.f64 (PI.f64) 2)))))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(-.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))) (.f64 (sin.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))))
(cos.f64 (+.f64 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re))) (-.f64 1 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 0))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) 2))) 2) (.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) 2))) 2) (.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 0)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (.f64 (cos.f64 0) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))))
(.f64 (cos.f64 0) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))))
(.f64 (cos.f64 0) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))))))
(.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) 2))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))))
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(/.f64 (.f64 2 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 2)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))
(cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(cos.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))

eval1.7s (5.6%)

Compiler: Compiled 73552 to 31624 computations (57% saved)

prune891.0ms (2.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1130	17	1147
Fresh	3	1	4
Picked	1	0	1
Done	4	0	4
Total	1138	18	1156

Error

3.4b

Counts

1156 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	42.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	32.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))) (.f64 (sin.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im))))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 y.im (log.f64 x.re))))))
	41.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 y.im (log.f64 x.im))))))
	41.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	44.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
▶	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
▶	48.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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)))))
	49.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 1236 to 710 computations (42.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series33.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	x.re	@	inf	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite201.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`rational.json-simplify-55`
836×	`rational.json-1`
836×	`rational.json-2`
836×	`rational.json-3`
832×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	138	84
2	469	84
3	1774	84
4	7528	84

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify283.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-1`
916×	`rational.json-simplify-47`
872×	`rational.json-simplify-46`
796×	`rational.json-simplify-2`
690×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	208	7006
1	408	6756
2	717	6756
3	1763	6756
4	5174	6756

Stop Event

1×	node limit

Counts

112 → 220

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (*.f64 y.re (log.f64 x.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 90 (pow.f64 x.re 6)) (.f64 30 (pow.f64 x.re 6))) y.re) (pow.f64 x.im 6))) (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6)))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 y.re (log.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 y.re (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (.f64 y.re (log.f64 x.re))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (+.f64 (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.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 0 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))) 1)
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (/.f64 (.f64 y.re (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))))))
(pow.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(neg.f64 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(log.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) 1/2) y.re))
(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 0)
(+.f64 0 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 1 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))
(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)
(.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (/.f64 (-.f64 (.f64 (log.f64 (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 (log.f64 (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 1 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)) -1)
(.f64 (.f64 (-.f64 (.f64 (log.f64 (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 (log.f64 (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 1 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (.f64 (-.f64 (.f64 (log.f64 (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 (log.f64 (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 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (/.f64 1 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (-.f64 (.f64 (log.f64 (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 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (.f64 (-.f64 (.f64 (log.f64 (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 (log.f64 (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 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (-.f64 (.f64 (log.f64 (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 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1)
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) (/.f64 (-.f64 (.f64 (log.f64 (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 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re)) -1)
(pow.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1)
(neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re)))

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 x.im) y.re)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 y.re (atan2.f64 x.im x.re))
	20.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series77.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
11.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
11.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.im) y.re)

rewrite124.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`rational.json-1`
1592×	`rational.json-2`
1592×	`rational.json-3`
1584×	`rational.json-5`
1582×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	59	11
2	206	11
3	767	11
4	3031	11

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify249.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1798×	`rational.json-simplify-47`
826×	`rational.json-simplify-111`
808×	`rational.json-simplify-1`
782×	`rational.json-simplify-104`
746×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	510
1	65	494
2	141	494
3	378	494
4	1413	494
5	3599	494
6	6466	494

Stop Event

1×	node limit

Counts

34 → 17

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(+.f64 (*.f64 (log.f64 x.im) y.re) 0)
(+.f64 0 (*.f64 (log.f64 x.im) y.re))
(-.f64 (*.f64 (log.f64 x.im) y.re) 0)
(-.f64 0 (neg.f64 (*.f64 (log.f64 x.im) y.re)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (log.f64 x.im) y.re))) 1)
(/.f64 (*.f64 (log.f64 x.im) y.re) 1)
(/.f64 (.f64 (log.f64 x.im) y.re) (/.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (log.f64 x.im) y.re)))
(pow.f64 (*.f64 (log.f64 x.im) y.re) 1)
(neg.f64 (neg.f64 (*.f64 (log.f64 x.im) y.re)))
(log.f64 (pow.f64 x.im y.re))

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.im)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	18.4b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 98 to 16 computations (83.7% saved)

series42.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	y.im	@	0	(*.f64 (log.f64 x.im) y.im)
8.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite158.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`rational.json-1`
1266×	`rational.json-2`
1266×	`rational.json-3`
1264×	`rational.json-5`
1262×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	124	44
2	502	44
3	2159	44

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-1`
868×	`rational.json-simplify-41`
796×	`rational.json-simplify-55`
754×	`rational.json-simplify-46`
722×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	3967
1	387	3923
2	1152	3893
3	3900	3871

Stop Event

1×	node limit

Counts

93 → 93

Calls

Call 1

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

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

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.8b	(*.f64 y.re (atan2.f64 x.im x.re))
	6.6b	(/.f64 (pow.f64 x.re 2) x.im)
✓	9.2b	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
	20.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 138 to 71 computations (48.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	inf	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
1.0ms	x.im	@	0	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
1.0ms	x.re	@	0	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
0.0ms	x.re	@	-inf	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
0.0ms	x.im	@	-inf	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))

rewrite205.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational.json-simplify-2`
920×	`rational.json-simplify-79`
590×	`rational.json-simplify-47`
586×	`rational.json-simplify-49`
560×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	98	29
2	299	29
3	1082	29
4	4153	29

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))

Outputs

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

simplify211.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational.json-simplify-49`
1404×	`rational.json-simplify-2`
998×	`rational.json-simplify-1`
946×	`rational.json-simplify-54`
946×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	2223
1	244	2187
2	564	2187
3	2081	2187
4	5959	2187

Stop Event

1×	node limit

Counts

43 → 104

Calls

Call 1

Inputs
(log.f64 x.im)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 x.im))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 -1 (log.f64 x.im)) (log.f64 (.f64 1/2 (pow.f64 x.re 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (.f64 -1 (log.f64 x.im)))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (*.f64 -1 (log.f64 x.im))))))
(*.f64 -1 (log.f64 (/.f64 1 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (.f64 -1 (log.f64 (/.f64 1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 -1 (log.f64 (/.f64 1 x.im))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x.im))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x.im))) (log.f64 -1))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x.im))) (log.f64 -1)))))
(+.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(+.f64 0 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(-.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) 1)
(.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(.f64 (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (/.f64 1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (/.f64 (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))))
(/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(pow.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))

Outputs
(log.f64 x.im)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 x.im))
(+.f64 (log.f64 x.im) (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 x.im) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (log.f64 x.im) (+.f64 (.f64 -1/8 (/.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 (log.f64 x.im) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))
(+.f64 (log.f64 x.im) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 x.im) (*.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 x.im) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (+.f64 (+.f64 (log.f64 x.im) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (*.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))
(+.f64 (log.f64 x.im) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (*.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))))))
(+.f64 (log.f64 x.im) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re))))
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(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (log.f64 (/.f64 1 x.re)))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (log.f64 (/.f64 1/2 x.im)))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
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(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))) (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))
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(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 -1 x.re))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (*.f64 -2 (log.f64 (/.f64 -1 x.re))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (+.f64 (log.f64 (/.f64 -1 x.re)) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (+.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)) (log.f64 (/.f64 -1 x.re))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (+.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)) (log.f64 (/.f64 -1 x.re))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x.re))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (.f64 -2 (log.f64 (/.f64 -1 x.re))))) (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -2 (+.f64 (log.f64 (/.f64 -1 x.re)) (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)) (log.f64 (/.f64 -1 x.re)))) (*.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))))
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(+.f64 (log.f64 (/.f64 1/2 x.im)) (+.f64 (.f64 -2 (+.f64 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)) (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))))
(+.f64 (.f64 -1 (log.f64 x.im)) (log.f64 (.f64 1/2 (pow.f64 x.re 2))))
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(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 (log.f64 x.im) -1) (log.f64 (*.f64 1/2 (pow.f64 x.re 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (neg.f64 (log.f64 x.im)) (log.f64 (.f64 1/2 (pow.f64 x.re 2)))))
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(+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 (log.f64 x.im) -1) (log.f64 (.f64 1/2 (pow.f64 x.re 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (neg.f64 (log.f64 x.im)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (log.f64 (*.f64 1/2 (pow.f64 x.re 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (neg.f64 (log.f64 x.im)) (log.f64 (*.f64 1/2 (pow.f64 x.re 2))))))
(+.f64 (neg.f64 (log.f64 x.im)) (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (*.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))))))
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(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (.f64 (log.f64 x.im) -1) (log.f64 (.f64 1/2 (pow.f64 x.re 2))))) (*.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (neg.f64 (log.f64 x.im)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (log.f64 (.f64 1/2 (pow.f64 x.re 2)))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (+.f64 (neg.f64 (log.f64 x.im)) (log.f64 (.f64 1/2 (pow.f64 x.re 2)))) (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))))
(+.f64 (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))) (+.f64 (neg.f64 (log.f64 x.im)) (+.f64 (log.f64 (.f64 1/2 (pow.f64 x.re 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4)))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 4))) (+.f64 (+.f64 (neg.f64 (log.f64 x.im)) (log.f64 (.f64 1/2 (pow.f64 x.re 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) (.f64 8/3 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 6))))))
(*.f64 -1 (log.f64 (/.f64 1 x.im)))
(neg.f64 (log.f64 (/.f64 1 x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (.f64 -1 (log.f64 (/.f64 1 x.im))))
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(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (*.f64 -1 (log.f64 (/.f64 1 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (.f64 -1 (log.f64 (/.f64 1 x.im))))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (.f64 -1 (log.f64 (/.f64 1 x.im))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (neg.f64 (log.f64 (/.f64 1 x.im))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x.im))) (log.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x.im))) (log.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x.im))) (log.f64 -1)))))
(+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (+.f64 (log.f64 -1) (+.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (neg.f64 (log.f64 (/.f64 -1 x.im)))) (*.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.im))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 -1)))))
(+.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 0 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(-.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(-.f64 0 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) 1)
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (/.f64 1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (/.f64 (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(pow.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(neg.f64 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	34.1b	(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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 188 to 34 computations (81.9% saved)

series20.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational.json-1`
1382×	`rational.json-2`
1382×	`rational.json-3`
1378×	`rational.json-5`
1376×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	191	55
2	652	55
3	2703	55

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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

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

simplify353.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational.json-simplify-2`
940×	`trig.json-simplify-41`
644×	`rational.json-simplify-1`
626×	`rational.json-simplify-46`
594×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	359	10625
1	872	10437
2	1863	10407
3	4680	10243

Stop Event

1×	node limit

Counts

73 → 167

Calls

Call 1

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

Outputs
(sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))))
(+.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (*.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))))
(+.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.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 (.f64 (pow.f64 x.re 2) (cos.f64 (-.f64 (.f64 1/2 (PI.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 1/2 (PI.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 (.f64 (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.re 2))) (pow.f64 x.im 2))))
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(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (atan2.f64 x.im x.re) y.re)) (PI.f64))))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(-.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(-.f64 0 (neg.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 0))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (cos.f64 0) (cos.f64 0)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 1))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 0)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(/.f64 (.f64 2 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 2)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(cos.f64 (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))

eval899.0ms (2.9%)

Compiler: Compiled 42982 to 20862 computations (51.5% saved)

prune1.1s (3.6%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	918	18	936
Fresh	5	8	13
Picked	1	0	1
Done	2	2	4
Total	926	28	954

Error

3.3b

Counts

954 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	44.6b	(.f64 (exp.f64 (-.f64 (.f64 (+.f64 (neg.f64 (log.f64 x.im)) (log.f64 (.f64 1/2 (pow.f64 x.re 2)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	51.7b	(.f64 (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	42.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	32.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))) (.f64 (sin.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im))))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 y.im (log.f64 x.re))))))
▶	41.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2)) (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2))))
	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 (PI.f64) 2) (+.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)))))
	50.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
	50.6b	(.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.im) y.im) (-.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2)))))
	49.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
✓	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	16.8b	(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)) 1)
▶	23.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 1714 to 1043 computations (39.1% saved)

localize58.0ms (0.2%)

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)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	4.5b	(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 152 to 38 computations (75% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	-inf	(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)
0.0ms	x.re	@	0	(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)
0.0ms	x.re	@	inf	(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)
0.0ms	x.im	@	inf	(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)
0.0ms	x.im	@	-inf	(+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)

rewrite222.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`rational.json-1`
962×	`rational.json-2`
962×	`rational.json-3`
958×	`rational.json-5`
956×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	172	63
2	549	51
3	2082	51

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify349.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-47`
1228×	`rational.json-simplify-49`
1096×	`rational.json-simplify-2`
844×	`rational.json-simplify-50`
734×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	189	4839
1	372	4693
2	688	4693
3	2436	4693
4	6897	4693

Stop Event

1×	node limit

Counts

75 → 116

Calls

Call 1

Inputs
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6)))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 y.re (log.f64 x.re))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 y.re (log.f64 x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (.f64 y.re (log.f64 x.re))))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (+.f64 (.f64 1/720 (/.f64 (.f64 y.re (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))) (pow.f64 x.im 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2)))))) (*.f64 y.im (atan2.f64 x.im x.re)))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1 (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (+.f64 -1 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1)))
(-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (+.f64 0 (+.f64 -1 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1))))
(-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (+.f64 1 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)))
(-.f64 -1 (+.f64 -1 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.re))))))
(-.f64 -1 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (+.f64 1 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.re))))))
(-.f64 (+.f64 -1 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))) -1)
(-.f64 1 (-.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) 1) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.re)))))
(-.f64 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im)) 0)
(-.f64 0 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.re)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) -1) (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1))
(-.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) -1) (+.f64 0 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)))
(-.f64 (+.f64 1 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re)))) (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 1))
(-.f64 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)
(-.f64 (-.f64 (+.f64 1 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re)))) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(.f64 1 (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) 1)
(.f64 (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (/.f64 1 (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (.f64 (.f64 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(/.f64 (-.f64 (log.f64 (sqrt.f64 (pow.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 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(pow.f64 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.re)))))

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

localize144.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
✓	1.5b	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite124.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational.json-simplify-2`
906×	`rational.json-simplify-79`
620×	`rational.json-simplify-47`
586×	`rational.json-simplify-54`
532×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	87	38
2	296	38
3	1076	38
4	4237	38

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

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

simplify238.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-111`
1080×	`rational.json-simplify-54`
1048×	`rational.json-simplify-43`
726×	`rational.json-simplify-50`
662×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	2030
1	189	2018
2	380	2018
3	957	2018
4	3619	2018

Stop Event

1×	node limit

Counts

102 → 49

Calls

Call 1

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

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)))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
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1
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(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(+.f64 0 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 0 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2))) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2))) (/.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4))) (/.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (/.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)))) (/.f64 (/.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 y.im -4)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(neg.f64 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.re)
✓	0.1b	(*.f64 y.im (log.f64 x.im))
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	13.3b	(cos.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 71 to 14 computations (80.3% saved)

series156.0ms (0.5%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
104.0ms	y.re	@	0	(*.f64 (log.f64 x.re) y.re)
16.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.re)
14.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.re)
11.0ms	x.re	@	inf	(*.f64 (log.f64 x.re) y.re)
5.0ms	y.re	@	-inf	(*.f64 (log.f64 x.re) y.re)

rewrite161.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`rational.json-1`
920×	`rational.json-2`
920×	`rational.json-3`
914×	`rational.json-5`
912×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	108	37
2	396	37
3	1618	37
4	7457	37

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 0 (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 0 (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) (cos.f64 1)) (*.f64 (sin.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (cos.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) (cos.f64 1)) 0) (*.f64 (sin.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (*.f64 (/.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (*.f64 (/.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im)))) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 (cos.f64 0) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2)) (/.f64 (/.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 y.im (log.f64 x.im))) (*.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 (*.f64 (PI.f64) 2) (-.f64 (*.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (sin.f64 (-.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))) (*.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 (*.f64 (PI.f64) 2) (-.f64 (*.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))) (*.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 (*.f64 (PI.f64) 2) (-.f64 (-.f64 (PI.f64) (*.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2)))) (sin.f64 (-.f64 (-.f64 (-.f64 (PI.f64) (*.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2)) (*.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (/.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (+.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))) (/.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (PI.f64) 2))) (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (-.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))) (*.f64 (PI.f64) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (PI.f64) 2))) (cos.f64 (-.f64 (*.f64 (PI.f64) 2) (*.f64 y.im (log.f64 x.im))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (-.f64 (*.f64 (PI.f64) 2) (*.f64 y.im (neg.f64 (log.f64 x.im)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (-.f64 (PI.f64) (*.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) (-.f64 (-.f64 (PI.f64) (*.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 y.im (log.f64 x.im))) (*.f64 (PI.f64) 2)))))))

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

((#(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 (*.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) y.re) (/.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (log.f64 x.re) y.re)))))) (#(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))))))

simplify146.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-1`
934×	`rational.json-simplify-44`
818×	`rational.json-simplify-45`
780×	`rational.json-simplify-64`
746×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2157
1	492	2109
2	1470	2093
3	5260	2093

Stop Event

1×	node limit

Counts

127 → 101

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))) (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 x.im) 4)))))
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(*.f64 y.re (log.f64 x.re))
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(*.f64 y.re (log.f64 x.re))
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Outputs
1
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(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(*.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 y.re (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 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 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 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 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 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 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (.f64 0 (cos.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 0 (cos.f64 (*.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(-.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(-.f64 0 (neg.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.im (log.f64 x.im)))) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 (.f64 y.im (log.f64 x.im)))) (sin.f64 1)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(-.f64 (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.im (log.f64 x.im)))) (cos.f64 1)) 0) (.f64 (sin.f64 (-.f64 -1 (.f64 y.im (log.f64 x.im)))) (sin.f64 1)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (/.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 0))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (neg.f64 (cos.f64 (.f64 y.im (log.f64 x.im)))) -1)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (.f64 (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) 1))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (.f64 (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) (cos.f64 0)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 (cos.f64 0) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (cos.f64 0) (cos.f64 (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2)) (/.f64 (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (/.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (neg.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) -1)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 2) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 y.im (log.f64 x.im))) (*.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))) (sin.f64 (-.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))) (.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))) (sin.f64 (-.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))) (.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (PI.f64) 2) (-.f64 (-.f64 (PI.f64) (.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2)))) (sin.f64 (-.f64 (-.f64 (-.f64 (PI.f64) (.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2)) (.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (/.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (+.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) (/.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (-.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) (*.f64 (PI.f64) 2)))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 (PI.f64) 2))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 y.im (log.f64 x.im))))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) (*.f64 y.im (neg.f64 (log.f64 x.im)))))) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(pow.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(sin.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(sin.f64 (-.f64 (*.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(sin.f64 (-.f64 (-.f64 (PI.f64) (*.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(sin.f64 (-.f64 (PI.f64) (-.f64 (-.f64 (PI.f64) (*.f64 y.im (log.f64 x.im))) (/.f64 (PI.f64) 2))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(sin.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 y.im (log.f64 x.im))) (.f64 (PI.f64) 2)))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (*.f64 y.im (log.f64 x.im)) 0)
(*.f64 y.im (log.f64 x.im))
(+.f64 0 (*.f64 y.im (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))
(+.f64 1 (-.f64 -1 (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(*.f64 y.im (log.f64 x.im))
(+.f64 (neg.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) -1)
(*.f64 y.im (log.f64 x.im))
(+.f64 (-.f64 -1 (*.f64 y.im (neg.f64 (log.f64 x.im)))) 1)
(*.f64 y.im (log.f64 x.im))
(-.f64 (*.f64 y.im (log.f64 x.im)) 0)
(*.f64 y.im (log.f64 x.im))
(-.f64 0 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(-.f64 -1 (-.f64 -1 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(-.f64 (neg.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) 1)
(*.f64 y.im (log.f64 x.im))
(-.f64 (-.f64 (neg.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) 0) 1)
(*.f64 y.im (log.f64 x.im))
(/.f64 (*.f64 y.im (log.f64 x.im)) 1)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 y.im (log.f64 x.im)) (/.f64 (.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(/.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))) -1)
(*.f64 y.im (log.f64 x.im))
(pow.f64 (*.f64 y.im (log.f64 x.im)) 1)
(*.f64 y.im (log.f64 x.im))
(neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(log.f64 (pow.f64 x.im y.im))
(+.f64 (*.f64 (log.f64 x.re) y.re) 0)
(*.f64 y.re (log.f64 x.re))
(+.f64 0 (*.f64 (log.f64 x.re) y.re))
(*.f64 y.re (log.f64 x.re))
(-.f64 (*.f64 (log.f64 x.re) y.re) 0)
(*.f64 y.re (log.f64 x.re))
(/.f64 (*.f64 (log.f64 x.re) y.re) 1)
(*.f64 y.re (log.f64 x.re))
(/.f64 (.f64 (log.f64 x.re) y.re) (/.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (log.f64 x.re) y.re)))
(*.f64 y.re (log.f64 x.re))
(pow.f64 (*.f64 (log.f64 x.re) y.re) 1)
(*.f64 y.re (log.f64 x.re))
(log.f64 (pow.f64 x.re y.re))

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
	15.9b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 112 to 18 computations (83.9% saved)

series23.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	y.im	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
1.0ms	y.im	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
0.0ms	y.im	@	-inf	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
0.0ms	x.im	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
0.0ms	x.im	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.im)

rewrite113.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`rational.json-1`
1746×	`rational.json-2`
1746×	`rational.json-3`
1734×	`rational.json-5`
1732×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	71	15
2	245	15
3	868	15
4	3445	15

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify212.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational.json-simplify-79`
1246×	`rational.json-simplify-49`
896×	`rational.json-simplify-2`
868×	`rational.json-simplify-47`
796×	`rational.json-simplify-76`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	593
1	55	577
2	117	577
3	273	577
4	969	577
5	2060	577
6	5030	577
7	6538	577

Stop Event

1×	node limit

Counts

31 → 15

Calls

Call 1

Inputs
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 0)
(+.f64 0 (*.f64 (log.f64 (neg.f64 x.im)) y.im))
(-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 0)
(/.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 1)
(/.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (/.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.im)))
(pow.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 1)
(log.f64 (pow.f64 (neg.f64 x.im) y.im))

Outputs
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 -1) (log.f64 x.im)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im))
(.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.im))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 0)
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(+.f64 0 (*.f64 (log.f64 (neg.f64 x.im)) y.im))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 0)
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(/.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 1)
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(/.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (/.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.im)))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(pow.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 1)
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(log.f64 (pow.f64 (neg.f64 x.im) y.im))

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.8b	(*.f64 (atan2.f64 x.im x.re) y.re)
	18.4b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	29.0b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

eval964.0ms (3.1%)

Compiler: Compiled 24291 to 10019 computations (58.8% saved)

prune526.0ms (1.7%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	684	16	700
Fresh	4	17	21
Picked	1	0	1
Done	2	4	6
Total	691	37	728

Error

3.3b

Counts

728 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	23.7b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
	41.3b	(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
	51.7b	(.f64 (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	39.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	42.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	32.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))) (.f64 (sin.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im))))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 y.im (log.f64 x.re))))))
✓	16.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2)) (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2))))
	38.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	50.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (/.f64 (PI.f64) 2)))) 2))
	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 y.im (neg.f64 (log.f64 x.im)))))) 2))
	50.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.im (log.f64 x.im)))) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) (sin.f64 1))))
	54.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))))
	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im))))))
	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2)) (/.f64 (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2))))
	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 (PI.f64) 2) (+.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)))))
	50.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 y.im (log.f64 x.im)))))
	50.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2)))))
	49.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	50.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	37.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	36.8b	(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)) 1)
✓	23.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	41.2b	(*.f64 1 1)

Compiler

Compiled 1120 to 707 computations (36.9% saved)

regimes727.0ms (2.4%)

Counts

61 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 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))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 y.im (log.f64 x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (+.f64 (neg.f64 (log.f64 x.im)) (log.f64 (.f64 1/2 (pow.f64 x.re 2)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 (log.f64 x.im) y.im) (-.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) 2) (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (/.f64 (PI.f64) 2)))) 2))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 2) (.f64 y.im (neg.f64 (log.f64 x.im)))))) 2))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 y.im (log.f64 x.im))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 1/2 (PI.f64)) (.f64 y.im (log.f64 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 (PI.f64) 2) (+.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))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) 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))) (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 y.im (log.f64 x.im)))) (cos.f64 1)) (.f64 (sin.f64 (-.f64 -1 (*.f64 y.im (log.f64 x.im)))) (sin.f64 1))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.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 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (PI.f64) 2)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2)) (/.f64 (/.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im)))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)))) 2))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.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 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))) (.f64 (sin.f64 (-.f64 -1 (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (-.f64 1 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2)) (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2)) (/.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2))))

Outputs

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

(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 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))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))

Calls

5 calls:

233.0ms	x.re
199.0ms	x.im
144.0ms	y.re
61.0ms	y.im
23.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
8.3b	5	`x.re`
8.4b	3	`x.im`
6.0b	3	`y.re`
16.5b	1	`y.im`
14.8b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1907 to 512 computations (73.2% saved)

bsearch167.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	1.0773469459291705e-20	3.5520540936609704e-6
81.0ms	-6.576357118634996e-16	-1.9073669280741729e-28

Results

118.0ms	295×	body	256	valid
15.0ms	13×	body	1024	valid
9.0ms	12×	body	512	valid
7.0ms	6×	body	512	infinite
5.0ms	4×	body	1024	infinite

Compiler

Compiled 1048 to 725 computations (30.8% saved)

regimes334.0ms (1.1%)

Counts

27 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 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))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 y.im (log.f64 x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (.f64 y.im (log.f64 x.im)) (neg.f64 (/.f64 (PI.f64) 2)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs

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

(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 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))) 1)

Calls

4 calls:

123.0ms	x.re
94.0ms	x.im
73.0ms	y.re
27.0ms	y.im

Results

Error	Segments	Branch
8.3b	5	`x.re`
8.6b	3	`x.im`
6.3b	3	`y.re`
16.8b	1	`y.im`

Compiler

Compiled 528 to 164 computations (68.9% saved)

bsearch294.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
170.0ms	1.0773469459291705e-20	3.5520540936609704e-6
123.0ms	-6.576357118634996e-16	-1.9073669280741729e-28

Results

208.0ms	296×	body	256	valid
18.0ms	15×	body	1024	valid
7.0ms	9×	body	512	valid
5.0ms	4×	body	1024	infinite
4.0ms	6×	body	512	infinite

Compiler

Compiled 948 to 705 computations (25.6% saved)

regimes276.0ms (0.9%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)) 1)) 1)

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

Calls

4 calls:

130.0ms	y.im
79.0ms	x.re
36.0ms	y.re
23.0ms	x.im

Results

Error	Segments	Branch
11.0b	2	`x.re`
11.7b	2	`x.im`
19.2b	3	`y.re`
22.1b	3	`y.im`

Compiler

Compiled 131 to 77 computations (41.2% saved)

bsearch60.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
60.0ms	-9.204197435900043e-302	-2.46880409442591e-303

Results

47.0ms	112×	body	256	valid
7.0ms	6×	body	1024	infinite
2.0ms	3×	body	512	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 307 to 214 computations (30.3% saved)

regimes201.0ms (0.7%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

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

Calls

4 calls:

111.0ms	x.re
36.0ms	y.re
30.0ms	y.im
18.0ms	x.im

Results

Error	Segments	Branch
16.5b	2	`x.re`
11.7b	2	`x.im`
19.4b	4	`y.re`
22.1b	3	`y.im`

Compiler

Compiled 100 to 62 computations (38% saved)

bsearch266.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
266.0ms	-6.3296914849572355e-298	5.5265462844453546e-306

Results

237.0ms	151×	body	256	valid
13.0ms	15×	body	1024	infinite
5.0ms	6×	body	1024	valid
4.0ms	9×	body	512	infinite
2.0ms	3×	body	512	valid
1.0ms	2×	body	256	infinite

Compiler

Compiled 418 to 295 computations (29.4% saved)

regimes60.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Outputs
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

4 calls:

20.0ms	y.re
15.0ms	y.im
12.0ms	x.re
9.0ms	x.im

Results

Error	Segments	Branch
16.5b	2	`x.re`
18.6b	2	`x.im`
19.4b	4	`y.re`
22.1b	3	`y.im`

Compiler

Compiled 86 to 55 computations (36% saved)

bsearch144.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
144.0ms	7.178120209876634e-202	1.0820294248855742e-190

Results

130.0ms	160×	body	256	valid
5.0ms	8×	body	1024	infinite
4.0ms	9×	body	512	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 428 to 325 computations (24.1% saved)

regimes44.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

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

Calls

4 calls:

20.0ms	y.re
9.0ms	x.im
6.0ms	y.im
6.0ms	x.re

Results

Error	Segments	Branch
23.7b	1	`x.re`
18.6b	2	`x.im`
20.6b	4	`y.re`
23.7b	1	`y.im`

Compiler

Compiled 73 to 49 computations (32.9% saved)

bsearch164.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
163.0ms	2.4287751460508476e-283	1.4715568675083443e-282

Results

137.0ms	11×	body	1024	infinite
21.0ms	92×	body	256	valid
1.0ms	2×	body	1024	valid
1.0ms	2×	body	512	infinite
1.0ms	2×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 240 to 169 computations (29.6% saved)

regimes23.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)

Outputs
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)

Calls

4 calls:

6.0ms	x.im
5.0ms	y.re
5.0ms	x.re
5.0ms	y.im

Results

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

Compiler

Compiled 60 to 42 computations (30% saved)

regimes19.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y.re
4.0ms	y.im
4.0ms	x.re
4.0ms	x.im

Results

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes17.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 1 1)

Calls

4 calls:

4.0ms	x.im
4.0ms	x.re
4.0ms	y.im
3.0ms	y.re

Results

Error	Segments	Branch
41.2b	1	`x.re`
41.2b	1	`x.im`
41.2b	1	`y.re`
41.2b	1	`y.im`

Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	825

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -3143773488566009/5070602400912917605986812821504) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 3022314549036573/9444732965739290427392) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -6591783121186793/10141204801825835211973625643008) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 8500259669165361/37778931862957161709568) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 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))) 1)))
(if (<=.f64 x.re -1930258305619341/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 6278370745232035/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(*.f64 1 1)

Outputs
(if (<=.f64 y.re -3143773488566009/5070602400912917605986812821504) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 3022314549036573/9444732965739290427392) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 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))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -6591783121186793/10141204801825835211973625643008) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 8500259669165361/37778931862957161709568) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 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))) 1)))
(if (<=.f64 x.re -1930258305619341/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 6278370745232035/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1) 1)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(*.f64 1 1)
1

Compiler

Compiled 317 to 190 computations (40.1% saved)

soundness254.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-1`
916×	`rational.json-simplify-47`
872×	`rational.json-simplify-46`
796×	`rational.json-simplify-2`
690×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	208	7006
1	408	6756
2	717	6756
3	1763	6756
4	5174	6756

Stop Event

1×	node limit

Compiler

Compiled 43 to 28 computations (34.9% saved)

end330.0ms (1.1%)

Compiler: Compiled 285 to 115 computations (59.6% saved)