Details

analyze455.0ms (1.1%)

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)

sample9.5s (22.2%)

Results

3.7s	7906×	body	256	valid
3.3s	2456×	body	1024	infinite
1.2s	993×	body	512	infinite
741.0ms	1010×	body	256	infinite
303.0ms	190×	body	1024	valid
60.0ms	150×	body	512	valid
34.0ms	37×	body	2048	infinite
9.0ms	10×	body	2048	valid

Bogosity

preprocess75.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1812×	`rational.json-simplify-51`
1318×	`rational.json-simplify-46`
1240×	`rational.json-simplify-49`
848×	`rational.json-simplify-19`
834×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	168	805
2	251	805
3	439	805
4	1231	805
5	5092	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)

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational.json-simplify-2`
928×	`rational.json-simplify-44`
836×	`rational.json-simplify-39`
830×	`rational.json-simplify-47`
730×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	36	115
2	57	115
3	117	115
4	452	115
5	4122	115
6	6462	115
7	7609	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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

34.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (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

▶

34.8b

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	35.2b	(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)

series22.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

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

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`rational.json-simplify-35`
1060×	`rational.json-1`
1060×	`rational.json-2`
1060×	`rational.json-3`
1046×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	122	104
2	267	104
3	700	104
4	2581	104

Stop Event

1×	node limit

Counts

4 → 48

Calls

Call 1

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

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

simplify189.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1414×	`rational.json-simplify-51`
1310×	`rational.json-simplify-35`
1146×	`rational.json-simplify-2`
924×	`rational.json-simplify-43`
702×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	407	10744
1	1026	10540
2	2147	10464
3	4500	10088
4	6968	10088

Stop Event

1×	node limit

Counts

168 → 240

Calls

Call 1

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

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

eval1.1s (2.5%)

Compiler: Compiled 20535 to 8228 computations (59.9% saved)

prune180.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	301	5	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	5	307

Error

20.3b

Counts

307 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	48.7b	(.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 (+.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))))
▶	47.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	39.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	21.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 364 to 220 computations (39.6% saved)

localize158.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	20.8b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series4.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite158.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`rational.json-1`
1174×	`rational.json-simplify-2`
1142×	`exponential.json-3`
1142×	`rational.json-2`
1142×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	59	30
2	133	30
3	291	30
4	602	30
5	1507	30
6	3258	30
7	5533	30
8	6825	30
9	7869	30

Stop Event

1×	node limit

Counts

2 → 60

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

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

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

simplify745.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-52`
1236×	`rational.json-simplify-35`
1000×	`rational.json-simplify-2`
878×	`rational.json-simplify-51`
832×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1094
1	341	1094
2	957	1094
3	2864	1094
4	5615	1094
5	6995	1094

Stop Event

1×	node limit

Counts

64 → 77

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 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(-.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))) 1)
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))
(.f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 4)
(/.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))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)))) 64)
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(+.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 -1 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1))
(+.f64 -2 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(+.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) -1)
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)))
(+.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) -2)
(+.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) -1) (-.f64 1 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1/2)))
(-.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 1 (-.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) -2)))
(-.f64 -1 (-.f64 -1 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 2 (-.f64 2 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 -2 (-.f64 -2 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.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 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1/2))
(-.f64 3 (-.f64 3 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) 2)
(-.f64 -3 (+.f64 -3 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 -2 (*.f64 y.re (atan2.f64 x.im x.re))) -2)
(-.f64 (+.f64 -3 (*.f64 y.re (atan2.f64 x.im x.re))) -3)
(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(/.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) -1)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) -2)) -2)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) -4)) -4)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 8)) 8)
(/.f64 (.f64 2 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 8))) 16)
(/.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -8) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 8)))) 32)
(/.f64 (.f64 2 (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -8)) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 8))))) 64)
(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 (.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (+.f64 (.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4)) 1))
(+.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 (.f64 -1/2 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 2)) (+.f64 (.f64 1/24 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4)) 1)) (.f64 -1/720 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 6)))
(+.f64 1 (+.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 -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 1 (.f64 -1/720 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 6))))
(+.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 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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(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 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 4 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 1/2 (.f64 (cos.f64 (*.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))) 1/2) 2)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 1/4 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 4)
(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 (.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))) 4) 4)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) 8)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)))) 64)
(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)))
(+.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 -1 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 -2 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2))
(*.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 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 2) -2)
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) -1) (-.f64 1 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1/2)))
(+.f64 (+.f64 -1 (.f64 y.re (.f64 1/2 (atan2.f64 x.im x.re)))) (-.f64 1 (.f64 -1/2 (.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 -1 (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (-.f64 1 (.f64 -1/2 (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 -1 (+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) (-.f64 1 (.f64 (atan2.f64 x.im x.re) (.f64 -1/2 y.re)))))
(+.f64 -1 (+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) (-.f64 1 (.f64 -1/2 (.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 1 (-.f64 1 (*.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))) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) -2)))
(*.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 2 (-.f64 2 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 -2 (-.f64 -2 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 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 (atan2.f64 x.im x.re) (.f64 y.re 1/2)) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1/2))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 3 (-.f64 3 (*.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)) 2) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 -3 (+.f64 -3 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 -2 (*.f64 y.re (atan2.f64 x.im x.re))) -2)
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 -3 (*.f64 y.re (atan2.f64 x.im x.re))) -3)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) -1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) -2)) -2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) -4)) -4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 8)) 8)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 8))) 16)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -8) -8)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 8)))) 32)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -8)) -16)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 8))))) 64)
(*.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))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	18.8b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series538.0ms (1.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
438.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
74.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
13.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	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.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite99.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`rational.json-1`
1522×	`rational.json-2`
1522×	`rational.json-3`
1474×	`exponential.json-3`
1474×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	85	33
2	178	33
3	390	33
4	773	33
5	1815	33
6	3693	33
7	6258	33

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

simplify218.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1862×	`rational.json-simplify-35`
1660×	`rational.json-simplify-2`
1228×	`rational.json-simplify-51`
1010×	`rational.json-simplify-26`
1002×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	2904
1	253	2876
2	580	2846
3	1278	2824
4	2010	2804
5	3617	2804
6	4299	2804
7	4904	2804
8	6116	2804
9	6824	2804
10	7290	2804

Stop Event

1×	node limit

Counts

70 → 74

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

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)))))))
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(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 1 (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 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(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) 1/2)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 4 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(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))) 4) 1/4)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 1/2 (.f64 (cos.f64 (+.f64 (.f64 (log.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 x.im))))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 1/4 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(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))) 4) 4)
(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))) 1)
(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))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(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))) 8) 8)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8)) 16)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 8))) 32)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 8)))) 64)
(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))))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.6b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series54.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite117.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`rational.json-1`
1522×	`rational.json-2`
1522×	`rational.json-3`
1474×	`exponential.json-3`
1474×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	85	33
2	178	33
3	390	33
4	773	33
5	1815	33
6	3693	33
7	6258	33

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

simplify229.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1866×	`rational.json-simplify-35`
1652×	`rational.json-simplify-2`
1226×	`rational.json-simplify-51`
1018×	`rational.json-simplify-26`
994×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	2898
1	256	2870
2	591	2824
3	1292	2804
4	2019	2804
5	3612	2804
6	4299	2804
7	4892	2804
8	6130	2804
9	6814	2804
10	7260	2804

Stop Event

1×	node limit

Counts

70 → 68

Calls

Call 1

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

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

localize101.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.3b	(/.f64 (pow.f64 x.re 2) x.im)
✓	9.9b	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
✓	18.9b	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 220 to 78 computations (64.5% saved)

series20.0ms (0%)

Counts

3 → 72

Calls

24 calls:

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

rewrite91.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational.json-1`
1490×	`rational.json-2`
1490×	`rational.json-3`
1484×	`rational.json-4`
1478×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	126	99
2	259	99
3	593	99
4	1429	99
5	4212	99

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs

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

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

simplify383.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational.json-simplify-35`
1266×	`rational.json-simplify-51`
1252×	`rational.json-simplify-2`
730×	`rational.json-simplify-61`
712×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	461	12294
1	1142	12090
2	2274	12006
3	4220	11656
4	6737	11656

Stop Event

1×	node limit

Counts

146 → 291

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/8 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/24 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.re 6)))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im)))
(+.f64 (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 2))) (+.f64 (.f64 4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 -2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4)))))) (+.f64 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))) (+.f64 (.f64 8/3 (.f64 y.im (pow.f64 x.im 6))) (.f64 -4/3 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))) (pow.f64 x.re 6)) (.f64 -2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (*.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im))))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 -1 x.re)))) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
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(log.f64 x.im)
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(+.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 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)
(+.f64 0 (cos.f64 (+.f64 (.f64 (log.f64 (+.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 (cos.f64 (+.f64 (.f64 (log.f64 (+.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) (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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))
(-.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)
(.f64 1/2 (.f64 2 (cos.f64 (+.f64 (.f64 (log.f64 (+.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 2 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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))
(.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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) 1))
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (+.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 2 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)))) 1/2)
(.f64 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)
(/.f64 (.f64 2 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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))) 16)
(pow.f64 (cos.f64 (+.f64 (.f64 (log.f64 (+.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)
(+.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 (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2))
(-.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)
(.f64 1/2 (.f64 2 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))
(.f64 2 (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2))
(.f64 2 (.f64 (/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) 1))
(.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(.f64 1 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(.f64 (.f64 2 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) 1/2)
(.f64 (/.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) 2)
(/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)
(/.f64 (.f64 2 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) 2)
(/.f64 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 x.im (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 4))) 16)
(pow.f64 (log.f64 (+.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 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 0 (/.f64 (pow.f64 x.re 2) x.im))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im))))
(-.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)
(-.f64 0 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)))
(.f64 1/2 (.f64 (pow.f64 x.re 2) (/.f64 2 x.im)))
(.f64 2 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(*.f64 (pow.f64 x.re 2) (/.f64 1 x.im))
(.f64 (pow.f64 x.re 2) (.f64 2 (*.f64 1/2 (/.f64 1 x.im))))
(.f64 (pow.f64 x.re 2) (.f64 (*.f64 2 (/.f64 1 x.im)) 1/2))
(.f64 (pow.f64 x.re 2) (.f64 (/.f64 2 x.im) 1/2))
(.f64 (pow.f64 x.re 2) (.f64 (.f64 2 (.f64 1/2 (/.f64 1 x.im))) 1))
(.f64 (pow.f64 x.re 2) (+.f64 (.f64 1/2 (/.f64 1 x.im)) (/.f64 1/2 x.im)))
(*.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)
(.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) 2)
(*.f64 1 (/.f64 (pow.f64 x.re 2) x.im))
(.f64 (.f64 2 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 1 x.im)))
(.f64 (.f64 2 (pow.f64 x.re 2)) (/.f64 1/2 x.im))
(.f64 (.f64 2 (pow.f64 x.re 2)) (.f64 (.f64 1/2 (/.f64 1/2 x.im)) 2))
(*.f64 -1 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)))
(.f64 -1 (.f64 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)) 1))
(.f64 (.f64 (pow.f64 x.re 2) (/.f64 2 x.im)) 1/2)
(.f64 (.f64 (pow.f64 x.re 2) 4) (*.f64 1/2 (/.f64 1/2 x.im)))
(.f64 (.f64 (pow.f64 x.re 2) 4) (/.f64 2 (*.f64 x.im 8)))
(.f64 (.f64 (pow.f64 x.re 2) 4) (.f64 (/.f64 2 (.f64 x.im 8)) 1))
(.f64 (.f64 (pow.f64 x.re 2) 4) (*.f64 1/4 (/.f64 1 x.im)))
(*.f64 (/.f64 1 x.im) (pow.f64 x.re 2))
(.f64 (/.f64 1 x.im) (.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2))
(*.f64 (neg.f64 (pow.f64 x.re 2)) (/.f64 -1 x.im))
(.f64 (neg.f64 (pow.f64 x.re 2)) (.f64 (/.f64 -1 x.im) 1))
(.f64 (.f64 1/2 (/.f64 1 x.im)) (*.f64 2 (pow.f64 x.re 2)))
(.f64 (/.f64 1/2 x.im) (.f64 2 (pow.f64 x.re 2)))
(.f64 (.f64 2 (/.f64 1 x.im)) (*.f64 1/2 (pow.f64 x.re 2)))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 x.im))) (pow.f64 x.re 2))
(*.f64 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)) -1)
(.f64 (/.f64 2 (.f64 x.im 8)) (*.f64 (pow.f64 x.re 2) 4))
(*.f64 (/.f64 -1 x.im) (neg.f64 (pow.f64 x.re 2)))
(pow.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)
(neg.f64 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)))

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

localize140.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.3b	(/.f64 (pow.f64 x.re 2) x.im)
✓	7.5b	(log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
✓	16.3b	(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)))
	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 228 to 79 computations (65.4% saved)

series158.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
147.0ms	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)))
2.0ms	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)))
2.0ms	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)))
1.0ms	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)))
1.0ms	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)))

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational.json-1`
1706×	`rational.json-2`
1706×	`rational.json-3`
1700×	`rational.json-4`
1692×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
1	136	94
2	285	94
3	650	94
4	1659	94
5	4901	94

Stop Event

1×	node limit

Counts

2 → 32

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))))

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

simplify331.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-35`
1010×	`rational.json-simplify-51`
1010×	`rational.json-simplify-2`
866×	`rational.json-simplify-45`
816×	`rational.json-simplify-42`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	386	12128
1	974	11812
2	1986	11696
3	3929	11376
4	5265	11298
5	6266	11292
6	6952	11292

Stop Event

1×	node limit

Counts

104 → 276

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

eval1.0s (2.5%)

Compiler: Compiled 71332 to 31232 computations (56.2% saved)

prune552.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1202	11	1213
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1207	11	1218

Error

3.4b

Counts

1218 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	49.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	48.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 (pow.f64 x.re 2) 1/2)) (neg.f64 (log.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	48.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
▶	21.1b	(.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))) 1)
	32.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	38.4b	(.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))))
▶	56.6b	(.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 (+.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))))
	42.0b	(.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))))
	42.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	34.0b	(.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))))
▶	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 650 to 402 computations (38.2% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series29.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
18.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
1.0ms	x.im	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.re	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.im	@	-inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

rewrite139.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`rational.json-simplify-35`
1034×	`rational.json-1`
1034×	`rational.json-2`
1034×	`rational.json-3`
1020×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	112	88
2	246	88
3	654	88
4	2441	88
5	7790	88

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify193.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational.json-simplify-51`
1062×	`rational.json-simplify-1`
938×	`rational.json-simplify-2`
904×	`rational.json-simplify-54`
886×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	10355
1	896	10047
2	1778	9701
3	3440	9075
4	5510	9075

Stop Event

1×	node limit

Counts

115 → 301

Calls

Call 1

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

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

localize104.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	20.8b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series11.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	inf	(*.f64 (log.f64 x.im) y.re)

rewrite97.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`rational.json-1`
1828×	`rational.json-2`
1158×	`rational.json-3`
1110×	`exponential.json-3`
1110×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	103	11
3	218	11
4	395	11
5	872	11
6	2220	11
7	4923	11
8	7649	11

Stop Event

1×	node limit

Counts

1 → 16

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 y.re (log.f64 (sqrt.f64 x.im))) (*.f64 y.re (log.f64 (sqrt.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.im) y.re) 0)))) (#(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) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (*.f64 y.re 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.re 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.re 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.re 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.re 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.re 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x.im) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 x.im) (+.f64 y.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.im) (*.f64 y.re 4))))))))

simplify118.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational.json-simplify-2`
1020×	`rational.json-simplify-46`
864×	`rational.json-simplify-35`
850×	`rational.json-simplify-1`
690×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	600
1	144	584
2	284	584
3	600	580
4	1898	580
5	3798	580
6	6151	580

Stop Event

1×	node limit

Counts

40 → 26

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 y.re (log.f64 (sqrt.f64 x.im))) (.f64 y.re (log.f64 (sqrt.f64 x.im))))
(-.f64 (*.f64 (log.f64 x.im) y.re) 0)
(/.f64 (*.f64 (log.f64 x.im) y.re) 1)
(/.f64 (*.f64 (log.f64 x.im) (+.f64 y.re y.re)) 2)
(/.f64 (.f64 (log.f64 x.im) (.f64 y.re 4)) 4)
(/.f64 (.f64 (log.f64 x.im) (.f64 y.re 8)) 8)
(/.f64 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.re 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.re 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.re 8))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.re 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.re 8)))))) 128)
(pow.f64 (*.f64 (log.f64 x.im) y.re) 1)
(log.f64 (pow.f64 x.im y.re))
(log.f64 (pow.f64 (sqrt.f64 x.im) (+.f64 y.re y.re)))
(log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.im) (*.f64 y.re 4))))

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 -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 -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 -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 (+.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 y.re (log.f64 (sqrt.f64 x.im))) (.f64 y.re (log.f64 (sqrt.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 (*.f64 (log.f64 x.im) y.re) 1)
(*.f64 y.re (log.f64 x.im))
(/.f64 (*.f64 (log.f64 x.im) (+.f64 y.re y.re)) 2)
(*.f64 y.re (log.f64 x.im))
(/.f64 (.f64 (log.f64 x.im) (.f64 y.re 4)) 4)
(*.f64 y.re (log.f64 x.im))
(/.f64 (.f64 (log.f64 x.im) (.f64 y.re 8)) 8)
(*.f64 y.re (log.f64 x.im))
(/.f64 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.re 8))) 16)
(*.f64 y.re (log.f64 x.im))
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.re 8)))) 32)
(*.f64 y.re (log.f64 x.im))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.re 8))))) 64)
(*.f64 y.re (log.f64 x.im))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.re 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.re 8)))))) 128)
(*.f64 y.re (log.f64 x.im))
(pow.f64 (*.f64 (log.f64 x.im) y.re) 1)
(*.f64 y.re (log.f64 x.im))
(log.f64 (pow.f64 x.im y.re))
(log.f64 (pow.f64 (sqrt.f64 x.im) (+.f64 y.re y.re)))
(log.f64 (pow.f64 (sqrt.f64 (pow.f64 x.im y.re)) 2))
(log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.im) (*.f64 y.re 4))))
(log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x.im)) (*.f64 y.re 4)))
(*.f64 y.re (log.f64 (sqrt.f64 (pow.f64 x.im 2))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x.im y.re))))

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
	0.7b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	20.8b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series107.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x.im	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
47.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
7.0ms	x.im	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
0.0ms	y.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

simplify115.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational.json-simplify-51`
976×	`rational.json-simplify-1`
912×	`rational.json-simplify-2`
806×	`exponential.json-simplify-31`
750×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	642
1	130	626
2	242	626
3	491	626
4	1430	626
5	3950	626
6	7288	626

Stop Event

1×	node limit

Counts

38 → 24

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 x.im) y.im)
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	18.8b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series8.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y.im	@	0	(*.f64 (log.f64 x.im) y.im)
0.0ms	y.im	@	inf	(*.f64 (log.f64 x.im) y.im)
0.0ms	y.im	@	-inf	(*.f64 (log.f64 x.im) y.im)
0.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.im)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.im)

rewrite98.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`rational.json-1`
1828×	`rational.json-2`
1158×	`rational.json-3`
1110×	`exponential.json-3`
1110×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	103	11
3	218	11
4	395	11
5	872	11
6	2220	11
7	4923	11
8	7649	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(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 y.im (log.f64 (sqrt.f64 x.im))) (*.f64 y.im (log.f64 (sqrt.f64 x.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) (+.f64 y.im y.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (*.f64 y.im 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (*.f64 y.im 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.im 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.im 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.im 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.im 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.im) (*.f64 y.im 8)))))) 128)))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 x.im) (+.f64 y.im y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.im) (*.f64 y.im 4))))))))

simplify81.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational.json-simplify-2`
1038×	`rational.json-simplify-46`
872×	`rational.json-simplify-1`
866×	`rational.json-simplify-35`
690×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	424
1	144	408
2	284	408
3	602	404
4	1905	404
5	3791	404
6	6225	404

Stop Event

1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(.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 (*.f64 (log.f64 x.im) y.im) 0)
(+.f64 0 (*.f64 (log.f64 x.im) y.im))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.im))) (.f64 y.im (log.f64 (sqrt.f64 x.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) (+.f64 y.im y.im)) 2)
(/.f64 (.f64 (log.f64 x.im) (.f64 y.im 4)) 4)
(/.f64 (.f64 (log.f64 x.im) (.f64 y.im 8)) 8)
(/.f64 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.im 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.im 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.im 8))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.im 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.im 8)))))) 128)
(pow.f64 (*.f64 (log.f64 x.im) y.im) 1)
(log.f64 (pow.f64 x.im y.im))
(log.f64 (pow.f64 (sqrt.f64 x.im) (+.f64 y.im y.im)))
(log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.im) (*.f64 y.im 4))))

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.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 (*.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 y.im (log.f64 (sqrt.f64 x.im))) (.f64 y.im (log.f64 (sqrt.f64 x.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) (+.f64 y.im y.im)) 2)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 (log.f64 x.im) (.f64 y.im 4)) 4)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 (log.f64 x.im) (.f64 y.im 8)) 8)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.im 8))) 16)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.im 8)))) 32)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (*.f64 y.im 8))))) 64)
(*.f64 y.im (log.f64 x.im))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.im 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.im) (.f64 y.im 8)))))) 128)
(*.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))
(log.f64 (pow.f64 (sqrt.f64 x.im) (+.f64 y.im y.im)))
(log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.im) (*.f64 y.im 4))))
(log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x.im)) (*.f64 y.im 4)))
(*.f64 y.im (log.f64 (pow.f64 (sqrt.f64 x.im) 2)))

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	6.3b	(/.f64 (pow.f64 x.re 2) x.im)
	9.9b	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
	18.9b	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 164 to 74 computations (54.9% saved)

eval947.0ms (2.2%)

Compiler: Compiled 46628 to 22948 computations (50.8% saved)

prune598.0ms (1.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1011	14	1025
Fresh	3	3	6
Picked	1	0	1
Done	3	1	4
Total	1018	18	1036

Error

3.3b

Counts

1036 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.1b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	48.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
	32.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	32.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	38.4b	(.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))))
	38.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	58.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	52.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	57.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 (pow.f64 x.re 2) 1/2)) (neg.f64 (log.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	42.0b	(.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))))
	56.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) 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)))
	42.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 y.im (log.f64 x.im)) (sin.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 x.im)) 2)))))
	34.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	47.8b	(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	24.4b	(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (pow.f64 x.im 2)))) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	22.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 939 to 610 computations (35% saved)

localize94.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.3b	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	32.8b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 119 to 28 computations (76.5% saved)

series96.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Expression
66.0ms	x.im	@	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
16.0ms	y.re	@	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
4.0ms	x.im	@	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	x.re	@	(exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.im	@	(exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im)))

rewrite102.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-simplify-35`
1050×	`rational.json-1`
1050×	`rational.json-2`
1050×	`rational.json-3`
1038×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	109
1	121	109
2	269	109
3	694	107
4	2561	107
5	7993	107

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify513.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational.json-simplify-2`
1022×	`rational.json-simplify-43`
964×	`rational.json-simplify-35`
904×	`rational.json-simplify-54`
808×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	404	12095
1	995	11929
2	2021	11399
3	4048	11351
4	5738	11351

Stop Event

1×	node limit

Counts

155 → 357

Calls

Call 1

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

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

localize11.0ms (0%)

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)))
✓	1.9b	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite132.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`rational.json-simplify-35`
1394×	`exponential.json-3`
1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	67	38
2	152	38
3	332	38
4	635	38
5	1487	38
6	3151	38
7	5368	38
8	6832	38

Stop Event

1×	node limit

Counts

2 → 67

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 -1 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (atan2.f64 x.im x.re) -1/2) y.im) (*.f64 (*.f64 (atan2.f64 x.im x.re) -1/2) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 (atan2.f64 x.im x.re)) 1/2) y.im) (*.f64 (*.f64 (neg.f64 (atan2.f64 x.im x.re)) 1/2) 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 (*.f64 (atan2.f64 x.im x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2) (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2))))) (#(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 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)))) (#(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 2 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (fabs.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (fabs.f64 (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (fabs.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (fabs.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (exp.f64 -1)) (fabs.f64 (exp.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (exp.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))) (fabs.f64 (exp.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)))) (fabs.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)))))))) (#(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 1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 2 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8))))) 128)))) (#(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 pow.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))))

simplify208.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-44`
1160×	`rational.json-simplify-47`
946×	`rational.json-simplify-61`
748×	`rational.json-simplify-41`
660×	`rational.json-simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2769
1	385	2769
2	1233	2757
3	6333	2757

Stop Event

1×	node limit

Counts

139 → 88

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 -1 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)) (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)))
(+.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) -1)
(+.f64 (.f64 (.f64 (atan2.f64 x.im x.re) -1/2) y.im) (.f64 (.f64 (atan2.f64 x.im x.re) -1/2) y.im))
(+.f64 (.f64 (.f64 (neg.f64 (atan2.f64 x.im x.re)) 1/2) y.im) (.f64 (.f64 (neg.f64 (atan2.f64 x.im x.re)) 1/2) y.im))
(-.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 0)
(-.f64 0 (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(/.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2)) 2)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)) 4)
(/.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)
(/.f64 (.f64 -8 (.f64 (atan2.f64 x.im x.re) y.im)) 8)
(/.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) -2)
(/.f64 (.f64 2 (.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im))) 16)
(/.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 (atan2.f64 x.im x.re) y.im)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 -8 (.f64 (atan2.f64 x.im x.re) y.im)))))) 128)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)
(neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(+.f64 (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 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(.f64 2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2))
(.f64 2 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2)))
(.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 1/2)
(.f64 4 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4))
(.f64 4 (fabs.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)))
(.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4) 1/4)
(.f64 1/2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2))
(.f64 1/2 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)))
(.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2) 2)
(.f64 1/4 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4))
(.f64 1/4 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)))
(.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4) 4)
(.f64 (exp.f64 -1) (exp.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 -1))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2))))
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2)) 2)
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)) 1/2)
(.f64 (fabs.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)) 4)
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)) 1/4)
(.f64 (fabs.f64 (exp.f64 -1)) (fabs.f64 (exp.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (fabs.f64 (exp.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)))) (fabs.f64 (exp.f64 -1)))
(.f64 (fabs.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)))) (fabs.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)))))
(/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(/.f64 1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 2 (.f64 2 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2)
(/.f64 4 (.f64 2 (.f64 2 (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(/.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4) 4)
(/.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8) 8)
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8))))) 128)
(/.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))))
(pow.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(fabs.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 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
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(.f64 -1 (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
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(exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im)))
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(exp.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) y.im)))
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1
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(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(+.f64 -1 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 y.im (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)) (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)))
(*.f64 (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 y.im (neg.f64 (atan2.f64 x.im x.re)))
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(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 0)
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(-.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
(/.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)
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(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -2)) 2)
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -4)) 4)
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(/.f64 (.f64 -8 (.f64 (atan2.f64 x.im x.re) y.im)) 8)
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(/.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) -2)
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(/.f64 (.f64 2 (.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im))) 16)
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(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 (atan2.f64 x.im x.re) y.im)))) 32)
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 -8 (*.f64 (atan2.f64 x.im x.re) y.im))))) 64)
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
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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 (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 (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 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 2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2))
(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 2 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2)))
(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 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 1/2)
(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 4 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.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 4 (fabs.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.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) (neg.f64 y.im))) 4) 1/4)
(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 1/2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.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 1/2 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.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 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2) 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 1/4 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.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 1/4 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.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) (neg.f64 y.im))) 4) 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 -1) (exp.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) 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 1 (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 -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) (.f64 y.im -1/2))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2))))
(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 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2)) 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 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)) 1/2)
(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 (fabs.f64 (/.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)) 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 (fabs.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 4)) 1/4)
(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 (fabs.f64 (exp.f64 -1)) (fabs.f64 (exp.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) 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 (fabs.f64 (exp.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)))) (fabs.f64 (exp.f64 -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 (fabs.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im -1/2)))) (fabs.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)))))
(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) (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 1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) 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 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) 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 2 (.f64 2 (exp.f64 (.f64 (atan2.f64 x.im x.re) 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))) 2) 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 4 (.f64 2 (.f64 2 (exp.f64 (*.f64 (atan2.f64 x.im x.re) 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))) 4) 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) (neg.f64 y.im))) 8) 8)
(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 2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8)) 16)
(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 2 (.f64 2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8))) 32)
(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 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8)))) 64)
(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 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 8))))) 128)
(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))))
(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))))
(fabs.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))))

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 64 to 14 computations (78.1% saved)

series45.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
16.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
9.0ms	x.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
8.0ms	x.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
6.0ms	x.im	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite158.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`rational.json-simplify-35`
1012×	`rational.json-1`
1012×	`rational.json-2`
1012×	`rational.json-3`
986×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	92	85
2	196	85
3	433	85
4	845	85
5	1996	69
6	4288	69

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify393.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1636×	`rational.json-simplify-35`
1054×	`rational.json-simplify-59`
894×	`rational.json-simplify-2`
834×	`rational.json-simplify-1`
780×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	8321
1	763	8007
2	2254	7891
3	4806	7845

Stop Event

1×	node limit

Counts

235 → 203

Calls

Call 1

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

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

localize156.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.im)
	0.7b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.9b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.6b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series10.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y.im	@	0	(*.f64 (log.f64 x.re) y.im)
0.0ms	y.im	@	inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	y.im	@	-inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.im)

rewrite282.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`rational.json-1`
1828×	`rational.json-2`
1158×	`rational.json-3`
1110×	`exponential.json-3`
1110×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	103	11
3	218	11
4	395	11
5	872	11
6	2220	11
7	4923	11
8	7649	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.im (log.f64 (sqrt.f64 x.re))) (*.f64 y.im (log.f64 (sqrt.f64 x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (+.f64 y.im y.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 x.re) (*.f64 y.im 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.re) (*.f64 y.im 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.re) (*.f64 y.im 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.re) (*.f64 y.im 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (log.f64 x.re) (*.f64 y.im 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x.re) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 x.re) (+.f64 y.im y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.re) (*.f64 y.im 4))))))))

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational.json-simplify-2`
1038×	`rational.json-simplify-46`
872×	`rational.json-simplify-1`
866×	`rational.json-simplify-35`
690×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	424
1	144	408
2	284	408
3	602	404
4	1905	404
5	3791	404
6	6225	404

Stop Event

1×	node limit

Counts

24 → 23

Calls

Call 1

Inputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (*.f64 (log.f64 x.re) y.im) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.im))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 y.im (log.f64 (sqrt.f64 x.re))))
(-.f64 (*.f64 (log.f64 x.re) y.im) 0)
(/.f64 (*.f64 (log.f64 x.re) y.im) 1)
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.im y.im)) 2)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 4)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.im 8)) 8)
(/.f64 (.f64 2 (.f64 (log.f64 x.re) (*.f64 y.im 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.im 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (*.f64 y.im 8))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.im 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.im 8)))))) 128)
(pow.f64 (*.f64 (log.f64 x.re) y.im) 1)
(log.f64 (pow.f64 x.re y.im))
(log.f64 (pow.f64 (sqrt.f64 x.re) (+.f64 y.im y.im)))
(log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.re) (*.f64 y.im 4))))

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (*.f64 (log.f64 x.re) y.im) 0)
(*.f64 y.im (log.f64 x.re))
(+.f64 0 (*.f64 (log.f64 x.re) y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 y.im (log.f64 (sqrt.f64 x.re))))
(*.f64 y.im (log.f64 x.re))
(-.f64 (*.f64 (log.f64 x.re) y.im) 0)
(*.f64 y.im (log.f64 x.re))
(/.f64 (*.f64 (log.f64 x.re) y.im) 1)
(*.f64 y.im (log.f64 x.re))
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.im y.im)) 2)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 4)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (log.f64 x.re) (.f64 y.im 8)) 8)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 2 (.f64 (log.f64 x.re) (*.f64 y.im 8))) 16)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.im 8)))) 32)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (*.f64 y.im 8))))) 64)
(*.f64 y.im (log.f64 x.re))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.im 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.im 8)))))) 128)
(*.f64 y.im (log.f64 x.re))
(pow.f64 (*.f64 (log.f64 x.re) y.im) 1)
(*.f64 y.im (log.f64 x.re))
(log.f64 (pow.f64 x.re y.im))
(log.f64 (pow.f64 (sqrt.f64 x.re) (+.f64 y.im y.im)))
(log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.re) (*.f64 y.im 4))))
(log.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x.re)) (*.f64 y.im 4)))
(*.f64 y.im (log.f64 (pow.f64 (sqrt.f64 x.re) 2)))

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.3b	(/.f64 (pow.f64 x.re 2) x.im)
✓	7.5b	(log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
✓	11.0b	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
	31.6b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 185 to 66 computations (64.3% saved)

series64.0ms (0.1%)

Counts

2 → 52

Calls

15 calls:

Time	Variable		Point	Expression
55.0ms	y.im	@	-inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.im	@	inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.re	@	inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.im	@	0	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.im	@	-inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))

rewrite82.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`rational.json-1`
1620×	`rational.json-2`
1620×	`rational.json-3`
1612×	`rational.json-4`
1604×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	99	68
2	218	68
3	517	68
4	1282	68
5	4755	68

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

simplify736.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational.json-simplify-35`
1092×	`rational.json-simplify-51`
934×	`rational.json-simplify-2`
844×	`rational.json-simplify-43`
788×	`exponential.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	349	8686
1	878	8400
2	1889	8330
3	4056	8032
4	5710	7954
5	6567	7954
6	7142	7954

Stop Event

1×	node limit

Counts

86 → 244

Calls

Call 1

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

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

eval1.9s (4.4%)

Compiler: Compiled 48250 to 25812 computations (46.5% saved)

prune377.0ms (0.9%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1126	10	1136
Fresh	4	8	12
Picked	1	0	1
Done	2	3	5
Total	1133	21	1154

Error

3.3b

Counts

1154 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	35.0b	(*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)
	37.9b	(.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	41.6b	(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
	42.6b	(.f64 (.f64 (exp.f64 (.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im)) 1/2)) (exp.f64 (.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im)) 1/2))) 1)
	24.6b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	21.1b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	32.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
✓	38.4b	(.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))))
	38.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (.f64 y.im (log.f64 x.re)) (sin.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 x.re)) 2))))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 (log.f64 x.re) 2) (pow.f64 y.im 2)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 y.im (log.f64 x.re)))))))
	58.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	52.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	57.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (.f64 (pow.f64 x.re 2) 1/2)) (neg.f64 (log.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	57.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) 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)))
	56.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) 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)))
	42.0b	(.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.re))))
	34.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	22.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	41.6b	(*.f64 1 1)

Compiler

Compiled 531 to 339 computations (36.2% saved)

regimes399.0ms (0.9%)

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

133.0ms	y.im
95.0ms	x.re
74.0ms	y.re
64.0ms	x.im
9.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
6.5b	6	`x.re`
6.7b	4	`x.im`
6.2b	3	`y.re`
15.0b	7	`y.im`
12.6b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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 1075 to 336 computations (68.7% saved)

bsearch128.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	7.11283929783772	3969657868.576778
44.0ms	-5.357891989767938e-9	-4.907585796835999e-19

Results

60.0ms	294×	body	256	valid
34.0ms	159×	body	256	infinite
15.0ms	25×	body	1024	infinite
5.0ms	14×	body	512	infinite
4.0ms	6×	body	1024	valid
3.0ms	3×	body	2048	infinite
2.0ms	4×	body	512	valid

Compiler

Compiled 812 to 567 computations (30.2% saved)

regimes362.0ms (0.8%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

160.0ms	x.re
77.0ms	x.im
76.0ms	y.im
41.0ms	y.re

Results

Error	Segments	Branch
7.0b	6	`x.re`
6.8b	4	`x.im`
6.2b	3	`y.re`
15.2b	7	`y.im`

Compiler

Compiled 405 to 155 computations (61.7% saved)

bsearch8.0s (18.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.8s	7.11283929783772	3969657868.576778
105.0ms	-5.357891989767938e-9	-4.907585796835999e-19

Results

7.8s	146×	body	256	infinite
125.0ms	297×	body	256	valid
42.0ms	1×	body	2048	infinite
15.0ms	24×	body	1024	infinite
4.0ms	10×	body	512	infinite
2.0ms	3×	body	1024	valid
2.0ms	4×	body	512	valid

Compiler

Compiled 772 to 567 computations (26.6% saved)

regimes6.6s (15.6%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.5s	y.im
84.0ms	x.re
73.0ms	x.im
19.0ms	y.re

Results

Error	Segments	Branch
7.4b	6	`x.re`
7.3b	4	`x.im`
6.7b	3	`y.re`
15.2b	7	`y.im`

Compiler

Compiled 138 to 80 computations (42% saved)

bsearch188.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	7.11283929783772	3969657868.576778
107.0ms	-5.357891989767938e-9	-4.907585796835999e-19

Results

124.0ms	296×	body	256	valid
34.0ms	161×	body	256	infinite
16.0ms	27×	body	1024	infinite
4.0ms	11×	body	512	infinite
2.0ms	3×	body	1024	valid
2.0ms	4×	body	512	valid
1.0ms	1×	body	2048	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 808 to 576 computations (28.7% saved)

regimes215.0ms (0.5%)

Counts

9 → 2

Calls

Call 1

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

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:

126.0ms	y.im
63.0ms	y.re
13.0ms	x.re
11.0ms	x.im

Results

Error	Segments	Branch
11.1b	2	`x.re`
8.8b	2	`x.im`
15.0b	3	`y.re`
17.4b	10	`y.im`

Compiler

Compiled 117 to 69 computations (41% saved)

bsearch94.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
93.0ms	-1.6177018881495683e-306	3.37259548765975e-307

Results

59.0ms	14×	body	1024	infinite
23.0ms	117×	body	256	valid
5.0ms	8×	body	1024	valid
2.0ms	6×	body	512	infinite
1.0ms	6×	body	256	infinite
1.0ms	3×	body	512	valid

Compiler

Compiled 344 to 241 computations (29.9% saved)

regimes162.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

Calls

4 calls:

118.0ms	y.im
18.0ms	x.im
14.0ms	y.re
10.0ms	x.re

Results

Error	Segments	Branch
17.6b	2	`x.re`
14.2b	3	`x.im`
15.0b	3	`y.re`
17.6b	10	`y.im`

Compiler

Compiled 89 to 56 computations (37.1% saved)

bsearch209.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	-3.998916296724781e-302	-1.6177018881495683e-306
163.0ms	-6.037780504143351e-203	-2.8414548303977506e-213

Results

114.0ms	265×	body	256	valid
47.0ms	20×	body	256	infinite
23.0ms	39×	body	1024	infinite
11.0ms	17×	body	1024	valid
6.0ms	13×	body	512	infinite
3.0ms	5×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 530 to 401 computations (24.3% saved)

regimes124.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

85.0ms	y.im
15.0ms	x.im
12.0ms	y.re
8.0ms	x.re

Results

Error	Segments	Branch
18.3b	2	`x.re`
21.2b	3	`x.im`
15.0b	3	`y.re`
17.6b	10	`y.im`

Compiler

Compiled 63 to 44 computations (30.2% saved)

bsearch281.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
169.0ms	1.2792188991865116e+87	3.10770365169384e+94
113.0ms	-6.392225747640672e+101	-4.02443477071826e+94

Results

123.0ms	288×	body	256	valid
81.0ms	205×	body	512	infinite
58.0ms	22×	body	1024	infinite
12.0ms	61×	body	256	infinite
3.0ms	3×	body	2048	infinite

Compiler

Compiled 498 to 385 computations (22.7% saved)

regimes84.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	y.im
12.0ms	x.re
9.0ms	y.re
3.0ms	x.im

Results

Error	Segments	Branch
30.6b	4	`x.re`
35.0b	1	`x.im`
25.8b	3	`y.re`
31.8b	5	`y.im`

Compiler

Compiled 42 to 33 computations (21.4% saved)

bsearch90.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.05157314668832263	7.11283929783772
49.0ms	-5.357891989767938e-9	-4.907585796835999e-19

Results

62.0ms	256×	body	256	valid
8.0ms	12×	body	1024	valid
6.0ms	8×	body	1024	infinite
5.0ms	23×	body	256	infinite
3.0ms	2×	body	512	valid
2.0ms	2×	body	2048	valid
1.0ms	3×	body	512	infinite

Compiler

Compiled 473 to 365 computations (22.8% saved)

regimes40.0ms (0.1%)

Accuracy

Total -25.2b remaining (-97.6%)

Threshold costs -25.2b (-97.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	y.im
11.0ms	x.re
9.0ms	y.re
3.0ms	x.im

Results

Error	Segments	Branch
30.6b	4	`x.re`
35.0b	1	`x.im`
25.8b	3	`y.re`
31.8b	5	`y.im`

Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch89.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.05157314668832263	7.11283929783772
47.0ms	-5.357891989767938e-9	-4.907585796835999e-19

Results

55.0ms	254×	body	256	valid
10.0ms	47×	body	256	infinite
10.0ms	14×	body	1024	valid
5.0ms	9×	body	1024	infinite
3.0ms	5×	body	512	infinite
1.0ms	3×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 371 to 314 computations (15.4% saved)

simplify20.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	905

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -5415987671873539/38685626227668133590597632) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1000000) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -2853064934290525/4835703278458516698824704) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 1850) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -8583373319263867/2417851639229258349412352) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 68000) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 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.im -8641946412220743/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (if (<=.f64 x.im -2609091546539551/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 6500000000000000064842263015056843057191309720897778301765308382608701709799957206281486336) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -3022314549036573/604462909807314587353088) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 5/4) (.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -785801782749509/151115727451828646838272) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 3039929748475085/2251799813685248) (.f64 1 1) (*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(*.f64 1 1)

Outputs
(if (<=.f64 y.re -5415987671873539/38685626227668133590597632) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 1000000) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -2853064934290525/4835703278458516698824704) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 1850) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -8583373319263867/2417851639229258349412352) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 68000) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 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.im -8641946412220743/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (if (<=.f64 x.im -2609091546539551/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 6500000000000000064842263015056843057191309720897778301765308382608701709799957206281486336) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -3022314549036573/604462909807314587353088) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 5/4) (.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -785801782749509/151115727451828646838272) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 3039929748475085/2251799813685248) (.f64 1 1) (*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -785801782749509/151115727451828646838272) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 3039929748475085/2251799813685248) 1 (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(*.f64 1 1)
1

Compiler

Compiled 356 to 225 computations (36.8% saved)

soundness111.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational.json-simplify-51`
1062×	`rational.json-simplify-1`
938×	`rational.json-simplify-2`
904×	`rational.json-simplify-54`
886×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	10355
1	896	10047
2	1778	9701
3	3440	9075
4	5510	9075

Stop Event

1×	node limit

Compiler

Compiled 52 to 31 computations (40.4% saved)

end108.0ms (0.3%)

Compiler: Compiled 324 to 153 computations (52.8% saved)