Details

analyze444.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample12.0s (43%)

Results

7.9s	7903×	body	256	valid
2.9s	2456×	body	1024	infinite
596.0ms	1042×	body	512	infinite
246.0ms	1024×	body	256	infinite
153.0ms	143×	body	512	valid
119.0ms	188×	body	1024	valid
67.0ms	22×	body	2048	valid
46.0ms	49×	body	2048	infinite

Bogosity

preprocess74.0ms (0.3%)

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)

simplify121.0ms (0.4%)

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

31.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (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

▶

31.4b

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	33.7b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series90.0ms (0.3%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
69.0ms	y.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)))
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	@	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	@	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)))

rewrite373.0ms (1.3%)

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)))))

simplify1.3s (4.5%)

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))

eval419.0ms (1.5%)

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

prune549.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	303	3	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	304	3	307

Error

17.4b

Counts

307 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.1b	(.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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	17.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	50.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

40.1b

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

▶

17.7b

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

▶

50.8b

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

Compiler

Compiled 98 to 58 computations (40.8% saved)

localize85.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	33.7b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	19.3b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.5b	(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.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)))
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)))

rewrite161.0ms (0.6%)

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))))))))

simplify254.0ms (0.9%)

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))

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.3b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series127.0ms (0.5%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
74.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
26.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
15.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite286.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational.json-simplify-35`
1002×	`rational.json-1`
1002×	`rational.json-2`
1002×	`rational.json-3`
976×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	95	37
2	205	37
3	444	37
4	913	37
5	2164	33
6	4507	33

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 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)))))

simplify296.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1842×	`rational.json-simplify-35`
1712×	`rational.json-simplify-2`
1238×	`rational.json-simplify-51`
1058×	`rational.json-simplify-1`
1046×	`rational.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	3120
1	268	3080
2	618	3040
3	1335	3040
4	2092	3016
5	3775	3016
6	4533	3016
7	5202	3016
8	6519	3016
9	7298	3016
10	7811	3016

Stop Event

1×	node limit

Counts

70 → 71

Calls

Call 1

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

eval625.0ms (2.2%)

Compiler: Compiled 27447 to 10627 computations (61.3% saved)

prune391.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	543	9	552
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	546	9	555

Error

3.4b

Counts

555 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	40.1b	(.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 y.im (log.f64 (neg.f64 x.im)))))
▶	17.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	33.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	34.6b	(.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))))
▶	52.0b	(.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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.4b	(.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))))
▶	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	37.6b	(.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 450 to 274 computations (39.1% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series40.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
34.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.im	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite725.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`rational.json-simplify-35`
1014×	`rational.json-1`
1014×	`rational.json-2`
1014×	`rational.json-3`
1000×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	106	84
2	234	84
3	622	84
4	2385	84
5	7656	84

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify1.1s (3.8%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational.json-simplify-35`
884×	`rational.json-simplify-1`
866×	`rational.json-simplify-61`
850×	`rational.json-simplify-41`
760×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	7385
1	519	7061
2	972	6957
3	1965	6729
4	4580	6729
5	7945	6729

Stop Event

1×	node limit

Counts

119 → 264

Calls

Call 1

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

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

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	19.3b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series31.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
9.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
6.0ms	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)

rewrite95.0ms (0.3%)

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))))))))

simplify669.0ms (2.4%)

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))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
	1.1b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	19.3b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series13.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
0.0ms	x.im	@	0	(*.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	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)

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

simplify84.0ms (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))

localize80.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.im)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.5b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 98 to 16 computations (83.7% saved)

series487.0ms (1.7%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
473.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	y.im	@	0	(*.f64 (log.f64 x.im) y.im)
1.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite92.0ms (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	44
1	85	44
2	178	44
3	390	44
4	773	44
5	1815	44
6	3693	44
7	6258	44

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-35`
1096×	`rational.json-simplify-38`
1088×	`rational.json-simplify-41`
1030×	`exponential.json-simplify-26`
814×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	3282
1	323	3238
2	752	3208
3	1714	3186
4	3224	3186
5	5217	3186
6	6543	3186

Stop Event

1×	node limit

Counts

92 → 92

Calls

Call 1

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

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.re)
	1.1b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.3b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 105 to 17 computations (83.8% saved)

series40.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y.re	@	0	(*.f64 (log.f64 x.re) y.re)
9.0ms	x.re	@	inf	(*.f64 (log.f64 x.re) y.re)
7.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.re)
6.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.re) y.re)

rewrite380.0ms (1.4%)

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.re)

Outputs

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

simplify86.0ms (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.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(+.f64 (*.f64 (log.f64 x.re) y.re) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.re))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 x.re))) (.f64 y.re (log.f64 (sqrt.f64 x.re))))
(-.f64 (*.f64 (log.f64 x.re) y.re) 0)
(/.f64 (*.f64 (log.f64 x.re) y.re) 1)
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 4)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.re 8)) 8)
(/.f64 (.f64 2 (.f64 (log.f64 x.re) (*.f64 y.re 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.re 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (*.f64 y.re 8))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.re 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (log.f64 x.re) (.f64 y.re 8)))))) 128)
(pow.f64 (*.f64 (log.f64 x.re) y.re) 1)
(log.f64 (pow.f64 x.re y.re))
(log.f64 (pow.f64 (sqrt.f64 x.re) (+.f64 y.re y.re)))
(log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 x.re) (*.f64 y.re 4))))

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

eval264.0ms (0.9%)

Compiler: Compiled 24582 to 10221 computations (58.4% saved)

prune349.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	789	9	798
Fresh	1	3	4
Picked	1	0	1
Done	3	1	4
Total	794	13	807

Error

3.4b

Counts

807 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.8b	(.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)
	19.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re)) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.1b	(.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 y.im (log.f64 (neg.f64 x.im)))))
	33.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	33.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	34.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	34.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	39.4b	(.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))))
	52.0b	(.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 (neg.f64 x.im)))))
▶	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
▶	39.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	21.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 533 to 356 computations (33.2% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.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))))
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.6b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 119 to 28 computations (76.5% saved)

series57.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
47.0ms	y.re	@	0	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
2.0ms	y.im	@	0	(-.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.re	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.re	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.im	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite145.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`rational.json-simplify-35`
1030×	`rational.json-1`
1030×	`rational.json-2`
1030×	`rational.json-3`
1018×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	105
1	115	105
2	257	105
3	662	103
4	2503	103
5	7860	103

Stop Event

1×	node limit

Counts

3 → 51

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))))

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

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

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

simplify151.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1532×	`rational.json-simplify-35`
962×	`rational.json-simplify-2`
846×	`rational.json-simplify-54`
838×	`rational.json-simplify-61`
770×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	284	8761
1	670	8669
2	1286	8493
3	2608	8343
4	4564	8337

Stop Event

1×	node limit

Counts

159 → 366

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite168.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`exponential.json-3`
1408×	`rational.json-1`
1408×	`rational.json-2`
1408×	`rational.json-4`
1408×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	61	17
2	140	17
3	300	17
4	588	17
5	1390	17
6	2963	17
7	5059	17
8	6423	17
9	7552	17
10	7818	17

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

simplify226.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1678×	`rational.json-simplify-35`
1338×	`exponential.json-simplify-26`
1330×	`rational.json-simplify-52`
1032×	`rational.json-simplify-53`
954×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1088
1	189	1088
2	346	1088
3	894	1088
4	2678	1088
5	3737	1088
6	4643	1088
7	5978	1088
8	7031	1088
9	7806	1088
10	7817	1088

Stop Event

1×	node limit

Counts

64 → 30

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 (log.f64 x.re) y.re)
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 57 to 13 computations (77.2% saved)

series64.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
56.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
6.0ms	x.im	@	0	(-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	-inf	(-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	inf	(-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	0	(-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`rational.json-1`
1690×	`rational.json-2`
1690×	`rational.json-3`
1640×	`rational.json-4`
916×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	76	29
2	156	29
3	335	29
4	627	29
5	1458	29
6	3389	29
7	6659	29

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify280.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2144×	`rational.json-simplify-35`
1484×	`rational.json-simplify-52`
1254×	`rational.json-simplify-2`
1200×	`rational.json-simplify-1`
600×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	2698
1	252	2682
2	529	2682
3	1337	2682
4	2635	2682
5	3532	2682
6	4499	2682
7	5013	2682
8	5748	2682
9	7213	2682
10	7747	2682
11	7933	2682
12	7933	2682

Stop Event

1×	node limit

Counts

90 → 59

Calls

Call 1

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

localize56.0ms (0.2%)

Local error

Found 3 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))
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 64 to 14 computations (78.1% saved)

series49.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
10.0ms	x.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
7.0ms	x.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
7.0ms	x.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`rational.json-1`
1754×	`rational.json-2`
1128×	`rational.json-simplify-35`
892×	`rational.json-3`
866×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	86	48
2	184	48
3	401	48
4	791	48
5	1848	40
6	3913	40
7	7341	40

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify140.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1558×	`rational.json-simplify-35`
1132×	`rational.json-simplify-2`
974×	`rational.json-simplify-1`
732×	`exponential.json-simplify-32`
708×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	3724
1	324	3528
2	741	3528
3	1905	3528
4	3436	3528
5	4651	3528
6	6312	3528

Stop Event

1×	node limit

Counts

128 → 85

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (log.f64 x.re) y.re)
✓	0.1b	(*.f64 y.im (log.f64 x.im))
	2.6b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	11.6b	(cos.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 71 to 14 computations (80.3% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2156×	`rational.json-1`
1006×	`rational.json-simplify-35`
1000×	`rational.json-2`
1000×	`rational.json-3`
956×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	53	26
2	126	26
3	286	26
4	606	26
5	1548	26
6	3627	26
7	7899	26

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-35`
1054×	`rational.json-simplify-2`
878×	`rational.json-simplify-51`
780×	`exponential.json-simplify-26`
716×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1604
1	369	1560
2	904	1544
3	2428	1532
4	5487	1532

Stop Event

1×	node limit

Counts

94 → 89

Calls

Call 1

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

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

eval258.0ms (0.9%)

Compiler: Compiled 19093 to 10511 computations (44.9% saved)

prune179.0ms (0.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	718	7	725
Fresh	1	6	7
Picked	0	1	1
Done	1	4	5
Total	720	18	738

Error

3.4b

Counts

738 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	22.9b	(.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)
✓	17.8b	(.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)
	19.3b	(.f64 (exp.f64 (-.f64 (/.f64 (log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.re)) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.1b	(.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 y.im (log.f64 (neg.f64 x.im)))))
	33.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
✓	33.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	34.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	34.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	39.4b	(.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))))
	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.im))) (*.f64 y.im (log.f64 (sqrt.f64 x.im))))))
	52.0b	(.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 (neg.f64 x.im)))))
✓	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	37.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	21.9b	(.f64 (exp.f64 (-.f64 1 (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)))) 1)
	39.2b	(.f64 (exp.f64 (+.f64 (-.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)) (+.f64 (*.f64 (log.f64 x.re) y.re) -1))) 1)
	21.9b	(.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 1)
✓	21.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	44.6b	(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)

Compiler

Compiled 376 to 258 computations (31.4% saved)

regimes595.0ms (2.1%)

Counts

29 → 3

Calls

Call 1

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

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

224.0ms	x.im
145.0ms	x.re
123.0ms	y.im
36.0ms	y.re
6.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
7.1b	6	`x.re`
7.2b	4	`x.im`
4.7b	3	`y.re`
12.9b	6	`y.im`
11.9b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 629 to 181 computations (71.2% saved)

bsearch101.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	5.201809213569012e-8	0.0005831335077883974
23.0ms	-5.785734118533396e-14	-2.4164274404036944e-14

Results

46.0ms	9×	body	256	infinite
40.0ms	196×	body	256	valid
4.0ms	7×	body	1024	valid
3.0ms	5×	body	1024	infinite
2.0ms	6×	body	512	infinite
2.0ms	5×	body	512	valid

Compiler

Compiled 621 to 459 computations (26.1% saved)

regimes527.0ms (1.9%)

Counts

24 → 3

Calls

Call 1

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

193.0ms	x.re
147.0ms	y.re
139.0ms	y.im
39.0ms	x.im

Results

Error	Segments	Branch
7.1b	6	`x.re`
7.2b	4	`x.im`
4.7b	3	`y.re`
11.9b	8	`y.im`

Compiler

Compiled 441 to 149 computations (66.2% saved)

bsearch65.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	5.201809213569012e-8	0.0005831335077883974
24.0ms	-5.785734118533396e-14	-2.4164274404036944e-14

Results

43.0ms	188×	body	256	valid
6.0ms	10×	body	1024	valid
6.0ms	6×	body	2048	valid
2.0ms	4×	body	512	valid
1.0ms	3×	body	512	infinite
1.0ms	1×	body	1024	infinite
0.0ms	2×	body	256	infinite

Compiler

Compiled 601 to 459 computations (23.6% saved)

regimes125.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

44.0ms	y.im
39.0ms	x.re
22.0ms	x.im
16.0ms	y.re

Results

Error	Segments	Branch
7.1b	6	`x.re`
7.2b	4	`x.im`
4.7b	3	`y.re`
11.9b	8	`y.im`

Compiler

Compiled 158 to 92 computations (41.8% saved)

bsearch117.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
94.0ms	118154502.49253151	3.087019184087138e+19
22.0ms	-5.785734118533396e-14	-2.4164274404036944e-14

Results

52.0ms	235×	body	256	valid
35.0ms	168×	body	256	infinite
11.0ms	18×	body	1024	infinite
5.0ms	14×	body	512	infinite
1.0ms	2×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 723 to 535 computations (26% saved)

regimes82.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

34.0ms	y.im
24.0ms	y.re
10.0ms	x.im
10.0ms	x.re

Results

Error	Segments	Branch
9.1b	2	`x.re`
8.2b	2	`x.im`
15.3b	5	`y.re`
18.3b	7	`y.im`

Compiler

Compiled 137 to 81 computations (40.9% saved)

bsearch58.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	-4.0525236769758505e-293	-2.1864290271345138e-302

Results

26.0ms	128×	body	256	valid
13.0ms	21×	body	1024	infinite
6.0ms	16×	body	512	infinite
6.0ms	10×	body	1024	valid
2.0ms	5×	body	512	valid
1.0ms	1×	body	2048	valid
1.0ms	4×	body	256	infinite

Compiler

Compiled 381 to 268 computations (29.7% saved)

regimes44.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	y.re
12.0ms	y.im
9.0ms	x.re
8.0ms	x.im

Results

Error	Segments	Branch
15.4b	2	`x.re`
15.4b	2	`x.im`
17.0b	3	`y.re`
20.7b	3	`y.im`

Compiler

Compiled 92 to 59 computations (35.9% saved)

bsearch43.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	8.999195715285974e-272	5.7397753792287875e-266

Results

30.0ms	144×	body	256	valid
8.0ms	13×	body	1024	infinite
2.0ms	6×	body	512	infinite
0.0ms	2×	body	256	infinite

Compiler

Compiled 381 to 286 computations (24.9% saved)

regimes45.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	y.re
11.0ms	y.im
11.0ms	x.re
8.0ms	x.im

Results

Error	Segments	Branch
19.8b	2	`x.re`
15.4b	2	`x.im`
17.0b	3	`y.re`
20.7b	3	`y.im`

Compiler

Compiled 79 to 54 computations (31.6% saved)

bsearch62.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
62.0ms	-2.1864290271345138e-302	1.6018127588160922e-301

Results

27.0ms	135×	body	256	valid
10.0ms	17×	body	1024	infinite
7.0ms	12×	body	1024	valid
6.0ms	13×	body	512	valid
5.0ms	14×	body	512	infinite
3.0ms	13×	body	256	infinite

Compiler

Compiled 418 to 315 computations (24.6% saved)

regimes43.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y.im
10.0ms	x.im
10.0ms	y.re
10.0ms	x.re

Results

Error	Segments	Branch
19.8b	2	`x.re`
20.9b	3	`x.im`
18.6b	3	`y.re`
20.7b	3	`y.im`

Compiler

Compiled 66 to 48 computations (27.3% saved)

bsearch334.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	9.869440500831481e+40	1.1318268709200232e+43
253.0ms	-1.0634998568616132e+75	-2.8952744641044544e+72

Results

180.0ms	240×	body	256	valid
133.0ms	134×	body	256	infinite
12.0ms	20×	body	1024	infinite
4.0ms	11×	body	512	infinite

Compiler

Compiled 513 to 415 computations (19.1% saved)

regimes94.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	x.im
17.0ms	y.im
9.0ms	x.re
9.0ms	y.re

Results

Error	Segments	Branch
19.8b	2	`x.re`
20.9b	3	`x.im`
18.6b	3	`y.re`
20.7b	3	`y.im`

Compiler

Compiled 52 to 39 computations (25% saved)

bsearch104.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	9.869440500831481e+40	1.1318268709200232e+43
43.0ms	-1.0634998568616132e+75	-2.8952744641044544e+72

Results

52.0ms	240×	body	256	valid
31.0ms	133×	body	256	infinite
13.0ms	22×	body	1024	infinite
3.0ms	9×	body	512	infinite

Compiler

Compiled 483 to 385 computations (20.3% saved)

regimes35.0ms (0.1%)

Accuracy

Total -32.9b remaining (-177.3%)

Threshold costs -32.9b (-177.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y.re
9.0ms	x.re
9.0ms	y.im
8.0ms	x.im

Results

Error	Segments	Branch
19.8b	2	`x.re`
20.9b	3	`x.im`
18.6b	3	`y.re`
20.7b	3	`y.im`

Compiler

Compiled 40 to 31 computations (22.5% saved)

bsearch159.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
118.0ms	9.869440500831481e+40	1.1318268709200232e+43
41.0ms	-1.0634998568616132e+75	-2.8952744641044544e+72

Results

69.0ms	19×	body	1024	infinite
52.0ms	240×	body	256	valid
30.0ms	140×	body	256	infinite
4.0ms	11×	body	512	infinite

Compiler

Compiled 438 to 340 computations (22.4% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1118

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -4516005263313067/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 2582544170319337/4611686018427387904) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 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 -4436777100798803/79228162514264337593543950336) (.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 5902958103587057/18446744073709551616) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 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 -4516005263313067/79228162514264337593543950336) (.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 86000000000) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 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 -8493136544725101/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 856521739283203/9516908214257811601907599988159363584840065290620124537956939899622020205826587990689077212775400643774711832257235027522909345571487396529861315719055325605011013378863743193233193022939505515969530853007049198118833591724018432564205433218231411731277088674906521042072098232413978624) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 y.re -660000000000000035880502900074580755468819969942685438009003810651662974976) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1) (if (<=.f64 y.re 11000000000000000029515324726817481553870848) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)))
(if (<=.f64 y.re -229999999999999985112822225914413596834477354922330867223162418777974374400) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1) (if (<=.f64 y.re 4799999999999999720275405140612290610987008) (.f64 (exp.f64 (-.f64 1 (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)))
(if (<=.f64 y.re -91999999999999994045128890365765438733790941968932346889264967511189749760) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1) (if (<=.f64 y.re 6000000000000000578799285889800569438076928) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)

Outputs
(if (<=.f64 y.re -4516005263313067/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 2582544170319337/4611686018427387904) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 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 -4436777100798803/79228162514264337593543950336) (.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 5902958103587057/18446744073709551616) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 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 -4516005263313067/79228162514264337593543950336) (.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 86000000000) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 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 -8493136544725101/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 856521739283203/9516908214257811601907599988159363584840065290620124537956939899622020205826587990689077212775400643774711832257235027522909345571487396529861315719055325605011013378863743193233193022939505515969530853007049198118833591724018432564205433218231411731277088674906521042072098232413978624) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 y.re -660000000000000035880502900074580755468819969942685438009003810651662974976) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1) (if (<=.f64 y.re 11000000000000000029515324726817481553870848) (.f64 (exp.f64 (+.f64 -2 (-.f64 1 (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) -1)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)))
(if (<=.f64 y.re -229999999999999985112822225914413596834477354922330867223162418777974374400) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1) (if (<=.f64 y.re 4799999999999999720275405140612290610987008) (.f64 (exp.f64 (-.f64 1 (+.f64 1 (.f64 (atan2.f64 x.im x.re) y.im)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)))
(if (<=.f64 y.re -91999999999999994045128890365765438733790941968932346889264967511189749760) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1) (if (<=.f64 y.re 6000000000000000578799285889800569438076928) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.re))) 1)

Compiler

Compiled 429 to 278 computations (35.2% saved)

soundness197.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational.json-simplify-35`
884×	`rational.json-simplify-1`
866×	`rational.json-simplify-61`
850×	`rational.json-simplify-41`
760×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	7385
1	519	7061
2	972	6957
3	1965	6729
4	4580	6729
5	7945	6729

Stop Event

1×	node limit

Compiler

Compiled 43 to 28 computations (34.9% saved)

end312.0ms (1.1%)

Compiler: Compiled 393 to 205 computations (47.8% saved)