Details

analyze457.0ms (0.7%)

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)

sample13.9s (21.7%)

Results

7.1s	7903×	body	256	valid
2.6s	2590×	body	1024	infinite
2.0s	891×	body	512	infinite
1.6s	177×	body	2048	infinite
254.0ms	914×	body	256	infinite
244.0ms	197×	body	1024	valid
58.0ms	143×	body	512	valid
13.0ms	13×	body	2048	valid

Bogosity

preprocess109.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1596×	`rational.json-simplify-51`
1298×	`rational.json-simplify-46`
1208×	`rational.json-simplify-49`
926×	`rational.json-simplify-1`
848×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	159	805
2	194	805
3	298	805
4	994	805
5	4685	805
6	7598	805
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify117.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational.json-simplify-2`
924×	`rational.json-simplify-44`
828×	`rational.json-simplify-39`
826×	`rational.json-simplify-47`
720×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	35	115
2	46	115
3	88	115
4	403	115
5	4011	115
6	6309	115
7	7524	115

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (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

▶

35.6b

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
✓	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series23.0ms (0%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite134.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`bool.json-1`
1388×	`bool.json-2`
1374×	`rational.json-1`
1374×	`rational.json-2`
1374×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	178	104
2	453	104
3	1052	104
4	3552	104

Stop Event

1×	node limit

Counts

4 → 44

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (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 (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 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 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 (/.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 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4) (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.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 (.f64 y.im (atan2.f64 x.im x.re)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) 4) (.f64 (.f64 y.im (atan2.f64 x.im x.re)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.im (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 y.im (atan2.f64 x.im x.re)) (.f64 y.im (atan2.f64 x.im x.re)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 (.f64 (atan2.f64 x.im x.re) y.re) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.re) 4) (.f64 (.f64 (atan2.f64 x.im x.re) y.re) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.re))))))

simplify370.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-35`
1094×	`rational.json-simplify-51`
1044×	`rational.json-simplify-2`
902×	`rational.json-simplify-54`
810×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	406	10732
1	1006	10540
2	2080	10516
3	4146	10104
4	5976	10104

Stop Event

1×	node limit

Counts

164 → 232

Calls

Call 1

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

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

eval773.0ms (1.2%)

Compiler: Compiled 20012 to 8108 computations (59.5% saved)

prune72.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	288	9	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	289	9	298

Error

22.0b

Counts

298 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	46.8b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	42.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	44.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	30.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
▶	52.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	50.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 642 to 374 computations (41.7% saved)

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	31.5b	(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
1.0ms	x.re	@	-inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	0	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.re	@	inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	-inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

rewrite490.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`bool.json-1`
1474×	`bool.json-2`
1436×	`rational.json-1`
1436×	`rational.json-2`
1436×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	91	30
2	262	30
3	550	30
4	1148	30
5	2564	30
6	5608	30

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y.re (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) 1) (-.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) (-.f64 (PI.f64) (+.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1) (-.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1) (-.f64 (-.f64 -1 (PI.f64)) (.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) -2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) -2) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 -1 (PI.f64))) (+.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 1 (PI.f64)))))) (#(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 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (PI.f64) 2) (PI.f64)) (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) -2)) (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8)) (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)) (*.f64 2 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 2) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 1/2)) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) 1) (-.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -1) (-.f64 (PI.f64) (+.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1) (-.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) -1) (-.f64 (-.f64 -1 (PI.f64)) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) -2) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) -2) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 -1 (PI.f64))) (+.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (*.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 1 (PI.f64)))))) (#(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 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 2) (-.f64 (*.f64 (PI.f64) 2) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (PI.f64) -2)) (*.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (PI.f64) 2) (PI.f64)) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) -2)) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)) (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))))

simplify198.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1760×	`rational.json-simplify-35`
1426×	`rational.json-simplify-1`
970×	`rational.json-simplify-2`
854×	`rational.json-simplify-52`
730×	`rational.json-simplify-41`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	163	1368
1	343	1368
2	811	1368
3	3243	1368
4	5159	1360
5	5942	1352
6	6888	1352
7	7328	1352
8	7763	1352

Stop Event

1×	node limit

Counts

74 → 92

Calls

Call 1

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

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

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.8b	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series69.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
17.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
12.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite269.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`bool.json-1`
1920×	`bool.json-2`
1078×	`rational.json-1`
1078×	`rational.json-2`
1078×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	129	33
2	340	33
3	706	33
4	1522	33
5	3538	33
6	7239	33

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.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 (sin.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 -1 (-.f64 1 (neg.f64 (sin.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 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (sin.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 1 (neg.f64 (sin.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 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 -1 (neg.f64 (sin.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 (sin.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 (neg.f64 (sin.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 1/4 (*.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.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 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (sin.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 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.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 not (not (sin.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 and (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.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 or (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

simplify267.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2536×	`rational.json-simplify-1`
1818×	`rational.json-simplify-35`
1052×	`rational.json-simplify-41`
974×	`rational.json-simplify-2`
876×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	3072
1	260	3056
2	577	3056
3	1304	3014
4	2654	3014
5	4200	3014
6	5525	3014
7	6323	3014
8	6831	3014
9	7154	3014
10	7650	3014

Stop Event

1×	node limit

Counts

76 → 65

Calls

Call 1

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

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

localize90.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.2b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

localize112.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.5b	(/.f64 (pow.f64 x.re 2) x.im)
✓	9.0b	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
✓	15.5b	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 220 to 78 computations (64.5% saved)

series79.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
49.0ms	y.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
15.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite1.4s (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`rational.json-simplify-35`
838×	`bool.json-1`
838×	`bool.json-2`
814×	`rational.json-1`
814×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	188	99
2	479	99
3	1027	99
4	2495	99
5	6818	99

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) (/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x.re 2) x.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x.re 2) x.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 x.re 2) (/.f64 2 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.re 2) (/.f64 1 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.re 2) (*.f64 2 (*.f64 1/2 (/.f64 1 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.re 2) (*.f64 (*.f64 2 (/.f64 1 x.im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.re 2) (*.f64 (/.f64 2 x.im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.re 2) (*.f64 (*.f64 2 (*.f64 1/2 (/.f64 1 x.im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.re 2) (+.f64 (/.f64 1/2 x.im) (*.f64 1/2 (/.f64 1 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x.re 2) (+.f64 (*.f64 1/2 (/.f64 1 x.im)) (/.f64 1/2 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x.re 2) x.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x.re 2) x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x.re 2)) (*.f64 1/2 (/.f64 1 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x.re 2)) (/.f64 1/2 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x.re 2)) (*.f64 (*.f64 1/2 (/.f64 1/2 x.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x.re 2) (/.f64 2 x.im)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x.re 2) 4) (*.f64 1/2 (/.f64 1/2 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x.re 2) 4) (/.f64 1/2 (+.f64 x.im x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x.re 2) 4) (*.f64 (/.f64 1/2 (+.f64 x.im x.im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x.re 2) 4) (*.f64 1/4 (/.f64 1 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x.im) (pow.f64 x.re 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x.im) (*.f64 (*.f64 1/2 (pow.f64 x.re 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x.re 2)) (/.f64 -1 x.im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x.re 2)) (*.f64 (/.f64 -1 x.im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 x.im)) (*.f64 2 (pow.f64 x.re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x.im) (*.f64 2 (pow.f64 x.re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x.im)) (*.f64 1/2 (pow.f64 x.re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 1/2 (/.f64 1 x.im))) (pow.f64 x.re 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 x.im x.im)) (*.f64 (pow.f64 x.re 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x.im) (neg.f64 (pow.f64 x.re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x.re 2) (neg.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 x.re 2) x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (pow.f64 x.re 2) x.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 x.re 2) x.im) (/.f64 (pow.f64 x.re 2) x.im))))))

simplify911.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-35`
1238×	`rational.json-simplify-2`
1168×	`rational.json-simplify-51`
928×	`rational.json-simplify-41`
798×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	466	12766
1	1167	12616
2	2354	12568
3	4423	12252
4	6288	12252
5	7546	12252

Stop Event

1×	node limit

Counts

154 → 297

Calls

Call 1

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

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

eval4.3s (6.7%)

Compiler: Compiled 67721 to 29675 computations (56.2% saved)

prune953.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1125	14	1139
Fresh	1	3	4
Picked	1	0	1
Done	4	0	4
Total	1131	17	1148

Error

5.8b

Counts

1148 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1)))
	54.8b	(.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))) (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	46.8b	(.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))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
▶	43.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	54.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	53.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	43.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	43.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	56.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))

Compiler

Compiled 1038 to 618 computations (40.5% saved)

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 121 to 16 computations (86.8% saved)

series351.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
348.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.im	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	y.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`rational.json-simplify-35`
1160×	`bool.json-1`
1160×	`bool.json-2`
1146×	`rational.json-1`
1146×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	117	33
2	306	33
3	746	33
4	2831	33

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (sqrt.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 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 4)) (*.f64 2 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.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 and (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.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 or (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))))))

simplify125.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1056×	`rational.json-simplify-35`
1048×	`rational.json-simplify-41`
872×	`rational.json-simplify-61`
764×	`rational.json-simplify-54`
746×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2508
1	303	2404
2	566	2380
3	1093	2260
4	2778	2260
5	6360	2260
6	7383	2260

Stop Event

1×	node limit

Counts

44 → 121

Calls

Call 1

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

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

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series85.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
84.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	inf	(*.f64 (log.f64 x.im) y.re)

rewrite186.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`bool.json-1`
1622×	`bool.json-2`
1588×	`rational.json-1`
1588×	`rational.json-2`
1140×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	69	11
2	194	11
3	403	11
4	809	11
5	1739	11
6	3713	11
7	6672	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) (*.f64 y.re 1/2)) (*.f64 (log.f64 x.im) (*.f64 y.re 1/2)))))) (#(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 not (not (*.f64 (log.f64 x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 x.im) y.re) (*.f64 (log.f64 x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.im) y.re) (*.f64 (log.f64 x.im) y.re))))))

simplify1.0s (1.6%)

Algorithm

1×	egg-herbie

Rules

8286×	`rational.json-simplify-41`
4050×	`rational.json-simplify-35`
2880×	`rational.json-simplify-2`
1810×	`rational.json-simplify-53`
760×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	521
1	111	505
2	215	505
3	452	505
4	1365	505
5	2662	505
6	3653	505
7	3832	505
8	3963	505
9	4091	505
10	4216	505
11	4341	505
12	4896	505
13	5039	505
14	5097	505
15	5097	505
16	5222	505
17	5347	505
18	5472	505
19	5597	505
20	5722	505
21	5990	505
22	6316	505
23	6494	505
24	6644	505
25	6773	505
26	6898	505
27	6898	505
28	7194	505
29	7194	505

Stop Event

1×	node limit

Counts

35 → 18

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(*.f64 y.re (log.f64 x.im))
(+.f64 (*.f64 (log.f64 x.im) y.re) 0)
(+.f64 0 (*.f64 (log.f64 x.im) y.re))
(+.f64 (.f64 (log.f64 x.im) (.f64 y.re 1/2)) (.f64 (log.f64 x.im) (.f64 y.re 1/2)))
(-.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)

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

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.im)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.8b	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series10.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`bool.json-1`
1622×	`bool.json-2`
1588×	`rational.json-1`
1588×	`rational.json-2`
1140×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	69	11
2	194	11
3	403	11
4	809	11
5	1739	11
6	3713	11
7	6672	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.im) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) (*.f64 y.im 1/2)) (*.f64 (log.f64 x.im) (*.f64 y.im 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.im) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (*.f64 y.im 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.im 8) (log.f64 x.im)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 x.im) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 x.im) y.im) (*.f64 (log.f64 x.im) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.im) y.im) (*.f64 (log.f64 x.im) y.im))))))

simplify996.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

8546×	`rational.json-simplify-41`
4032×	`rational.json-simplify-35`
2884×	`rational.json-simplify-2`
1812×	`rational.json-simplify-53`
762×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	345
1	111	329
2	216	329
3	452	329
4	1365	329
5	2657	329
6	3621	329
7	3800	329
8	3931	329
9	4059	329
10	4184	329
11	4309	329
12	4865	329
13	5008	329
14	5066	329
15	5066	329
16	5191	329
17	5316	329
18	5441	329
19	5566	329
20	5691	329
21	5959	329
22	6285	329
23	6463	329
24	6613	329
25	6742	329
26	6867	329
27	6867	329
28	7173	329
29	7173	329

Stop Event

1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	12.1b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 107 to 16 computations (85% saved)

series124.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
81.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
13.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite1.1s (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`bool.json-1`
1296×	`bool.json-2`
1258×	`rational.json-1`
1258×	`rational.json-2`
1258×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	152	52
2	400	52
3	838	52
4	1825	52
5	4249	52

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (neg.f64 x.re)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 1/2)) (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 4)))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 (neg.f64 x.re)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (log.f64 (neg.f64 x.re)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (log.f64 (neg.f64 x.re)) y.re))))))

simplify262.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2294×	`rational.json-simplify-2`
1710×	`rational.json-simplify-35`
998×	`rational.json-simplify-26`
728×	`rational.json-simplify-1`
608×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	4186
1	342	4154
2	737	4154
3	1659	4108
4	2827	4108
5	3749	4108
6	4937	4108
7	5756	4108
8	6656	4108
9	7220	4108
10	7748	4108

Stop Event

1×	node limit

Counts

114 → 86

Calls

Call 1

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

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

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	13.7b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series34.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
9.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`bool.json-1`
1246×	`bool.json-2`
1208×	`rational.json-1`
1208×	`rational.json-2`
1208×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	142	37
2	380	37
3	799	37
4	1743	37
5	4050	37

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.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 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

simplify207.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1880×	`rational.json-simplify-35`
1142×	`rational.json-simplify-26`
1100×	`rational.json-simplify-41`
958×	`rational.json-simplify-2`
860×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	3585
1	288	3569
2	613	3569
3	1370	3523
4	2767	3523
5	4479	3523
6	6206	3523
7	7133	3523
8	7753	3523

Stop Event

1×	node limit

Counts

81 → 75

Calls

Call 1

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

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

eval207.0ms (0.3%)

Compiler: Compiled 25294 to 8275 computations (67.3% saved)

prune229.0ms (0.4%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	711	13	724
Fresh	4	8	12
Picked	1	0	1
Done	1	3	4
Total	717	24	741

Error

4.8b

Counts

741 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1))
	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1))
✓	30.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	54.8b	(.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))) (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	46.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
▶	42.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	43.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	53.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1))
	46.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))))))))
▶	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) (.f64 y.im (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
▶	43.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	43.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.im))))
	56.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))

Compiler

Compiled 1395 to 822 computations (41.1% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	4.4b	(+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -1) -1)
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 142 to 27 computations (81% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`rational.json-simplify-35`
1338×	`bool.json-1`
1338×	`bool.json-2`
1300×	`rational.json-1`
1300×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	103	13
2	284	13
3	576	13
4	1204	13
5	2688	13
6	5413	13

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.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 y.re (atan2.f64 x.im x.re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 x.im x.re) y.re)))) (#(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 1 (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 x.im x.re) 2) (*.f64 y.re 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y.re y.re) (*.f64 (atan2.f64 x.im x.re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y.re 1/2) (*.f64 (atan2.f64 x.im x.re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 x.im x.re) 1/2) (+.f64 y.re y.re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 4) 4)))) (#(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 (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 (*.f64 y.re (atan2.f64 x.im x.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))))

simplify578.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2678×	`rational.json-simplify-48`
2032×	`rational.json-simplify-35`
1842×	`rational.json-simplify-2`
1718×	`rational.json-simplify-1`
770×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	806
1	133	806
2	284	806
3	1030	806
4	2041	806
5	2926	806
6	3615	806
7	4063	806
8	4495	806
9	4646	806
10	4780	806
11	4918	806
12	5066	806
13	5597	806
14	5864	806
15	6150	806
16	6356	806
17	6459	806
18	6524	806
19	6589	806
20	6589	806
21	6634	806
22	6715	806
23	7838	806

Stop Event

1×	node limit

Counts

62 → 26

Calls

Call 1

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

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

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 65 to 12 computations (81.5% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`bool.json-1`
1512×	`bool.json-2`
1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	115	29
2	292	29
3	603	29
4	1246	29
5	2783	29
6	5820	29

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 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 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 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 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 x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (log.f64 x.im) y.re) (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x.im) y.re) (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2) (*.f64 (-.f64 (*.f64 (log.f64 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 (log.f64 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 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 x.im) (*.f64 y.re 1/2)) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 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 x.im) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) 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.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 (log.f64 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 (log.f64 x.im) (+.f64 y.re y.re)) (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) 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.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (log.f64 x.im) 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.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 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 x.im) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 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) (*.f64 (log.f64 x.im) y.re))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) 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.im) y.re)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8)) (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))))

simplify564.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2318×	`rational.json-simplify-49`
1920×	`rational.json-simplify-35`
1468×	`rational.json-simplify-1`
1428×	`rational.json-simplify-42`
998×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	2530
1	202	2514
2	443	2514
3	951	2514
4	1760	2514
5	2707	2514
6	3261	2514
7	3432	2514
8	3585	2514
9	3859	2514
10	4417	2514
11	4702	2514
12	5049	2514
13	5272	2514
14	5438	2514
15	5595	2514
16	6448	2514
17	6753	2514
18	7016	2514

Stop Event

1×	node limit

Counts

82 → 49

Calls

Call 1

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

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

localize101.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 y.im (log.f64 (neg.f64 x.re)))
	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	8.1b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series14.0ms (0%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	y.im	@	0	(*.f64 y.im (log.f64 (neg.f64 x.re)))
1.0ms	x.re	@	inf	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
0.0ms	y.im	@	0	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
0.0ms	x.re	@	0	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
0.0ms	x.re	@	-inf	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))

rewrite89.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`bool.json-1`
1644×	`bool.json-2`
1590×	`rational.json-1`
1590×	`rational.json-2`
1078×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	95	34
2	283	34
3	607	34
4	1294	34
5	2909	34
6	6302	34

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 1/2) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))) (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 8)) (*.f64 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.im (log.f64 (neg.f64 x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (PI.f64) (*.f64 y.im (log.f64 (neg.f64 x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 2) (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (PI.f64)) (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (*.f64 (PI.f64) -2)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 1/2)) (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (-.f64 (PI.f64) 1)) (-.f64 (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (-.f64 (PI.f64) 1)) (-.f64 (-.f64 -1 (PI.f64)) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) -1) (-.f64 (PI.f64) (+.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.f64) 1) (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (-.f64 (PI.f64) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (PI.f64)) (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (*.f64 y.im (log.f64 (neg.f64 x.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) -2) (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) -2) (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (-.f64 -1 (PI.f64))) (+.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (neg.f64 (PI.f64)) (*.f64 y.im (log.f64 (neg.f64 x.re))))) (-.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (PI.f64)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 2) (-.f64 (*.f64 (PI.f64) 2) (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (PI.f64)) (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) (*.f64 (PI.f64) -2)) (*.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (PI.f64) 2) (PI.f64)) (-.f64 (PI.f64) (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) -2)) (-.f64 (PI.f64) (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) 8)) (*.f64 2 (*.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (neg.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y.im (log.f64 (neg.f64 x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y.im (log.f64 (neg.f64 x.re))) (*.f64 y.im (log.f64 (neg.f64 x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.im (log.f64 (neg.f64 x.re))) (*.f64 y.im (log.f64 (neg.f64 x.re))))))))

simplify160.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1858×	`rational.json-simplify-35`
1398×	`rational.json-simplify-1`
1006×	`rational.json-simplify-52`
994×	`rational.json-simplify-2`
708×	`rational.json-simplify-26`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	180	2192
1	380	2160
2	868	2160
3	3312	2160
4	5264	2152
5	6130	2144
6	7216	2144
7	7691	2144

Stop Event

1×	node limit

Counts

98 → 105

Calls

Call 1

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

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

localize83.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	13.7b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 107 to 16 computations (85% saved)

series43.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	y.im	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
0.0ms	y.im	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
0.0ms	y.im	@	-inf	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
0.0ms	x.im	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.im)
0.0ms	x.im	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.im)

rewrite150.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`bool.json-1`
1798×	`bool.json-2`
1334×	`rational.json-simplify-35`
1126×	`bool.json-3`
1096×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	82	15
2	234	15
3	496	15
4	1032	15
5	2272	15
6	4565	15
7	7273	15

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (neg.f64 x.im)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (neg.f64 x.im)) (*.f64 y.im 1/2)) (*.f64 (log.f64 (neg.f64 x.im)) (*.f64 y.im 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.im)) (+.f64 y.im y.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.im)) (*.f64 y.im 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 (neg.f64 x.im)) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.im))))))

simplify1.1s (1.8%)

Algorithm

1×	egg-herbie

Rules

5332×	`rational.json-simplify-35`
2518×	`rational.json-simplify-2`
1118×	`rational.json-simplify-53`
802×	`rational.json-simplify-43`
746×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	653
1	118	637
2	225	637
3	490	637
4	1953	637
5	3605	637
6	4430	637
7	4800	637
8	4980	637
9	5156	637
10	5157	637
11	5494	637
12	5495	637
13	5570	637
14	5712	637
15	5912	637
16	6128	637
17	6313	637
18	6485	637
19	6657	637
20	6829	637
21	7001	637
22	7173	637
23	7173	637
24	7274	637
25	7274	637
26	7446	637
27	7618	637
28	7790	637
29	7962	637

Stop Event

1×	node limit

Counts

35 → 20

Calls

Call 1

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

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

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.5b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	15.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 127 to 17 computations (86.6% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

9 calls:

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

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`bool.json-1`
1422×	`bool.json-2`
1374×	`rational.json-1`
1374×	`rational.json-2`
1374×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	89	17
2	248	17
3	538	17
4	1179	17
5	2772	17
6	5636	17

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(cos.f64 (*.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 not (not (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))

simplify263.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2092×	`rational.json-simplify-35`
2082×	`rational.json-simplify-42`
1616×	`rational.json-simplify-2`
1580×	`rational.json-simplify-45`
1350×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	560
1	132	560
2	323	560
3	737	560
4	1134	560
5	2124	560
6	2701	560
7	2783	560
8	2867	560
9	2966	560
10	3079	560
11	3982	560
12	4405	560
13	4791	560
14	5342	560
15	6627	560
16	6818	560

Stop Event

1×	node limit

Counts

24 → 33

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)

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 (pow.f64 y.re 2) (.f64 -1/2 (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 (pow.f64 y.re 2) (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 1 (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 y.re 2) (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (.f64 1/24 (pow.f64 y.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 1 (+.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))) (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 y.re 2) (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))) (.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 (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))) (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))))))
(+.f64 1 (+.f64 (.f64 (pow.f64 y.re 2) (.f64 -1/2 (pow.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 (pow.f64 (atan2.f64 x.im x.re) 4) (.f64 1/24 (pow.f64 y.re 4))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 6) (.f64 -1/720 (pow.f64 y.re 6))))))
(+.f64 1 (+.f64 (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))))))
(+.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)))

eval565.0ms (0.9%)

Compiler: Compiled 22404 to 6390 computations (71.5% saved)

prune550.0ms (0.9%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	699	8	707
Fresh	1	15	16
Picked	1	0	1
Done	3	4	7
Total	704	27	731

Error

4.8b

Counts

731 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	54.8b	(.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))) (sin.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	48.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (log.f64 (neg.f64 x.re))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
✓	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	49.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1))
	46.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
✓	42.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))))
	48.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1))
	43.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	53.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1))
	46.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (.f64 (pow.f64 (log.f64 x.im) 2) (pow.f64 y.im 2)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 -1/6 (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 x.im) 3))))))))
	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 x.im) (.f64 y.im 1))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	43.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.im))))
	56.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (PI.f64))))))
	50.1b	(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
	33.7b	(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 772 to 460 computations (40.4% saved)

regimes2.6s (4%)

Counts

45 → 7

Calls

Call 1

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

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

Calls

5 calls:

1.3s	x.im
472.0ms	y.re
457.0ms	x.re
252.0ms	y.im
21.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
16.7b	6	`x.re`
14.1b	7	`x.im`
18.7b	5	`y.re`
22.4b	7	`y.im`
19.3b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1232 to 236 computations (80.8% saved)

bsearch3.1s (4.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	0.004502805743702259	0.006774078361506646
2.6s	1.9300454175297526e-168	1.513974440831054e-163
112.0ms	-3.670526372885774e-306	1.1489026454203809e-306
54.0ms	-1.2262008919217106e-211	-8.042093638807326e-221
217.0ms	-6.119111227728854e-176	-5.94287735664122e-186
93.0ms	-6.1438408605843075e-37	-7.248928379518242e-39

Results

3.0s	689×	body	256	valid
48.0ms	76×	body	1024	infinite
23.0ms	56×	body	512	infinite
20.0ms	32×	body	1024	valid
13.0ms	31×	body	512	valid
11.0ms	51×	body	256	infinite

Compiler

Compiled 3288 to 1777 computations (46% saved)

regimes2.8s (4.4%)

Counts

40 → 5

Calls

Call 1

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

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

Calls

4 calls:

1.3s	x.re
1.2s	x.im
198.0ms	y.im
54.0ms	y.re

Results

Error	Segments	Branch
17.0b	6	`x.re`
16.2b	5	`x.im`
21.7b	3	`y.re`
25.6b	5	`y.im`

Compiler

Compiled 978 to 171 computations (82.5% saved)

bsearch998.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
790.0ms	2.651354837817628e-39	4.264061761513555e-33
100.0ms	-1.2262008919217106e-211	-8.042093638807326e-221
60.0ms	-1.4323532612533582e-100	-4.0064978574164505e-108
47.0ms	-6.1438408605843075e-37	-7.248928379518242e-39

Results

907.0ms	511×	body	256	valid
35.0ms	55×	body	1024	infinite
21.0ms	52×	body	512	infinite
13.0ms	21×	body	1024	valid
7.0ms	31×	body	256	infinite
5.0ms	12×	body	512	valid

Compiler

Compiled 2150 to 1254 computations (41.7% saved)

regimes14.2s (22.2%)

Counts

33 → 8

Calls

Call 1

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

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

Calls

4 calls:

7.7s	x.im
6.4s	x.re
90.0ms	y.im
50.0ms	y.re

Results

Error	Segments	Branch
17.1b	8	`x.re`
17.3b	3	`x.im`
21.7b	3	`y.re`
25.6b	5	`y.im`

Compiler

Compiled 756 to 141 computations (81.3% saved)

bsearch493.0ms (0.8%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
106.0ms	7.727915566741055e+250	4.048814520469793e+263
68.0ms	2.314506378687805e+138	6.175430695074942e+145
105.0ms	8.576115648444873e-32	7.270269439788324e-25
29.0ms	1.997187591404779e-217	3.583235751939691e-216
75.0ms	-3.3837334150772387e-292	-1.549741813402299e-294
86.0ms	-3.8991690784263363e-160	-6.629498516573916e-166
23.0ms	-2.355359207004377e-126	-6.990521051651942e-127

Results

351.0ms	854×	body	256	valid
75.0ms	33×	body	256	infinite
22.0ms	33×	body	1024	infinite
11.0ms	18×	body	1024	valid
10.0ms	25×	body	512	infinite
9.0ms	22×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 3338 to 1963 computations (41.2% saved)

regimes858.0ms (1.3%)

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

251.0ms	y.im
205.0ms	x.re
188.0ms	x.im
80.0ms	y.re

Results

Error	Segments	Branch
17.3b	8	`x.re`
17.3b	3	`x.im`
21.7b	3	`y.re`
25.6b	5	`y.im`

Compiler

Compiled 696 to 139 computations (80% saved)

bsearch123.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	2.651354837817628e-39	4.264061761513555e-33
49.0ms	-1.2262008919217106e-211	-8.042093638807326e-221

Results

58.0ms	276×	body	256	valid
33.0ms	9×	body	1024	valid
14.0ms	23×	body	1024	infinite
8.0ms	19×	body	512	infinite
3.0ms	15×	body	256	infinite
1.0ms	3×	body	512	valid
1.0ms	1×	body	2048	infinite

Compiler

Compiled 1110 to 646 computations (41.8% saved)

regimes279.0ms (0.4%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

104.0ms	y.im
92.0ms	x.re
38.0ms	x.im
36.0ms	y.re

Results

Error	Segments	Branch
18.3b	7	`x.re`
17.3b	3	`x.im`
21.8b	3	`y.re`
25.6b	5	`y.im`

Compiler

Compiled 554 to 116 computations (79.1% saved)

bsearch112.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	2.651354837817628e-39	4.264061761513555e-33
61.0ms	-1.2262008919217106e-211	-8.042093638807326e-221

Results

64.0ms	264×	body	256	valid
20.0ms	33×	body	1024	infinite
8.0ms	20×	body	512	infinite
7.0ms	12×	body	1024	valid
5.0ms	12×	body	512	valid
2.0ms	10×	body	256	infinite

Compiler

Compiled 1092 to 628 computations (42.5% saved)

regimes390.0ms (0.6%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

132.0ms	x.re
101.0ms	x.im
86.0ms	y.re
60.0ms	y.im

Results

Error	Segments	Branch
21.8b	6	`x.re`
21.1b	3	`x.im`
21.8b	3	`y.re`
25.7b	5	`y.im`

Compiler

Compiled 479 to 113 computations (76.4% saved)

bsearch250.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
112.0ms	2.651354837817628e-39	4.264061761513555e-33
137.0ms	-1.5416786974659982e-27	-6.889341647310743e-29

Results

123.0ms	246×	body	256	valid
97.0ms	7×	body	1024	valid
17.0ms	27×	body	1024	infinite
4.0ms	9×	body	512	infinite
4.0ms	10×	body	256	infinite
2.0ms	3×	body	512	valid

Compiler

Compiled 932 to 546 computations (41.4% saved)

regimes237.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

91.0ms	x.re
87.0ms	y.im
27.0ms	y.re
26.0ms	x.im

Results

Error	Segments	Branch
22.6b	5	`x.re`
23.5b	3	`x.im`
21.8b	3	`y.re`
25.7b	5	`y.im`

Compiler

Compiled 360 to 91 computations (74.7% saved)

bsearch415.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
332.0ms	5.041114308428834e+85	1.2756859049905643e+98
83.0ms	-3.1773950238415785e-7	-1.8796276856129073e-10

Results

118.0ms	171×	body	512	infinite
111.0ms	275×	body	256	valid
89.0ms	96×	body	256	infinite
62.0ms	88×	body	1024	infinite
23.0ms	19×	body	2048	infinite
4.0ms	9×	body	512	valid
3.0ms	4×	body	1024	valid

Compiler

Compiled 894 to 529 computations (40.8% saved)

regimes178.0ms (0.3%)

Counts

16 → 4

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	y.im
53.0ms	y.re
32.0ms	x.im
31.0ms	x.re

Results

Error	Segments	Branch
24.7b	4	`x.re`
24.6b	4	`x.im`
29.7b	5	`y.re`
29.5b	7	`y.im`

Compiler

Compiled 308 to 77 computations (75% saved)

bsearch134.0ms (0.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
40.0ms	1.432089620227844e-172	7.073275196321518e-170
43.0ms	8.437228317645296e-240	8.362498809158405e-238
50.0ms	-3.670526372885774e-306	1.1489026454203809e-306

Results

75.0ms	333×	body	256	valid
17.0ms	26×	body	1024	infinite
13.0ms	31×	body	512	infinite
12.0ms	18×	body	1024	valid
7.0ms	17×	body	512	valid
4.0ms	19×	body	256	infinite

Compiler

Compiled 1091 to 654 computations (40.1% saved)

regimes107.0ms (0.2%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	y.im
33.0ms	y.re
22.0ms	x.im
11.0ms	x.re

Results

Error	Segments	Branch
25.7b	2	`x.re`
24.6b	4	`x.im`
29.7b	5	`y.re`
29.9b	7	`y.im`

Compiler

Compiled 196 to 67 computations (65.8% saved)

bsearch220.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
140.0ms	1.432089620227844e-172	7.073275196321518e-170
36.0ms	8.437228317645296e-240	8.362498809158405e-238
44.0ms	-3.670526372885774e-306	1.1489026454203809e-306

Results

131.0ms	341×	body	256	valid
57.0ms	25×	body	1024	infinite
10.0ms	16×	body	1024	valid
7.0ms	18×	body	512	infinite
5.0ms	25×	body	256	infinite
4.0ms	11×	body	512	valid

Compiler

Compiled 1083 to 646 computations (40.4% saved)

regimes134.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

88.0ms	x.re
23.0ms	y.re
12.0ms	y.im
9.0ms	x.im

Results

Error	Segments	Branch
27.8b	4	`x.re`
25.8b	2	`x.im`
29.7b	5	`y.re`
32.6b	3	`y.im`

Compiler

Compiled 100 to 46 computations (54% saved)

bsearch103.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
103.0ms	-3.670526372885774e-306	1.1489026454203809e-306

Results

76.0ms	111×	body	256	valid
9.0ms	14×	body	1024	infinite
6.0ms	11×	body	512	valid
4.0ms	6×	body	1024	valid
3.0ms	8×	body	512	infinite
3.0ms	13×	body	256	infinite

Compiler

Compiled 408 to 241 computations (40.9% saved)

regimes52.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	y.re
14.0ms	x.re
11.0ms	y.im
7.0ms	x.im

Results

Error	Segments	Branch
27.8b	4	`x.re`
30.7b	2	`x.im`
29.7b	5	`y.re`
32.6b	3	`y.im`

Compiler

Compiled 82 to 40 computations (51.2% saved)

bsearch210.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
22.0ms	3.583235751939691e-216	7.337683041425709e-216
103.0ms	-4.391723704583376e-138	-8.141094264454801e-140
84.0ms	-2.9536162321868427e-50	-1.058635867249372e-77

Results

182.0ms	368×	body	256	valid
13.0ms	21×	body	1024	infinite
6.0ms	15×	body	512	infinite
2.0ms	9×	body	256	infinite

Compiler

Compiled 968 to 577 computations (40.4% saved)

regimes25.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

9.0ms	x.re
7.0ms	x.im
4.0ms	y.im
3.0ms	y.re

Results

Error	Segments	Branch
32.6b	3	`x.re`
30.7b	2	`x.im`
33.7b	1	`y.re`
33.7b	1	`y.im`

Compiler

Compiled 65 to 35 computations (46.2% saved)

bsearch88.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
88.0ms	-3.670526372885774e-306	1.1489026454203809e-306

Results

71.0ms	118×	body	256	valid
4.0ms	7×	body	1024	valid
4.0ms	6×	body	1024	infinite
4.0ms	12×	body	256	infinite
2.0ms	5×	body	512	infinite
1.0ms	3×	body	512	valid

Compiler

Compiled 368 to 217 computations (41% saved)

regimes52.0ms (0.1%)

Accuracy

Total -20.2b remaining (-59.9%)

Threshold costs -20.2b (-59.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	x.im
3.0ms	y.im
3.0ms	x.re
3.0ms	y.re

Results

Error	Segments	Branch
33.7b	1	`x.re`
33.7b	1	`x.im`
33.7b	1	`y.re`
33.7b	1	`y.im`

Compiler

Compiled 48 to 30 computations (37.5% saved)

simplify27.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	3664

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im -5387679635856641/11972621413014756705924586149611790497021399392059392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -3013961411830201/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -5723202695457333/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 4232505880258613/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 3170534137668829/576460752303423488) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))))
(if (<=.f64 x.im -5746858278247083/191561942608236107294793378393788647952342390272950272) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -3933896298648025/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -8338720222318261/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 972775489807449/748288838313422294120286634350736906063837462003712) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 x.re -2438866054934369/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re -6584924608819935/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -10673802988245/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 5464863684898495/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 6913231011544493/22300745198530623141535718272648361505980416) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 60000000000000004890563059170084895917537205848575560543954243539984964735620710122367292449997026447728765778204879586286618491947869680623943680) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 7299999999999999698546532735284394872248780520278684766131445514768410295952626682140520501328477137644353403476788212799983050076078617671288867425666281226211888686221013109917528393930649403618660297080180354543110645556837595386630500552489308783999407095808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.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))) (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 x.im -698633141535319/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 5612166287350667/23384026197294446691258957323460528314494920687616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -203690373709853/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -8474283175441637/5575186299632655785383929568162090376495104) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))) (if (<=.f64 x.im 5612166287350667/11692013098647223345629478661730264157247460343808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 y.re -3929008913747545/75557863725914323419136) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 2346099009001469/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 7396840143163425/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 2346099009001469/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 3589643010652839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.re -5527700825381261/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 1552518092300709/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im 221377464554871/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs
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(if (<=.f64 x.im -5746858278247083/191561942608236107294793378393788647952342390272950272) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -3933896298648025/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im -8338720222318261/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 972775489807449/748288838313422294120286634350736906063837462003712) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 x.re -2438866054934369/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re -6584924608819935/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -10673802988245/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 5464863684898495/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 6913231011544493/22300745198530623141535718272648361505980416) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 60000000000000004890563059170084895917537205848575560543954243539984964735620710122367292449997026447728765778204879586286618491947869680623943680) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 7299999999999999698546532735284394872248780520278684766131445514768410295952626682140520501328477137644353403476788212799983050076078617671288867425666281226211888686221013109917528393930649403618660297080180354543110645556837595386630500552489308783999407095808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.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))) (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 x.im -698633141535319/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 5612166287350667/23384026197294446691258957323460528314494920687616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -203690373709853/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -8474283175441637/5575186299632655785383929568162090376495104) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.im))))) (if (<=.f64 x.im 5612166287350667/11692013098647223345629478661730264157247460343808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 y.re -3929008913747545/75557863725914323419136) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 80000000000000001170455618453989842477603439029172404742288862973583709140091857272832) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 2346099009001469/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 7396840143163425/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 2346099009001469/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 3589643010652839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (log.f64 (neg.f64 x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 x.re -5527700825381261/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 1552518092300709/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im 221377464554871/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616) (.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 1283 to 483 computations (62.4% saved)

soundness304.0ms (0.5%)

Algorithm

3×	egg-herbie

Rules

1238×	`rational.json-simplify-35`
1238×	`rational.json-simplify-35`
1238×	`rational.json-simplify-35`
1094×	`rational.json-simplify-51`
1094×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	406	10732
1	1006	10540
2	2080	10516
3	4146	10104
4	5976	10104
0	406	10732
1	1006	10540
2	2080	10516
3	4146	10104
4	5976	10104
0	406	10732
1	1006	10540
2	2080	10516
3	4146	10104
4	5976	10104

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 279 to 100 computations (64.2% saved)

end262.0ms (0.4%)

Compiler: Compiled 1231 to 184 computations (85.1% saved)