Details

analyze462.0ms (0.9%)

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)

sample13.7s (27.1%)

Results

8.6s	2663×	body	1024	infinite
3.0s	7928×	body	256	valid
771.0ms	925×	body	512	infinite
554.0ms	13×	body	2048	valid
293.0ms	181×	body	2048	infinite
198.0ms	828×	body	256	infinite
156.0ms	156×	body	1024	valid
66.0ms	159×	body	512	valid

Bogosity

preprocess108.0ms (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)

simplify113.0ms (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

32.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9b	(.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 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

32.9b

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

Compiler

Compiled 41 to 19 computations (53.7% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	30.5b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series22.0ms (0%)

Counts

4 → 120

Calls

36 calls:

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

rewrite70.0ms (0.1%)

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

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

simplify452.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-35`
1094×	`rational.json-simplify-51`
1040×	`rational.json-simplify-2`
900×	`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	2079	10516
3	4145	10104
4	5981	10104

Stop Event

1×	node limit

Counts

164 → 232

Calls

Call 1

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

eval1.1s (2.1%)

Compiler: Compiled 20062 to 8134 computations (59.5% saved)

prune213.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	290	7	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	7	298

Error

18.8b

Counts

298 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(.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 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	45.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	29.8b	(.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 y.re (atan2.f64 x.im x.re))))
▶	49.3b	(.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))))
▶	50.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	49.0b	(.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 488 to 292 computations (40.2% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.6b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series4.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite83.0ms (0.2%)

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)))))))

simplify177.0ms (0.4%)

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))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	30.5b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize260.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	30.5b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.0b	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series56.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x.im	@	0	(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)))
9.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
6.0ms	x.im	@	inf	(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)))

rewrite94.0ms (0.2%)

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 (0.5%)

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))))

localize85.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	30.5b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 161 to 21 computations (87% saved)

eval1.7s (3.4%)

Compiler: Compiled 57998 to 24523 computations (57.7% saved)

prune401.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	997	12	1009
Fresh	2	0	2
Picked	1	0	1
Done	4	0	4
Total	1004	12	1016

Error

3.1b

Counts

1016 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(.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))) (.f64 y.re (atan2.f64 x.im x.re)))
	41.7b	(.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.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	53.2b	(.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))))
	45.1b	(.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 y.re (atan2.f64 x.im x.re))))
▶	45.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	54.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	51.1b	(.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))))
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	47.5b	(.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))))
▶	50.8b	(.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))))
▶	41.8b	(.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))))
▶	45.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 644 to 382 computations (40.7% saved)

localize26.0ms (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)
	1.5b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 121 to 16 computations (86.8% saved)

series36.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	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)

rewrite120.0ms (0.2%)

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))))))

simplify1.0s (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))))
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(.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 -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 -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 y.re (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.re))) (.f64 1/2 (/.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
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(*.f64 y.re (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 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 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)))))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	1.5b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.6b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series9.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	y.re	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	-inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	y.im	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

rewrite113.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`bool.json-1`
1220×	`bool.json-2`
1196×	`rational.json-1`
1196×	`rational.json-2`
1196×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	157	55
2	402	55
3	845	55
4	1769	55
5	4066	55
6	7932	55

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify1.2s (2.4%)

Algorithm

1×	egg-herbie

Rules

976×	`rational.json-simplify-41`
926×	`rational.json-simplify-2`
834×	`rational.json-simplify-53`
740×	`rational.json-simplify-49`
614×	`rational.json-simplify-35`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	145	4554
1	355	4380
2	725	4222
3	1574	4200
4	4259	4200
5	6071	4196
6	7055	4196

Stop Event

1×	node limit

Counts

66 → 69

Calls

Call 1

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

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

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
	1.5b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.6b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series30.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
7.0ms	x.im	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
7.0ms	x.im	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
0.0ms	y.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)

rewrite107.0ms (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.re)

Outputs

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

simplify1.2s (2.3%)

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

Outputs
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(*.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re)
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))))
(*.f64 y.re (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 x.im)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im))))
(*.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im))))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 0)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(+.f64 0 (*.f64 (log.f64 (neg.f64 x.im)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(+.f64 (.f64 (log.f64 (neg.f64 x.im)) (.f64 y.re 1/2)) (.f64 (log.f64 (neg.f64 x.im)) (.f64 y.re 1/2)))
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 0)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(/.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 1)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(/.f64 (*.f64 (log.f64 (neg.f64 x.im)) (+.f64 y.re y.re)) 2)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(/.f64 (.f64 (log.f64 (neg.f64 x.im)) (.f64 y.re 4)) 4)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(/.f64 (.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) 8) 8)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(/.f64 (.f64 2 (.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 8)) 16)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) 8))) 32)
(*.f64 y.re (log.f64 (neg.f64 x.im)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) 8)))) 64)
(*.f64 y.re (log.f64 (neg.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)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.0b	(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)

series11.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	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 (0.2%)

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))))))

simplify1.0s (2%)

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))

localize125.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.im)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	13.9b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 105 to 17 computations (83.8% saved)

series53.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	y.im	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.im)
9.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
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)))

rewrite73.0ms (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	52
1	142	52
2	380	52
3	799	52
4	1743	52
5	4050	52

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

simplify207.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1866×	`rational.json-simplify-35`
1204×	`rational.json-simplify-26`
1172×	`rational.json-simplify-2`
888×	`rational.json-simplify-48`
850×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	4223
1	339	4191
2	736	4191
3	1699	4145
4	2987	4145
5	4025	4145
6	5801	4145
7	6767	4145
8	7445	4145

Stop Event

1×	node limit

Counts

115 → 87

Calls

Call 1

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

eval213.0ms (0.4%)

Compiler: Compiled 23979 to 7973 computations (66.8% saved)

prune219.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	730	10	740
Fresh	2	5	7
Picked	1	0	1
Done	3	1	4
Total	736	16	752

Error

3.1b

Counts

752 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	36.3b	(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
▶	41.9b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	45.1b	(.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)))
	41.7b	(.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.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	53.2b	(.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))))
▶	45.5b	(.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)))
	48.5b	(.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 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1)))
	47.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	54.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	51.1b	(.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))))
▶	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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)))
✓	41.8b	(.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))))
▶	54.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	46.2b	(.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))))
▶	36.3b	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))

Compiler

Compiled 741 to 451 computations (39.1% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
✓	0.0b	(.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
✓	1.5b	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
✓	2.3b	(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))

Compiler

Compiled 52 to 10 computations (80.8% saved)

series121.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
76.0ms	x.im	@	0	(.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
33.0ms	x.re	@	-inf	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
2.0ms	x.im	@	inf	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
1.0ms	y.re	@	0	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))
1.0ms	x.re	@	inf	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))))

rewrite139.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`bool.json-1`
1808×	`bool.json-2`
1766×	`rational.json-1`
1090×	`bool.json-3`
1038×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	110
1	131	110
2	353	110
3	775	110
4	1614	110
5	3706	110
6	6671	110

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

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

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

simplify214.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-35`
1148×	`rational.json-simplify-1`
1146×	`rational.json-simplify-51`
1094×	`rational.json-simplify-2`
946×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	6103
1	407	6079
2	972	5665
3	2119	5659
4	5723	5659

Stop Event

1×	node limit

Counts

209 → 116

Calls

Call 1

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

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	1.5b	(*.f64 y.re (atan2.f64 x.im x.re))
	17.6b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

9 calls:

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

rewrite85.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`bool.json-1`
1656×	`bool.json-2`
1618×	`rational.json-1`
1078×	`bool.json-3`
850×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	110	29
2	301	29
3	625	29
4	1305	29
5	2932	29
6	6369	29

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify209.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational.json-simplify-35`
1302×	`rational.json-simplify-2`
1034×	`rational.json-simplify-46`
942×	`rational.json-simplify-48`
860×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	1096
1	173	1056
2	315	1044
3	642	1044
4	2118	1028
5	3410	1028
6	4202	1028
7	4667	1028
8	5694	1028
9	7356	1028

Stop Event

1×	node limit

Counts

22 → 32

Calls

Call 1

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

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

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
	1.5b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 72 to 13 computations (81.9% saved)

series81.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
77.0ms	x.re	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	y.re	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	inf	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite184.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`bool.json-1`
1728×	`bool.json-2`
1678×	`rational.json-1`
1070×	`bool.json-3`
986×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	128	33
2	332	33
3	696	33
4	1467	33
5	3298	33
6	6682	33

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

simplify576.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2004×	`rational.json-simplify-42`
1740×	`rational.json-simplify-35`
1574×	`rational.json-simplify-45`
1254×	`rational.json-simplify-1`
878×	`rational.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	2797
1	199	2781
2	426	2781
3	937	2781
4	1879	2781
5	2594	2781
6	3632	2781
7	4109	2781
8	4323	2781
9	4513	2781
10	4673	2781
11	4824	2781
12	7063	2781

Stop Event

1×	node limit

Counts

81 → 52

Calls

Call 1

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

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

localize91.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
✓	0.1b	(*.f64 y.im (log.f64 (neg.f64 x.re)))
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	10.1b	(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))

Compiler

Compiled 77 to 15 computations (80.5% saved)

series11.0ms (0%)

Counts

3 → 52

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
1.0ms	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))))
0.0ms	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))))

rewrite286.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`bool.json-1`
1854×	`bool.json-2`
1150×	`bool.json-3`
1036×	`rational.json-simplify-35`
1026×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	132	45
2	360	45
3	754	45
4	1601	45
5	3613	45
6	7150	45

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs
(sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re))))
(*.f64 y.im (log.f64 (neg.f64 x.re)))
(*.f64 (log.f64 x.im) y.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 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4)) 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 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4))) 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 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.re)))) 4)))) 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))) -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 (*.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 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 2 (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 4)))) 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 2 (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 4)))) (*.f64 2 (*.f64 2 (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.re)) 4))))) 32)))) (#(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))))))))

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

simplify423.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1988×	`rational.json-simplify-35`
1440×	`rational.json-simplify-1`
1050×	`rational.json-simplify-2`
918×	`rational.json-simplify-52`
868×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	211	2687
1	440	2639
2	988	2639
3	3319	2639
4	5395	2631
5	6300	2623
6	7329	2623
7	7831	2623

Stop Event

1×	node limit

Counts

131 → 121

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

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

localize102.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 x.re) y.re)
	1.5b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.8b	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series2.2s (4.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.1s	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
9.0ms	y.re	@	0	(*.f64 (log.f64 x.re) y.re)
7.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite138.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2004×	`bool.json-1`
1152×	`bool.json-2`
1128×	`rational.json-1`
1128×	`rational.json-2`
1128×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	139	44
2	360	44
3	745	44
4	1604	44
5	3745	44
6	7617	44

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify653.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2550×	`rational.json-simplify-2`
1942×	`rational.json-simplify-35`
1018×	`rational.json-simplify-1`
934×	`rational.json-simplify-52`
784×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	3582
1	321	3550
2	718	3550
3	1623	3508
4	2762	3508
5	3620	3508
6	4686	3508
7	6184	3508
8	6681	3508
9	7179	3508
10	7940	3508

Stop Event

1×	node limit

Counts

110 → 82

Calls

Call 1

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

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

eval1.0s (2.1%)

Compiler: Compiled 14368 to 4601 computations (68% saved)

prune315.0ms (0.6%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	590	11	601
Fresh	2	8	10
Picked	1	0	1
Done	3	2	5
Total	596	21	617

Error

3.1b

Counts

617 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	36.3b	(/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))
	53.9b	(+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 -1 (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (.f64 y.im y.re))))
	52.4b	(*.f64 (atan2.f64 x.im x.re) y.re)
	41.9b	(.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
	42.2b	(.f64 (sin.f64 (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1)) (pow.f64 x.im y.re))
	45.1b	(.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)))
	41.7b	(.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.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	53.2b	(.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))))
	48.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 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))
	48.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 1 (neg.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1))
	47.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	54.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	51.1b	(.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))))
	41.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))
	54.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.im (log.f64 (neg.f64 x.re))))
✓	41.8b	(.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))))
✓	54.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	46.2b	(.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))))
	49.8b	(.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
	53.4b	(.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (neg.f64 (pow.f64 (atan2.f64 x.im x.re) 2)))))
	53.4b	(.f64 y.re (.f64 (atan2.f64 x.im x.re) (-.f64 1 (*.f64 y.im (atan2.f64 x.im x.re)))))

Compiler

Compiled 463 to 287 computations (38% saved)

regimes575.0ms (1.1%)

Counts

41 → 3

Calls

Call 1

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

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

Calls

5 calls:

197.0ms	y.re
148.0ms	x.im
100.0ms	y.im
70.0ms	x.re
48.0ms	(.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
15.2b	3	`x.re`
16.2b	5	`x.im`
17.8b	6	`y.re`
23.9b	3	`y.im`
18.1b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 928 to 198 computations (78.7% saved)

bsearch136.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	1.3358812302823308e-172	1.634960700230475e-166
94.0ms	-2.5745704243412446e-124	-4.348959628963497e-125

Results

120.0ms	233×	body	256	valid
6.0ms	9×	body	1024	infinite
5.0ms	7×	body	512	valid
1.0ms	3×	body	512	infinite
1.0ms	4×	body	256	infinite

Compiler

Compiled 915 to 526 computations (42.5% saved)

regimes298.0ms (0.6%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

91.0ms	x.im
70.0ms	y.re
63.0ms	y.im
63.0ms	x.re

Results

Error	Segments	Branch
18.5b	3	`x.re`
19.3b	6	`x.im`
22.6b	5	`y.re`
26.8b	5	`y.im`

Compiler

Compiled 549 to 140 computations (74.5% saved)

bsearch73.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.3358812302823308e-172	1.634960700230475e-166
30.0ms	-2.5745704243412446e-124	-4.348959628963497e-125

Results

52.0ms	236×	body	256	valid
11.0ms	18×	body	1024	infinite
2.0ms	5×	body	512	infinite
2.0ms	4×	body	512	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 873 to 508 computations (41.8% saved)

regimes235.0ms (0.5%)

Counts

26 → 3

Calls

Call 1

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

Calls

4 calls:

66.0ms	x.im
59.0ms	y.re
56.0ms	y.im
45.0ms	x.re

Results

Error	Segments	Branch
18.9b	3	`x.re`
19.6b	6	`x.im`
22.6b	5	`y.re`
27.5b	5	`y.im`

Compiler

Compiled 453 to 127 computations (72% saved)

bsearch84.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	1.2379631429804254e-142	3.4782156102713964e-129
35.0ms	-2.5745704243412446e-124	-4.348959628963497e-125

Results

62.0ms	253×	body	256	valid
12.0ms	18×	body	1024	infinite
3.0ms	7×	body	512	infinite
1.0ms	6×	body	256	infinite
1.0ms	2×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 870 to 521 computations (40.1% saved)

regimes320.0ms (0.6%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

100.0ms	y.im
82.0ms	x.im
53.0ms	x.re
51.0ms	y.re

Results

Error	Segments	Branch
19.6b	5	`x.re`
22.0b	8	`x.im`
28.1b	5	`y.re`
28.6b	7	`y.im`

Compiler

Compiled 406 to 114 computations (71.9% saved)

bsearch7.7s (15.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	1.1946799814861724e-173	1.3358812302823308e-172
7.6s	3.000767350922795e-211	2.896876385322051e-202
36.0ms	-3.040729755619127e-267	-3.1801893567012832e-270
32.0ms	-1.1000260927068055e-139	-6.813782581096321e-141

Results

7.6s	480×	body	256	valid
15.0ms	24×	body	1024	infinite
4.0ms	7×	body	512	infinite
2.0ms	8×	body	256	infinite

Compiler

Compiled 1125 to 722 computations (35.8% saved)

regimes6.7s (13.3%)

Counts

16 → 5

Calls

Call 1

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

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

6.4s	y.im
140.0ms	x.re
87.0ms	y.re
78.0ms	x.im

Results

Error	Segments	Branch
25.8b	5	`x.re`
27.7b	2	`x.im`
29.3b	3	`y.re`
29.4b	7	`y.im`

Compiler

Compiled 252 to 93 computations (63.1% saved)

bsearch425.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
96.0ms	3.3247169131132625e-180	6.205672819655691e-176
85.0ms	3.000767350922795e-211	2.896876385322051e-202
106.0ms	-3.040729755619127e-267	-3.1801893567012832e-270
138.0ms	-1.1000260927068055e-139	-6.813782581096321e-141

Results

386.0ms	510×	body	256	valid
21.0ms	32×	body	1024	infinite
8.0ms	13×	body	512	infinite
3.0ms	13×	body	256	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 1122 to 685 computations (38.9% saved)

regimes201.0ms (0.4%)

Counts

13 → 5

Calls

Call 1

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

67.0ms	y.re
62.0ms	x.im
35.0ms	x.re
34.0ms	y.im

Results

Error	Segments	Branch
28.7b	5	`x.re`
31.6b	2	`x.im`
29.3b	3	`y.re`
31.4b	5	`y.im`

Compiler

Compiled 195 to 81 computations (58.5% saved)

bsearch221.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
63.0ms	3.3247169131132625e-180	6.205672819655691e-176
44.0ms	3.000767350922795e-211	2.896876385322051e-202
86.0ms	-3.040729755619127e-267	-3.1801893567012832e-270
28.0ms	-1.1000260927068055e-139	-6.813782581096321e-141

Results

192.0ms	510×	body	256	valid
15.0ms	23×	body	1024	infinite
4.0ms	9×	body	512	infinite
3.0ms	12×	body	256	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 1080 to 657 computations (39.2% saved)

regimes198.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

75.0ms	x.re
71.0ms	y.im
28.0ms	x.im
21.0ms	y.re

Results

Error	Segments	Branch
33.1b	5	`x.re`
32.3b	5	`x.im`
29.3b	3	`y.re`
31.4b	5	`y.im`

Compiler

Compiled 160 to 72 computations (55% saved)

bsearch236.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
146.0ms	1.6142961835513454e+86	1.5966810455448192e+90
89.0ms	-1076153799263.0852	-7896923.733246692

Results

105.0ms	272×	body	256	valid
50.0ms	58×	body	1024	infinite
42.0ms	99×	body	512	infinite
19.0ms	91×	body	256	infinite
14.0ms	11×	body	2048	infinite

Compiler

Compiled 575 to 348 computations (39.5% saved)

regimes49.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	x.re
13.0ms	y.im
12.0ms	y.re
9.0ms	x.im

Results

Error	Segments	Branch
40.8b	3	`x.re`
36.9b	2	`x.im`
37.2b	3	`y.re`
40.8b	3	`y.im`

Compiler

Compiled 73 to 37 computations (49.3% saved)

bsearch57.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	-7.600179830527564e-309	3.3849633642887965e-305

Results

26.0ms	119×	body	256	valid
17.0ms	22×	body	1024	infinite
3.0ms	7×	body	512	infinite
3.0ms	13×	body	256	infinite
2.0ms	6×	body	512	valid
2.0ms	3×	body	1024	valid
2.0ms	2×	body	2048	infinite

Compiler

Compiled 296 to 193 computations (34.8% saved)

regimes36.0ms (0.1%)

Accuracy

Total -22.0b remaining (-59.1%)

Threshold costs -22.0b (-59.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	y.re
10.0ms	y.im
10.0ms	x.re
4.0ms	x.im

Results

Error	Segments	Branch
40.8b	3	`x.re`
41.9b	1	`x.im`
37.2b	3	`y.re`
40.8b	3	`y.im`

Compiler

Compiled 61 to 32 computations (47.5% saved)

bsearch128.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
86.0ms	1.1709709111894142e-18	9.876036868968936e-10
41.0ms	-1076153799263.0852	-7896923.733246692

Results

59.0ms	277×	body	256	valid
48.0ms	3×	body	1024	infinite
8.0ms	35×	body	256	infinite
4.0ms	6×	body	1024	valid
3.0ms	7×	body	512	infinite
2.0ms	5×	body	512	valid

Compiler

Compiled 480 to 313 computations (34.8% saved)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1604

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re -3143850773938835/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.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 4699169032127353/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -1488565707357403/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5112521863657073/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -7621456421669903/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))))
(if (<=.f64 x.re -6221222879493365/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -7286382851541137/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 3883019193223799/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 3480865949723965/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (.f64 (sin.f64 (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))))))
(if (<=.f64 x.re -5920887981862651/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -1452164949685335/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 2118010469031163/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 4204745273200615/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.re -5920887981862651/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re -871298969811201/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 3088765267337113/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 2737464370573317/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re -1060000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 x.im -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)))
(if (<=.f64 y.re -9800000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 7737125245533627/9671406556917033397649408) (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 (atan2.f64 x.im x.re) y.re)

Outputs
(if (<=.f64 x.re -3143850773938835/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.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 4699169032127353/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -1488565707357403/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 5112521863657073/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -7621456421669903/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 1248699420126397/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.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.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))))
(if (<=.f64 x.re -6221222879493365/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -7286382851541137/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 3883019193223799/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 3480865949723965/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (.f64 (sin.f64 (+.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) -1) -1)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))))))
(if (<=.f64 x.re -5920887981862651/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -1452164949685335/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 2118010469031163/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 4204745273200615/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 x.re -5920887981862651/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re -871298969811201/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 3088765267337113/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (if (<=.f64 x.re 2737464370573317/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re -1060000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 x.im -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)))
(if (<=.f64 y.re -9800000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 7737125245533627/9671406556917033397649408) (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 (atan2.f64 x.im x.re) y.re)

Compiler

Compiled 601 to 273 computations (54.6% saved)

soundness219.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1248×	`rational.json-simplify-35`
1248×	`rational.json-simplify-35`
1094×	`rational.json-simplify-51`
1094×	`rational.json-simplify-51`
1040×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	406	10732
1	1006	10540
2	2079	10516
3	4145	10104
4	5981	10104
0	406	10732
1	1006	10540
2	2079	10516
3	4145	10104
4	5981	10104

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 180 to 65 computations (63.9% saved)

end230.0ms (0.5%)

Compiler: Compiled 565 to 124 computations (78.1% saved)