Details

analyze454.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample10.3s (25%)

Results

4.4s	7927×	body	256	valid
3.6s	2539×	body	1024	infinite
910.0ms	836×	body	256	infinite
629.0ms	956×	body	512	infinite
444.0ms	202×	body	1024	valid
208.0ms	180×	body	2048	infinite
124.0ms	117×	body	512	valid
10.0ms	10×	body	2048	valid

Bogosity

preprocess809.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1592×	`rational.json-simplify-51`
1326×	`rational.json-simplify-46`
1210×	`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	170	805
2	230	805
3	382	805
4	1090	805
5	4791	805
6	7700	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)

simplify844.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-2`
922×	`rational.json-simplify-44`
822×	`rational.json-simplify-47`
818×	`rational.json-simplify-39`
726×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	38	115
2	54	115
3	108	115
4	427	115
5	4053	115
6	6385	115
7	7595	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

33.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.4b	(.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 (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

▶

33.4b

(*.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 (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)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	30.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	31.3b	(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)

series26.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	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)))
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.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)))

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-simplify-35`
1080×	`rational.json-1`
1080×	`rational.json-2`
1080×	`rational.json-3`
1066×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	124	104
2	275	104
3	707	104
4	2606	104

Stop Event

1×	node limit

Counts

4 → 53

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

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

simplify845.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1428×	`rational.json-simplify-51`
1296×	`rational.json-simplify-35`
1140×	`rational.json-simplify-2`
900×	`rational.json-simplify-43`
818×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	423	10971
1	1072	10779
2	2221	10743
3	4682	10331
4	7083	10331

Stop Event

1×	node limit

Counts

173 → 238

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

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

eval731.0ms (1.8%)

Compiler: Compiled 20157 to 8047 computations (60.1% saved)

prune530.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	297	5	302
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	5	303

Error

18.5b

Counts

303 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	24.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	48.6b	(.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))))
▶	51.3b	(.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 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (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 334 to 198 computations (40.7% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	16.3b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	30.4b	(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.re	@	-inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
0.0ms	x.im	@	inf	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
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)))

rewrite98.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`exponential.json-3`
1468×	`rational.json-1`
1468×	`rational.json-2`
1468×	`rational.json-4`
1468×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	61	30
2	141	30
3	291	30
4	563	30
5	1302	30
6	3467	30
7	6668	30

Stop Event

1×	node limit

Counts

2 → 89

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

simplify102.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational.json-simplify-2`
1158×	`exponential.json-simplify-26`
1072×	`rational.json-simplify-48`
1052×	`rational.json-simplify-1`
876×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1561
1	443	1561
2	1321	1561
3	4726	1561
4	7653	1561

Stop Event

1×	node limit

Counts

93 → 102

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 (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))) 1/2) (.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))) -1) -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 (-.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -1) 1)
(.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))) 1/4))
(.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))) 8) 1/8)
(.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))) 1/4) 4)
(.f64 1/8 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8))
(/.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 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 2 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(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 (PI.f64) 1/2) (+.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (PI.f64))))
(+.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 1 (*.f64 y.re (atan2.f64 x.im x.re))))
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(-.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 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(*.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 (+.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 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) -2)) (PI.f64)) (*.f64 (PI.f64) -3))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.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 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) -4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.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 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8)))) 64)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (+.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (neg.f64 (.f64 2 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(neg.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
	30.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	31.3b	(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)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
	30.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	31.3b	(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)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
	30.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	31.3b	(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)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	18.3b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	30.4b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series63.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
12.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-1`
1364×	`rational.json-2`
1364×	`rational.json-3`
1362×	`rational.json-simplify-35`
1338×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	97	37
2	214	37
3	464	37
4	972	37
5	2356	33
6	5513	33

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify250.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1750×	`rational.json-simplify-35`
1090×	`rational.json-simplify-2`
932×	`rational.json-simplify-52`
880×	`rational.json-simplify-26`
870×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	3408
1	297	3386
2	645	3368
3	1729	3322
4	2782	3322
5	3517	3322
6	4567	3322
7	6138	3322
8	6734	3322
9	7275	3322

Stop Event

1×	node limit

Counts

80 → 74

Calls

Call 1

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

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

eval1.1s (2.7%)

Compiler: Compiled 59209 to 24420 computations (58.8% saved)

prune457.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1039	11	1050
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1044	11	1055

Error

2.6b

Counts

1055 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	36.4b	(.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))))
	48.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.8b	(.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))))
▶	39.8b	(.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))))
	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	41.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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))))
	45.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	52.8b	(.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))))
▶	43.0b	(.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 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	46.9b	(.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 572 to 336 computations (41.3% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	30.4b	(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)

rewrite82.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2286×	`rational.json-1`
2286×	`rational.json-2`
1336×	`rational.json-simplify-35`
954×	`rational.json-3`
940×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	81	33
2	191	33
3	525	33
4	2197	33
5	7249	33

Stop Event

1×	node limit

Counts

1 → 11

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

simplify128.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-2`
1082×	`rational.json-simplify-51`
1032×	`rational.json-simplify-41`
890×	`rational.json-simplify-35`
808×	`rational.json-simplify-53`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2609
1	323	2505
2	600	2481
3	1099	2361
4	2530	2319
5	6692	2319
6	7929	2319

Stop Event

1×	node limit

Counts

47 → 125

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

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

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	16.3b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series29.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x.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))))
7.0ms	x.im	@	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))))
7.0ms	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.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	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))))

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`rational.json-simplify-35`
1252×	`rational.json-1`
1252×	`rational.json-2`
1252×	`rational.json-3`
1228×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	106	55
2	221	55
3	483	55
4	935	55
5	2259	51
6	5141	51

Stop Event

1×	node limit

Counts

1 → 40

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

simplify236.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1658×	`rational.json-simplify-35`
1208×	`rational.json-simplify-61`
1020×	`rational.json-simplify-53`
978×	`rational.json-simplify-46`
868×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	5712
1	503	5546
2	1146	5334
3	2956	5312
4	6945	5312

Stop Event

1×	node limit

Counts

88 → 90

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

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

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.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))))
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	16.3b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y.re	@	0	(.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))))
1.0ms	x.im	@	0	(.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))))
1.0ms	x.im	@	inf	(.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))))
1.0ms	y.im	@	0	(.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))))
1.0ms	x.re	@	0	(.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))))

rewrite248.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`rational.json-simplify-35`
1270×	`rational.json-1`
1270×	`rational.json-2`
1270×	`rational.json-3`
1244×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	116	59
2	249	59
3	549	59
4	1099	59
5	2646	51
6	5290	51

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(.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))))

Outputs

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

simplify196.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational.json-simplify-35`
1180×	`rational.json-simplify-2`
898×	`rational.json-simplify-49`
874×	`rational.json-simplify-61`
796×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	5053
1	431	4887
2	919	4729
3	2220	4707
4	5248	4707
5	6990	4707

Stop Event

1×	node limit

Counts

73 → 77

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.im)
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	13.5b	(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)

series30.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	y.im	@	0	(*.f64 (log.f64 x.im) y.im)
1.0ms	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.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`rational.json-simplify-35`
1164×	`rational.json-1`
1164×	`rational.json-2`
1164×	`rational.json-3`
1140×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	87	44
2	186	44
3	398	44
4	808	44
5	1968	44
6	4632	44

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

simplify256.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational.json-simplify-35`
1096×	`rational.json-simplify-38`
1030×	`rational.json-simplify-1`
968×	`rational.json-simplify-2`
684×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	3712
1	403	3680
2	919	3656
3	2542	3614
4	4686	3614
5	5525	3614
6	6921	3614

Stop Event

1×	node limit

Counts

114 → 103

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.im)
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	17.5b	(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
13.0ms	y.im	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.im)
12.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
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)))

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-1`
1364×	`rational.json-2`
1364×	`rational.json-3`
1362×	`rational.json-simplify-35`
1338×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	97	52
2	214	52
3	464	52
4	972	52
5	2356	44
6	5513	44

Stop Event

1×	node limit

Counts

2 → 58

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

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

simplify277.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational.json-simplify-35`
1096×	`rational.json-simplify-38`
888×	`rational.json-simplify-1`
782×	`rational.json-simplify-2`
770×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	4194
1	407	4156
2	876	4150
3	2416	4104
4	4346	4104
5	5436	4104
6	6979	4104

Stop Event

1×	node limit

Counts

130 → 110

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

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

eval404.0ms (1%)

Compiler: Compiled 28889 to 8965 computations (69% saved)

prune480.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	894	11	905
Fresh	1	5	6
Picked	1	0	1
Done	3	1	4
Total	899	17	916

Error

2.6b

Counts

916 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	40.4b	(/.f64 (pow.f64 x.im y.re) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	41.9b	(.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	30.5b	(.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
	46.4b	(.f64 (.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 (neg.f64 x.im)))))
▶	43.7b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
▶	24.7b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
▶	39.9b	(.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)))
	36.4b	(.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))))
	48.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	39.8b	(.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))))
	45.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1))
	45.9b	(.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)))
▶	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	41.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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))))
✓	43.0b	(.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 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	55.6b	(.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)))))
	47.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.im))))

Compiler

Compiled 767 to 465 computations (39.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
✓	31.6b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 127 to 27 computations (78.7% saved)

series117.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
112.0ms	y.re	@	0	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
1.0ms	x.re	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.re	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.im	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.im	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2154×	`rational.json-1`
2154×	`rational.json-2`
1312×	`rational.json-simplify-35`
890×	`rational.json-3`
884×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	72	52
2	160	52
3	443	52
4	2023	52
5	6851	52

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

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

Outputs

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

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

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational.json-simplify-35`
1018×	`rational.json-simplify-53`
986×	`rational.json-simplify-1`
872×	`rational.json-simplify-61`
766×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	4039
1	389	4021
2	726	3943
3	1482	3877
4	3322	3877
5	7154	3877

Stop Event

1×	node limit

Counts

85 → 204

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.1b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	16.3b	(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	y.re	@	-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))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`rational.json-1`
1674×	`rational.json-2`
1674×	`rational.json-3`
1666×	`rational.json-4`
928×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	74	29
2	165	29
3	347	29
4	657	29
5	1525	29
6	3398	29
7	6472	29

Stop Event

1×	node limit

Counts

1 → 12

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

simplify161.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1938×	`rational.json-simplify-2`
1612×	`rational.json-simplify-35`
996×	`rational.json-simplify-43`
966×	`rational.json-simplify-48`
846×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	1154
1	191	1114
2	355	1102
3	715	1102
4	2633	1086
5	4380	1086
6	5018	1086
7	5549	1086
8	6643	1086
9	7792	1086

Stop Event

1×	node limit

Counts

24 → 37

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 (pow.f64 x.im y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (.f64 (pow.f64 x.im y.re) (.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))) (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 (pow.f64 x.im y.re) (.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))) (*.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 2 (.f64 2 (.f64 (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.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 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)))) 64)
(pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 1)

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 (+.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 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 (.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 (atan2.f64 x.im x.re) (.f64 1/2 (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 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 1/2 (.f64 (atan2.f64 x.im x.re) (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 (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 y.re (atan2.f64 x.im x.re)) (+.f64 (.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 (.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 (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 (atan2.f64 x.im x.re) (.f64 1/2 (pow.f64 (log.f64 x.im) 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 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im)))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (atan2.f64 x.im x.re) (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 (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 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (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 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (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 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (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 (log.f64 (/.f64 1 x.im)) (.f64 y.re -1))) (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 (pow.f64 x.im y.re) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (.f64 (pow.f64 x.im y.re) (.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))) (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 (pow.f64 x.im y.re) (.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))) (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 2 (.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))
(/.f64 (+.f64 (.f64 2 (.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 2 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) 8)))) 64)
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(pow.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))

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series15.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Expression
10.0ms	y.re	@	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
0.0ms	y.re	@	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	y.im	@	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.im	@	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.re	@	(*.f64 (log.f64 (neg.f64 x.re)) y.re)

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	92	52
2	196	52
3	433	52
4	845	52
5	1996	40
6	4288	40

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1562×	`rational.json-simplify-51`
1508×	`rational.json-simplify-35`
1484×	`rational.json-simplify-53`
1082×	`rational.json-simplify-43`
720×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	5205
1	605	5069
2	1849	4953
3	4746	4891

Stop Event

1×	node limit

Counts

145 → 138

Calls

Call 1

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

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

localize93.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 y.re (atan2.f64 x.im x.re))
	16.3b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.re)
	0.8b	(*.f64 (atan2.f64 x.im x.re) y.im)
	1.2b	(*.f64 (atan2.f64 x.im x.re) y.re)
	18.3b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 105 to 17 computations (83.8% saved)

series26.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y.re	@	0	(*.f64 (log.f64 x.re) y.re)
6.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.re)
6.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.re) y.re)
0.0ms	y.re	@	-inf	(*.f64 (log.f64 x.re) y.re)

rewrite146.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 26

Calls

Call 1

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

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

eval274.0ms (0.7%)

Compiler: Compiled 25781 to 9558 computations (62.9% saved)

prune465.0ms (1.1%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	866	9	875
Fresh	2	9	11
Picked	0	1	1
Done	2	3	5
Total	870	22	892

Error

2.6b

Counts

892 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	40.4b	(/.f64 (pow.f64 x.im y.re) (/.f64 (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	42.7b	(.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))
	41.9b	(.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	57.6b	(.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 x.im))))
	30.5b	(.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re))
	40.7b	(.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))
	44.1b	(.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re))
	46.4b	(.f64 (.f64 (atan2.f64 x.im x.re) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (+.f64 y.re (.f64 (pow.f64 y.re 2) (log.f64 (neg.f64 x.im)))))
	43.7b	(.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
✓	43.7b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	30.7b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) 1))
	45.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (+.f64 1 (.f64 y.re (atan2.f64 x.im x.re))) 1))
	36.4b	(.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))))
	48.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	39.8b	(.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))))
✓	50.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	41.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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))))
	53.7b	(.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 (neg.f64 x.im)))))
✓	43.0b	(.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 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	55.6b	(.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)))))
	47.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.im))))
	49.2b	(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 469 to 291 computations (38% saved)

regimes674.0ms (1.6%)

Counts

37 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

212.0ms	x.re
197.0ms	x.im
133.0ms	y.re
105.0ms	y.im
13.0ms	(.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
12.8b	3	`x.re`
14.3b	4	`x.im`
16.4b	5	`y.re`
23.0b	2	`y.im`
18.0b	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 816 to 177 computations (78.3% saved)

bsearch303.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	1.2044887359328827e-111	3.634056890174645e-109
154.0ms	-3.6632935932888733e-268	-4.273689258643194e-270

Results

209.0ms	237×	body	256	valid
82.0ms	17×	body	1024	infinite
4.0ms	9×	body	512	infinite
2.0ms	11×	body	256	infinite
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 932 to 542 computations (41.8% saved)

regimes452.0ms (1.1%)

Counts

31 → 3

Calls

Call 1

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

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 (*.f64 y.re (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) (*.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:

173.0ms	y.re
153.0ms	x.re
88.0ms	x.im
27.0ms	y.im

Results

Error	Segments	Branch
13.0b	3	`x.re`
15.7b	3	`x.im`
17.3b	5	`y.re`
23.1b	2	`y.im`

Compiler

Compiled 591 to 149 computations (74.8% saved)

bsearch251.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.2044887359328827e-111	3.634056890174645e-109
217.0ms	-3.6632935932888733e-268	-4.273689258643194e-270

Results

236.0ms	239×	body	256	valid
6.0ms	10×	body	1024	infinite
2.0ms	8×	body	256	infinite
2.0ms	4×	body	512	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 932 to 542 computations (41.8% saved)

regimes653.0ms (1.6%)

Counts

30 → 5

Calls

Call 1

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

243.0ms	y.re
111.0ms	x.im
110.0ms	x.re
26.0ms	y.im

Results

Error	Segments	Branch
14.9b	5	`x.re`
15.7b	3	`x.im`
18.4b	3	`y.re`
23.1b	2	`y.im`

Compiler

Compiled 566 to 148 computations (73.9% saved)

bsearch272.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
105.0ms	1.2044887359328827e-111	3.634056890174645e-109
39.0ms	1.2587470604833627e-258	7.216251522596495e-255
39.0ms	-2.0361408220136026e-168	-3.972444706185439e-174
89.0ms	-1.554158906379218e-86	-4.546730202540383e-92

Results

161.0ms	543×	body	256	valid
93.0ms	26×	body	1024	infinite
7.0ms	14×	body	512	infinite
3.0ms	13×	body	256	infinite
1.0ms	1×	body	1024	valid

Compiler

Compiled 1805 to 1078 computations (40.3% saved)

regimes159.0ms (0.4%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	x.re
39.0ms	y.re
35.0ms	x.im
30.0ms	y.im

Results

Error	Segments	Branch
20.0b	4	`x.re`
15.7b	3	`x.im`
18.4b	3	`y.re`
23.1b	2	`y.im`

Compiler

Compiled 470 to 135 computations (71.3% saved)

bsearch186.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	1.0309126519398424e-47	1.9115818095392592e-34
107.0ms	-3.184845873872816e-30	-1.139736192801678e-37

Results

88.0ms	53×	body	1024	infinite
77.0ms	296×	body	256	valid
7.0ms	14×	body	512	infinite
4.0ms	6×	body	1024	valid
3.0ms	15×	body	256	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 1114 to 662 computations (40.6% saved)

regimes153.0ms (0.4%)

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

44.0ms	x.re
40.0ms	x.im
37.0ms	y.re
24.0ms	y.im

Results

Error	Segments	Branch
20.0b	4	`x.re`
17.8b	3	`x.im`
18.4b	3	`y.re`
23.1b	2	`y.im`

Compiler

Compiled 447 to 130 computations (70.9% saved)

bsearch111.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	1.0600333900379397e+137	1.304945911089562e+142
44.0ms	-3.184845873872816e-30	-1.139736192801678e-37

Results

53.0ms	251×	body	256	valid
45.0ms	58×	body	1024	infinite
4.0ms	10×	body	512	infinite
3.0ms	12×	body	256	infinite
2.0ms	4×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 894 to 544 computations (39.1% saved)

regimes112.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

34.0ms	x.re
27.0ms	x.im
26.0ms	y.re
18.0ms	y.im

Results

Error	Segments	Branch
20.0b	4	`x.re`
19.7b	3	`x.im`
18.4b	3	`y.re`
23.1b	2	`y.im`

Compiler

Compiled 341 to 105 computations (69.2% saved)

bsearch135.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	16656504358.091553	53088012308.16213
42.0ms	-0.0002851509052279127	-5.9949082682946915e-15

Results

103.0ms	235×	body	256	valid
19.0ms	91×	body	256	infinite
4.0ms	7×	body	1024	infinite
3.0ms	5×	body	1024	valid
1.0ms	3×	body	512	infinite

Compiler

Compiled 698 to 425 computations (39.1% saved)

regimes271.0ms (0.7%)

Counts

12 → 2

Calls

Call 1

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

114.0ms	y.im
73.0ms	y.re
51.0ms	x.re
30.0ms	x.im

Results

Error	Segments	Branch
21.9b	2	`x.re`
27.9b	4	`x.im`
24.5b	3	`y.re`
24.5b	7	`y.im`

Compiler

Compiled 181 to 68 computations (62.4% saved)

bsearch44.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	-1.0929044502697944e-306	2.569192377492481e-301

Results

31.0ms	144×	body	256	valid
8.0ms	12×	body	1024	infinite
2.0ms	7×	body	256	infinite
1.0ms	3×	body	512	infinite

Compiler

Compiled 453 to 268 computations (40.8% saved)

regimes184.0ms (0.4%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	y.re
39.0ms	y.im
28.0ms	x.re
26.0ms	x.im

Results

Error	Segments	Branch
24.7b	4	`x.re`
27.9b	4	`x.im`
24.5b	3	`y.re`
24.5b	7	`y.im`

Compiler

Compiled 141 to 58 computations (58.9% saved)

bsearch273.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
30.0ms	9.196624070909154e-31	3.813191977699762e-28
30.0ms	1.9595936498423318e-80	7.695481560540304e-78
40.0ms	2.4893755126194146e-162	2.0151559213506408e-150
70.0ms	-4.330010780209322e-204	-2.089632879609802e-206
32.0ms	-4.0696133719279965e-124	-2.2401967466633242e-128
71.0ms	-1.4295981235360233e-20	-1.502258563113121e-22

Results

251.0ms	768×	body	256	valid
5.0ms	7×	body	1024	infinite
4.0ms	9×	body	512	infinite
3.0ms	10×	body	256	infinite

Compiler

Compiled 1664 to 1087 computations (34.7% saved)

regimes185.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

87.0ms	x.re
58.0ms	y.im
23.0ms	x.im
14.0ms	y.re

Results

Error	Segments	Branch
26.8b	5	`x.re`
27.9b	4	`x.im`
24.5b	3	`y.re`
24.7b	7	`y.im`

Compiler

Compiled 108 to 48 computations (55.6% saved)

bsearch7.6s (18.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	16656504358.091553	53088012308.16213
7.6s	-1.724445481379853e+61	-2.4658700482653797e+58

Results

7.6s	208×	body	256	valid
26.0ms	91×	body	256	infinite
6.0ms	10×	body	1024	infinite
4.0ms	11×	body	512	infinite

Compiler

Compiled 474 to 295 computations (37.8% saved)

regimes6.3s (15.1%)

Counts

6 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (pow.f64 (neg.f64 x.re) y.re) (*.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:

22.0ms	y.im
18.0ms	x.re
14.0ms	x.im
13.0ms	y.re

Results

Error	Segments	Branch
34.9b	3	`x.re`
33.2b	3	`x.im`
36.4b	3	`y.re`
37.2b	5	`y.im`

Compiler

Compiled 81 to 38 computations (53.1% saved)

bsearch163.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	8.1027066726487e-54	1.7902392904172135e-53
75.0ms	-1.1956045187361315e-65	-3.2939159502362785e-66

Results

85.0ms	152×	body	256	valid
48.0ms	6×	body	1024	valid
21.0ms	33×	body	1024	infinite
5.0ms	13×	body	512	infinite
1.0ms	2×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 348 to 225 computations (35.3% saved)

regimes49.0ms (0.1%)

Counts

4 → 5

Calls

Call 1

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

Calls

4 calls:

17.0ms	x.re
11.0ms	y.re
11.0ms	x.im
9.0ms	y.im

Results

Error	Segments	Branch
36.3b	5	`x.re`
37.0b	3	`x.im`
36.9b	3	`y.re`
39.4b	2	`y.im`

Compiler

Compiled 58 to 29 computations (50% saved)

bsearch208.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	3.1261783683826676e+52	1.576750473384182e+54
75.0ms	-3.6632935932888733e-268	-4.273689258643194e-270
41.0ms	-2.0361408220136026e-168	-3.972444706185439e-174
58.0ms	-1.0866682126761518e-50	-1.384769376143798e-52

Results

171.0ms	473×	body	256	valid
17.0ms	27×	body	1024	infinite
6.0ms	15×	body	512	infinite
2.0ms	11×	body	256	infinite
2.0ms	2×	body	2048	valid
2.0ms	5×	body	512	valid

Compiler

Compiled 918 to 595 computations (35.2% saved)

regimes73.0ms (0.2%)

Accuracy

Total -21.0b remaining (-56.5%)

Threshold costs -21.0b (-56.5%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.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))

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

45.0ms	y.re
13.0ms	x.im
8.0ms	y.im
6.0ms	x.re

Results

Error	Segments	Branch
42.0b	2	`x.re`
40.8b	4	`x.im`
37.1b	3	`y.re`
40.8b	3	`y.im`

Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch192.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	53088012308.16213	2.589683755038015e+23
75.0ms	-237667537685202.9	-4213900339682.6187

Results

86.0ms	181×	body	256	infinite
84.0ms	272×	body	256	valid
12.0ms	18×	body	1024	infinite
7.0ms	13×	body	512	infinite

Compiler

Compiled 456 to 297 computations (34.9% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	2339

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re -4609752416281127/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (.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 8393824269311061/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -6245471015606689/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (.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 2639993116960737/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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 -3303623494712261/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.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 -5003744802728199/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 2299137799502415/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (if (<=.f64 x.re 7581518694861603/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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.im -4019129502659983/91343852333181432387730302044767688728495783936) (.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)))) (if (<=.f64 x.im 6829486688100709/803469022129495137770981046170581301261101496891396417650688) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -7992587079153375/22835963083295358096932575511191922182123945984) (.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)))) (if (<=.f64 x.im 6500000000000000533421245074312341406142590769198659297777903825393965678612138883848411509954919561837249633920293697495361809233680116219904) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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.im (log.f64 x.im))))))
(if (<=.f64 y.re -4382356096103031/302231454903657293676544) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 52000000000) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.re -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 y.im -8639981972601953/664613997892457936451903530140172288) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (if (<=.f64 y.im -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -8189640480253831/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 5935929635354509/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 3650368469591399/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 8139771997463677/22300745198530623141535718272648361505980416) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re))))))))
(if (<=.f64 y.re -150000000000000001328368373973352086658834060711356113354752) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 52000000000) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im -1802280710560979/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 3494009088062723/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.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 x.re -7750984666805809/842498333348457493583344221469363458551160763204392890034487820288) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -4438104085898055/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re -966560990510559/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 599999999999999995932569204616976785877025065166438400) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re -4300000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 106000000000) (.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 y.re (atan2.f64 x.im x.re))

Outputs
(if (<=.f64 x.re -4609752416281127/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (.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 8393824269311061/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.re -6245471015606689/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (.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 2639993116960737/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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 -3303623494712261/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.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 -5003744802728199/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 2299137799502415/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (if (<=.f64 x.re 7581518694861603/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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.im -4019129502659983/91343852333181432387730302044767688728495783936) (.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)))) (if (<=.f64 x.im 6829486688100709/803469022129495137770981046170581301261101496891396417650688) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(if (<=.f64 x.im -7992587079153375/22835963083295358096932575511191922182123945984) (.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)))) (if (<=.f64 x.im 6500000000000000533421245074312341406142590769198659297777903825393965678612138883848411509954919561837249633920293697495361809233680116219904) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.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.im (log.f64 x.im))))))
(if (<=.f64 y.re -4382356096103031/302231454903657293676544) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 52000000000) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.re -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))
(if (<=.f64 y.im -8639981972601953/664613997892457936451903530140172288) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (if (<=.f64 y.im -3536355779654835/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im -8189640480253831/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 (/.f64 (pow.f64 x.re y.re) (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 5935929635354509/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.im 3650368469591399/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.im 8139771997463677/22300745198530623141535718272648361505980416) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (-.f64 (-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1) 1) (pow.f64 x.im y.re))))))))
(if (<=.f64 y.re -150000000000000001328368373973352086658834060711356113354752) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 52000000000) (.f64 (atan2.f64 x.im x.re) (.f64 (exp.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re)))) y.re)) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im -1802280710560979/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (.f64 (pow.f64 (neg.f64 x.im) y.re) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 3494009088062723/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.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 x.re -7750984666805809/842498333348457493583344221469363458551160763204392890034487820288) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -4438104085898055/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re -966560990510559/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 599999999999999995932569204616976785877025065166438400) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (.f64 (pow.f64 (neg.f64 x.re) y.re) (.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re -4300000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 106000000000) (.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 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 862 to 399 computations (53.7% saved)

soundness204.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1428×	`rational.json-simplify-51`
1428×	`rational.json-simplify-51`
1296×	`rational.json-simplify-35`
1296×	`rational.json-simplify-35`
1140×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	423	10971
1	1072	10779
2	2221	10743
3	4682	10331
4	7083	10331
0	423	10971
1	1072	10779
2	2221	10743
3	4682	10331
4	7083	10331

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 180 to 65 computations (63.9% saved)

end238.0ms (0.6%)

Compiler: Compiled 814 to 199 computations (75.6% saved)