Details

analyze1.5s (2.1%)

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)

sample18.4s (25.8%)

Results

7.7s	7959×	body	256	valid
7.0s	2510×	body	1024	infinite
1.9s	1013×	body	512	infinite
1.1s	1080×	body	256	infinite
321.0ms	145×	body	1024	valid
193.0ms	44×	body	2048	infinite
154.0ms	143×	body	512	valid
46.0ms	9×	body	2048	valid

Bogosity

preprocess255.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1020×	`rational_best-simplify-64`
812×	`rational_best-simplify-50`
774×	`rational_best-simplify-1`
646×	`rational_best-simplify-63`
618×	`rational_best-simplify-108`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	230	805
2	396	805
3	742	805
4	1657	805
5	6035	805
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify473.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best-simplify-56`
1162×	`rational_best-simplify-66`
648×	`rational_best-simplify-52`
636×	`rational_best-simplify-48`
572×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	45	115
2	83	115
3	148	115
4	314	115
5	1006	115
6	6522	115

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

32.0b

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

localize125.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	32.8b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series88.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
21.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
19.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
16.0ms	x.im	@	-inf	(*.f64 (atan2.f64 x.im x.re) y.re)
5.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite973.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`rational_best-simplify-3`
996×	`rational_best-simplify-80`
990×	`rational_best-simplify-1`
960×	`rational_best-simplify-79`
838×	`rational_best-simplify-56`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	131	104
2	338	104
3	1120	104
4	4615	104

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify1.6s (2.2%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best-simplify-63`
1070×	`rational_best-simplify-55`
964×	`rational_best-simplify-57`
936×	`rational_best-simplify-51`
790×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	712	24171
1	1876	23361
2	4750	23157

Stop Event

1×	node limit

Counts

301 → 396

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4))))))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 6) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4)))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (.f64 (pow.f64 x.im 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (.f64 (pow.f64 x.im 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6))) (.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))) (.f64 1/6 (/.f64 y.im (pow.f64 x.re 6)))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))))) (+.f64 (.f64 (pow.f64 x.im 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 2))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 2))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 4))))
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (pow.f64 y.im 2))) (pow.f64 x.im 4))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 x.re 6) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) (pow.f64 y.im 2))) (pow.f64 x.im 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 2)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 x.re 6) (pow.f64 y.im 3))) (.f64 1/720 (.f64 y.im (+.f64 (.f64 30 (pow.f64 x.re 6)) (.f64 90 (pow.f64 x.re 6)))))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))))) (pow.f64 x.im 6)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 y.im (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 4)))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))))
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(cos.f64 (*.f64 y.re (atan2.f64 x.im 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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x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
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(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
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x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
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x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
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(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
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(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
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(*.f64 y.re (atan2.f64 x.im x.re))
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(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 2 (+.f64 y.im y.im))) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 64)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 2 (+.f64 y.im y.im)) (*.f64 2 (+.f64 y.im y.im)))) 64)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (+.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 2 (+.f64 y.im y.im)))) 16)
(/.f64 (.f64 (+.f64 y.im y.im) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 16)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(+.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) -1/2))
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) -1/2) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)))
(-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (*.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) (+.f64 (-.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))) (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.im)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.im))))
(-.f64 0 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (-.f64 (.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) -1/2) (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) (+.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))))
(-.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (+.f64 (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re)) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (/.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (+.f64 (-.f64 (.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) -1/2) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))))
(-.f64 (/.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4) (+.f64 (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (/.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4)) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.im)))))
(-.f64 (/.f64 (+.f64 (log.f64 (sqrt.f64 (pow.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 (-.f64 (.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) -1/2) (.f64 (atan2.f64 x.im x.re) y.re)) 2) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2))) (+.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))))
(-.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (/.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4)) (+.f64 (neg.f64 (/.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4)) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.im)))))
(-.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))))) (-.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(-.f64 (-.f64 (/.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4) (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (neg.f64 (/.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4)) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) y.im)))))
(-.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) -1/2)) (+.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im)))))
(/.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 4 (.f64 (atan2.f64 x.im x.re) y.re)) 4)
(/.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re))) 8)
(/.f64 (.f64 4 (.f64 4 (*.f64 (atan2.f64 x.im x.re) y.re))) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re))) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 64)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 2 (+.f64 y.re y.re)) (*.f64 2 (+.f64 y.re y.re)))) 64)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re)))) 16)
(/.f64 (.f64 (+.f64 y.re y.re) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 16)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)

Outputs
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.re 2) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 2))))
(+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re 2))) (pow.f64 x.im 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.re 2) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 2))) (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4)))))))
(+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 -1/4 (pow.f64 x.im 4))))) (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re 2))) (pow.f64 x.im 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 y.re (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4))))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.re 2) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im 4))))) (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 6) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (/.f64 1/8 (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 y.im (/.f64 1/6 (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))))))
(+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (/.f64 1/8 (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 y.im (/.f64 1/6 (pow.f64 x.im 6))) (.f64 (pow.f64 y.im 3) (/.f64 -1/48 (pow.f64 x.im 6))))))) (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 (pow.f64 x.re 4) (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (.f64 y.im (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 -1/4 (pow.f64 x.im 4))))) (.f64 -1/2 (/.f64 (.f64 y.im (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re 2))) (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))))
(cos.f64 (+.f64 (.f64 y.im (.f64 (log.f64 (/.f64 1 x.re)) -1)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (+.f64 (.f64 y.im (.f64 (log.f64 (/.f64 1 x.re)) -1)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (.f64 (log.f64 (/.f64 1 x.re)) -1)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (/.f64 -1/2 (pow.f64 x.re 2))))
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x.re
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(+.f64 x.re (*.f64 (pow.f64 x.im 2) (/.f64 1/2 x.re)))
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x.im
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(-.f64 (.f64 y.re (/.f64 (atan2.f64 x.im x.re) 2)) (+.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.im)) (neg.f64 (.f64 y.re (/.f64 (atan2.f64 x.im x.re) 2)))) (.f64 -1/2 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))
(+.f64 (neg.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.im))) (-.f64 (.f64 (/.f64 (atan2.f64 x.im x.re) 2) (+.f64 y.re y.re)) (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.im -1/2))))
(-.f64 (.f64 (+.f64 y.re y.re) (/.f64 (atan2.f64 x.im x.re) 2)) (+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.im)) (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (*.f64 y.im -1/2))))
(/.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 4 (.f64 (atan2.f64 x.im x.re) y.re)) 4)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re))) 8)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (.f64 4 (.f64 4 (*.f64 (atan2.f64 x.im x.re) y.re))) 16)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re))) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 64)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 2 (+.f64 y.re y.re)) (*.f64 2 (+.f64 y.re y.re)))) 64)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re)))) 16)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (*.f64 (+.f64 y.re y.re) 4)) 16)
(/.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) (*.f64 4 (+.f64 y.re y.re)))) 16)
(/.f64 (.f64 (+.f64 y.re y.re) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 16)
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(*.f64 y.re (atan2.f64 x.im x.re))

eval1.5s (2.1%)

Compiler: Compiled 29721 to 8298 computations (72.1% saved)

prune666.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	451	6	457
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	452	6	458

Error

17.3b

Counts

458 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	42.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 1 (neg.f64 (cos.f64 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) y.im))) (.f64 (atan2.f64 x.im x.re) y.re))))) -1))
▶	48.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	43.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	41.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	39.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	17.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 442 to 262 computations (40.7% saved)

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series6.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite335.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`rational_best-1`
1788×	`rational_best-2`
1788×	`rational_best-3`
1782×	`rational_best-4`
1780×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	57	30
2	112	30
3	315	30
4	1076	30
5	4807	30

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

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

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

simplify433.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational_best-simplify-1`
828×	`rational_best-simplify-55`
540×	`rational_best-simplify-63`
496×	`rational_best-simplify-64`
476×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	225	1582
1	570	1558
2	1612	1558
3	7948	1558

Stop Event

1×	node limit

Counts

88 → 97

Calls

Call 1

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

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

localize140.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.3b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series271.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
103.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
83.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
36.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
34.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite231.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational_best-4`
1546×	`rational_best-2`
1546×	`rational_best-3`
1546×	`rational_best-1`
1546×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	92	33
2	236	33
3	779	33
4	3300	33

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

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

simplify1.3s (1.8%)

Algorithm

1×	egg-herbie

Rules

962×	`rational_best-simplify-50`
660×	`rational_best-simplify-47`
634×	`rational_best-simplify-52`
616×	`rational_best-simplify-48`
482×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	4940
1	608	4850
2	1581	4842
3	7976	4842

Stop Event

1×	node limit

Counts

126 → 116

Calls

Call 1

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

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

localize262.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.0b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series179.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
91.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
24.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
22.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
21.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
13.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite201.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`rational_best-4`
1546×	`rational_best-2`
1546×	`rational_best-3`
1546×	`rational_best-1`
1546×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	92	33
2	236	33
3	779	33
4	3300	33

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (log.f64 x.re) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 x.re) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 x.re) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (cos.f64 (*.f64 (log.f64 x.re) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (/.f64 (cos.f64 (-.f64 (*.f64 (log.f64 x.re) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (log.f64 x.re) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 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(/.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (*.f64 (cos.f64 (*.f64 (log.f64 x.re) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify688.0ms (1%)

Algorithm

1×	egg-herbie

Rules

994×	`rational_best-simplify-50`
666×	`rational_best-simplify-47`
632×	`rational_best-simplify-52`
612×	`rational_best-simplify-48`
488×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	242	4934
1	613	4850
2	1572	4842
3	7985	4826

Stop Event

1×	node limit

Counts

126 → 118

Calls

Call 1

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

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

localize119.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.6b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series113.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
36.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
24.0ms	y.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite199.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`rational_best-4`
1642×	`rational_best-2`
1642×	`rational_best-3`
1642×	`rational_best-1`
1642×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	102	37
2	260	37
3	836	37
4	3561	37

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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simplify887.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

692×	`rational_best-simplify-50`
658×	`rational_best-simplify-48`
654×	`rational_best-simplify-47`
638×	`rational_best-simplify-52`
452×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	5410
1	629	5324
2	1568	5304
3	7533	5288

Stop Event

1×	node limit

Counts

124 → 114

Calls

Call 1

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

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

localize258.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (pow.f64 x.re 2) x.im)
✓	9.0b	(log.f64 (+.f64 (neg.f64 x.im) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
✓	16.5b	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 228 to 79 computations (65.4% saved)

series88.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
16.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
12.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
5.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite528.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational_best-simplify-1`
986×	`rational_best-simplify-60`
906×	`rational_best-simplify-62`
544×	`rational_best-simplify-58`
486×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	147	99
2	368	99
3	1180	99
4	5651	99

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify1.0s (1.4%)

Algorithm

1×	egg-herbie

Rules

1388×	`rational_best-simplify-47`
910×	`rational_best-simplify-52`
854×	`rational_best-simplify-1`
792×	`rational_best-simplify-48`
644×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	635	18484
1	1771	18282
2	5012	17870

Stop Event

1×	node limit

Counts

228 → 383

Calls

Call 1

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

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

eval3.1s (4.3%)

Compiler: Compiled 71675 to 23212 computations (67.6% saved)

prune3.9s (5.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1417	12	1429
Fresh	1	0	1
Picked	1	0	1
Done	4	0	4
Total	1423	12	1435

Error

2.2b

Counts

1435 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	38.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)) (+.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (log.f64 x.im) y.im))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (log.f64 x.im) y.im)) (-.f64 (/.f64 (PI.f64) 2) (*.f64 (atan2.f64 x.im x.re) y.re)))))) 2))
▶	17.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
	54.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (/.f64 -1/2 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	48.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
▶	18.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	39.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	51.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	36.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	34.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 760 to 458 computations (39.7% saved)

localize131.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 162 to 30 computations (81.5% saved)

localize110.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series120.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
88.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
16.0ms	x.re	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
2.0ms	x.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
2.0ms	x.im	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

rewrite250.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best-simplify-63`
1104×	`rational_best-simplify-57`
1086×	`rational_best-4`
1086×	`rational_best-2`
1086×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	114	88
2	248	88
3	761	88
4	2765	88

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify564.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

918×	`rational_best-simplify-1`
884×	`rational_best-simplify-55`
818×	`rational_best-simplify-51`
802×	`rational_best-simplify-52`
792×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	374	10469
1	986	10341
2	2193	10131
3	4747	10037

Stop Event

1×	node limit

Counts

119 → 293

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

Outputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.re (*.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 1/2 (/.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 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 (.f64 y.re (log.f64 x.im)) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (.f64 y.re (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.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 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (*.f64 y.re (log.f64 x.im))))
(+.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 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 y.re (.f64 1/2 (/.f64 (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 y.re (*.f64 1/6 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))
(+.f64 (.f64 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1)) (.f64 (.f64 y.re (pow.f64 x.im 2)) (/.f64 1/2 (pow.f64 x.re 2))))
(+.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re)))) (.f64 (*.f64 y.re (pow.f64 x.im 2)) (/.f64 1/2 (pow.f64 x.re 2))))
(+.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re)))) (.f64 y.re (*.f64 (pow.f64 x.im 2) (/.f64 1/2 (pow.f64 x.re 2)))))
(+.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re)))) (.f64 (pow.f64 x.im 2) (*.f64 1/2 (/.f64 y.re (pow.f64 x.re 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))))
(+.f64 (.f64 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1)) (+.f64 (.f64 (.f64 y.re (pow.f64 x.im 2)) (/.f64 1/2 (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re)))) (.f64 (*.f64 y.re (pow.f64 x.im 2)) (/.f64 1/2 (pow.f64 x.re 2)))))
(+.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re)))) (+.f64 (.f64 y.re (.f64 (pow.f64 x.im 2) (/.f64 1/2 (pow.f64 x.re 2)))) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
(+.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re)))) (+.f64 (.f64 (pow.f64 x.im 2) (.f64 1/2 (/.f64 y.re (pow.f64 x.re 2)))) (.f64 y.re (*.f64 (pow.f64 x.im 4) (/.f64 -1/4 (pow.f64 x.re 4))))))
(+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.re) (pow.f64 x.re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re)))))
(+.f64 (+.f64 (.f64 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1)) (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))) (+.f64 (.f64 (.f64 y.re (pow.f64 x.im 2)) (/.f64 1/2 (pow.f64 x.re 2))) (.f64 (.f64 y.re (*.f64 (pow.f64 x.im 6) 120)) (/.f64 1/720 (pow.f64 x.re 6)))))
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(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 1 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 2))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 2) 1/2)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 1/4 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 4))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 4) 1/4)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(.f64 (exp.f64 (/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 2)) (exp.f64 (/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2)))
(exp.f64 (+.f64 (/.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)) 2) (/.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)) 2)))
(exp.f64 (/.f64 (+.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (.f64 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))) 2))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re))))
(exp.f64 (neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 2) 2)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) 4) 4)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (.f64 2 (.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 4)) 8)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(fabs.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))))
(fabs.f64 (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re)))
(fabs.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re)))
(fabs.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.re)
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series55.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	y.re	@	0	(*.f64 (log.f64 x.re) y.re)
1.0ms	y.re	@	inf	(*.f64 (log.f64 x.re) y.re)
0.0ms	x.re	@	inf	(*.f64 (log.f64 x.re) y.re)
0.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.re)
0.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.re)

rewrite228.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational_best-simplify-63`
1004×	`rational_best-4`
1004×	`rational_best-2`
1004×	`rational_best-3`
1004×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	89	11
3	227	11
4	696	11
5	2763	11

Stop Event

1×	node limit

Counts

1 → 31

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 (log.f64 x.re) (*.f64 y.re 1/2)) (*.f64 (log.f64 x.re) (*.f64 y.re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (+.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 1/2)) (*.f64 (log.f64 x.re) (/.f64 y.re 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 1/2)) (*.f64 (log.f64 x.re) (/.f64 y.re 4))) (*.f64 (log.f64 x.re) (/.f64 y.re 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 3)) 4) (*.f64 (log.f64 x.re) (/.f64 y.re 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2)) (*.f64 (log.f64 x.re) (/.f64 y.re 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)))) (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)))))))) (#(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) (+.f64 (/.f64 (*.f64 (log.f64 x.re) y.re) -2) (*.f64 (log.f64 x.re) (*.f64 y.re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 1/2)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (*.f64 -3 (*.f64 (log.f64 x.re) (/.f64 y.re 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 1/2)) (*.f64 (log.f64 x.re) (/.f64 y.re 4))) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 3)) 4) (/.f64 (neg.f64 (*.f64 (log.f64 x.re) y.re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4)))) (-.f64 (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4))) (*.f64 (log.f64 x.re) (/.f64 y.re 4))))))) (#(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 (*.f64 (log.f64 x.re) y.re) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (*.f64 (*.f64 y.re 4) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x.re) 4) (*.f64 (*.f64 y.re 4) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 4)) 8) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y.re 4) 4) (*.f64 (*.f64 (log.f64 x.re) 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (log.f64 x.re) 4) 4) (*.f64 (*.f64 y.re 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 4)) 8) (*.f64 (*.f64 (log.f64 x.re) (*.f64 y.re 4)) 8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (log.f64 x.re) 4) (*.f64 (*.f64 y.re 4) 4)) (*.f64 (*.f64 (log.f64 x.re) 4) (*.f64 (*.f64 y.re 4) 4))) 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))))))

simplify253.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1020×	`rational_best-simplify-48`
944×	`rational_best-simplify-50`
740×	`rational_best-simplify-52`
666×	`rational_best-simplify-63`
612×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1349
1	222	1177
2	538	1033
3	1533	1021

Stop Event

1×	node limit

Counts

55 → 47

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 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (.f64 y.re 1/2)))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (/.f64 y.re 4))))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.re 3)) 4))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2)))
(+.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (/.f64 y.re 4))) (.f64 (log.f64 x.re) (/.f64 y.re 4)))
(+.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.re 3)) 4) (*.f64 (log.f64 x.re) (/.f64 y.re 4)))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (.f64 (log.f64 x.re) y.re) -2)) (*.f64 (log.f64 x.re) (/.f64 y.re 4)))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)))) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)))))
(-.f64 (*.f64 (log.f64 x.re) y.re) 0)
(-.f64 (.f64 (log.f64 x.re) y.re) (+.f64 (/.f64 (.f64 (log.f64 x.re) y.re) -2) (.f64 (log.f64 x.re) (.f64 y.re 1/2))))
(-.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2))
(-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (.f64 -3 (*.f64 (log.f64 x.re) (/.f64 y.re 4))))
(-.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (/.f64 y.re 4))) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4))))
(-.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.re 3)) 4) (/.f64 (neg.f64 (*.f64 (log.f64 x.re) y.re)) 4))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (.f64 (log.f64 x.re) y.re) -2)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4))))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)))) (-.f64 (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4))) (.f64 (log.f64 x.re) (/.f64 y.re 4))))
(/.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 (.f64 (log.f64 x.re) y.re) 8) 8)
(/.f64 (.f64 (log.f64 x.re) (.f64 (*.f64 y.re 4) 4)) 16)
(/.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.re 4) 4)) 64)
(/.f64 (.f64 (.f64 (log.f64 x.re) (*.f64 y.re 4)) 8) 32)
(/.f64 (.f64 (.f64 (.f64 y.re 4) 4) (.f64 (*.f64 (log.f64 x.re) 4) 4)) 256)
(/.f64 (.f64 (.f64 (.f64 (log.f64 x.re) 4) 4) (.f64 (*.f64 y.re 4) 4)) 256)
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 8) (.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 8)) 64)
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.re 4) 4)) (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.re 4) 4))) 128)
(pow.f64 (*.f64 (log.f64 x.re) y.re) 1)
(log.f64 (pow.f64 x.re y.re))

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 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (.f64 (log.f64 (/.f64 1 x.re)) -1))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re))))
(.f64 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 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (.f64 y.re 1/2)))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 y.re (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 x.re))) (.f64 (/.f64 (log.f64 x.re) 4) (+.f64 y.re y.re)))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.re 4) (+.f64 (.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.re 3)) 4))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.re 3)) 4))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (/.f64 (.f64 y.re (*.f64 3 (log.f64 x.re))) 4))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2)))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 y.re (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 x.re))) (.f64 (/.f64 (log.f64 x.re) 4) (+.f64 y.re y.re)))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.re 4) (+.f64 (.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (/.f64 y.re 4))) (.f64 (log.f64 x.re) (/.f64 y.re 4)))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 y.re (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 x.re))) (.f64 (/.f64 (log.f64 x.re) 4) (+.f64 y.re y.re)))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.re 4) (+.f64 (.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.re 3)) 4) (*.f64 (log.f64 x.re) (/.f64 y.re 4)))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.re 3)) 4))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (/.f64 (.f64 y.re (*.f64 3 (log.f64 x.re))) 4))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (.f64 (log.f64 x.re) y.re) -2)) (*.f64 (log.f64 x.re) (/.f64 y.re 4)))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 y.re (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 x.re))) (.f64 (/.f64 (log.f64 x.re) 4) (+.f64 y.re y.re)))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.re 4) (+.f64 (.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)))) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)))))
(+.f64 (-.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))) (-.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))) (.f64 -2 (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))))
(.f64 (.f64 (/.f64 (log.f64 x.re) 4) (neg.f64 y.re)) -4)
(.f64 (.f64 (/.f64 y.re 4) (neg.f64 (log.f64 x.re))) -4)
(-.f64 (*.f64 (log.f64 x.re) y.re) 0)
(*.f64 y.re (log.f64 x.re))
(-.f64 (.f64 (log.f64 x.re) y.re) (+.f64 (/.f64 (.f64 (log.f64 x.re) y.re) -2) (.f64 (log.f64 x.re) (.f64 y.re 1/2))))
(*.f64 y.re (log.f64 x.re))
(-.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (/.f64 (*.f64 (log.f64 x.re) y.re) -2))
(*.f64 y.re (log.f64 x.re))
(-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (.f64 -3 (*.f64 (log.f64 x.re) (/.f64 y.re 4))))
(+.f64 (-.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))) (-.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))) (.f64 -2 (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))))
(.f64 (.f64 (/.f64 (log.f64 x.re) 4) (neg.f64 y.re)) -4)
(.f64 (.f64 (/.f64 y.re 4) (neg.f64 (log.f64 x.re))) -4)
(-.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 (log.f64 x.re) (/.f64 y.re 4))) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 y.re (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 x.re))) (.f64 (/.f64 (log.f64 x.re) 4) (+.f64 y.re y.re)))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.re 4) (+.f64 (.f64 y.re 1/2) (/.f64 y.re 4))))
(-.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.re 3)) 4) (/.f64 (neg.f64 (*.f64 (log.f64 x.re) y.re)) 4))
(*.f64 y.re (log.f64 x.re))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (/.f64 (.f64 (log.f64 x.re) y.re) -2)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.re 1/2)) (.f64 y.re (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.re 1/2) (/.f64 y.re 4))))
(+.f64 (.f64 y.re (log.f64 (sqrt.f64 x.re))) (.f64 (/.f64 (log.f64 x.re) 4) (+.f64 y.re y.re)))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.re 4) (+.f64 (.f64 y.re 1/2) (/.f64 y.re 4))))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4)))) (-.f64 (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.re 4))) (.f64 (log.f64 x.re) (/.f64 y.re 4))))
(+.f64 (-.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))) (-.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))) (.f64 -2 (neg.f64 (.f64 y.re (/.f64 (log.f64 x.re) 4)))))
(.f64 (.f64 (/.f64 (log.f64 x.re) 4) (neg.f64 y.re)) -4)
(.f64 (.f64 (/.f64 y.re 4) (neg.f64 (log.f64 x.re))) -4)
(/.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 (.f64 (log.f64 x.re) y.re) 8) 8)
(*.f64 y.re (log.f64 x.re))
(/.f64 (.f64 (log.f64 x.re) (.f64 (*.f64 y.re 4) 4)) 16)
(*.f64 y.re (log.f64 x.re))
(/.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.re 4) 4)) 64)
(*.f64 y.re (log.f64 x.re))
(/.f64 (.f64 (.f64 (log.f64 x.re) (*.f64 y.re 4)) 8) 32)
(*.f64 y.re (log.f64 x.re))
(/.f64 (.f64 (.f64 (.f64 y.re 4) 4) (.f64 (*.f64 (log.f64 x.re) 4) 4)) 256)
(*.f64 y.re (log.f64 x.re))
(/.f64 (.f64 (.f64 (.f64 (log.f64 x.re) 4) 4) (.f64 (*.f64 y.re 4) 4)) 256)
(*.f64 y.re (log.f64 x.re))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 8) (.f64 (.f64 (log.f64 x.re) (.f64 y.re 4)) 8)) 64)
(*.f64 y.re (log.f64 x.re))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.re 4) 4)) (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.re 4) 4))) 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))

localize124.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series251.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
183.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
39.0ms	x.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
28.0ms	x.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
1.0ms	y.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
0.0ms	y.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)

rewrite239.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`rational_best-4`
1442×	`rational_best-2`
1442×	`rational_best-3`
1442×	`rational_best-1`
1442×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	55	15
2	114	15
3	295	15
4	977	11
5	4688	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify188.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational_best-simplify-48`
1102×	`rational_best-simplify-52`
970×	`rational_best-simplify-51`
966×	`rational_best-simplify-57`
738×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	752
1	175	736
2	445	736
3	1458	736

Stop Event

1×	node limit

Counts

48 → 32

Calls

Call 1

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

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

localize94.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 x.re) y.im)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.0b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series29.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	y.im	@	0	(*.f64 (log.f64 x.re) y.im)
0.0ms	y.im	@	inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	y.im	@	-inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.im)

rewrite275.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational_best-simplify-63`
1004×	`rational_best-4`
1004×	`rational_best-2`
1004×	`rational_best-3`
1004×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	89	11
3	227	11
4	696	11
5	2763	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 1/2)) (*.f64 (log.f64 x.re) (*.f64 y.im 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (+.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 1/2)) (*.f64 (log.f64 x.re) (/.f64 y.im 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 1/2)) (*.f64 (log.f64 x.re) (/.f64 y.im 4))) (*.f64 (log.f64 x.re) (/.f64 y.im 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 3)) 4) (*.f64 (log.f64 x.re) (/.f64 y.im 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2)) (*.f64 (log.f64 x.re) (/.f64 y.im 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)))) (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) y.im) (+.f64 (/.f64 (*.f64 (log.f64 x.re) y.im) -2) (*.f64 (log.f64 x.re) (*.f64 y.im 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 1/2)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (*.f64 -3 (*.f64 (log.f64 x.re) (/.f64 y.im 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 1/2)) (*.f64 (log.f64 x.re) (/.f64 y.im 4))) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 3)) 4) (/.f64 (neg.f64 (*.f64 (log.f64 x.re) y.im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4)))) (-.f64 (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4))) (*.f64 (log.f64 x.re) (/.f64 y.im 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (+.f64 y.im y.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x.re) y.im) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.re) (*.f64 (*.f64 y.im 4) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x.re) 4) (*.f64 (*.f64 y.im 4) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 4)) 8) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y.im 4) 4) (*.f64 (*.f64 (log.f64 x.re) 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (log.f64 x.re) 4) 4) (*.f64 (*.f64 y.im 4) 4)) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 4)) 8) (*.f64 (*.f64 (log.f64 x.re) (*.f64 y.im 4)) 8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (log.f64 x.re) 4) (*.f64 (*.f64 y.im 4) 4)) (*.f64 (*.f64 (log.f64 x.re) 4) (*.f64 (*.f64 y.im 4) 4))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x.re) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x.re y.im))))))

simplify151.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational_best-simplify-48`
944×	`rational_best-simplify-50`
772×	`rational_best-simplify-52`
682×	`rational_best-simplify-63`
626×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1173
1	222	1001
2	537	857
3	1536	845

Stop Event

1×	node limit

Counts

39 → 47

Calls

Call 1

Inputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (*.f64 (log.f64 x.re) y.im) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.im))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (.f64 y.im 1/2)))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (/.f64 y.im 4))))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.im 3)) 4))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2)))
(+.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (/.f64 y.im 4))) (.f64 (log.f64 x.re) (/.f64 y.im 4)))
(+.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.im 3)) 4) (*.f64 (log.f64 x.re) (/.f64 y.im 4)))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (.f64 (log.f64 x.re) y.im) -2)) (*.f64 (log.f64 x.re) (/.f64 y.im 4)))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)))) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)))))
(-.f64 (*.f64 (log.f64 x.re) y.im) 0)
(-.f64 (.f64 (log.f64 x.re) y.im) (+.f64 (/.f64 (.f64 (log.f64 x.re) y.im) -2) (.f64 (log.f64 x.re) (.f64 y.im 1/2))))
(-.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2))
(-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (.f64 -3 (*.f64 (log.f64 x.re) (/.f64 y.im 4))))
(-.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (/.f64 y.im 4))) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4))))
(-.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.im 3)) 4) (/.f64 (neg.f64 (*.f64 (log.f64 x.re) y.im)) 4))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (.f64 (log.f64 x.re) y.im) -2)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4))))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)))) (-.f64 (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4))) (.f64 (log.f64 x.re) (/.f64 y.im 4))))
(/.f64 (*.f64 (log.f64 x.re) y.im) 1)
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.im y.im)) 2)
(/.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 4)
(/.f64 (.f64 (.f64 (log.f64 x.re) y.im) 8) 8)
(/.f64 (.f64 (log.f64 x.re) (.f64 (*.f64 y.im 4) 4)) 16)
(/.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.im 4) 4)) 64)
(/.f64 (.f64 (.f64 (log.f64 x.re) (*.f64 y.im 4)) 8) 32)
(/.f64 (.f64 (.f64 (.f64 y.im 4) 4) (.f64 (*.f64 (log.f64 x.re) 4) 4)) 256)
(/.f64 (.f64 (.f64 (.f64 (log.f64 x.re) 4) 4) (.f64 (*.f64 y.im 4) 4)) 256)
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 8) (.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 8)) 64)
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.im 4) 4)) (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.im 4) 4))) 128)
(pow.f64 (*.f64 (log.f64 x.re) y.im) 1)
(log.f64 (pow.f64 x.re y.im))

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.re)))))
(+.f64 (*.f64 (log.f64 x.re) y.im) 0)
(*.f64 y.im (log.f64 x.re))
(+.f64 0 (*.f64 (log.f64 x.re) y.im))
(*.f64 y.im (log.f64 x.re))
(+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (.f64 y.im 1/2)))
(*.f64 y.im (log.f64 x.re))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 y.im (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 (*.f64 y.im (/.f64 (log.f64 x.re) 4)) 2))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.im 4) (+.f64 (.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.im 3)) 4))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.im 3)) 4))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (.f64 -3 (/.f64 (*.f64 y.im (log.f64 x.re)) -4)))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2)))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 y.im (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 (*.f64 y.im (/.f64 (log.f64 x.re) 4)) 2))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.im 4) (+.f64 (.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (/.f64 y.im 4))) (.f64 (log.f64 x.re) (/.f64 y.im 4)))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 y.im (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 (*.f64 y.im (/.f64 (log.f64 x.re) 4)) 2))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.im 4) (+.f64 (.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.im 3)) 4) (*.f64 (log.f64 x.re) (/.f64 y.im 4)))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (/.f64 (.f64 (log.f64 x.re) (*.f64 y.im 3)) 4))
(+.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (.f64 -3 (/.f64 (*.f64 y.im (log.f64 x.re)) -4)))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (.f64 (log.f64 x.re) y.im) -2)) (*.f64 (log.f64 x.re) (/.f64 y.im 4)))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 y.im (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 (*.f64 y.im (/.f64 (log.f64 x.re) 4)) 2))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.im 4) (+.f64 (.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)))) (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)))))
(+.f64 (-.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))) (-.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))) (.f64 -2 (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))))
(.f64 (.f64 (/.f64 (log.f64 x.re) 4) (neg.f64 y.im)) -4)
(.f64 (.f64 (log.f64 x.re) (neg.f64 (/.f64 y.im 4))) -4)
(-.f64 (*.f64 (log.f64 x.re) y.im) 0)
(*.f64 y.im (log.f64 x.re))
(-.f64 (.f64 (log.f64 x.re) y.im) (+.f64 (/.f64 (.f64 (log.f64 x.re) y.im) -2) (.f64 (log.f64 x.re) (.f64 y.im 1/2))))
(*.f64 y.im (log.f64 x.re))
(-.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (/.f64 (*.f64 (log.f64 x.re) y.im) -2))
(*.f64 y.im (log.f64 x.re))
(-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (.f64 -3 (*.f64 (log.f64 x.re) (/.f64 y.im 4))))
(+.f64 (-.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))) (-.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))) (.f64 -2 (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))))
(.f64 (.f64 (/.f64 (log.f64 x.re) 4) (neg.f64 y.im)) -4)
(.f64 (.f64 (log.f64 x.re) (neg.f64 (/.f64 y.im 4))) -4)
(-.f64 (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 (log.f64 x.re) (/.f64 y.im 4))) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 y.im (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 (*.f64 y.im (/.f64 (log.f64 x.re) 4)) 2))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.im 4) (+.f64 (.f64 y.im 1/2) (/.f64 y.im 4))))
(-.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.im 3)) 4) (/.f64 (neg.f64 (*.f64 (log.f64 x.re) y.im)) 4))
(*.f64 y.im (log.f64 x.re))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (/.f64 (.f64 (log.f64 x.re) y.im) -2)) (neg.f64 (*.f64 (log.f64 x.re) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (+.f64 (.f64 (log.f64 x.re) (.f64 y.im 1/2)) (.f64 y.im (/.f64 (log.f64 x.re) 4))))
(+.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (.f64 (log.f64 x.re) (+.f64 (*.f64 y.im 1/2) (/.f64 y.im 4))))
(+.f64 (.f64 y.im (log.f64 (sqrt.f64 x.re))) (.f64 (*.f64 y.im (/.f64 (log.f64 x.re) 4)) 2))
(.f64 (log.f64 x.re) (+.f64 (/.f64 y.im 4) (+.f64 (.f64 y.im 1/2) (/.f64 y.im 4))))
(-.f64 (-.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)) (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4)))) (-.f64 (neg.f64 (.f64 (log.f64 x.re) (/.f64 y.im 4))) (.f64 (log.f64 x.re) (/.f64 y.im 4))))
(+.f64 (-.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))) (-.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)) (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))))
(+.f64 (.f64 -2 (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))) (.f64 -2 (neg.f64 (.f64 y.im (/.f64 (log.f64 x.re) 4)))))
(.f64 (.f64 (/.f64 (log.f64 x.re) 4) (neg.f64 y.im)) -4)
(.f64 (.f64 (log.f64 x.re) (neg.f64 (/.f64 y.im 4))) -4)
(/.f64 (*.f64 (log.f64 x.re) y.im) 1)
(*.f64 y.im (log.f64 x.re))
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.im y.im)) 2)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 4)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (.f64 (log.f64 x.re) y.im) 8) 8)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (log.f64 x.re) (.f64 (*.f64 y.im 4) 4)) 16)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.im 4) 4)) 64)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (.f64 (log.f64 x.re) (*.f64 y.im 4)) 8) 32)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (.f64 (.f64 y.im 4) 4) (.f64 (*.f64 (log.f64 x.re) 4) 4)) 256)
(*.f64 y.im (log.f64 x.re))
(/.f64 (.f64 (.f64 (.f64 (log.f64 x.re) 4) 4) (.f64 (*.f64 y.im 4) 4)) 256)
(*.f64 y.im (log.f64 x.re))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 8) (.f64 (.f64 (log.f64 x.re) (.f64 y.im 4)) 8)) 64)
(*.f64 y.im (log.f64 x.re))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.im 4) 4)) (.f64 (.f64 (log.f64 x.re) 4) (.f64 (.f64 y.im 4) 4))) 128)
(*.f64 y.im (log.f64 x.re))
(pow.f64 (*.f64 (log.f64 x.re) y.im) 1)
(*.f64 y.im (log.f64 x.re))
(log.f64 (pow.f64 x.re y.im))

eval1.7s (2.4%)

Compiler: Compiled 42876 to 17297 computations (59.7% saved)

prune2.6s (3.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1143	12	1155
Fresh	1	6	7
Picked	1	0	1
Done	3	1	4
Total	1148	19	1167

Error

2.2b

Counts

1167 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	25.2b	(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
▶	18.1b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 8) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	38.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)) (+.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (log.f64 x.im) y.im))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (log.f64 x.im) y.im)) (-.f64 (/.f64 (PI.f64) 2) (*.f64 (atan2.f64 x.im x.re) y.re)))))) 2))
	54.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (/.f64 -1/2 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	48.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
▶	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
✓	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	36.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	39.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	39.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)) (+.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (log.f64 x.re) y.im))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (log.f64 x.re) y.im)) (-.f64 (/.f64 (PI.f64) 2) (*.f64 (atan2.f64 x.im x.re) y.re)))))) 2))
	36.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 1 (neg.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) -1))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (+.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.im 3)) 4) (.f64 (log.f64 x.re) (/.f64 y.im 4))) (*.f64 (atan2.f64 x.im x.re) y.re))))
	51.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	36.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	34.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	21.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 1097 to 686 computations (37.5% saved)

localize127.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 8) (*.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.3b	(.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.9b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 133 to 45 computations (66.2% saved)

series121.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
73.0ms	y.re	@	0	(.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4))
22.0ms	y.im	@	0	(exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 8) (*.f64 (atan2.f64 x.im x.re) y.im)))
9.0ms	x.im	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	x.re	@	0	(exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 8) (*.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	x.im	@	0	(exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 8) (*.f64 (atan2.f64 x.im x.re) y.im)))

rewrite361.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational_best-simplify-63`
1276×	`rational_best-4`
1276×	`rational_best-2`
1276×	`rational_best-3`
1276×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	121
1	136	121
2	294	121
3	895	115
4	3425	115

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs

(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))) (*.f64 y.re 4))

(exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 4)) 8) (*.f64 (atan2.f64 x.im x.re) y.im)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2) (/.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2))))) (#(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 (/.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2) (/.f64 (neg.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 (+.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 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) 8) 8)))) (#(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))) (*.f64 y.re 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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))) (*.f64 y.re 12)) 4))))) (#(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)) (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (+.f64 y.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 12)) 4) (*.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))) (*.f64 y.re 4)) 0)))) (#(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)) (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 y.re 12)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) y.re) -1/4) 4))))) (#(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)) 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 8)) 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 16)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 8 (*.f64 y.re 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (*.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))) (*.f64 y.re 4)) 1)))) (#(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 4)))))))

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

simplify593.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational_best-simplify-48`
1210×	`rational_best-simplify-51`
1174×	`rational_best-simplify-1`
1040×	`rational_best-simplify-50`
792×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	436	12984
1	1148	12752
2	2636	12394
3	6220	12328

Stop Event

1×	node limit

Counts

162 → 352

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 4 (.f64 (log.f64 (pow.f64 x.im 2)) y.re))
(+.f64 (.f64 4 (.f64 (log.f64 (pow.f64 x.im 2)) y.re)) (.f64 4 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 4 (.f64 (log.f64 (pow.f64 x.im 2)) y.re)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 -2 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4)))))
(+.f64 (.f64 4 (.f64 (log.f64 (pow.f64 x.im 2)) y.re)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))) (.f64 -2 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))))))
(.f64 -8 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(+.f64 (.f64 -8 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 -8 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (+.f64 (.f64 -2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2)))))
(+.f64 (.f64 4/3 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (+.f64 (.f64 -8 (.f64 (log.f64 (/.f64 1 x.re)) y.re)) (+.f64 (.f64 -2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))))
(.f64 -8 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(+.f64 (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -8 (.f64 y.re (log.f64 (/.f64 -1 x.re)))))
(+.f64 (.f64 -2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -8 (.f64 y.re (log.f64 (/.f64 -1 x.re))))))
(+.f64 (.f64 4/3 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (+.f64 (.f64 -2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (+.f64 (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -8 (.f64 y.re (log.f64 (/.f64 -1 x.re)))))))
(.f64 4 (.f64 y.re (log.f64 (pow.f64 x.re 2))))
(+.f64 (.f64 4 (.f64 y.re (log.f64 (pow.f64 x.re 2)))) (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
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(+.f64 (.f64 4/3 (/.f64 (.f64 y.re (pow.f64 x.im 6)) (pow.f64 x.re 6))) (+.f64 (.f64 4 (.f64 y.re (log.f64 (pow.f64 x.re 2)))) (+.f64 (.f64 -2 (/.f64 (.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4))) (.f64 4 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))))
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(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)))
(+.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 -1 (.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 (atan2.f64 x.im x.re) y.im)))))
(+.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (pow.f64 y.im 3)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (.f64 (pow.f64 (atan2.f64 x.im x.re) 2) (pow.f64 y.im 2)))) (.f64 -1 (.f64 (exp.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 1/2 (.f64 (log.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(+.f64 0 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(+.f64 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(-.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(-.f64 (/.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) (/.f64 (neg.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2))
(.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(.f64 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))) 4) 1/4)
(.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 1/2)
(.f64 1/2 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(.f64 1/4 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4))
(/.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))) 4) 4)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 8) 8)
(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))) (.f64 y.re 4)) 0)
(+.f64 0 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)))
(+.f64 (.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))) (*.f64 y.re 12)) 4))
(+.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (+.f64 y.re y.re)) (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (+.f64 y.re y.re)))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 12)) 4) (.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))) (.f64 y.re 4)) 0)
(-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (+.f64 y.re y.re)) (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) -1/2))
(-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 12)) 4) (/.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) -1/4) 4))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 4)) 1)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 8)) 2)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 16)) 4)
(/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 8 (*.f64 y.re 4))) 8)
(/.f64 (.f64 16 (.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))) (.f64 y.re 4)) 1)
(log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (*.f64 y.re 4)))
(+.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(+.f64 0 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))))
(+.f64 (/.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (/.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im))) 2))
(-.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 0)
(-.f64 (/.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im))) 2) (/.f64 (neg.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im)))) 2))
(.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 1 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 2) 1/2)
(.f64 1/2 (.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 2))
(.f64 (.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 4) 1/4)
(.f64 (exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2)) (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))) (exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2)))
(.f64 1/4 (.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 4))
(.f64 (exp.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 4)) (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 4) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 4) (.f64 (atan2.f64 x.im x.re) y.im))) (exp.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 4)))
(.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 4) (/.f64 (.f64 (atan2.f64 x.im x.re) y.im) 2))) (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 4) (/.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 2))))
(/.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(/.f64 1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) y.re) 1/2))))
(/.f64 (.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im))) 2) 2)
(/.f64 (.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (.f64 (atan2.f64 x.im x.re) y.im))) 4) 4)
(/.f64 (.f64 2 (.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 4)) 8)
(pow.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
(fabs.f64 (exp.f64 (-.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2) (*.f64 (atan2.f64 x.im x.re) y.im))))

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

localize34.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
✓	3.0b	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series33.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	y.im	@	0	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
14.0ms	x.im	@	inf	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
1.0ms	x.re	@	inf	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
0.0ms	x.im	@	0	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
0.0ms	x.im	@	-inf	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))

rewrite354.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`rational_best-2`
1834×	`rational_best-3`
1834×	`rational_best-1`
534×	`rational_best-simplify-55`
516×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	67	38
2	141	38
3	391	38
4	1310	38
5	6244	38

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify336.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational_best-simplify-75`
1230×	`rational_best-simplify-1`
626×	`rational_best-simplify-3`
618×	`rational_best-simplify-56`
502×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	2674
1	425	2662
2	1221	2662
3	4434	2662

Stop Event

1×	node limit

Counts

134 → 85

Calls

Call 1

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

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

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.1b	(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)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 64 to 14 computations (78.1% saved)

series35.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
27.0ms	x.im	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	y.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
1.0ms	y.im	@	0	(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	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))

rewrite167.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`rational_best-simplify-47`
754×	`rational_best-simplify-51`
706×	`rational_best-simplify-57`
704×	`rational_best-simplify-63`
696×	`rational_best-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	92	70
2	181	70
3	511	70
4	1849	66

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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simplify578.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

942×	`rational_best-simplify-50`
784×	`rational_best-simplify-49`
728×	`rational_best-simplify-47`
616×	`rational_best-simplify-53`
600×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	7723
1	737	7329
2	1845	7193
3	7469	7193

Stop Event

1×	node limit

Counts

189 → 168

Calls

Call 1

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

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

localize91.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 1 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 113 to 27 computations (76.1% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite232.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational_best-simplify-51`
680×	`rational_best-simplify-47`
666×	`rational_best-2`
666×	`rational_best-3`
666×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	78	23
2	153	23
3	447	23
4	1674	23

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify289.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1108×	`rational_best-simplify-65`
968×	`rational_best-simplify-3`
802×	`rational_best-simplify-50`
712×	`rational_best-simplify-64`
710×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	2343
1	334	2267
2	755	2159
3	2287	2133

Stop Event

1×	node limit

Counts

77 → 64

Calls

Call 1

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

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

localize204.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.9b	(/.f64 (pow.f64 x.re 2) x.im)
✓	9.0b	(log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
✓	12.1b	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 185 to 66 computations (64.3% saved)

series30.0ms (0%)

Counts

2 → 52

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	x.re	@	0	(log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
2.0ms	x.re	@	inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
2.0ms	x.im	@	inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
2.0ms	x.im	@	-inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
2.0ms	x.im	@	0	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))

rewrite256.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational_best-2`
1184×	`rational_best-3`
1184×	`rational_best-1`
1182×	`rational_best-4`
1182×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	99	68
2	210	68
3	647	68
4	2812	68

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
(log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))

Outputs

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

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

simplify677.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1002×	`rational_best-simplify-1`
894×	`rational_best-simplify-56`
834×	`rational_best-simplify-47`
754×	`rational_best-simplify-55`
686×	`rational_best-simplify-108`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	399	9749
1	1052	9599
2	2569	9299
3	7163	9291

Stop Event

1×	node limit

Counts

113 → 243

Calls

Call 1

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

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

eval2.5s (3.5%)

Compiler: Compiled 51542 to 26854 computations (47.9% saved)

prune2.5s (3.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1267	13	1280
Fresh	2	11	13
Picked	1	0	1
Done	3	2	5
Total	1273	26	1299

Error

2.2b

Counts

1299 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	25.2b	(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
	38.2b	(*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)
	18.1b	(.f64 (/.f64 1 (exp.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re) 1/2)))) 1)
	21.7b	(.f64 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	38.5b	(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
	24.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.re 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	26.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.im 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	18.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	38.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (log.f64 x.im) y.im)) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)) (+.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (log.f64 x.im) y.im))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (log.f64 x.im) y.im)) (-.f64 (/.f64 (PI.f64) 2) (*.f64 (atan2.f64 x.im x.re) y.re)))))) 2))
	54.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x.re))) (log.f64 (neg.f64 (/.f64 1/2 x.im)))) y.im)))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 -1 (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 -1 (+.f64 -1/2 (/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (+.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 3)) 2))))
✓	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	39.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	39.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	37.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (log.f64 x.re) y.im)) (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2)) (+.f64 (cos.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 (log.f64 x.re) y.im))) (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 (log.f64 x.re) y.im)) (-.f64 (/.f64 (PI.f64) 2) (*.f64 (atan2.f64 x.im x.re) y.re)))))) 2))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (+.f64 (/.f64 (.f64 (log.f64 x.re) (.f64 y.im 3)) 4) (.f64 (log.f64 x.re) (/.f64 y.im 4))) (*.f64 (atan2.f64 x.im x.re) y.re))))
	51.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	56.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
	36.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	34.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	21.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	46.4b	(.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.re)))) 1)
	38.4b	(*.f64 1 1)

Compiler

Compiled 661 to 432 computations (34.6% saved)

regimes4.0s (5.5%)

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

1.2s	x.im
1.2s	x.re
769.0ms	y.im
702.0ms	y.re
32.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
6.2b	5	`x.re`
6.1b	7	`x.im`
3.6b	3	`y.re`
14.0b	5	`y.im`
12.1b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1125 to 341 computations (69.7% saved)

bsearch292.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	2.0396973824916556e-41	2.6041349202792193e-39
193.0ms	-2.689120466030369e-11	-1.7720787376121134e-11

Results

237.0ms	162×	body	256	valid
17.0ms	2×	body	512	infinite
7.0ms	7×	body	1024	valid
4.0ms	6×	body	512	valid
2.0ms	2×	body	1024	infinite
2.0ms	1×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 496 to 357 computations (28% saved)

regimes1.6s (2.3%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

610.0ms	x.im
417.0ms	y.im
285.0ms	x.re
268.0ms	y.re

Results

Error	Segments	Branch
6.3b	5	`x.re`
6.2b	7	`x.im`
3.6b	3	`y.re`
14.0b	5	`y.im`

Compiler

Compiled 542 to 188 computations (65.3% saved)

bsearch197.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
152.0ms	2.0396973824916556e-41	2.6041349202792193e-39
44.0ms	-2.689120466030369e-11	-1.7720787376121134e-11

Results

153.0ms	158×	body	256	valid
19.0ms	3×	body	256	infinite
12.0ms	12×	body	1024	valid
4.0ms	6×	body	512	valid
2.0ms	2×	body	1024	infinite
2.0ms	3×	body	512	infinite

Compiler

Compiled 476 to 337 computations (29.2% saved)

regimes1.7s (2.3%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

734.0ms	x.im
481.0ms	y.im
330.0ms	x.re
109.0ms	y.re

Results

Error	Segments	Branch
6.3b	5	`x.re`
6.2b	7	`x.im`
3.8b	3	`y.re`
14.2b	5	`y.im`

Compiler

Compiled 489 to 181 computations (63% saved)

bsearch146.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	2.0396973824916556e-41	2.6041349202792193e-39
43.0ms	-2.689120466030369e-11	-1.7720787376121134e-11

Results

99.0ms	163×	body	256	valid
21.0ms	1×	body	1024	infinite
9.0ms	9×	body	1024	valid
7.0ms	2×	body	2048	valid
3.0ms	4×	body	512	infinite
1.0ms	2×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 460 to 337 computations (26.7% saved)

regimes785.0ms (1.1%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

201.0ms	x.im
164.0ms	y.im
158.0ms	x.re
130.0ms	y.re

Results

Error	Segments	Branch
6.5b	5	`x.re`
6.5b	7	`x.im`
4.0b	3	`y.re`
14.2b	5	`y.im`

Compiler

Compiled 219 to 121 computations (44.7% saved)

bsearch815.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
748.0ms	6.000109404853017e+41	1.4373856346139683e+156
66.0ms	-2.689120466030369e-11	-1.7720787376121134e-11

Results

533.0ms	264×	body	256	valid
138.0ms	217×	body	256	infinite
70.0ms	21×	body	1024	infinite
48.0ms	37×	body	512	infinite
9.0ms	5×	body	1024	valid
2.0ms	3×	body	512	valid

Compiler

Compiled 676 to 505 computations (25.3% saved)

regimes1.2s (1.6%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

459.0ms	x.im
369.0ms	y.im
189.0ms	x.re
135.0ms	y.re

Results

Error	Segments	Branch
6.5b	5	`x.re`
6.5b	7	`x.im`
4.3b	3	`y.re`
14.2b	5	`y.im`

Compiler

Compiled 202 to 111 computations (45% saved)

bsearch615.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
533.0ms	6.000109404853017e+41	1.4373856346139683e+156
82.0ms	-2.689120466030369e-11	-1.7720787376121134e-11

Results

259.0ms	269×	body	256	valid
217.0ms	222×	body	256	infinite
85.0ms	31×	body	512	infinite
35.0ms	22×	body	1024	infinite
1.0ms	2×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 728 to 518 computations (28.8% saved)

regimes438.0ms (0.6%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

4 calls:

228.0ms	x.im
68.0ms	y.im
62.0ms	x.re
57.0ms	y.re

Results

Error	Segments	Branch
9.7b	2	`x.re`
9.0b	4	`x.im`
13.3b	2	`y.re`
20.0b	3	`y.im`

Compiler

Compiled 123 to 73 computations (40.7% saved)

bsearch531.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
224.0ms	-3.6275895084778435e-305	4.352479760284176e-305
124.0ms	-9.149154949667555e-128	-5.714348823082963e-130
183.0ms	-1.531347548330897e-81	-2.833516095589508e-85

Results

267.0ms	364×	body	256	valid
165.0ms	62×	body	1024	infinite
48.0ms	33×	body	512	infinite
29.0ms	13×	body	1024	valid
7.0ms	20×	body	256	infinite
4.0ms	7×	body	512	valid
1.0ms	1×	body	2048	infinite

Compiler

Compiled 831 to 613 computations (26.2% saved)

regimes281.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

94.0ms	x.im
80.0ms	y.re
61.0ms	y.im
35.0ms	x.re

Results

Error	Segments	Branch
14.5b	2	`x.re`
13.4b	4	`x.im`
13.3b	2	`y.re`
20.0b	3	`y.im`

Compiler

Compiled 95 to 61 computations (35.8% saved)

bsearch79.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
79.0ms	-4.13909141072001e+57	-2.107633505852741e+57

Results

28.0ms	64×	body	256	valid
17.0ms	4×	body	1024	infinite
6.0ms	19×	body	256	infinite
2.0ms	3×	body	512	infinite

Compiler

Compiled 148 to 105 computations (29.1% saved)

regimes249.0ms (0.3%)

Accuracy

Total -27.3b remaining (-109.3%)

Threshold costs -27.3b (-109.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	x.im
65.0ms	y.im
51.0ms	x.re
47.0ms	y.re

Results

Error	Segments	Branch
30.2b	5	`x.re`
32.0b	7	`x.im`
25.0b	3	`y.re`
31.8b	5	`y.im`

Compiler

Compiled 50 to 38 computations (24% saved)

bsearch328.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
256.0ms	620713667.3439965	1.1740825806079299e+20
71.0ms	-2.689120466030369e-11	-1.7720787376121134e-11

Results

143.0ms	217×	body	256	valid
138.0ms	176×	body	256	infinite
20.0ms	4×	body	1024	valid
11.0ms	11×	body	1024	infinite
7.0ms	11×	body	512	infinite
2.0ms	1×	body	2048	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 314 to 263 computations (16.2% saved)

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1127

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -2050338190066411/77371252455336267181195264) (.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 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (if (<=.f64 y.re 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.re 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7737125245533627/309485009821345068724781056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.re 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -2050338190066411/77371252455336267181195264) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.re 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7891867750444299/309485009821345068724781056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 449999999999999959383614724858809976905065636837345328103424) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.im 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7118155225890937/309485009821345068724781056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 779999999999999939070502844282243788046336) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.im -5686851884435831/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.im -548744862360233/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 y.re -2200000000000000071517808281513951267912908859946066509824) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1))
(if (<=.f64 y.re -2011652563838743/77371252455336267181195264) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 640000000) (.f64 1 1) (*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(*.f64 1 1)

Outputs
(if (<=.f64 y.re -2050338190066411/77371252455336267181195264) (.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 -1 (-.f64 1 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (if (<=.f64 y.re 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.re 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7737125245533627/309485009821345068724781056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.re 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -2050338190066411/77371252455336267181195264) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.re 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7891867750444299/309485009821345068724781056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 449999999999999959383614724858809976905065636837345328103424) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 x.im 2)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7118155225890937/309485009821345068724781056) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 779999999999999939070502844282243788046336) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.im -5686851884435831/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.im -548744862360233/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 y.re -2200000000000000071517808281513951267912908859946066509824) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1))
(if (<=.f64 y.re -2011652563838743/77371252455336267181195264) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 640000000) (.f64 1 1) (*.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(if (<=.f64 y.re -2011652563838743/77371252455336267181195264) (.f64 (pow.f64 (neg.f64 x.re) y.re) 1) (if (<=.f64 y.re 640000000) 1 (.f64 (pow.f64 (neg.f64 x.re) y.re) 1)))
(*.f64 1 1)
1

Compiler

Compiled 428 to 265 computations (38.1% saved)

soundness748.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1278×	`rational_best-simplify-48`
1210×	`rational_best-simplify-51`
1174×	`rational_best-simplify-1`
1040×	`rational_best-simplify-50`
918×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	374	10469
1	986	10341
2	2193	10131
3	4747	10037
0	436	12984
1	1148	12752
2	2636	12394
3	6220	12328

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 100 to 63 computations (37% saved)

end506.0ms (0.7%)

Compiler: Compiled 396 to 182 computations (54% saved)