Details

analyze438.0ms (2.2%)

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)

sample4.5s (22.6%)

Results

1.8s	2498×	body	1024	infinite
1.7s	7923×	body	256	valid
470.0ms	1023×	body	512	infinite
260.0ms	1055×	body	256	infinite
108.0ms	177×	body	1024	valid
62.0ms	140×	body	512	valid
41.0ms	43×	body	2048	infinite
18.0ms	16×	body	2048	valid

Bogosity

preprocess159.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

5292×	`rational.json-simplify-14`
1722×	`rational.json-simplify-21`
1276×	`rational.json-simplify-51`
1132×	`rational.json-simplify-41`
1128×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	164	805
2	232	805
3	347	805
4	699	805
5	1542	805
6	3158	805
7	4597	805
8	4933	805
9	5055	805
10	5055	805
11	7602	805
12	7602	805
13	7602	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)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

5558×	`rational.json-simplify-41`
3048×	`rational.json-simplify-51`
1576×	`rational.json-simplify-13`
888×	`rational.json-simplify-35`
688×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	34	115
2	48	115
3	68	115
4	126	115
5	252	115
6	639	115
7	1373	115
8	3923	115
9	5573	115
10	5695	115
11	5709	115
12	5709	115
13	7053	115
14	7053	115
15	7053	115

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.9b

Counts

3 → 1

Alt Table

Click to see full alt table

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

▶

32.9b

(*.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))) (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)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	31.2b	(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)

series23.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	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)))
3.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	-inf	(*.f64 (atan2.f64 x.im x.re) y.im)

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`rational.json-1`
740×	`rational.json-2`
740×	`rational.json-4`
740×	`rational.json-3`
570×	`rational.json-simplify-25`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	99	104
2	295	104
3	1586	104

Stop Event

1×	node limit

Counts

4 → 256

Calls

Call 1

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

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

simplify234.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1144×	`rational.json-simplify-39`
818×	`rational.json-simplify-3`
592×	`rational.json-simplify-15`
588×	`rational.json-simplify-51`
518×	`rational.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	786	16222
1	2496	15534

Stop Event

1×	node limit

Counts

376 → 429

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

eval524.0ms (2.6%)

Compiler: Compiled 27460 to 7707 computations (71.9% saved)

prune238.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	497	11	508
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	498	11	509

Error

21.8b

Counts

509 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) 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))))
	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	33.0b	(.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))) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 2) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	40.8b	(.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 (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))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 2)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (neg.f64 y.im))))))
	45.6b	(.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 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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) (-.f64 (.f64 2 (+.f64 y.re y.re)) (*.f64 y.re 3))))))
	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))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	22.6b	(.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 y.re (atan2.f64 x.im x.re))))
	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 1/2 (-.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im 3)) (.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))))
▶	51.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 1008 to 554 computations (45% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.9b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series4.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite157.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`rational.json-1`
1128×	`rational.json-2`
1128×	`rational.json-4`
1128×	`rational.json-3`
968×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	48	30
2	137	30
3	631	30
4	3999	30

Stop Event

1×	node limit

Counts

2 → 177

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

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simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-36`
1490×	`rational.json-simplify-37`
622×	`rational.json-simplify-51`
440×	`rational.json-simplify-55`
362×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	378	4051
1	1243	3729
2	5763	3729

Stop Event

1×	node limit

Counts

181 → 214

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))))
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(-.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (neg.f64 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 2)))))
(-.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (-.f64 (-.f64 y.re y.re) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 2)))))
(-.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (-.f64 (.f64 (atan2.f64 x.im x.re) 0) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))))
(-.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (/.f64 (.f64 (atan2.f64 x.im x.re) 2) (/.f64 -1 y.re))))
(-.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (/.f64 (+.f64 y.re y.re) (/.f64 -1 (atan2.f64 x.im x.re)))))
(-.f64 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 -1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))))
(-.f64 (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3)))
(-.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))
(-.f64 (-.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) (neg.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3)))
(-.f64 (+.f64 (-.f64 y.re y.re) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3)))
(-.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) 0) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3)))
(-.f64 (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 0)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 0))) (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (.f64 y.re (.f64 (.f64 (atan2.f64 x.im x.re) 2) 2)) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3)))
(-.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 y.re 3))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3)))
(-.f64 (.f64 1/2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/2))
(-.f64 (+.f64 (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (+.f64 (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3))))
(-.f64 (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))))
(-.f64 (+.f64 (.f64 0 (-.f64 (atan2.f64 x.im x.re) y.re)) (.f64 0 (-.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (+.f64 (-.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) (neg.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) (-.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) (neg.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2))))) (+.f64 (-.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) (neg.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))))
(-.f64 (+.f64 (+.f64 (-.f64 y.re y.re) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (+.f64 (-.f64 y.re y.re) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2))) (+.f64 (+.f64 (-.f64 y.re y.re) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3))))
(-.f64 (+.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) 0) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (+.f64 (.f64 (atan2.f64 x.im x.re) 0) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2))) (+.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) 0) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))))
(-.f64 (+.f64 (.f64 y.re (.f64 (.f64 (atan2.f64 x.im x.re) 2) 2)) (.f64 y.re (.f64 (.f64 (atan2.f64 x.im x.re) 2) 2))) (+.f64 (.f64 y.re (.f64 (.f64 (atan2.f64 x.im x.re) 2) 2)) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3))))
(-.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 y.re 3))) (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 y.re 3)))) (+.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re (.f64 y.re 3))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))))
(-.f64 (+.f64 (.f64 1/2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))) (.f64 1/2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3)))) (+.f64 (.f64 1/2 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3))) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (+.f64 (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2))) (+.f64 (+.f64 (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2) (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)) (+.f64 (.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3)))))
(/.f64 y.re (/.f64 1 (atan2.f64 x.im x.re)))
(/.f64 (atan2.f64 x.im x.re) (/.f64 1 y.re))
(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(/.f64 1 (/.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 -1 (/.f64 1 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))
(/.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) -1)
(/.f64 (neg.f64 (atan2.f64 x.im x.re)) (/.f64 -1 y.re))
(/.f64 (neg.f64 (atan2.f64 x.im x.re)) (-.f64 (/.f64 1 y.re) (/.f64 (/.f64 1 y.re) 1/2)))
(/.f64 (neg.f64 y.re) (/.f64 -1 (atan2.f64 x.im x.re)))
(/.f64 (neg.f64 y.re) (-.f64 (/.f64 1 (atan2.f64 x.im x.re)) (/.f64 (/.f64 1 (atan2.f64 x.im x.re)) 1/2)))
(/.f64 (*.f64 (atan2.f64 x.im x.re) 2) (/.f64 (/.f64 1 y.re) 1/2))
(/.f64 (+.f64 y.re y.re) (/.f64 (/.f64 1 (atan2.f64 x.im x.re)) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (atan2.f64 x.im x.re)) y.re))
(/.f64 1/2 (/.f64 (/.f64 1/2 y.re) (atan2.f64 x.im x.re)))
(/.f64 1/2 (/.f64 (/.f64 1 y.re) (*.f64 (atan2.f64 x.im x.re) 2)))
(/.f64 1/2 (/.f64 (/.f64 1 (atan2.f64 x.im x.re)) (+.f64 y.re y.re)))
(/.f64 1/2 (/.f64 1 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (*.f64 (atan2.f64 x.im x.re) 1/2) (/.f64 1/2 y.re))
(/.f64 (*.f64 y.re 1/2) (/.f64 1/2 (atan2.f64 x.im x.re)))
(/.f64 (-.f64 (*.f64 -1 (+.f64 y.re y.re)) (neg.f64 y.re)) (/.f64 -1 (atan2.f64 x.im x.re)))
(/.f64 (-.f64 (*.f64 y.re 3) (-.f64 (+.f64 y.re y.re) (-.f64 (neg.f64 y.re) y.re))) (/.f64 -1 (atan2.f64 x.im x.re)))
(/.f64 (-.f64 (.f64 y.re 1/2) (.f64 1/2 (*.f64 y.re 3))) (/.f64 -1 (atan2.f64 x.im x.re)))
(/.f64 (-.f64 (+.f64 (+.f64 y.re (.f64 y.re 3)) (.f64 y.re 3)) (+.f64 (+.f64 y.re (.f64 y.re 3)) (+.f64 y.re (.f64 y.re 3)))) (/.f64 -1 (atan2.f64 x.im x.re)))
(/.f64 (-.f64 (.f64 -1 (.f64 (atan2.f64 x.im x.re) 2)) (neg.f64 (atan2.f64 x.im x.re))) (/.f64 -1 y.re))
(/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) 3) (-.f64 (.f64 (atan2.f64 x.im x.re) 2) (/.f64 (neg.f64 (atan2.f64 x.im x.re)) 1/2))) (/.f64 -1 y.re))
(/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) 1/2) (.f64 1/2 (*.f64 (atan2.f64 x.im x.re) 3))) (/.f64 -1 y.re))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) 2) (.f64 (atan2.f64 x.im x.re) 3)) (+.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) 2) (.f64 (*.f64 (atan2.f64 x.im x.re) 2) 2))) (/.f64 -1 y.re))
(/.f64 (-.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) 3)) (neg.f64 (.f64 (*.f64 (atan2.f64 x.im x.re) 2) 2))) (/.f64 1 y.re))
(/.f64 (-.f64 (neg.f64 (.f64 y.re 3)) (neg.f64 (+.f64 y.re (.f64 y.re 3)))) (/.f64 1 (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))

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

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	31.2b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	14.9b	(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 168 to 43 computations (74.4% saved)

series102.0ms (0.5%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
27.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2158×	`rational.json-1`
1006×	`rational.json-simplify-5`
842×	`rational.json-simplify-11`
690×	`rational.json-simplify-14`
514×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	82	37
2	226	37
3	1093	37
4	7181	37

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) 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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) 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))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) 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))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.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 0 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 1/2 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) 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))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (-.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (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 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0) (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (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))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3) 1/2) (*.f64 1/2 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.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 (*.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 (*.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 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) 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))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (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 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (-.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 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))))

simplify533.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1632×	`rational.json-simplify-39`
1148×	`rational.json-simplify-51`
894×	`rational.json-simplify-55`
838×	`rational.json-simplify-41`
604×	`rational.json-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	3954
1	374	3926
2	1127	3880
3	5090	3880
4	7678	3880
5	7868	3880
6	7914	3880
7	7941	3880
8	7945	3880
9	7945	3880

Stop Event

1×	node limit

Counts

90 → 84

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

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

localize97.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	8.3b	(/.f64 (*.f64 (pow.f64 x.re 2) -1/2) x.im)
✓	9.7b	(log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) x.im)))
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	31.2b	(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 236 to 94 computations (60.2% saved)

series21.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	x.im	@	0	(/.f64 (*.f64 (pow.f64 x.re 2) -1/2) x.im)
1.0ms	x.im	@	0	(log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) x.im)))
1.0ms	x.re	@	inf	(log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) x.im)))
1.0ms	x.im	@	inf	(log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) x.im)))
1.0ms	x.re	@	0	(/.f64 (*.f64 (pow.f64 x.re 2) -1/2) x.im)

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`rational.json-1`
1842×	`rational.json-2`
730×	`rational.json-simplify-5`
638×	`rational.json-simplify-13`
578×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	82	52
2	237	48
3	1118	48
4	7158	48

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1026×	`rational.json-simplify-35`
914×	`rational.json-simplify-1`
764×	`rational.json-simplify-19`
726×	`rational.json-simplify-15`
708×	`rational.json-simplify-32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	5067
1	918	4999
2	3195	4987

Stop Event

1×	node limit

Counts

177 → 220

Calls

Call 1

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

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

localize70.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.re y.re)) (*.f64 y.re 3)))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	31.2b	(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) (-.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 y.re 3)))))

Compiler

Compiled 234 to 57 computations (75.6% saved)

series16.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	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) (-.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 y.re 3)))))
3.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 y.re 3)))))
2.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 y.re 3)))))
2.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 y.re 3)))))
2.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 y.re 3)))))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational.json-1`
1176×	`rational.json-2`
1176×	`rational.json-4`
1176×	`rational.json-3`
738×	`rational.json-simplify-30`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	116
1	137	116
2	454	104
3	2572	68

Stop Event

1×	node limit

Counts

2 → 142

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) (-.f64 (*.f64 2 (+.f64 y.re y.re)) (*.f64 y.re 3)))))

(*.f64 (atan2.f64 x.im x.re) (-.f64 (*.f64 2 (+.f64 y.re y.re)) (*.f64 y.re 3)))

Outputs

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y.re))) 2) (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (-.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 0 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((x /.f64 (atan2.f64 x.im x.re) (/.f64 1 y.re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 x.im x.re) (*.f64 -1 (neg.f64 (/.f64 1 y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y.re y.re) (/.f64 (/.f64 1 (atan2.f64 x.im x.re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y.re (/.f64 1 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y.re (*.f64 -1 (neg.f64 (/.f64 1 (atan2.f64 x.im x.re)))))))) (#(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 1 (/.f64 (/.f64 1 y.re) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 x.im x.re)) (/.f64 -1 y.re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 x.im x.re)) (neg.f64 (/.f64 1 y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 x.im x.re)) (*.f64 (/.f64 1 y.re) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 x.im x.re)) (*.f64 1 (neg.f64 (/.f64 1 y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 x.im x.re)) (-.f64 0 (/.f64 1 y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y.re) (/.f64 -1 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y.re) (neg.f64 (/.f64 1 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y.re) (*.f64 (/.f64 1 (atan2.f64 x.im x.re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y.re) (*.f64 1 (neg.f64 (/.f64 1 (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) 2) (/.f64 (/.f64 1 y.re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 y.re) (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 (atan2.f64 x.im x.re)) (+.f64 y.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1 y.re) (*.f64 (atan2.f64 x.im x.re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (atan2.f64 x.im x.re)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (+.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (atan2.f64 x.im x.re)) (/.f64 1/2 y.re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 y.re) (/.f64 1/2 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (atan2.f64 x.im x.re)) (*.f64 2 (neg.f64 (atan2.f64 x.im x.re)))) (/.f64 1 y.re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 2 (*.f64 y.re 4)) (+.f64 (*.f64 y.re 6) y.re)) (+.f64 (+.f64 (*.f64 y.re 6) y.re) (+.f64 (*.f64 y.re 6) y.re))) (/.f64 1 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 y.re 6) (+.f64 (*.f64 y.re 6) y.re)) (+.f64 (*.f64 y.re 6) (*.f64 y.re 6))) (/.f64 1 (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))))

simplify194.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-27`
1242×	`rational.json-simplify-23`
798×	`rational.json-simplify-39`
614×	`rational.json-simplify-55`
550×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	583	16358
1	1814	11450
2	6712	11450

Stop Event

1×	node limit

Counts

226 → 273

Calls

Call 1

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

Outputs
(cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (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 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 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 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (.f64 (.f64 y.im (pow.f64 x.re 2)) (/.f64 (sin.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))) (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 (.f64 y.im (pow.f64 x.re 2)) (.f64 -1/2 (/.f64 (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 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (+.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)))) (.f64 (pow.f64 x.re 2) y.im)) (pow.f64 x.im 2)))))
(+.f64 (+.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (.f64 (.f64 y.im (pow.f64 x.re 2)) (/.f64 (sin.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 2))))) (.f64 (-.f64 (.f64 -1/8 (.f64 (pow.f64 y.im 2) (/.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 4)))) (.f64 -1/4 (.f64 y.im (/.f64 (sin.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 x.im 4))))) (pow.f64 x.re 4)))
(+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 (.f64 y.im (pow.f64 x.re 2)) (.f64 -1/2 (/.f64 (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 (-.f64 (.f64 -1/8 (.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 -1/4 (.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)) (pow.f64 x.re 4))))
(+.f64 (.f64 (pow.f64 x.re 6) (-.f64 (.f64 1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 6))) (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 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 (.f64 (-.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)))) y.im) (pow.f64 x.im 4)))) (pow.f64 x.re 4)) (+.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 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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(+.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 y.im (pow.f64 x.re 2)) (.f64 -1/2 (/.f64 (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 6) (-.f64 (.f64 (pow.f64 y.im 2) (.f64 1/8 (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (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 (.f64 y.im 1/6) (.f64 -1/48 (pow.f64 y.im 3))) (pow.f64 x.im 6))))) (.f64 (/.f64 (-.f64 (.f64 -1/8 (.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 -1/4 (.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)) (pow.f64 x.re 4))))
(cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 (-.f64 (.f64 4 y.re) (*.f64 3 y.re)) (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.re))))))
(cos.f64 (+.f64 (neg.f64 (.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 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 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 (-.f64 (.f64 4 y.re) (*.f64 3 y.re)) (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 -1 (.f64 y.im (log.f64 (/.f64 1 x.re)))))) (.f64 -1/2 (.f64 (.f64 y.im (pow.f64 x.im 2)) (/.f64 (sin.f64 (+.f64 (.f64 (-.f64 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 y.im (log.f64 (/.f64 1 x.re)))))) (pow.f64 x.re 2)))))
(+.f64 (cos.f64 (+.f64 (neg.f64 (.f64 y.im (log.f64 (/.f64 1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 -1/2 (/.f64 (/.f64 (pow.f64 x.re 2) (.f64 y.im (pow.f64 x.im 2))) (sin.f64 (+.f64 (neg.f64 (.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 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 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 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)))) (.f64 -1/8 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))) (.f64 -1/4 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 (-.f64 (.f64 4 y.re) (.f64 3 y.re)) (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))))
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(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (atan2.f64 x.im x.re) (*.f64 -1 (neg.f64 (/.f64 1 y.re))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (+.f64 y.re y.re) (/.f64 (/.f64 1 (atan2.f64 x.im x.re)) 1/2))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 y.re (/.f64 1 (atan2.f64 x.im x.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 y.re (*.f64 -1 (neg.f64 (/.f64 1 (atan2.f64 x.im x.re)))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 1 (/.f64 (/.f64 1 y.re) (atan2.f64 x.im x.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (atan2.f64 x.im x.re)) (/.f64 -1 y.re))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (atan2.f64 x.im x.re)) (neg.f64 (/.f64 1 y.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (atan2.f64 x.im x.re)) (*.f64 (/.f64 1 y.re) -1))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (atan2.f64 x.im x.re)) (*.f64 1 (neg.f64 (/.f64 1 y.re))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (atan2.f64 x.im x.re)) (-.f64 0 (/.f64 1 y.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 y.re) (/.f64 -1 (atan2.f64 x.im x.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 y.re) (neg.f64 (/.f64 1 (atan2.f64 x.im x.re))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 y.re) (*.f64 (/.f64 1 (atan2.f64 x.im x.re)) -1))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 y.re) (*.f64 1 (neg.f64 (/.f64 1 (atan2.f64 x.im x.re)))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (atan2.f64 x.im x.re))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 -1 (/.f64 1 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) -1)
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 (atan2.f64 x.im x.re) 2) (/.f64 (/.f64 1 y.re) 1/2))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 1/2 (/.f64 (/.f64 1/2 y.re) (atan2.f64 x.im x.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 1/2 (/.f64 (/.f64 1 (atan2.f64 x.im x.re)) (+.f64 y.re y.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 1/2 (/.f64 (/.f64 1 y.re) (*.f64 (atan2.f64 x.im x.re) 2)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 1/2 (/.f64 (/.f64 1/2 (atan2.f64 x.im x.re)) y.re))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 1/2 (/.f64 1 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 1/2 (atan2.f64 x.im x.re)) (/.f64 1/2 y.re))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 1/2 y.re) (/.f64 1/2 (atan2.f64 x.im x.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) -1) 1)
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))) 1/2) -1)
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (-.f64 (neg.f64 (atan2.f64 x.im x.re)) (*.f64 2 (neg.f64 (atan2.f64 x.im x.re)))) (/.f64 1 y.re))
(.f64 (-.f64 (neg.f64 (atan2.f64 x.im x.re)) (.f64 2 (neg.f64 (atan2.f64 x.im x.re)))) (/.f64 y.re 1))
(.f64 y.re (-.f64 (neg.f64 (atan2.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) -2)))
(/.f64 (-.f64 (+.f64 (.f64 2 (.f64 y.re 4)) (+.f64 (.f64 y.re 6) y.re)) (+.f64 (+.f64 (.f64 y.re 6) y.re) (+.f64 (*.f64 y.re 6) y.re))) (/.f64 1 (atan2.f64 x.im x.re)))
(.f64 (+.f64 (.f64 y.re 8) (-.f64 (+.f64 y.re (.f64 y.re 6)) (+.f64 (.f64 y.re 6) (+.f64 (+.f64 y.re (*.f64 y.re 6)) y.re)))) (/.f64 (atan2.f64 x.im x.re) 1))
(/.f64 (-.f64 (+.f64 y.re (.f64 y.re 6)) (.f64 y.re 8)) (/.f64 -1 (atan2.f64 x.im x.re)))
(.f64 (atan2.f64 x.im x.re) (/.f64 (-.f64 (+.f64 y.re (.f64 y.re 6)) (*.f64 y.re 8)) -1))
(/.f64 (-.f64 (+.f64 (.f64 y.re 6) (+.f64 (.f64 y.re 6) y.re)) (+.f64 (.f64 y.re 6) (.f64 y.re 6))) (/.f64 1 (atan2.f64 x.im x.re)))
(.f64 (neg.f64 (atan2.f64 x.im x.re)) (-.f64 (.f64 y.re 6) (+.f64 y.re (*.f64 y.re 6))))
(.f64 (atan2.f64 x.im x.re) (-.f64 (+.f64 y.re (.f64 y.re 6)) (*.f64 y.re 6)))
(.f64 (atan2.f64 x.im x.re) (-.f64 (+.f64 y.re (.f64 y.re 12)) (*.f64 y.re 12)))
(neg.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))
(.f64 (-.f64 (.f64 4 y.re) (*.f64 y.re 3)) (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))

eval1.2s (6.3%)

Compiler: Compiled 108793 to 38517 computations (64.6% saved)

prune1.6s (7.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	2163	18	2181
Fresh	4	2	6
Picked	1	0	1
Done	4	0	4
Total	2172	20	2192

Error

3.2b

Counts

2192 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	40.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) x.im))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	22.9b	(.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) (-.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 y.im 3))))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	22.6b	(.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))) (/.f64 1 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.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 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 3) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))
	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (/.f64 (-.f64 (+.f64 (.f64 y.re 6) (+.f64 (.f64 y.re 6) y.re)) (+.f64 (.f64 y.re 6) (.f64 y.re 6))) (/.f64 1 (atan2.f64 x.im x.re))))))
▶	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))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	22.6b	(.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 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re))))
	43.8b	(.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.im (log.f64 (neg.f64 x.im)))))
▶	22.9b	(.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))) 1)
	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 1/2 (-.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im 3)) (.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))))
	55.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 2)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (neg.f64 y.im))))))
	55.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.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))))
	37.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	51.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.9b	(.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 1438 to 848 computations (41% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.9b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 151 to 28 computations (81.5% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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)))
✓	0.2b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series56.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
46.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
1.0ms	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	@	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)))
1.0ms	x.im	@	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)))

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`rational.json-1`
774×	`rational.json-2`
774×	`rational.json-4`
774×	`rational.json-3`
552×	`rational.json-simplify-25`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	95	88
2	297	88
3	1593	88

Stop Event

1×	node limit

Counts

2 → 126

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

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simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1504×	`rational.json-simplify-25`
1482×	`rational.json-simplify-27`
1228×	`rational.json-simplify-23`
770×	`rational.json-simplify-39`
560×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	542	14252
1	1639	13834
2	5239	13834

Stop Event

1×	node limit

Counts

210 → 295

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (log.f64 (.f64 x.re -1)) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.9b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 86 to 36 computations (58.1% saved)

series60.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x.re	@	0	(.f64 (log.f64 (.f64 x.re -1)) y.re)
14.0ms	y.re	@	0	(.f64 (log.f64 (.f64 x.re -1)) y.re)
8.0ms	x.re	@	-inf	(.f64 (log.f64 (.f64 x.re -1)) y.re)
7.0ms	x.re	@	inf	(.f64 (log.f64 (.f64 x.re -1)) y.re)
0.0ms	y.re	@	inf	(.f64 (log.f64 (.f64 x.re -1)) y.re)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`rational.json-1`
1762×	`rational.json-2`
1002×	`rational.json-4`
1002×	`rational.json-3`
886×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	50	15
2	138	15
3	609	15
4	3802	15
5	7442	15

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

Inputs
(.f64 (log.f64 (.f64 x.re -1)) y.re)

Outputs

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1560×	`rational.json-simplify-31`
1550×	`rational.json-simplify-25`
1484×	`rational.json-simplify-23`
976×	`rational.json-simplify-29`
494×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	4211
1	978	3503
2	4598	3481

Stop Event

1×	node limit

Counts

147 → 164

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 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 0)
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (log.f64 (neg.f64 x.re)) 0))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 y.re y.re))
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(/.f64 (*.f64 y.re 1/2) (/.f64 1/2 (log.f64 (neg.f64 x.re))))
(/.f64 (*.f64 (log.f64 (neg.f64 x.re)) 1/2) (/.f64 1/2 y.re))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 3) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 2) (/.f64 (neg.f64 (log.f64 (neg.f64 x.re))) 1/2))) (/.f64 -1 y.re))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 1/2) (.f64 1/2 (*.f64 (log.f64 (neg.f64 x.re)) 3))) (/.f64 -1 y.re))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) 2) 2) (.f64 (log.f64 (neg.f64 x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) 2) 2) (.f64 (*.f64 (log.f64 (neg.f64 x.re)) 2) 2))) (/.f64 -1 y.re))
(/.f64 (-.f64 (*.f64 y.re 3) (-.f64 (+.f64 y.re y.re) (neg.f64 (+.f64 y.re y.re)))) (/.f64 -1 (log.f64 (neg.f64 x.re))))
(/.f64 (-.f64 (.f64 y.re 1/2) (.f64 1/2 (*.f64 y.re 3))) (/.f64 -1 (log.f64 (neg.f64 x.re))))
(/.f64 (-.f64 (+.f64 (+.f64 y.re (.f64 y.re 3)) (.f64 y.re 3)) (+.f64 (+.f64 y.re (.f64 y.re 3)) (+.f64 y.re (.f64 y.re 3)))) (/.f64 -1 (log.f64 (neg.f64 x.re))))
(/.f64 (-.f64 (neg.f64 (.f64 y.re 3)) (neg.f64 (+.f64 y.re (.f64 y.re 3)))) (/.f64 1 (log.f64 (neg.f64 x.re))))
(/.f64 (-.f64 (neg.f64 (.f64 (log.f64 (neg.f64 x.re)) 3)) (neg.f64 (.f64 (*.f64 (log.f64 (neg.f64 x.re)) 2) 2))) (/.f64 1 y.re))
(neg.f64 (*.f64 (log.f64 (neg.f64 x.re)) (neg.f64 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 y.re (.f64 -1 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.re))))
(.f64 y.re (.f64 -1 (log.f64 (/.f64 -1 x.re))))
(*.f64 (log.f64 (/.f64 -1 x.re)) (neg.f64 y.re))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(.f64 (log.f64 (.f64 -1 x.re)) y.re)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 0)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (log.f64 (neg.f64 x.re)) 0))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 y.re y.re))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (log.f64 (neg.f64 x.re)) (-.f64 y.re y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (+.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (*.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (+.f64 (-.f64 y.re y.re) (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re))))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (*.f64 (log.f64 (neg.f64 x.re)) 0)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)))
(+.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)))
(-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 y.re y.re))
(-.f64 y.re (-.f64 y.re (*.f64 y.re (log.f64 (neg.f64 x.re)))))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (*.f64 (log.f64 (neg.f64 x.re)) (-.f64 y.re y.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (/.f64 -1 (/.f64 (/.f64 1 y.re) 0)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (/.f64 -1 (/.f64 1 (-.f64 y.re y.re))))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (/.f64 -1 (/.f64 (/.f64 1 (log.f64 (neg.f64 x.re))) 0)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (/.f64 -1 (/.f64 1 (.f64 (log.f64 (neg.f64 x.re)) 0))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 0 (*.f64 (log.f64 (neg.f64 x.re)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) (neg.f64 y.re)) (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 (log.f64 (neg.f64 x.re)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) 0) (/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (neg.f64 x.re))) y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) 0) (/.f64 -1 (/.f64 (/.f64 -1 y.re) (log.f64 (neg.f64 x.re)))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.re)) 0) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1 y.re) (log.f64 (neg.f64 x.re))))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (-.f64 y.re y.re) (*.f64 (log.f64 (neg.f64 x.re)) y.re))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (-.f64 y.re y.re) (/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (neg.f64 x.re))) y.re)))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (-.f64 y.re y.re) (/.f64 -1 (/.f64 (/.f64 -1 y.re) (log.f64 (neg.f64 x.re)))))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (-.f64 y.re y.re) (/.f64 -1 (neg.f64 (/.f64 (/.f64 1 y.re) (log.f64 (neg.f64 x.re))))))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) (.f64 (log.f64 (neg.f64 x.re)) (neg.f64 y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (.f64 (log.f64 (neg.f64 x.re)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (log.f64 (neg.f64 x.re)) (-.f64 y.re y.re)) (.f64 (log.f64 (neg.f64 x.re)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 3))))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 y.re (*.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re -3)))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (-.f64 y.re y.re) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (-.f64 y.re y.re) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (-.f64 y.re y.re) (-.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (-.f64 y.re y.re) (-.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (neg.f64 (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 y.re (*.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re -3)))
(+.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))) (.f64 (*.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 y.re (*.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re -3)))
(+.f64 (-.f64 (-.f64 y.re y.re) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))) (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (-.f64 y.re y.re) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (-.f64 y.re y.re) (-.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (-.f64 y.re y.re) (-.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))))
(+.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re))) (*.f64 (log.f64 (neg.f64 x.re)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (+.f64 (-.f64 y.re y.re) (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re))) (.f64 (log.f64 (neg.f64 x.re)) y.re))
(+.f64 y.re (-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) y.re))
(+.f64 (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (.f64 (log.f64 (neg.f64 x.re)) 0)) (*.f64 (log.f64 (neg.f64 x.re)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)) (.f64 (log.f64 (neg.f64 x.re)) y.re))
(+.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)))
(-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 y.re y.re))
(-.f64 y.re (-.f64 y.re (*.f64 y.re (log.f64 (neg.f64 x.re)))))
(+.f64 (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (.f64 (log.f64 (neg.f64 x.re)) (-.f64 y.re y.re))) (*.f64 (log.f64 (neg.f64 x.re)) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(+.f64 (neg.f64 (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))) (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (.f64 y.re (*.f64 (log.f64 (neg.f64 x.re)) 3))))
(+.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re -3)))
(+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) 1/2) (.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) 1/2))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 0)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (log.f64 (neg.f64 x.re)) 0))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 y.re y.re))
(+.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)))
(-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 y.re y.re))
(-.f64 y.re (-.f64 y.re (*.f64 y.re (log.f64 (neg.f64 x.re)))))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (log.f64 (neg.f64 x.re)) (-.f64 y.re y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (+.f64 (.f64 (log.f64 (neg.f64 x.re)) 0) (*.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (+.f64 (-.f64 y.re y.re) (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re))))
(+.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)))
(-.f64 (*.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 y.re y.re))
(-.f64 y.re (-.f64 y.re (*.f64 y.re (log.f64 (neg.f64 x.re)))))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (*.f64 (log.f64 (neg.f64 x.re)) 0)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) (-.f64 (.f64 0 (-.f64 (log.f64 (neg.f64 x.re)) y.re)) (-.f64 y.re y.re)))
(-.f64 (-.f64 y.re y.re) (-.f64 0 (*.f64 y.re (log.f64 (neg.f64 x.re)))))
(-.f64 (-.f64 y.re y.re) (*.f64 (log.f64 (neg.f64 x.re)) (neg.f64 y.re)))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))) (.f64 1/2 (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3)))) (+.f64 (.f64 1/2 (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3))) (.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 1/2)))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3/2)) (.f64 (.f64 y.re (log.f64 (neg.f64 x.re))) 1/2))
(-.f64 (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3/2)) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 1/2)))
(-.f64 (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3/2)) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2)) (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2))) (+.f64 (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2)) (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3)))))
(-.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re)) 2) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3)))
(-.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3)))
(-.f64 (/.f64 y.re (/.f64 1/4 (log.f64 (neg.f64 x.re)))) (.f64 (log.f64 (neg.f64 x.re)) (.f64 y.re 3)))
(/.f64 -1 (/.f64 1 (*.f64 (log.f64 (neg.f64 x.re)) (neg.f64 y.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (log.f64 (neg.f64 x.re)) (/.f64 1 y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 y.re (/.f64 1 (log.f64 (neg.f64 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 1)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 1 (/.f64 (/.f64 1 y.re) (log.f64 (neg.f64 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (neg.f64 y.re) (/.f64 -1 (log.f64 (neg.f64 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (neg.f64 y.re) (-.f64 (/.f64 1 (log.f64 (neg.f64 x.re))) (/.f64 (/.f64 1 (log.f64 (neg.f64 x.re))) 1/2)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (*.f64 (log.f64 (neg.f64 x.re)) (neg.f64 y.re)) -1)
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (neg.f64 (log.f64 (neg.f64 x.re))) (/.f64 -1 y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (neg.f64 (log.f64 (neg.f64 x.re))) (-.f64 (/.f64 1 y.re) (/.f64 (/.f64 1 y.re) 1/2)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (+.f64 y.re y.re) (/.f64 (/.f64 1 (log.f64 (neg.f64 x.re))) 1/2))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (*.f64 (log.f64 (neg.f64 x.re)) 2) (/.f64 (/.f64 1 y.re) 1/2))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 1/2 (/.f64 (/.f64 1/2 y.re) (log.f64 (neg.f64 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (log.f64 (neg.f64 x.re))) y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 1/2 (/.f64 (/.f64 1 (log.f64 (neg.f64 x.re))) (+.f64 y.re y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 1/2 (/.f64 (/.f64 1 y.re) (*.f64 (log.f64 (neg.f64 x.re)) 2)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 1/2 (/.f64 1 (*.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re y.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) (neg.f64 y.re)) (.f64 (log.f64 (neg.f64 x.re)) y.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (*.f64 y.re 1/2) (/.f64 1/2 (log.f64 (neg.f64 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (*.f64 (log.f64 (neg.f64 x.re)) 1/2) (/.f64 1/2 y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 3) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 2) (/.f64 (neg.f64 (log.f64 (neg.f64 x.re))) 1/2))) (/.f64 -1 y.re))
(.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x.re))) 1/2) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 2) (*.f64 (log.f64 (neg.f64 x.re)) 3))) (neg.f64 y.re))
(*.f64 (neg.f64 y.re) (-.f64 (/.f64 (log.f64 (neg.f64 x.re)) -1/2) (neg.f64 (log.f64 (neg.f64 x.re)))))
(*.f64 y.re (-.f64 (neg.f64 (log.f64 (neg.f64 x.re))) (/.f64 (log.f64 (neg.f64 x.re)) -1/2)))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 1/2) (.f64 1/2 (*.f64 (log.f64 (neg.f64 x.re)) 3))) (/.f64 -1 y.re))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) 2) 2) (.f64 (log.f64 (neg.f64 x.re)) 3)) (+.f64 (.f64 (.f64 (log.f64 (neg.f64 x.re)) 2) 2) (.f64 (*.f64 (log.f64 (neg.f64 x.re)) 2) 2))) (/.f64 -1 y.re))
(.f64 (+.f64 (.f64 2 (.f64 (log.f64 (neg.f64 x.re)) 2)) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 3) (+.f64 (.f64 2 (.f64 (log.f64 (neg.f64 x.re)) 2)) (.f64 2 (.f64 (log.f64 (neg.f64 x.re)) 2))))) (neg.f64 y.re))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 4) (.f64 (log.f64 (neg.f64 x.re)) 3)) (/.f64 1 y.re))
(.f64 y.re (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 4) (*.f64 (log.f64 (neg.f64 x.re)) 3)))
(/.f64 (-.f64 (*.f64 y.re 3) (-.f64 (+.f64 y.re y.re) (neg.f64 (+.f64 y.re y.re)))) (/.f64 -1 (log.f64 (neg.f64 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (-.f64 (.f64 y.re 1/2) (.f64 1/2 (*.f64 y.re 3))) (/.f64 -1 (log.f64 (neg.f64 x.re))))
(*.f64 y.re (log.f64 (neg.f64 x.re)))
(/.f64 (-.f64 (+.f64 (+.f64 y.re (.f64 y.re 3)) (.f64 y.re 3)) (+.f64 (+.f64 y.re (.f64 y.re 3)) (+.f64 y.re (.f64 y.re 3)))) (/.f64 -1 (log.f64 (neg.f64 x.re))))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re (.f64 y.re 3))) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3)))
(.f64 (log.f64 (neg.f64 x.re)) (-.f64 (+.f64 y.re (.f64 y.re 3)) (*.f64 y.re 3)))
(/.f64 (-.f64 (neg.f64 (.f64 y.re 3)) (neg.f64 (+.f64 y.re (.f64 y.re 3)))) (/.f64 1 (log.f64 (neg.f64 x.re))))
(-.f64 (.f64 (log.f64 (neg.f64 x.re)) (+.f64 y.re (.f64 y.re 3))) (.f64 y.re (.f64 (log.f64 (neg.f64 x.re)) 3)))
(.f64 (log.f64 (neg.f64 x.re)) (-.f64 (+.f64 y.re (.f64 y.re 3)) (*.f64 y.re 3)))
(/.f64 (-.f64 (neg.f64 (.f64 (log.f64 (neg.f64 x.re)) 3)) (neg.f64 (.f64 (*.f64 (log.f64 (neg.f64 x.re)) 2) 2))) (/.f64 1 y.re))
(.f64 (+.f64 (.f64 2 (.f64 (log.f64 (neg.f64 x.re)) 2)) (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 3) (+.f64 (.f64 2 (.f64 (log.f64 (neg.f64 x.re)) 2)) (.f64 2 (.f64 (log.f64 (neg.f64 x.re)) 2))))) (neg.f64 y.re))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 4) (.f64 (log.f64 (neg.f64 x.re)) 3)) (/.f64 1 y.re))
(.f64 y.re (-.f64 (.f64 (log.f64 (neg.f64 x.re)) 4) (*.f64 (log.f64 (neg.f64 x.re)) 3)))
(neg.f64 (*.f64 (log.f64 (neg.f64 x.re)) (neg.f64 y.re)))
(*.f64 y.re (log.f64 (neg.f64 x.re)))

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (log.f64 (.f64 x.re -1)) y.re)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	14.9b	(cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 125 to 61 computations (51.2% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.4b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series24.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2170×	`rational.json-1`
2162×	`rational.json-2`
932×	`rational.json-simplify-5`
824×	`rational.json-simplify-11`
684×	`rational.json-simplify-14`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	70	33
2	201	33
3	1026	33
4	7076	33

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) 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))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0) (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2) (-.f64 0 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 1/2 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 0 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (-.f64 0 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 -1 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0) (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.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))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (*.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))) 0)) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3))))) (#(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))) 3) 1/2) (*.f64 1/2 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2) (*.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)) (+.f64 (*.f64 (*.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))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 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simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational.json-simplify-51`
1036×	`rational.json-simplify-39`
848×	`rational.json-simplify-41`
760×	`rational.json-simplify-55`
678×	`rational.json-simplify-5`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	3603
1	359	3575
2	1117	3553
3	6019	3553

Stop Event

1×	node limit

Counts

91 → 78

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

eval831.0ms (4.2%)

Compiler: Compiled 80913 to 29470 computations (63.6% saved)

prune1.9s (9.5%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	2191	19	2210
Fresh	6	9	15
Picked	1	0	1
Done	4	0	4
Total	2202	28	2230

Error

3.2b

Counts

2230 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
▶	22.9b	(.f64 (/.f64 1 (/.f64 1 (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)
	28.6b	(.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	51.4b	(.f64 (exp.f64 (-.f64 (+.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 (.f64 y.re -1/4) (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) x.im))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (+.f64 y.im (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) y.im)))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.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) 2) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	23.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.im y.im)) (*.f64 y.im 3))))) 1)
	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 1 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.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 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 3) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (log.f64 x.im) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 y.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))))))
	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (/.f64 (-.f64 (+.f64 (.f64 y.re 6) (+.f64 (.f64 y.re 6) y.re)) (+.f64 (.f64 y.re 6) (.f64 y.re 6))) (/.f64 1 (atan2.f64 x.im x.re))))))
	22.6b	(.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 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re))))
	43.8b	(.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.im (log.f64 (neg.f64 x.im)))))
	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 1/2 (-.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im 3)) (.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))))
▶	55.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.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))))
	37.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	37.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	37.7b	(.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))))
	37.9b	(.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))))
▶	38.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	20.6b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)

Compiler

Compiled 1796 to 1120 computations (37.6% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 38 to 11 computations (71.1% saved)

series1.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`rational.json-1`
1232×	`rational.json-2`
1232×	`rational.json-4`
1232×	`rational.json-3`
1028×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	57	21
2	166	21
3	755	21
4	4775	21

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational.json-simplify-5`
1052×	`rational.json-simplify-13`
974×	`rational.json-simplify-11`
678×	`rational.json-simplify-14`
600×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	1627
1	337	1615
2	1202	1615

Stop Event

1×	node limit

Counts

73 → 66

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
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 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)
(+.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))) 0))
(+.f64 0 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(+.f64 (neg.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))) 2))
(+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(+.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2) (-.f64 0 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)))
(+.f64 (-.f64 0 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)) (.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2))
(+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2))
(-.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)
(-.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))) 0))
(-.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)))
(-.f64 0 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (-.f64 0 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)))
(-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (/.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) -1))
(-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (.f64 -1 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)))
(-.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(-.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) (+.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0))))
(-.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0) (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(-.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (+.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (-.f64 0 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2))))
(-.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (+.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (/.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) -1)))
(-.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (+.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (.f64 -1 (.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))) 2) 2) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3))
(-.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2))
(-.f64 (-.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)) (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(-.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2))
(-.f64 (+.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 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))) 2) 2) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)) (+.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)))
(-.f64 (+.f64 (-.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)) (-.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0))) (+.f64 (-.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 0)) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)) (.f64 1/2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1/2)))
(-.f64 (+.f64 (+.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 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))) 2) 2) (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 2))) (+.f64 (+.f64 (.f64 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 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))) 2) 2) (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3))))
(.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 -1 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) -1)
(.f64 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2) 1/2)
(.f64 1/2 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2))
(.f64 -1/2 (-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(.f64 -1/2 (-.f64 0 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)))
(.f64 -1/2 (-.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))) 3)))
(.f64 2 (/.f64 1/2 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) -1/2)
(.f64 (-.f64 0 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)) -1/2)
(.f64 (-.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))) 3)) -1/2)
(.f64 (/.f64 1/2 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 2)
(/.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(/.f64 1 (/.f64 1 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))
(/.f64 -1 (/.f64 1 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(/.f64 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) -1)
(/.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))
(neg.f64 (neg.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))

Outputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
1
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(.f64 (-.f64 0 (.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)) -1/2)
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(.f64 (-.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 3)) -1/2)
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(.f64 (/.f64 1/2 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 2)
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(/.f64 (exp.f64 (*.f64 (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 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(/.f64 1 (/.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))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(/.f64 -1 (/.f64 1 (neg.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 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(/.f64 (neg.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 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(/.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 2)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (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 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(neg.f64 (neg.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 (atan2.f64 x.im x.re) (neg.f64 y.im)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
✓	0.0b	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 57 to 13 computations (77.2% saved)

series52.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
35.0ms	y.im	@	0	(exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
11.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
1.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	y.re	@	0	(exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
0.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational.json-simplify-11`
658×	`rational.json-simplify-57`
566×	`rational.json-1`
566×	`rational.json-2`
566×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	72	73
2	224	73
3	1161	73
4	6870	73

Stop Event

1×	node limit

Counts

3 → 242

Calls

Call 1

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

Outputs

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

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

844×	`rational.json-simplify-14`
708×	`rational.json-simplify-21`
642×	`rational.json-simplify-55`
616×	`rational.json-simplify-11`
584×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	551	11444
1	1780	10914

Stop Event

1×	node limit

Counts

362 → 348

Calls

Call 1

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(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)))
	0.2b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.8b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 159 to 27 computations (83% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.9b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 95 to 24 computations (74.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`rational.json-1`
1562×	`rational.json-2`
1562×	`rational.json-4`
1562×	`rational.json-3`
568×	`rational.json-simplify-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	70	17
2	208	17
3	944	17
4	5937	17

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1056×	`rational.json-simplify-39`
986×	`rational.json-simplify-55`
962×	`rational.json-simplify-41`
938×	`rational.json-simplify-5`
576×	`rational.json-simplify-34`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1597
1	269	1597
2	1116	1597
3	6488	1597

Stop Event

1×	node limit

Counts

85 → 57

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))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.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))) 0)
(+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.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 (.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 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 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.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) (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))) 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) (-.f64 0 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))
(-.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 (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 (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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.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))) 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))) 1/2) (.f64 -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))) 1/2) (/.f64 1 (.f64 2 (/.f64 -1 (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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1/2))
(-.f64 (neg.f64 (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 (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) -1))
(-.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))) 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))) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))
(-.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))) 0)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) 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))) 3) 1/2) (.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))) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4)) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))
(.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 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))) 2))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))
(.f64 -1 (neg.f64 (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)))) -1)
(.f64 -1/2 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) -1/2))
(.f64 -1/2 (.f64 2 (neg.f64 (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))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3)))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)
(.f64 4 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/4))
(.f64 -2 (.f64 -1/2 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 -2 (-.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 -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))) -1/2) -1/2)
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/4) 4)
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)
(.f64 (.f64 -1/2 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) -2)
(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)))

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

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	5.3b	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
✓	8.3b	(/.f64 (pow.f64 x.re 2) x.im)
✓	16.5b	(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)))

Compiler

Compiled 164 to 74 computations (54.9% saved)

series19.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y.im	@	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)))
2.0ms	x.re	@	inf	(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)))
2.0ms	x.im	@	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)))
2.0ms	x.im	@	-inf	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
2.0ms	x.re	@	-inf	(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)))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`rational.json-simplify-1`
738×	`rational.json-1`
738×	`rational.json-2`
738×	`rational.json-4`
738×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	109	99
2	329	99
3	1710	99

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs

(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)))

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

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

Outputs

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(/.f64 (pow.f64 x.re 2) x.im)))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))) 3) (*.f64 (*.f64 2 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))) (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))))))))

simplify156.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1112×	`rational.json-simplify-39`
1110×	`rational.json-simplify-3`
682×	`rational.json-simplify-55`
634×	`rational.json-simplify-18`
520×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	14965
1	2228	14733
2	7675	14733

Stop Event

1×	node limit

Counts

265 → 355

Calls

Call 1

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

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

eval718.0ms (3.6%)

Compiler: Compiled 68792 to 30892 computations (55.1% saved)

prune1.3s (6.5%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1943	11	1954
Fresh	1	22	23
Picked	1	0	1
Done	2	2	4
Total	1947	35	1982

Error

3.1b

Counts

1982 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
	35.5b	(*.f64 (pow.f64 x.im y.re) 1)
	38.1b	(.f64 (/.f64 1 (/.f64 1 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))) 1)
	20.6b	(.f64 (/.f64 1 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1)
	38.8b	(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
	20.6b	(.f64 (.f64 (-.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))) 3)) -1/2) 1)
	28.6b	(.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	51.4b	(.f64 (exp.f64 (-.f64 (+.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 (.f64 y.re -1/4) (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4))))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 x.im -1) (/.f64 (.f64 (pow.f64 x.re 2) -1/2) x.im))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (+.f64 y.im (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) y.im)))) (cos.f64 (+.f64 (.f64 (log.f64 (.f64 x.im -1)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.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) 2) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	50.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	36.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	37.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	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 1 (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.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 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 3)))
	43.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 3) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2)))
	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (.f64 (log.f64 x.im) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 y.im))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 -1/2 (*.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2)))))))
	32.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (/.f64 (-.f64 (+.f64 (.f64 y.re 6) (+.f64 (.f64 y.re 6) y.re)) (+.f64 (.f64 y.re 6) (.f64 y.re 6))) (/.f64 1 (atan2.f64 x.im x.re))))))
	22.6b	(.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 (.f64 4 y.re) (.f64 y.re 3)) (atan2.f64 x.im x.re))))
	43.8b	(.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.im (log.f64 (neg.f64 x.im)))))
	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 1/2 (-.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.im 3)) (.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))))
	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 (/.f64 1/2 x.im)) (.f64 -2 (log.f64 (/.f64 1 x.re)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	37.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	55.3b	(.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)))
	37.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	37.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 1 (/.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	37.7b	(.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))))
	37.9b	(.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))))
	20.9b	(.f64 (exp.f64 (neg.f64 (-.f64 (+.f64 (.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 y.im)) 2)) (+.f64 (.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) 2) (.f64 y.im (*.f64 (atan2.f64 x.im x.re) 3)))))) 1)
	20.9b	(.f64 (exp.f64 (neg.f64 (-.f64 (.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) 2) (.f64 y.im (*.f64 (atan2.f64 x.im x.re) 3))))) 1)
	20.9b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 y.im 3))))) 1)
✓	20.6b	(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
	38.8b	(*.f64 1 1)

Compiler

Compiled 1034 to 653 computations (36.8% saved)

regimes437.0ms (2.2%)

Counts

60 → 3

Calls

Call 1

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

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

(*.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

5 calls:

125.0ms	y.im
106.0ms	x.im
84.0ms	y.re
78.0ms	x.re
13.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (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
9.7b	2	`x.re`
9.1b	3	`x.im`
5.6b	3	`y.re`
17.8b	5	`y.im`
9.8b	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 1813 to 569 computations (68.6% saved)

bsearch95.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	5.0689755615686065e-5	6.315825458844762
39.0ms	-2.9177941670981404e-5	-1.0007046357840634e-6

Results

68.0ms	241×	body	256	valid
9.0ms	8×	body	1024	valid
6.0ms	3×	body	256	infinite
3.0ms	7×	body	512	valid
3.0ms	7×	body	512	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 780 to 553 computations (29.1% saved)

regimes249.0ms (1.2%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

4 calls:

87.0ms	y.im
59.0ms	x.im
58.0ms	y.re
32.0ms	x.re

Results

Error	Segments	Branch
9.7b	2	`x.re`
9.2b	3	`x.im`
5.6b	3	`y.re`
17.8b	5	`y.im`

Compiler

Compiled 685 to 266 computations (61.2% saved)

bsearch72.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	5.0689755615686065e-5	6.315825458844762
33.0ms	-2.9177941670981404e-5	-1.0007046357840634e-6

Results

55.0ms	239×	body	256	valid
8.0ms	11×	body	1024	valid
2.0ms	6×	body	512	valid
2.0ms	5×	body	512	infinite
1.0ms	1×	body	1024	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 752 to 525 computations (30.2% saved)

regimes209.0ms (1%)

Counts

31 → 3

Calls

Call 1

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

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

(*.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)

Calls

4 calls:

67.0ms	y.im
47.0ms	y.re
45.0ms	x.im
37.0ms	x.re

Results

Error	Segments	Branch
9.7b	2	`x.re`
9.2b	3	`x.im`
5.7b	3	`y.re`
17.8b	5	`y.im`

Compiler

Compiled 605 to 239 computations (60.5% saved)

bsearch73.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	5.0689755615686065e-5	6.315825458844762
31.0ms	-2.9177941670981404e-5	-1.0007046357840634e-6

Results

53.0ms	236×	body	256	valid
10.0ms	14×	body	1024	valid
2.0ms	6×	body	512	valid
2.0ms	5×	body	512	infinite
1.0ms	2×	body	1024	infinite
0.0ms	2×	body	256	infinite

Compiler

Compiled 717 to 518 computations (27.8% saved)

regimes130.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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))) 1)

(*.f64 (exp.f64 (neg.f64 (*.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)

Calls

4 calls:

44.0ms	y.re
40.0ms	y.im
23.0ms	x.im
16.0ms	x.re

Results

Error	Segments	Branch
9.9b	2	`x.re`
9.8b	3	`x.im`
6.0b	3	`y.re`
17.9b	5	`y.im`

Compiler

Compiled 274 to 148 computations (46% saved)

bsearch106.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	2.2265086639126853e+58	1.255501422168521e+59
32.0ms	-2.9177941670981404e-5	-1.0007046357840634e-6

Results

45.0ms	200×	body	256	valid
41.0ms	180×	body	256	infinite
9.0ms	15×	body	1024	infinite
3.0ms	9×	body	512	infinite
2.0ms	5×	body	512	valid
2.0ms	3×	body	1024	valid

Compiler

Compiled 555 to 389 computations (29.9% saved)

regimes87.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

27.0ms	x.re
22.0ms	y.re
20.0ms	y.im
15.0ms	x.im

Results

Error	Segments	Branch
8.9b	4	`x.re`
11.1b	2	`x.im`
7.0b	3	`y.re`
19.4b	3	`y.im`

Compiler

Compiled 186 to 111 computations (40.3% saved)

bsearch98.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	2.2265086639126853e+58	1.255501422168521e+59
36.0ms	-2.9177941670981404e-5	-1.0007046357840634e-6

Results

43.0ms	195×	body	256	valid
31.0ms	131×	body	256	infinite
6.0ms	17×	body	512	infinite
6.0ms	11×	body	1024	infinite
5.0ms	8×	body	1024	valid
2.0ms	5×	body	512	valid

Compiler

Compiled 409 to 314 computations (23.2% saved)

regimes80.0ms (0.4%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	x.re
19.0ms	y.im
19.0ms	y.re
13.0ms	x.im

Results

Error	Segments	Branch
8.9b	4	`x.re`
11.1b	2	`x.im`
13.0b	3	`y.re`
19.4b	3	`y.im`

Compiler

Compiled 174 to 102 computations (41.4% saved)

bsearch104.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
23.0ms	1.0861166136179297e-200	2.621594964296901e-200
46.0ms	1.2856704457403933e-211	4.1562624222839123e-209
35.0ms	-4.139702529792878e-255	-5.500631866493711e-257

Results

69.0ms	320×	body	256	valid
22.0ms	36×	body	1024	infinite
4.0ms	11×	body	512	infinite
2.0ms	8×	body	256	infinite

Compiler

Compiled 618 to 464 computations (24.9% saved)

regimes63.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (/.f64 1 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 y.im 3))))) 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 (.f64 x.im -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) 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:

16.0ms	x.re
15.0ms	y.re
15.0ms	y.im
14.0ms	x.im

Results

Error	Segments	Branch
13.4b	2	`x.re`
11.1b	2	`x.im`
13.0b	3	`y.re`
19.4b	3	`y.im`

Compiler

Compiled 121 to 77 computations (36.4% saved)

bsearch54.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	-5.541196978580612e-301	7.270998841030356e-304

Results

29.0ms	146×	body	256	valid
11.0ms	14×	body	1024	infinite
5.0ms	9×	body	1024	valid
3.0ms	8×	body	512	infinite
2.0ms	5×	body	512	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 428 to 305 computations (28.7% saved)

regimes62.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 1 1)
(*.f64 (pow.f64 x.im y.re) 1)
(.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(.f64 (/.f64 1 (/.f64 1 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) (-.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 y.im 3))))) 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 x.im y.re) 1)
(.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1)
(*.f64 (pow.f64 x.im y.re) 1)

Calls

4 calls:

15.0ms	x.re
15.0ms	y.im
14.0ms	y.re
14.0ms	x.im

Results

Error	Segments	Branch
13.4b	2	`x.re`
16.1b	2	`x.im`
13.0b	3	`y.re`
19.4b	3	`y.im`

Compiler

Compiled 106 to 69 computations (34.9% saved)

bsearch112.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	2.2265086639126853e+58	1.255501422168521e+59
41.0ms	-1.2350718052456494e+27	-4.240087993694911e+20

Results

52.0ms	240×	body	256	valid
39.0ms	169×	body	256	infinite
10.0ms	18×	body	1024	infinite
7.0ms	18×	body	512	infinite

Compiler

Compiled 408 to 310 computations (24% saved)

regimes77.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	x.re
18.0ms	x.im
15.0ms	y.im
11.0ms	y.re

Results

Error	Segments	Branch
30.0b	7	`x.re`
27.5b	6	`x.im`
22.9b	3	`y.re`
29.5b	5	`y.im`

Compiler

Compiled 41 to 32 computations (22% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	2.3634455770484626e-8	5.0689755615686065e-5
20.0ms	-1.0007046357840634e-6	-7.295956037183395e-7

Results

39.0ms	173×	body	256	valid
7.0ms	11×	body	1024	valid
3.0ms	8×	body	512	valid
2.0ms	5×	body	512	infinite
1.0ms	4×	body	256	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 336 to 253 computations (24.7% saved)

regimes64.0ms (0.3%)

Accuracy

Total -28.5b remaining (-123.9%)

Threshold costs -28.5b (-123.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	x.re
16.0ms	x.im
15.0ms	y.im
10.0ms	y.re

Results

Error	Segments	Branch
30.0b	7	`x.re`
27.5b	6	`x.im`
23.0b	3	`y.re`
29.5b	5	`y.im`

Compiler

Compiled 32 to 26 computations (18.8% saved)

bsearch60.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	2.3634455770484626e-8	5.0689755615686065e-5
18.0ms	-1.0007046357840634e-6	-7.295956037183395e-7

Results

48.0ms	178×	body	256	valid
4.0ms	6×	body	1024	valid
3.0ms	8×	body	512	valid
1.0ms	2×	body	1024	infinite
1.0ms	2×	body	512	infinite
1.0ms	3×	body	256	infinite

Compiler

Compiled 264 to 217 computations (17.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1283

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -3423715700080493/590295810358705651712) (.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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (if (<=.f64 y.re 4796153459164483/36893488147419103232) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -6611313076017503/2361183241434822606848) (.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 8854437155380585/36893488147419103232) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -3423715700080493/590295810358705651712) (.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) (if (<=.f64 y.re 8264141345021879/73786976294838206464) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7673845534663173/1180591620717411303424) (.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) (if (<=.f64 y.re 24999999999999999292197012390116050212484082091544289476608) (.f64 (exp.f64 (neg.f64 (.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)))
(if (<=.f64 y.re -534955578137577/18446744073709551616) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1) (if (<=.f64 y.re 47999999999999999533048071730247742069398168521699496034304) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 x.re -3296557874286551/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 3516416997160133/92537289398950870940028398541361245826297164983552492328825714470508751433275752444915676643171696540742381256647769999871944191701103114571826891603540250015524326325705641838924007751440909196452081155402449891024401596416) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 7928750128209107/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 (pow.f64 x.im y.re) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 x.im -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) 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 -440000000000000000000) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 49000000000000001846314198071567813939147950433439225741312) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -4722366482869645/4722366482869645213696) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 6640827866535439/147573952589676412928) (.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -4722366482869645/4722366482869645213696) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 1770887431076117/36893488147419103232) (.f64 1 1) (*.f64 (pow.f64 x.im y.re) 1)))
(*.f64 1 1)

Outputs
(if (<=.f64 y.re -3423715700080493/590295810358705651712) (.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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) (if (<=.f64 y.re 4796153459164483/36893488147419103232) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -6611313076017503/2361183241434822606848) (.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 8854437155380585/36893488147419103232) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -3423715700080493/590295810358705651712) (.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) (if (<=.f64 y.re 8264141345021879/73786976294838206464) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (neg.f64 y.re) (-.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7673845534663173/1180591620717411303424) (.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) (if (<=.f64 y.re 24999999999999999292197012390116050212484082091544289476608) (.f64 (exp.f64 (neg.f64 (.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)))
(if (<=.f64 y.re -534955578137577/18446744073709551616) (.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) y.re) 1) (if (<=.f64 y.re 47999999999999999533048071730247742069398168521699496034304) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 x.re -3296557874286551/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.re -1)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 3516416997160133/92537289398950870940028398541361245826297164983552492328825714470508751433275752444915676643171696540742381256647769999871944191701103114571826891603540250015524326325705641838924007751440909196452081155402449891024401596416) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 x.re 7928750128209107/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 (pow.f64 x.im y.re) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 x.im -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 x.im -1)) 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 -440000000000000000000) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 49000000000000001846314198071567813939147950433439225741312) (.f64 (exp.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -4722366482869645/4722366482869645213696) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 6640827866535439/147573952589676412928) (.f64 (-.f64 1 (.f64 y.im (atan2.f64 x.im x.re))) 1) (.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -4722366482869645/4722366482869645213696) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 1770887431076117/36893488147419103232) (.f64 1 1) (*.f64 (pow.f64 x.im y.re) 1)))
(if (<=.f64 y.re -4722366482869645/4722366482869645213696) (.f64 (pow.f64 x.im y.re) 1) (if (<=.f64 y.re 1770887431076117/36893488147419103232) 1 (.f64 (pow.f64 x.im y.re) 1)))
(*.f64 1 1)
1

Compiler

Compiled 495 to 292 computations (41% saved)

soundness0.0ms (0%)

end144.0ms (0.7%)

Compiler: Compiled 455 to 193 computations (57.6% saved)