Details

analyze1.7s (1.8%)

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)

sample20.0s (21.2%)

Results

8.4s	2584×	body	1024	infinite
7.2s	7957×	body	256	valid
1.5s	952×	body	512	infinite
1.1s	899×	body	256	infinite
735.0ms	143×	body	1024	valid
641.0ms	212×	body	2048	infinite
258.0ms	146×	body	512	valid
17.0ms	10×	body	2048	valid

Bogosity

preprocess479.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1282×	`rational_best-simplify-48`
1036×	`rational_best-simplify-1`
912×	`rational_best-simplify-50`
544×	`rational_best-simplify-47`
524×	`rational_best-simplify-108`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	248	805
2	423	805
3	907	805
4	2077	805
5	6063	805
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify367.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational_best-simplify-83`
724×	`rational_best-simplify-63`
620×	`rational_best-simplify-1`
608×	`rational_best-simplify-50`
592×	`rational_best-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	51	115
2	90	115
3	177	115
4	383	115
5	1041	115
6	4734	115

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (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

▶

32.3b

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

localize128.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	33.1b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series72.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
19.0ms	y.im	@	inf	(*.f64 (atan2.f64 x.im x.re) y.im)
5.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite837.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`rational_best-simplify-80`
1108×	`rational_best-simplify-79`
1072×	`rational_best-simplify-56`
496×	`rational_best-4`
496×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	137	104
2	376	104
3	1218	104
4	4970	104

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

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

simplify1.6s (1.7%)

Algorithm

1×	egg-herbie

Rules

1004×	`rational_best-simplify-52`
918×	`rational_best-simplify-51`
898×	`rational_best-simplify-48`
856×	`rational_best-simplify-1`
566×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	754	33347
1	2026	32797
2	5188	32701

Stop Event

1×	node limit

Counts

313 → 418

Calls

Call 1

Inputs
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))))))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/48 (.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))) (.f64 1/720 (.f64 (+.f64 (.f64 30 (pow.f64 x.im 6)) (.f64 90 (pow.f64 x.im 6))) y.im))) (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 6)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.im 2))) (pow.f64 x.re 2))) (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 -1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 6))) (pow.f64 x.re 6))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 6))) (.f64 (+.f64 (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.re 6))) (.f64 1/6 (/.f64 y.im (pow.f64 x.re 6)))) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 6)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.re 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re 4)))) (pow.f64 x.im 4)) (+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))))
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 x.im)) y.im)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))))) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))) y.im)) (pow.f64 x.im 4))) (sin.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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(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x.im)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) y.im)) (pow.f64 x.im 2))))
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(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
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(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))
(+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (.f64 (pow.f64 (atan2.f64 x.im x.re) 3) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))))))) (+.f64 (sin.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (cos.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))))))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(+.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 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)))))
(+.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (.f64 (sin.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)))) (.f64 (sin.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))))))
(+.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
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(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(-.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2))
(.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 1/2)
(.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2)) 1/4)
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) 2)) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))) 8)
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (.f64 y.im (/.f64 (atan2.f64 x.im x.re) 2)) (.f64 y.im (/.f64 (atan2.f64 x.im x.re) 2)))
(-.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(-.f64 (.f64 y.im (/.f64 (atan2.f64 x.im x.re) 2)) (/.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2))
(/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(/.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 2)) 2)
(/.f64 (.f64 4 (.f64 y.im (atan2.f64 x.im x.re))) 4)
(/.f64 (+.f64 (.f64 4 (.f64 y.im (atan2.f64 x.im x.re))) (.f64 4 (.f64 y.im (atan2.f64 x.im x.re)))) 8)
(/.f64 (.f64 4 (.f64 4 (*.f64 y.im (atan2.f64 x.im x.re)))) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 2 (+.f64 y.im y.im))) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 64)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 2 (+.f64 y.im y.im)) (*.f64 2 (+.f64 y.im y.im)))) 64)
(/.f64 (.f64 y.im (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2))) 4)
(/.f64 (.f64 (+.f64 y.im y.im) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 16)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.im y.im))) 4)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (+.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 2 (+.f64 y.im y.im)))) 16)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)))
(-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(-.f64 0 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (/.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2))
(/.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(/.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) -1)
(/.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) 2)
(/.f64 (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re)) 4)
(/.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re))) 8)
(/.f64 (.f64 4 (.f64 4 (*.f64 (atan2.f64 x.im x.re) y.re))) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 2 (+.f64 y.re y.re)) (*.f64 2 (+.f64 y.re y.re)))) 64)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re))) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 64)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.re y.re))) 4)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re)))) 16)
(/.f64 (.f64 y.re (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2))) 4)
(/.f64 (.f64 (+.f64 y.re y.re) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 16)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(neg.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))

Outputs
(sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 x.im)))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 2))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 2))) (+.f64 (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 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 -1/4 (pow.f64 x.im 4)))))))
(+.f64 (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 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 -1/4 (pow.f64 x.im 4)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))))) (pow.f64 x.im 2))) (+.f64 (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 6))) (.f64 (+.f64 (.f64 1/6 (/.f64 y.im (pow.f64 x.im 6))) (.f64 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6)))) (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))))) (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 y.im 2) (sin.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))) (.f64 -1/4 (/.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))) (pow.f64 x.im 4))))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im 2))) (+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 -1/4 (pow.f64 x.im 4))))) (+.f64 (.f64 (pow.f64 x.re 6) (+.f64 (.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (/.f64 1/8 (pow.f64 x.im 6))) (.f64 (cos.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 -1/48 (/.f64 (pow.f64 y.im 3) (pow.f64 x.im 6))))))) (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (+.f64 (.f64 (pow.f64 x.re 4) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (pow.f64 x.im 4))) (.f64 (.f64 y.im (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 -1/4 (pow.f64 x.im 4))))) (.f64 (pow.f64 x.re 6) (+.f64 (.f64 (.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im 2)) (/.f64 1/8 (pow.f64 x.im 6))) (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 y.im (/.f64 1/6 (pow.f64 x.im 6))) (.f64 (pow.f64 y.im 3) (/.f64 -1/48 (pow.f64 x.im 6)))))))) (.f64 1/2 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (pow.f64 x.re 2))) (pow.f64 x.im 2)))))
(sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 1 x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 y.im (log.f64 (/.f64 1 x.re)))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -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 (sin.f64 (+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (.f64 (pow.f64 x.im 2) (.f64 y.im (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 (pow.f64 x.re 2))))
(+.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 2) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.im (.f64 (pow.f64 x.im 4) (cos.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re 4))) (.f64 -1/8 (/.f64 (.f64 (sin.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 y.im 2) (pow.f64 x.im 4))) (pow.f64 x.re 4))))))
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(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 y.re (atan2.f64 x.im x.re))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 x.im (+.f64 (.f64 (pow.f64 x.re 4) (/.f64 -1/8 (pow.f64 x.im 3))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 x.im (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 (pow.f64 x.re 4) (/.f64 -1/8 (pow.f64 x.im 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 (pow.f64 x.re 4) (/.f64 -1/8 (pow.f64 x.im 3))) (+.f64 x.im (*.f64 (pow.f64 x.re 6) (/.f64 1/16 (pow.f64 x.im 5))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (+.f64 x.im (.f64 (pow.f64 x.re 4) (/.f64 -1/8 (pow.f64 x.im 3)))) (*.f64 (pow.f64 x.re 6) (/.f64 1/16 (pow.f64 x.im 5)))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (*.f64 (pow.f64 x.im 2) (/.f64 1/2 x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (+.f64 x.re (.f64 (pow.f64 x.im 2) (/.f64 1/2 x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 (.f64 (pow.f64 x.im 2) (/.f64 1/2 x.re)) (+.f64 (*.f64 (pow.f64 x.im 6) (/.f64 1/16 (pow.f64 x.re 5))) x.re)))
(*.f64 -1 x.re)
(*.f64 x.re -1)
(neg.f64 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 x.re -1) (.f64 (pow.f64 x.im 2) (/.f64 -1/2 x.re)))
(+.f64 (neg.f64 x.re) (*.f64 (pow.f64 x.im 2) (/.f64 -1/2 x.re)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 (pow.f64 x.im 2) (/.f64 -1/2 x.re)) (+.f64 (.f64 x.re -1) (*.f64 (pow.f64 x.im 4) (/.f64 1/8 (pow.f64 x.re 3)))))
(+.f64 (neg.f64 x.re) (+.f64 (.f64 (pow.f64 x.im 2) (/.f64 -1/2 x.re)) (.f64 (pow.f64 x.im 4) (/.f64 1/8 (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
(+.f64 (+.f64 (.f64 x.re -1) (.f64 (pow.f64 x.im 4) (/.f64 1/8 (pow.f64 x.re 3)))) (+.f64 (.f64 (pow.f64 x.im 2) (/.f64 -1/2 x.re)) (.f64 (pow.f64 x.im 6) (/.f64 -1/16 (pow.f64 x.re 5)))))
(+.f64 (.f64 (pow.f64 x.im 2) (/.f64 -1/2 x.re)) (+.f64 (+.f64 (neg.f64 x.re) (.f64 (pow.f64 x.im 4) (/.f64 1/8 (pow.f64 x.re 3)))) (*.f64 (pow.f64 x.im 6) (/.f64 -1/16 (pow.f64 x.re 5)))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 x.re (*.f64 (pow.f64 x.im 2) (/.f64 1/2 x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (+.f64 x.re (.f64 (pow.f64 x.im 2) (/.f64 1/2 x.re))) (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 (.f64 (pow.f64 x.im 2) (/.f64 1/2 x.re)) (+.f64 (*.f64 (pow.f64 x.im 6) (/.f64 1/16 (pow.f64 x.re 5))) x.re)))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 x.im (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 x.im (+.f64 (.f64 (pow.f64 x.re 4) (/.f64 -1/8 (pow.f64 x.im 3))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 x.im (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (.f64 (pow.f64 x.re 4) (/.f64 -1/8 (pow.f64 x.im 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
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(*.f64 -1 x.im)
(*.f64 x.im -1)
(neg.f64 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 x.im -1) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))
(+.f64 (neg.f64 x.im) (*.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))
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(+.f64 (+.f64 (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)) (.f64 (pow.f64 x.re 4) (/.f64 1/8 (pow.f64 x.im 3)))) (+.f64 (.f64 (pow.f64 x.re 6) (/.f64 -1/16 (pow.f64 x.im 5))) (.f64 x.im -1)))
(+.f64 (neg.f64 x.im) (+.f64 (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)) (+.f64 (.f64 (pow.f64 x.re 4) (/.f64 1/8 (pow.f64 x.im 3))) (*.f64 (pow.f64 x.re 6) (/.f64 -1/16 (pow.f64 x.im 5))))))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(sin.f64 (+.f64 (.f64 y.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 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 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)))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 0) (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 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (.f64 (sin.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)))) (.f64 (sin.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))))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (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 (sin.f64 0) (sin.f64 0))))
(+.f64 0 (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im))) (.f64 (sin.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))))))
(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 0) (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))))))
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(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))
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(+.f64 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 0) (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))))))
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(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))
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(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)))))
(sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 0 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(-.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 0)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 1)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 1/2)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2)) 1/4)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) 2)) (sqrt.f64 1/2))
(sqrt.f64 (.f64 (.f64 2 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1/2))
(sqrt.f64 (.f64 1/2 (.f64 2 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 2) 2)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)) 4)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))) 8)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 0 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (.f64 y.im (/.f64 (atan2.f64 x.im x.re) 2)) (.f64 y.im (/.f64 (atan2.f64 x.im x.re) 2)))
(*.f64 (/.f64 (atan2.f64 x.im x.re) 2) (+.f64 y.im y.im))
(-.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 0)
(*.f64 (atan2.f64 x.im x.re) y.im)
(-.f64 (.f64 y.im (/.f64 (atan2.f64 x.im x.re) 2)) (/.f64 (neg.f64 (.f64 y.im (atan2.f64 x.im x.re))) 2))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.im 2)) (/.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)) 2))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.im 2)) (/.f64 (.f64 (atan2.f64 x.im x.re) y.im) -2))
(/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(/.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 2)) 2)
(*.f64 (atan2.f64 x.im x.re) y.im)
(/.f64 (.f64 4 (.f64 y.im (atan2.f64 x.im x.re))) 4)
(*.f64 (atan2.f64 x.im x.re) y.im)
(/.f64 (+.f64 (.f64 4 (.f64 y.im (atan2.f64 x.im x.re))) (.f64 4 (.f64 y.im (atan2.f64 x.im x.re)))) 8)
(*.f64 (atan2.f64 x.im x.re) y.im)
(/.f64 (.f64 4 (.f64 4 (*.f64 y.im (atan2.f64 x.im x.re)))) 16)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) 16) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 2 (+.f64 y.im y.im))) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 64)
(/.f64 (.f64 (.f64 (+.f64 y.im y.im) 4) (.f64 (.f64 (atan2.f64 x.im x.re) 2) 4)) 64)
(/.f64 (.f64 4 (.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 16)) 64)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 2 (+.f64 y.im y.im)) (*.f64 2 (+.f64 y.im y.im)))) 64)
(/.f64 (.f64 (.f64 (+.f64 y.im y.im) 4) (.f64 (.f64 (atan2.f64 x.im x.re) 2) 4)) 64)
(/.f64 (.f64 4 (.f64 (*.f64 (atan2.f64 x.im x.re) y.im) 16)) 64)
(/.f64 (.f64 y.im (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2))) 4)
(*.f64 (atan2.f64 x.im x.re) y.im)
(/.f64 (.f64 (+.f64 y.im y.im) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 16)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) 16) 16)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.im y.im))) 4)
(*.f64 (atan2.f64 x.im x.re) y.im)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (+.f64 (.f64 2 (+.f64 y.im y.im)) (.f64 2 (+.f64 y.im y.im)))) 16)
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.im) 16) 16)
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) 1)
(*.f64 (atan2.f64 x.im x.re) y.im)
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 0 (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)))
(*.f64 (/.f64 y.re 2) (+.f64 (atan2.f64 x.im x.re) (atan2.f64 x.im x.re)))
(*.f64 (/.f64 (atan2.f64 x.im x.re) 2) (+.f64 y.re y.re))
(-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 0)
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 0 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (/.f64 (neg.f64 (.f64 (atan2.f64 x.im x.re) y.re)) 2))
(-.f64 (.f64 (atan2.f64 x.im x.re) (/.f64 y.re 2)) (/.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))
(-.f64 (.f64 y.re (/.f64 (atan2.f64 x.im x.re) 2)) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2))
(/.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) -1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re)) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re)) (.f64 4 (.f64 (atan2.f64 x.im x.re) y.re))) 8)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 4 (.f64 4 (*.f64 (atan2.f64 x.im x.re) y.re))) 16)
(/.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 16) 16)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (.f64 (atan2.f64 x.im x.re) 2))) (+.f64 (.f64 2 (+.f64 y.re y.re)) (*.f64 2 (+.f64 y.re y.re)))) 64)
(/.f64 (.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) 4) (.f64 (+.f64 y.re y.re) 4)) 64)
(/.f64 (.f64 4 (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 16)) 64)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re))) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 64)
(/.f64 (.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) 4) (.f64 (+.f64 y.re y.re) 4)) 64)
(/.f64 (.f64 4 (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 16)) 64)
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (+.f64 y.re y.re))) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (.f64 (atan2.f64 x.im x.re) 2) (+.f64 (.f64 2 (+.f64 y.re y.re)) (.f64 2 (+.f64 y.re y.re)))) 16)
(/.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 16) 16)
(/.f64 (.f64 y.re (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2))) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (+.f64 y.re y.re) (+.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 2)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 2)))) 16)
(/.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 16) 16)
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))

eval1.3s (1.4%)

Compiler: Compiled 32794 to 9071 computations (72.3% saved)

prune981.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	467	11	478
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	11	479

Error

17.4b

Counts

479 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	45.0b	(.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 (atan2.f64 x.im x.re) y.re) (/.f64 (-.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (PI.f64)) 2))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))))) (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (/.f64 (-.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) (PI.f64)) 2))))) 2))
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (/.f64 (-.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (PI.f64)) 2)))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (.f64 2 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) 2))
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (.f64 2 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2))
▶	32.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	49.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	44.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	26.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	45.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	47.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	48.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (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 1192 to 598 computations (49.8% saved)

localize773.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series7.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite358.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	63	30
2	150	30
3	408	30
4	1423	30

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs
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simplify913.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational_best-simplify-51`
1060×	`rational_best-simplify-47`
1050×	`rational_best-simplify-50`
984×	`rational_best-simplify-57`
678×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	6786
1	1025	6042
2	2858	5510

Stop Event

1×	node limit

Counts

182 → 236

Calls

Call 1

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

Outputs
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (*.f64 y.re (atan2.f64 x.im x.re)))
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(+.f64 (.f64 1/120 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 5)) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 -1/6 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 3))))
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(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1/6 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) 3)) (.f64 1/120 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 5))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3))) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y.re 7) (pow.f64 (atan2.f64 x.im x.re) 7))) (.f64 1/120 (*.f64 (pow.f64 y.re 5) (pow.f64 (atan2.f64 x.im x.re) 5))))))
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(-.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 1 (sin.f64 (.f64 (PI.f64) -1/2))))) 2))
(/.f64 (-.f64 (+.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (.f64 -2 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) 2)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 0 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) -2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 -1 (-.f64 1 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))
(+.f64 -1 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (neg.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (+.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (/.f64 (.f64 3 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2))) 2))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (/.f64 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 3)) 4))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 1/2)) (/.f64 (PI.f64) -2))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 1/2)) (neg.f64 (neg.f64 (/.f64 (PI.f64) -2))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)) (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (PI.f64) 4))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (/.f64 (PI.f64) -2))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)) (neg.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))) 2)) (neg.f64 (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (PI.f64) -4))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2))) (neg.f64 (+.f64 (/.f64 (PI.f64) 4) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -2))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2))) (-.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))) 2)) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 -1 (/.f64 (PI.f64) -4)) (-.f64 1 (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (-.f64 -1 (/.f64 (PI.f64) -4)) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 4) 1)))
(+.f64 (-.f64 -1 (/.f64 (PI.f64) -4)) (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (/.f64 (PI.f64) 4) -1)))
(+.f64 (+.f64 (-.f64 1 (/.f64 (PI.f64) 4)) (*.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (/.f64 (PI.f64) 4) -1))
(+.f64 (-.f64 -1 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(+.f64 (-.f64 -1 (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 1 (/.f64 (PI.f64) -4)))
(+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 4) -1)) (-.f64 1 (/.f64 (PI.f64) -4)))
(+.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (+.f64 (/.f64 (PI.f64) 4) 1)) (-.f64 1 (/.f64 (PI.f64) -4)))
(+.f64 (+.f64 -1 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) -4))) (+.f64 (/.f64 (PI.f64) 4) 1))
(-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 0)
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 0 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) -2)) (/.f64 (PI.f64) -2))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (/.f64 (PI.f64) -2) (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (.f64 (PI.f64) 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -2))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (/.f64 (PI.f64) 4) (+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) -4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (/.f64 (PI.f64) 4) (-.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) -4)) (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (/.f64 (PI.f64) -4) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (PI.f64) 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2)) (/.f64 (PI.f64) -4)) (-.f64 (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2)) (.f64 (PI.f64) 1/2)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (PI.f64) 1/2)) (-.f64 (PI.f64) (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 1/2 (PI.f64)))))
(+.f64 (-.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) (.f64 1/2 (PI.f64)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (+.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2))) (-.f64 0 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 (PI.f64) 1/2)) (-.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (PI.f64) -4))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) (-.f64 (.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (/.f64 (.f64 3 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 1/2))) 2) (/.f64 (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2) 2))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 3)) 4) (/.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) 4))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2))) (-.f64 (+.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2)) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (neg.f64 (/.f64 (PI.f64) -2))) (-.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (-.f64 (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(-.f64 (-.f64 (/.f64 (PI.f64) 4) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2)) (-.f64 (/.f64 (-.f64 (PI.f64) (.f64 y.re (atan2.f64 x.im x.re))) 2) (/.f64 (PI.f64) 4)))
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) -1)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 4 (.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4))) 16)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (atan2.f64 x.im x.re) (.f64 2 (*.f64 y.re 4))) 8)
(*.f64 y.re (atan2.f64 x.im x.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)))) 16)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (+.f64 (.f64 4 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4))) (.f64 4 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))) 32)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (-.f64 (PI.f64) (+.f64 (PI.f64) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -2))) 2)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (-.f64 (.f64 (PI.f64) 2) (-.f64 (.f64 (PI.f64) 2) (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)))) 4)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (.f64 2 (.f64 y.re 4)) (.f64 2 (*.f64 (atan2.f64 x.im x.re) 4))) 64)
(*.f64 y.re (atan2.f64 x.im x.re))
(/.f64 (.f64 (.f64 2 (.f64 (atan2.f64 x.im x.re) 4)) (.f64 2 (*.f64 y.re 4))) 64)
(*.f64 y.re (atan2.f64 x.im x.re))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1)
(*.f64 y.re (atan2.f64 x.im x.re))
(neg.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

localize142.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	33.1b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 154 to 20 computations (87% saved)

localize113.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	33.1b	(sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 161 to 21 computations (87% saved)

localize307.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(*.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im))
✓	9.0b	(log.f64 (+.f64 (neg.f64 x.im) (*.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im))))
✓	16.6b	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 226 to 78 computations (65.5% saved)

series350.0ms (0.4%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
297.0ms	y.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
18.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	inf	(*.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im))
4.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
4.0ms	y.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite628.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`rational_best-simplify-62`
538×	`rational_best-simplify-60`
526×	`rational_best-simplify-69`
510×	`rational_best-4`
510×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	152	105
2	390	105
3	1224	105
4	5641	105

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify1.2s (1.2%)

Algorithm

1×	egg-herbie

Rules

1424×	`rational_best-simplify-50`
890×	`rational_best-simplify-52`
818×	`rational_best-simplify-48`
796×	`rational_best-simplify-51`
656×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	614	25188
1	1740	24722
2	4579	24420

Stop Event

1×	node limit

Counts

222 → 363

Calls

Call 1

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

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

localize529.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	17.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	17.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	28.7b	(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))

Compiler

Compiled 243 to 78 computations (67.9% saved)

series7.0ms (0%)

Counts

2 → 28

Calls

15 calls:

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

rewrite274.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`rational_best-simplify-83`
656×	`rational_best-4`
656×	`rational_best-2`
656×	`rational_best-3`
656×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	88	40
2	165	40
3	450	40
4	1598	40

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs

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

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

simplify389.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1040×	`rational_best-simplify-55`
676×	`rational_best-simplify-1`
672×	`rational_best-simplify-47`
566×	`rational_best-simplify-49`
510×	`rational_best-simplify-64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	2903
1	697	2887
2	1878	2887

Stop Event

1×	node limit

Counts

117 → 147

Calls

Call 1

Inputs
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
(*.f64 -1 x.re)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (.f64 -1 x.re))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (*.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x.im 2) x.re)) (+.f64 (.f64 -1 x.re) (.f64 1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))))))
x.re
(+.f64 x.re (*.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.im 4) (pow.f64 x.re 3))) (+.f64 x.re (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.im 2) x.re)) (*.f64 1/16 (/.f64 (pow.f64 x.im 6) (pow.f64 x.re 5))))))
x.im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) x.im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) x.im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (+.f64 x.im (*.f64 1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))))))
(*.f64 -1 x.im)
(+.f64 (.f64 -1 x.im) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im))))
(+.f64 (.f64 -1 x.im) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 3))) (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)))))
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y.re 6) (pow.f64 (atan2.f64 x.im x.re) 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.re 2) (pow.f64 (atan2.f64 x.im x.re) 2))) (.f64 1/24 (.f64 (pow.f64 y.re 4) (pow.f64 (atan2.f64 x.im x.re) 4))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 2) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4) (+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 2)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 3) 2) 2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4) (/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 3) 4))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 2) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) -2))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 2) (/.f64 (*.f64 -2 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 4))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 2)) (-.f64 0 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4)))
(-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) -2) 2))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 4))
(.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 1/2)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4))
(.f64 (.f64 2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4)) 1/8)
(.f64 (sqrt.f64 (.f64 2 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 2 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1)
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 4)) 8)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) 1)
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)
(+.f64 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (/.f64 (cos.f64 (neg.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))
(+.f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (+.f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)))
(+.f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (/.f64 (/.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 2) 2))
(+.f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (/.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 3) 4))
(+.f64 (/.f64 (cos.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(-.f64 (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 2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -2))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (/.f64 (.f64 -2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 4))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2))) (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)))) (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2))) (sin.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)))))
(-.f64 (.f64 (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2))) (cos.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)))) (+.f64 (.f64 (sin.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2))) (sin.f64 (.f64 (atan2.f64 x.im x.re) (.f64 y.re 1/2)))) 0))
(-.f64 (+.f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2)) (-.f64 0 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) 2) 2) (/.f64 (/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) -2) 2))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3) 4) (/.f64 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 4))
(.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 0))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (*.f64 2 (/.f64 (cos.f64 0) 2)))
(.f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (.f64 2 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 1/2)
(.f64 (.f64 2 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (cos.f64 0) 2))
(.f64 (.f64 2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 1/2 (cos.f64 0)))
(.f64 (.f64 2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (/.f64 (cos.f64 0) 2) (cos.f64 0)))
(.f64 (.f64 2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 0) 1/2))
(.f64 (.f64 2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 0) (/.f64 (cos.f64 0) 2)))
(.f64 (cos.f64 0) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1/2 (.f64 2 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 2 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (neg.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 0 (cos.f64 0)))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) (/.f64 (cos.f64 0) 4))
(.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 (/.f64 (cos.f64 0) 2) 1/2))
(.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 1/2 (/.f64 (cos.f64 0) 2)))
(.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 0) 2)))
(.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)
(.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (cos.f64 0) 2))
(.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 2 (cos.f64 0)))
(.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (*.f64 (cos.f64 0) 2) (cos.f64 0)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 1/4 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))
(.f64 (+.f64 1 (cos.f64 0)) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(.f64 (.f64 (cos.f64 0) 2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4)) 1/8)
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4)) (/.f64 (cos.f64 0) 8))
(.f64 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4)) (/.f64 (/.f64 (cos.f64 0) 2) 4))
(/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(/.f64 (.f64 2 (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))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4)) 8)
(/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (/.f64 (PI.f64) 2) (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 (/.f64 (PI.f64) 2) (.f64 y.re (atan2.f64 x.im x.re))))) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) (+.f64 (-.f64 (cos.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (-.f64 (cos.f64 (neg.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4)) (*.f64 (cos.f64 0) 2)) 16)
(/.f64 (.f64 (.f64 (cos.f64 0) 2) (.f64 2 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))) 16)
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)
(neg.f64 (neg.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))

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

eval5.4s (5.7%)

Compiler: Compiled 119269 to 42436 computations (64.4% saved)

prune5.2s (5.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1931	18	1949
Fresh	2	4	6
Picked	1	0	1
Done	4	0	4
Total	1938	22	1960

Error

4.7b

Counts

1960 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (/.f64 (-.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (PI.f64)) 2)))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (.f64 2 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) 2))
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (.f64 2 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2))
	30.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 4)) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (/.f64 (PI.f64) 4)) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	30.9b	(.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 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (/.f64 (-.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) -2))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) 2)))
▶	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))) (+.f64 (.f64 y.im (.f64 (log.f64 x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	26.6b	(.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 y.re (atan2.f64 x.im x.re)))
	30.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (-.f64 -1 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) 1)))
	44.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	30.8b	(.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 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re)))))
	38.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	41.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	45.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	57.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	55.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (.f64 2 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	42.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	55.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 1750 to 960 computations (45.1% saved)

localize115.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 121 to 16 computations (86.8% saved)

series175.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
170.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
1.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
1.0ms	y.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
1.0ms	x.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	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite237.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`rational_best-simplify-63`
762×	`rational_best-4`
762×	`rational_best-2`
762×	`rational_best-3`
762×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	83	33
2	191	33
3	571	33
4	1976	33

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify456.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

618×	`rational_best-simplify-63`
570×	`rational_best-simplify-47`
570×	`rational_best-simplify-50`
558×	`rational_best-simplify-108`
558×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	165	2811
1	418	2779
2	926	2779
3	2075	2747
4	7746	2731

Stop Event

1×	node limit

Counts

55 → 132

Calls

Call 1

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

Outputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))))
(-.f64 (.f64 y.re (log.f64 x.im)) (.f64 (/.f64 (*.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2)) -1/2))
(+.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 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.re (*.f64 (pow.f64 x.re 4) (/.f64 -1/4 (pow.f64 x.im 4))))))
(-.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2)) -1/2) (.f64 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)) 1/4)))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 x.re 4) y.re) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x.re 2) y.re) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 x.re 6) y.re) (pow.f64 x.im 6))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 1/6 (/.f64 (*.f64 y.re (pow.f64 x.re 6)) (pow.f64 x.im 6))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 y.re (.f64 (pow.f64 x.re 4) (/.f64 -1/4 (pow.f64 x.im 4))))) (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.re (*.f64 (pow.f64 x.re 6) (/.f64 1/6 (pow.f64 x.im 6))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (-.f64 (.f64 y.re (.f64 1/6 (/.f64 (pow.f64 x.re 6) (pow.f64 x.im 6)))) (+.f64 (.f64 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2)) -1/2) (.f64 (/.f64 (*.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4)) 1/4))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 y.re (log.f64 (/.f64 1 x.re))))
(*.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re))
(*.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re))))
(+.f64 (.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 (.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 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re)) (.f64 1/2 (/.f64 (*.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))))
(+.f64 (.f64 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re)) (.f64 y.re (*.f64 (pow.f64 x.im 2) (/.f64 1/2 (pow.f64 x.re 2)))))
(+.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 1 x.re)))) (.f64 (*.f64 y.re (pow.f64 x.im 2)) (/.f64 1/2 (pow.f64 x.re 2))))
(-.f64 (.f64 (.f64 y.re (pow.f64 x.im 2)) (/.f64 1/2 (pow.f64 x.re 2))) (*.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 (.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 (.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 (log.f64 (/.f64 1 x.re)) (neg.f64 y.re)) (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.im 2)) (pow.f64 x.re 2))) (.f64 -1/4 (/.f64 (*.f64 y.re (pow.f64 x.im 4)) (pow.f64 x.re 4)))))
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(+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 y.re (pow.f64 x.re 4)) (pow.f64 x.im 4))) (+.f64 (.f64 1/720 (/.f64 (.f64 y.re (.f64 (pow.f64 x.re 6) 120)) (pow.f64 x.im 6))) (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2))) (.f64 (log.f64 (/.f64 -1 x.im)) (neg.f64 y.re))) (+.f64 (.f64 y.re (.f64 (.f64 (pow.f64 x.re 6) 120) (/.f64 1/720 (pow.f64 x.im 6)))) (.f64 y.re (.f64 (pow.f64 x.re 4) (/.f64 -1/4 (pow.f64 x.im 4))))))
(+.f64 (.f64 y.re (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (-.f64 (.f64 y.re (.f64 1/720 (/.f64 (.f64 (pow.f64 x.re 6) 120) (pow.f64 x.im 6)))) (+.f64 (.f64 y.re (log.f64 (/.f64 -1 x.im))) (.f64 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2)) -1/2))))
(+.f64 (-.f64 (.f64 y.re (.f64 -1/4 (/.f64 (pow.f64 x.re 4) (pow.f64 x.im 4)))) (.f64 (/.f64 (.f64 y.re (pow.f64 x.re 2)) (pow.f64 x.im 2)) -1/2)) (-.f64 (.f64 y.re (.f64 1/720 (/.f64 (.f64 (pow.f64 x.re 6) 120) (pow.f64 x.im 6)))) (.f64 y.re (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im 2) (pow.f64 x.re 2)))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(+.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4) (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(+.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 8) (/.f64 (/.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 3/2)) 2) 2))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(+.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 8) (/.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) 3/2)) 4))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 0)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4) (/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) -2))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 4) (/.f64 (neg.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) 4))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 (/.f64 (/.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 3/2)) 2) 2) (/.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) -2) 2))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(-.f64 (/.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 3/2)) 4) (/.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) -2) 4))
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 2)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 y.re y.re))) 4)
(/.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) (*.f64 y.re 4)) 16)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(/.f64 (.f64 y.re (.f64 (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) 8)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(pow.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 1)
(.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) y.re))
(log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (*.f64 y.re 1/2)))
(log.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) 1/2) y.re))
(log.f64 (pow.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (*.f64 y.re 1/2)))

localize63.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series463.0ms (0.5%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
299.0ms	x.im	@	-inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
78.0ms	x.im	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
34.0ms	x.re	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
27.0ms	x.im	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
17.0ms	y.im	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))

rewrite254.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`rational_best-4`
1060×	`rational_best-2`
1060×	`rational_best-3`
1060×	`rational_best-1`
1060×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	108	55
2	232	55
3	687	55
4	2560	55

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify448.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational_best-simplify-50`
1006×	`rational_best-simplify-62`
860×	`rational_best-simplify-85`
804×	`rational_best-simplify-1`
750×	`rational_best-simplify-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	4153
1	299	4035
2	640	4011
3	1492	3825
4	5916	3751

Stop Event

1×	node limit

Counts

59 → 62

Calls

Call 1

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

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

localize105.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 98 to 16 computations (83.7% saved)

series145.0ms (0.2%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
31.0ms	y.im	@	0	(*.f64 (log.f64 x.re) y.im)
27.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
26.0ms	x.re	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
11.0ms	x.im	@	-inf	(sin.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite345.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational_best-4`
1764×	`rational_best-2`
1764×	`rational_best-3`
1764×	`rational_best-1`
1764×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	98	44
2	274	44
3	875	44
4	3658	44

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 0) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (+.f64 (*.f64 (sin.f64 0) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (sin.f64 0) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (log.f64 x.re) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 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simplify386.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

834×	`rational_best-simplify-3`
768×	`rational_best-simplify-65`
686×	`rational_best-simplify-51`
658×	`rational_best-simplify-48`
642×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	9846
1	777	9712
2	2202	9340

Stop Event

1×	node limit

Counts

162 → 202

Calls

Call 1

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

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

localize124.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	56.1b	(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 150 to 31 computations (79.3% saved)

series19.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x.re	@	inf	(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	0	(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.re	@	-inf	(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	inf	(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))
1.0ms	x.im	@	-inf	(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))

rewrite204.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`rational_best-simplify-51`
822×	`rational_best-simplify-57`
766×	`rational_best-4`
766×	`rational_best-2`
766×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	88	31
2	163	31
3	470	17
4	1802	17

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 y.re (atan2.f64 x.im x.re))))

Outputs

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

simplify340.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

940×	`rational_best-simplify-1`
864×	`rational_best-simplify-108`
808×	`rational_best-simplify-56`
774×	`rational_best-simplify-3`
664×	`rational_best-simplify-81`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2726
1	378	2708
2	1029	2684
3	4355	2636

Stop Event

1×	node limit

Counts

96 → 85

Calls

Call 1

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

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

localize275.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.1b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	17.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	28.7b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 186 to 22 computations (88.2% saved)

eval2.6s (2.7%)

Compiler: Compiled 57762 to 17861 computations (69.1% saved)

prune2.5s (2.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1414	16	1430
Fresh	3	14	17
Picked	1	0	1
Done	4	0	4
Total	1422	30	1452

Error

2.8b

Counts

1452 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	32.7b	(.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
▶	42.1b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
▶	26.6b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (/.f64 (-.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (PI.f64)) 2)))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (.f64 2 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) 2))
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (.f64 2 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2))
	30.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 4)) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (/.f64 (PI.f64) 4)) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	31.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 -1 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) 1))
	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))) (+.f64 (.f64 y.im (.f64 (log.f64 x.re) 1)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
	44.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	30.9b	(.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))) (neg.f64 (-.f64 (/.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (/.f64 (PI.f64) -2))) 2) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) 3/2))))
	41.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	38.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	41.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	45.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	45.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re)))))
	39.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 (log.f64 x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	57.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re)))))
	55.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (.f64 2 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2))
	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) (sin.f64 (/.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))) 2))))))
	47.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (-.f64 -1 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) 1)))
▶	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))
	47.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	55.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 2128 to 1202 computations (43.5% saved)

localize108.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.9b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 127 to 27 computations (78.7% saved)

series198.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
178.0ms	y.re	@	0	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
13.0ms	x.re	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	x.re	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	x.im	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
1.0ms	x.im	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite271.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`rational_best-simplify-47`
718×	`rational_best-simplify-63`
706×	`rational_best-simplify-52`
674×	`rational_best-4`
674×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	74	52
2	161	52
3	487	52
4	1759	52

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify425.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational_best-simplify-3`
1090×	`rational_best-simplify-75`
1084×	`rational_best-simplify-1`
988×	`rational_best-simplify-76`
820×	`rational_best-simplify-66`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	4469
1	534	4469
2	1314	4469
3	4328	4469

Stop Event

1×	node limit

Counts

103 → 185

Calls

Call 1

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

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

localize34.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	17.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

9 calls:

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

rewrite192.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	76	29
2	174	29
3	481	29
4	1670	29

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify237.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational_best-simplify-48`
918×	`rational_best-simplify-52`
876×	`rational_best-simplify-47`
816×	`rational_best-simplify-51`
736×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1444
1	286	1428
2	670	1428
3	1592	1392

Stop Event

1×	node limit

Counts

34 → 46

Calls

Call 1

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

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

localize200.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	2.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	17.8b	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series98.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
27.0ms	x.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
23.0ms	x.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
1.0ms	x.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
1.0ms	y.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)

rewrite197.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify178.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 32

Calls

Call 1

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

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

localize117.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.3b	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 105 to 17 computations (83.8% saved)

series193.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
28.0ms	x.im	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	0	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	inf	(sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite383.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`rational_best-4`
1960×	`rational_best-2`
1960×	`rational_best-3`
1960×	`rational_best-1`
1960×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	121	48
2	322	48
3	1009	48
4	4167	48

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

simplify552.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

842×	`rational_best-simplify-3`
778×	`rational_best-simplify-65`
710×	`rational_best-simplify-48`
682×	`rational_best-simplify-52`
664×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	12404
1	890	11606
2	2382	11512

Stop Event

1×	node limit

Counts

178 → 196

Calls

Call 1

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

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

localize167.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	3.0b	(*.f64 (atan2.f64 x.im x.re) y.im)
	29.9b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	55.8b	(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 181 to 33 computations (81.8% saved)

series43.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	x.im	@	0	(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	inf	(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	inf	(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	-inf	(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.re	@	0	(cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite312.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`rational_best-4`
1522×	`rational_best-2`
1522×	`rational_best-3`
1522×	`rational_best-1`
1520×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	136	65
2	273	65
3	862	65
4	3534	65

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify1.0s (1.1%)

Algorithm

1×	egg-herbie

Rules

1118×	`rational_best-simplify-62`
972×	`rational_best-simplify-1`
914×	`rational_best-simplify-50`
640×	`rational_best-simplify-56`
610×	`rational_best-simplify-108`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	389	12387
1	986	12381
2	2221	12333
3	6293	12241

Stop Event

1×	node limit

Counts

95 → 167

Calls

Call 1

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

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

eval4.3s (4.6%)

Compiler: Compiled 59466 to 23918 computations (59.8% saved)

prune2.9s (3.1%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1406	7	1413
Fresh	5	20	25
Picked	1	0	1
Done	0	4	4
Total	1412	31	1443

Error

2.8b

Counts

1443 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	32.7b	(.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))
	42.1b	(.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))
	41.6b	(.f64 (sin.f64 (+.f64 (-.f64 -1 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) 1)) (pow.f64 x.im y.re))
✓	42.1b	(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	31.2b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (-.f64 -1 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))) 1))
✓	26.6b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (-.f64 (.f64 (PI.f64) 1/2) (.f64 (atan2.f64 x.im x.re) y.re)))) (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (/.f64 (-.f64 (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (PI.f64)) 2)))) (.f64 (sin.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im)) (.f64 2 (cos.f64 (.f64 (atan2.f64 x.im x.re) y.re))))) 2))
	44.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (.f64 2 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2))
	30.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) 4)) (cos.f64 (-.f64 (/.f64 (PI.f64) 4) (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sin.f64 (/.f64 (PI.f64) 4)) (sin.f64 (-.f64 (/.f64 (PI.f64) 4) (*.f64 y.re (atan2.f64 x.im x.re)))))))
	44.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	41.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	38.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	41.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	45.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	45.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re)))))
	39.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 (log.f64 x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
	46.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))
	57.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (pow.f64 x.re 2) (/.f64 -1/2 x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	49.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re)))))
	55.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (/.f64 (+.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (-.f64 (.f64 1/2 (PI.f64)) (.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 1/2 (-.f64 (PI.f64) (.f64 y.im (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (.f64 2 (sin.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 y.re (atan2.f64 x.im x.re))))))) 2))
	51.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 -2 (neg.f64 (.f64 (cos.f64 (/.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))) 2)) (sin.f64 (/.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))) 2))))))
✓	49.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	53.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
	52.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re))))
	47.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (.f64 1/2 (-.f64 (PI.f64) (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -2)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
	46.9b	(.f64 (cos.f64 (-.f64 (.f64 (PI.f64) 1/2) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
	49.0b	(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 1010 to 574 computations (43.2% saved)

regimes4.2s (4.4%)

Counts

53 → 6

Calls

Call 1

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

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

Calls

5 calls:

1.6s	y.im
1.3s	y.re
572.0ms	x.re
474.0ms	x.im
69.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
10.6b	6	`x.re`
15.0b	5	`x.im`
13.7b	11	`y.re`
20.3b	7	`y.im`
15.7b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1710 to 380 computations (77.8% saved)

bsearch509.0ms (0.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
164.0ms	6.848673705520287e-23	7.73186169737251e-8
107.0ms	8.911830026050499e-280	5.035736436603972e-278
59.0ms	-1.713548218633534e-288	-1.3400296688133695e-288
44.0ms	-1.1694047741181457e-209	-7.526000169085054e-210
133.0ms	-3.2744558547758545e-57	-3.0342458431257234e-65

Results

360.0ms	516×	body	256	valid
49.0ms	30×	body	1024	infinite
27.0ms	17×	body	512	infinite
17.0ms	13×	body	256	infinite
5.0ms	5×	body	1024	valid
5.0ms	7×	body	512	valid

Compiler

Compiled 2086 to 1213 computations (41.9% saved)

regimes2.0s (2.1%)

Counts

39 → 6

Calls

Call 1

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

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

Calls

4 calls:

535.0ms	y.im
472.0ms	x.im
360.0ms	x.re
357.0ms	y.re

Results

Error	Segments	Branch
15.4b	5	`x.re`
14.3b	6	`x.im`
17.1b	5	`y.re`
23.8b	4	`y.im`

Compiler

Compiled 903 to 199 computations (78% saved)

bsearch1.1s (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
59.0ms	2.9123916061477413e-134	3.9938959274997664e-134
123.0ms	1.1431951154679927e-242	7.49376988573043e-242
314.0ms	5.183507430884605e-266	2.5143666022303605e-262
554.0ms	-1.370503975886337e-223	-2.9804220563790536e-229
0.0ms	-1.343491708701758e+32	-1.2956941080642714e+32

Results

776.0ms	375×	body	256	valid
71.0ms	41×	body	1024	infinite
62.0ms	30×	body	512	infinite
51.0ms	31×	body	256	infinite
51.0ms	29×	body	1024	valid
24.0ms	12×	body	512	valid
3.0ms	2×	body	2048	infinite

Compiler

Compiled 1323 to 804 computations (39.2% saved)

regimes4.0s (4.3%)

Counts

35 → 7

Calls

Call 1

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

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

Calls

4 calls:

1.2s	x.im
1.2s	y.re
866.0ms	x.re
396.0ms	y.im

Results

Error	Segments	Branch
15.1b	7	`x.re`
16.3b	4	`x.im`
17.1b	5	`y.re`
23.8b	4	`y.im`

Compiler

Compiled 775 to 175 computations (77.4% saved)

bsearch1.2s (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
233.0ms	8.777603183183889e+147	1.4335020010742385e+163
306.0ms	1.4640582701928089e-105	5.1501665919979826e-105
99.0ms	8.911830026050499e-280	5.035736436603972e-278
38.0ms	-1.713548218633534e-288	-1.3400296688133695e-288
367.0ms	-1.1694047741181457e-209	-7.526000169085054e-210
156.0ms	-3.2744558547758545e-57	-3.0342458431257234e-65

Results

393.0ms	596×	body	256	valid
255.0ms	23×	body	1024	infinite
154.0ms	8×	body	512	valid
20.0ms	4×	body	1024	valid
14.0ms	21×	body	512	infinite
5.0ms	13×	body	256	infinite

Compiler

Compiled 2212 to 1303 computations (41.1% saved)

regimes2.1s (2.3%)

Counts

32 → 4

Calls

Call 1

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

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

Calls

4 calls:

882.0ms	x.re
417.0ms	y.im
402.0ms	x.im
395.0ms	y.re

Results

Error	Segments	Branch
16.9b	6	`x.re`
16.3b	4	`x.im`
18.2b	3	`y.re`
23.8b	4	`y.im`

Compiler

Compiled 683 to 161 computations (76.4% saved)

bsearch598.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
64.0ms	2.9123916061477413e-134	3.9938959274997664e-134
308.0ms	1.0458403657572933e-292	1.5121399159825615e-292
225.0ms	-7.616014147047407	-2.5066234696349957e-5

Results

398.0ms	229×	body	256	valid
152.0ms	38×	body	1024	infinite
21.0ms	6×	body	1024	valid
13.0ms	20×	body	512	infinite
3.0ms	5×	body	512	valid
3.0ms	9×	body	256	infinite

Compiler

Compiled 888 to 526 computations (40.8% saved)

regimes1.5s (1.6%)

Counts

28 → 4

Calls

Call 1

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

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

Calls

4 calls:

685.0ms	x.re
364.0ms	y.im
266.0ms	x.im
201.0ms	y.re

Results

Error	Segments	Branch
16.9b	6	`x.re`
16.5b	4	`x.im`
18.4b	3	`y.re`
24.2b	4	`y.im`

Compiler

Compiled 569 to 145 computations (74.5% saved)

bsearch319.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
57.0ms	2.9123916061477413e-134	3.9938959274997664e-134
67.0ms	1.0458403657572933e-292	1.5121399159825615e-292
194.0ms	-7.616014147047407	-2.5066234696349957e-5

Results

163.0ms	229×	body	256	valid
115.0ms	27×	body	1024	infinite
17.0ms	6×	body	1024	valid
6.0ms	9×	body	512	infinite
3.0ms	5×	body	512	valid
3.0ms	2×	body	2048	infinite
3.0ms	8×	body	256	infinite

Compiler

Compiled 888 to 526 computations (40.8% saved)

regimes1.1s (1.1%)

Counts

27 → 5

Calls

Call 1

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

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

Calls

4 calls:

356.0ms	x.re
315.0ms	x.im
220.0ms	y.im
155.0ms	y.re

Results

Error	Segments	Branch
20.2b	3	`x.re`
16.8b	5	`x.im`
18.4b	3	`y.re`
24.2b	4	`y.im`

Compiler

Compiled 544 to 144 computations (73.5% saved)

bsearch739.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
312.0ms	1.9407539308596852e-109	1.2519410825370482e-105
95.0ms	1.1031601184258659e-225	2.064275647747918e-225
164.0ms	2.2470133486006714e-278	2.7987487239481007e-275
167.0ms	-7.616014147047407	-2.5066234696349957e-5

Results

430.0ms	437×	body	256	valid
154.0ms	57×	body	1024	infinite
42.0ms	7×	body	2048	infinite
39.0ms	16×	body	512	valid
28.0ms	11×	body	1024	valid
26.0ms	21×	body	512	infinite
7.0ms	21×	body	256	infinite

Compiler

Compiled 1694 to 1002 computations (40.9% saved)

regimes1.9s (2%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

1.0s	x.im
269.0ms	x.re
168.0ms	y.im
123.0ms	y.re

Results

Error	Segments	Branch
20.2b	3	`x.re`
19.3b	5	`x.im`
18.4b	3	`y.re`
24.2b	4	`y.im`

Compiler

Compiled 426 to 122 computations (71.4% saved)

bsearch868.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
803.0ms	6.000109404853017e+41	1.4373856346139683e+156
65.0ms	-2.689120466030369e-11	-1.7720787376121134e-11

Results

232.0ms	95×	body	1024	infinite
204.0ms	33×	body	2048	infinite
196.0ms	271×	body	256	valid
127.0ms	116×	body	512	infinite
83.0ms	90×	body	256	infinite
1.0ms	1×	body	512	valid

Compiler

Compiled 847 to 501 computations (40.9% saved)

regimes737.0ms (0.8%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

4 calls:

261.0ms	x.re
252.0ms	y.re
145.0ms	y.im
72.0ms	x.im

Results

Error	Segments	Branch
22.3b	4	`x.re`
25.1b	3	`x.im`
24.9b	3	`y.re`
27.1b	5	`y.im`

Compiler

Compiled 142 to 62 computations (56.3% saved)

bsearch582.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
375.0ms	1.0581109422897054e-277	6.132418448795732e-268
57.0ms	-1.1694047741181457e-209	-7.526000169085054e-210
150.0ms	-7.004145020323319e-165	-2.1301530910890092e-167

Results

481.0ms	352×	body	256	valid
46.0ms	23×	body	512	infinite
39.0ms	23×	body	1024	infinite
2.0ms	2×	body	256	infinite

Compiler

Compiled 858 to 515 computations (40% saved)

regimes731.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

216.0ms	y.im
110.0ms	x.re
91.0ms	y.re
70.0ms	x.im

Results

Error	Segments	Branch
26.8b	4	`x.re`
25.1b	3	`x.im`
24.9b	3	`y.re`
27.1b	5	`y.im`

Compiler

Compiled 124 to 56 computations (54.8% saved)

bsearch1.3s (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.2s	6.000109404853017e+41	1.4373856346139683e+156
121.0ms	-2.1923664294675795e+47	-2.358259831676468e+45

Results

522.0ms	320×	body	256	valid
453.0ms	69×	body	1024	infinite
188.0ms	119×	body	512	infinite
67.0ms	96×	body	256	infinite
59.0ms	18×	body	2048	infinite

Compiler

Compiled 668 to 405 computations (39.4% saved)

regimes239.0ms (0.3%)

Accuracy

Total -21.5b remaining (-59.4%)

Threshold costs -21.5b (-59.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

110.0ms	y.im
59.0ms	y.re
53.0ms	x.im
14.0ms	x.re

Results

Error	Segments	Branch
40.6b	2	`x.re`
38.0b	3	`x.im`
36.2b	3	`y.re`
40.7b	3	`y.im`

Compiler

Compiled 48 to 26 computations (45.8% saved)

bsearch609.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
334.0ms	620713667.3439965	1.1740825806079299e+20
274.0ms	-1.5144181100466933e+20	-73006556698757200.0

Results

346.0ms	288×	body	256	valid
154.0ms	196×	body	256	infinite
43.0ms	24×	body	512	infinite
21.0ms	16×	body	1024	infinite

Compiler

Compiled 480 to 313 computations (34.8% saved)

simplify90.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	3073

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re -6662684836724463/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -7954879899750849/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re 463034951812055/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 2535301200456459/10141204801825835211973625643008) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.im (.f64 (log.f64 x.re) 1)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 (log.f64 x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 x.im -130000000000000008777450716659712) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im -7169449118232419/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 4254389501031255/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.im 5525532386000259/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (if (<=.f64 x.im 7365128867766319/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))))
(if (<=.f64 x.re -6368564908052391/57896044618658097711785492504343953926634992332820282019728792003956564819968) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re -3701491575958035/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -925783436608935/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re 4151347843832217/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 8263199609878107/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 x.im -4150517416584649/9223372036854775808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 2584183881364579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))))
(if (<=.f64 x.im -1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 5842502688302527/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 7365128867766319/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))))
(if (<=.f64 x.im -1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 5769225894748799/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 4167509020549909/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 3305279843951243/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 y.re -2050338190066411/77371252455336267181195264) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.re -6639224910209589/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -1064178828087935/92537289398950870940028398541361245826297164983552492328825714470508751433275752444915676643171696540742381256647769999871944191701103114571826891603540250015524326325705641838924007751440909196452081155402449891024401596416) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 1187710145139375/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -84999999999999995613932817370808605564993536000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 429999999999999991310973036577526963581745198397338277464330621910353694425088) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 y.re -75000000000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 640000000) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

Outputs
(if (<=.f64 x.re -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re -6662684836724463/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -7954879899750849/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re 463034951812055/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 2535301200456459/10141204801825835211973625643008) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 y.im (.f64 (log.f64 x.re) 1)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.im (.f64 (log.f64 x.re) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
(if (<=.f64 x.im -130000000000000008777450716659712) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im -7169449118232419/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 4254389501031255/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.im 5525532386000259/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.im (log.f64 x.re)))) (if (<=.f64 x.im 7365128867766319/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))))
(if (<=.f64 x.re -6368564908052391/57896044618658097711785492504343953926634992332820282019728792003956564819968) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re -3701491575958035/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -925783436608935/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (if (<=.f64 x.re 4151347843832217/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.re 8263199609878107/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))))))
(if (<=.f64 x.im -4150517416584649/9223372036854775808) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 2584183881364579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 3068803694902633/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))))
(if (<=.f64 x.im -1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 5842502688302527/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 7365128867766319/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))))))
(if (<=.f64 x.im -1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im 5769225894748799/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.im 4167509020549909/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))) (if (<=.f64 x.im 3305279843951243/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))))))
(if (<=.f64 y.re -2050338190066411/77371252455336267181195264) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 y.re 950000000000000005394402093143276789896967279457207198817191922725347077097124152082758222630354944) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 x.re -6639224910209589/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))) (if (<=.f64 x.re -1064178828087935/92537289398950870940028398541361245826297164983552492328825714470508751433275752444915676643171696540742381256647769999871944191701103114571826891603540250015524326325705641838924007751440909196452081155402449891024401596416) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 x.re 1187710145139375/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re -84999999999999995613932817370808605564993536000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 429999999999999991310973036577526963581745198397338277464330621910353694425088) (.f64 (atan2.f64 x.im x.re) (/.f64 y.re (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(if (<=.f64 y.re -75000000000000000) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re)) (if (<=.f64 y.re 640000000) (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 x.im y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))

Compiler

Compiled 1090 to 468 computations (57.1% saved)

soundness2.0s (2.2%)

Algorithm

5×	egg-herbie

Rules

1234×	`rational_best-simplify-50`
1006×	`rational_best-simplify-62`
1004×	`rational_best-simplify-52`
1004×	`rational_best-simplify-52`
1004×	`rational_best-simplify-52`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	754	33347
1	2026	32797
2	5188	32701
0	754	33347
1	2026	32797
2	5188	32701
0	126	4153
1	299	4035
2	640	4011
3	1492	3825
4	5916	3751
0	754	33347
1	2026	32797
2	5188	32701
0	754	33347
1	2026	32797
2	5188	32701

Stop Event

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

Compiler

Compiled 561 to 198 computations (64.7% saved)

end607.0ms (0.6%)

Compiler: Compiled 1050 to 221 computations (79% saved)