Details

analyze430.0ms (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)

sample6.0s (25.2%)

Results

2.4s	2509×	body	1024	infinite
2.3s	7916×	body	256	valid
532.0ms	994×	body	512	infinite
412.0ms	1040×	body	256	infinite
113.0ms	188×	body	1024	valid
65.0ms	143×	body	512	valid
37.0ms	38×	body	2048	infinite
9.0ms	9×	body	2048	valid

Bogosity

preprocess198.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1410×	`rational_best.json-simplify-46`
1050×	`rational_best.json-simplify-2`
1028×	`rational_best.json-simplify-45`
806×	`rational_best.json-simplify-52`
774×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	205	805
2	319	805
3	514	805
4	707	805
5	905	805
6	1370	805
7	2705	805
8	6819	805
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

simplify323.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best.json-simplify-1`
866×	`trig.json-simplify-11`
740×	`rational_best.json-simplify-2`
692×	`rational_best.json-simplify-51`
664×	`rational_best.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	41	115
2	63	115
3	94	115
4	124	115
5	154	115
6	226	115
7	424	115
8	1033	115
9	2634	115
10	5409	115

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

34.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Error

Program

▶

34.9b

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

Compiler

Compiled 41 to 19 computations (53.7% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	30.2b	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
✓	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series88.0ms (0.4%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
67.0ms	y.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational_best.json-5`
1324×	`rational_best.json-2`
1324×	`rational_best.json-3`
1324×	`rational_best.json-1`
1324×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	163	104
2	622	104
3	2743	104

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

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

simplify421.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

986×	`rational_best.json-simplify-1`
824×	`rational_best.json-simplify-45`
822×	`rational_best.json-simplify-2`
748×	`rational_best.json-simplify-43`
702×	`rational_best.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	11426
1	944	11222
2	1710	11146
3	3627	11146
4	7150	11146

Stop Event

1×	node limit

Counts

176 → 250

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

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

eval765.0ms (3.2%)

Compiler: Compiled 21553 to 8198 computations (62% saved)

prune332.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	310	7	317
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	311	7	318

Error

20.4b

Counts

318 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	38.2b	(.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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) -1/2)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) 2)))))
	38.2b	(.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 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im))) (.f64 -1/2 (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) 2) (.f64 (pow.f64 y.im 2) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))))
▶	42.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	38.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	39.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	20.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 642 to 386 computations (39.9% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.6b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 128 to 17 computations (86.7% saved)

series4.0ms (0%)

Counts

2 → 4

Calls

18 calls:

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

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`rational_best.json-simplify-57`
612×	`rational_best.json-simplify-43`
552×	`rational_best.json-simplify-44`
546×	`rational_best.json-2`
546×	`rational_best.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	75	30
2	264	30
3	1149	30
4	5108	30

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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

Outputs

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

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

simplify271.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1886×	`rational_best.json-simplify-78`
1278×	`rational_best.json-simplify-44`
966×	`rational_best.json-simplify-129`
674×	`rational_best.json-simplify-132`
594×	`rational_best.json-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	977
1	245	977
2	493	977
3	2379	977
4	6196	977

Stop Event

1×	node limit

Counts

53 → 62

Calls

Call 1

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

localize143.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	14.4b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series65.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
12.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
10.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`rational_best.json-5`
992×	`rational_best.json-2`
992×	`rational_best.json-3`
992×	`rational_best.json-1`
992×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	116	33
2	456	33
3	2038	33

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify207.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

974×	`rational_best.json-simplify-1`
776×	`rational_best.json-simplify-2`
730×	`rational_best.json-simplify-49`
692×	`rational_best.json-simplify-50`
420×	`rational_best.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	3102
1	296	3074
2	574	3044
3	1344	3044
4	3165	3044
5	6611	3044

Stop Event

1×	node limit

Counts

76 → 74

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	16.4b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series56.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
9.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
7.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`rational_best.json-5`
992×	`rational_best.json-2`
992×	`rational_best.json-3`
992×	`rational_best.json-1`
992×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	116	33
2	456	33
3	2038	33

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify211.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

972×	`rational_best.json-simplify-1`
784×	`rational_best.json-simplify-2`
732×	`rational_best.json-simplify-49`
692×	`rational_best.json-simplify-50`
420×	`rational_best.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	3096
1	299	3048
2	579	3022
3	1352	3022
4	3175	3022
5	6617	3022

Stop Event

1×	node limit

Counts

76 → 75

Calls

Call 1

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

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

localize197.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.9b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series167.0ms (0.7%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
142.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
14.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	y.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite170.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`rational_best.json-5`
1026×	`rational_best.json-2`
1026×	`rational_best.json-3`
1026×	`rational_best.json-1`
1026×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	128	37
2	496	37
3	2145	37

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify552.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best.json-simplify-1`
788×	`rational_best.json-simplify-2`
732×	`rational_best.json-simplify-49`
692×	`rational_best.json-simplify-50`
420×	`rational_best.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	3430
1	319	3390
2	609	3350
3	1405	3350
4	3261	3350
5	6746	3350

Stop Event

1×	node limit

Counts

76 → 72

Calls

Call 1

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

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

localize170.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.0b	(log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2)))
✓	7.2b	(/.f64 (pow.f64 x.re 2) x.im)
✓	16.1b	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 228 to 79 computations (65.4% saved)

series20.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
3.0ms	x.im	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
2.0ms	x.re	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))

rewrite132.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational_best.json-5`
1260×	`rational_best.json-2`
1260×	`rational_best.json-3`
1260×	`rational_best.json-1`
1260×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	176	107
2	624	107
3	2659	107

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im)) (*.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) 2)) (+.f64 (*.f64 (sin.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 (neg.f64 x.im) (*.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 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simplify573.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational_best.json-simplify-2`
1166×	`rational_best.json-simplify-1`
628×	`rational_best.json-simplify-49`
586×	`rational_best.json-simplify-50`
586×	`rational_best.json-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	13244
1	999	13064
2	2035	13052
3	3962	13052
4	7591	13052

Stop Event

1×	node limit

Counts

134 → 268

Calls

Call 1

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

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

eval1.1s (4.7%)

Compiler: Compiled 51177 to 19168 computations (62.5% saved)

prune673.0ms (2.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	932	14	946
Fresh	2	0	2
Picked	1	0	1
Done	4	0	4
Total	939	14	953

Error

2.5b

Counts

953 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	42.9b	(.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 1 (cos.f64 (.f64 2 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 (neg.f64 x.im) (.f64 (/.f64 (pow.f64 x.re 2) x.im) -1/2))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	49.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (neg.f64 x.im))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	42.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
▶	20.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	49.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	32.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	46.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	40.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 918 to 562 computations (38.8% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
✓	0.2b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series30.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
2.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
0.0ms	x.im	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`rational_best.json-5`
954×	`rational_best.json-2`
954×	`rational_best.json-3`
954×	`rational_best.json-1`
954×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	138	84
2	484	84
3	2051	84

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

simplify243.0ms (1%)

Algorithm

1×	egg-herbie

Rules

774×	`rational_best.json-simplify-80`
744×	`rational_best.json-simplify-47`
706×	`rational_best.json-simplify-24`
704×	`rational_best.json-simplify-78`
698×	`rational_best.json-simplify-33`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	7395
1	414	7187
2	635	7091
3	1073	7091
4	3284	7091
5	6058	7091

Stop Event

1×	node limit

Counts

117 → 230

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.6b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 72 to 13 computations (81.9% saved)

series12.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.re)
0.0ms	x.im	@	inf	(*.f64 (log.f64 x.im) y.re)

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`rational_best.json-5`
1886×	`rational_best.json-2`
1886×	`rational_best.json-3`
1886×	`rational_best.json-1`
1886×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	59	11
2	207	11
3	869	11
4	3784	11

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify169.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1752×	`rational_best.json-simplify-80`
1352×	`rational_best.json-simplify-78`
1088×	`rational_best.json-simplify-44`
1038×	`rational_best.json-simplify-132`
914×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	488
1	48	472
2	88	472
3	212	472
4	822	472
5	2516	472
6	4213	472
7	6773	472

Stop Event

1×	node limit

Counts

32 → 16

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
	1.3b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.6b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series68.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
9.0ms	x.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
8.0ms	x.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
0.0ms	x.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2038×	`rational_best.json-2`
2038×	`rational_best.json-1`
2036×	`rational_best.json-5`
2034×	`rational_best.json-3`
2034×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	71	15
2	247	15
3	974	15
4	4187	15

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify169.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational_best.json-simplify-80`
1354×	`rational_best.json-simplify-78`
1090×	`rational_best.json-simplify-44`
1040×	`rational_best.json-simplify-132`
930×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	608
1	57	592
2	98	592
3	222	592
4	832	592
5	2536	592
6	4232	592
7	6797	592

Stop Event

1×	node limit

Counts

32 → 17

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.im)
	1.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	16.4b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series103.0ms (0.4%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
102.0ms	y.im	@	0	(*.f64 (log.f64 x.re) y.im)
0.0ms	y.im	@	inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	y.im	@	-inf	(*.f64 (log.f64 x.re) y.im)
0.0ms	x.re	@	0	(*.f64 (log.f64 x.re) y.im)
0.0ms	x.re	@	-inf	(*.f64 (log.f64 x.re) y.im)

rewrite324.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`rational_best.json-5`
1886×	`rational_best.json-2`
1886×	`rational_best.json-3`
1886×	`rational_best.json-1`
1886×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	59	11
2	207	11
3	869	11
4	3784	11

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify166.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational_best.json-simplify-80`
1354×	`rational_best.json-simplify-78`
1094×	`rational_best.json-simplify-44`
1040×	`rational_best.json-simplify-132`
920×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	312
1	48	296
2	88	296
3	212	296
4	822	296
5	2524	296
6	4222	296
7	6773	296

Stop Event

1×	node limit

Counts

16 → 14

Calls

Call 1

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

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

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.0b	(log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
	7.2b	(/.f64 (pow.f64 x.re 2) x.im)
✓	11.5b	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 185 to 66 computations (64.3% saved)

series39.0ms (0.2%)

Counts

2 → 52

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	x.im	@	0	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.re	@	inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.im	@	inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.im	@	-inf	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))
1.0ms	x.re	@	0	(cos.f64 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im))

rewrite150.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`rational_best.json-simplify-44`
792×	`rational_best.json-2`
792×	`rational_best.json-1`
792×	`rational_best.json-5`
790×	`rational_best.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	122	68
2	398	68
3	1704	68
4	7542	68

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify232.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1474×	`rational_best.json-simplify-80`
1412×	`rational_best.json-simplify-78`
1188×	`rational_best.json-simplify-135`
1072×	`rational_best.json-simplify-2`
868×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	388	9287
1	814	9125
2	1709	9125
3	5250	9125

Stop Event

1×	node limit

Counts

103 → 226

Calls

Call 1

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

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

eval1.6s (6.9%)

Compiler: Compiled 39266 to 19084 computations (51.4% saved)

prune294.0ms (1.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	884	13	897
Fresh	4	5	9
Picked	1	0	1
Done	2	2	4
Total	891	20	911

Error

2.5b

Counts

911 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.9b	(.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))) 1)
▶	46.2b	(.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 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))))
	46.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	42.9b	(.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 1 (cos.f64 (.f64 2 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))) 2) (/.f64 1 (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))))
	49.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (neg.f64 x.im))) y.im)))
	49.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	32.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
	46.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	52.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	40.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	40.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	27.8b	(.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (neg.f64 x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
▶	19.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 1119 to 703 computations (37.2% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.1b	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`rational_best.json-simplify-57`
900×	`rational_best.json-simplify-82`
690×	`rational_best.json-simplify-80`
626×	`rational_best.json-simplify-44`
548×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	79	17
2	273	17
3	1084	17
4	4747	17

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify144.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1216×	`rational_best.json-simplify-80`
1110×	`rational_best.json-simplify-82`
1080×	`rational_best.json-simplify-78`
1004×	`rational_best.json-simplify-2`
930×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	816
1	62	816
2	111	816
3	285	816
4	1376	816
5	3623	816
6	5354	816

Stop Event

1×	node limit

Counts

48 → 16

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 (log.f64 x.im) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 57 to 13 computations (77.2% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational_best.json-simplify-57`
736×	`rational_best.json-simplify-44`
686×	`rational_best.json-5`
684×	`rational_best.json-2`
684×	`rational_best.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	100	29
2	346	29
3	1475	29
4	6499	29

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational_best.json-simplify-2`
1108×	`rational_best.json-simplify-80`
998×	`rational_best.json-simplify-78`
624×	`rational_best.json-simplify-49`
584×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	2475
1	166	2459
2	589	2459
3	2302	2459
4	4679	2459

Stop Event

1×	node limit

Counts

79 → 51

Calls

Call 1

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

localize122.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 2)
✓	0.2b	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	32.6b	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 119 to 28 computations (76.5% saved)

series113.0ms (0.5%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
106.0ms	y.re	@	0	(.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
1.0ms	x.re	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.re	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.im	@	0	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
0.0ms	x.im	@	inf	(log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

rewrite129.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`rational_best.json-simplify-44`
694×	`rational_best.json-5`
692×	`rational_best.json-2`
692×	`rational_best.json-3`
692×	`rational_best.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	109	87
2	357	87
3	1483	87
4	7264	87

Stop Event

1×	node limit

Counts

3 → 51

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

Outputs

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

simplify304.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational_best.json-simplify-129`
900×	`rational_best.json-simplify-80`
830×	`rational_best.json-simplify-78`
778×	`rational_best.json-simplify-1`
768×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	7077
1	548	7037
2	1348	7005
3	3710	7005

Stop Event

1×	node limit

Counts

147 → 287

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

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

localize85.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.re) y.re)
	1.3b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.1b	(*.f64 (atan2.f64 x.im x.re) y.im)
	14.4b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 98 to 16 computations (83.7% saved)

series9.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`rational_best.json-5`
1886×	`rational_best.json-2`
1886×	`rational_best.json-3`
1886×	`rational_best.json-1`
1886×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	59	11
2	207	11
3	869	11
4	3784	11

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify236.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1752×	`rational_best.json-simplify-80`
1352×	`rational_best.json-simplify-78`
1088×	`rational_best.json-simplify-44`
1038×	`rational_best.json-simplify-132`
914×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	488
1	48	472
2	88	472
3	212	472
4	822	472
5	2516	472
6	4213	472
7	6773	472

Stop Event

1×	node limit

Counts

32 → 16

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.re)) y.re))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(.f64 y.re (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.re)))))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(*.f64 y.re (log.f64 x.re))
(+.f64 (*.f64 (log.f64 x.re) y.re) 0)
(+.f64 0 (*.f64 (log.f64 x.re) y.re))
(-.f64 (*.f64 (log.f64 x.re) y.re) 0)
(/.f64 (*.f64 (log.f64 x.re) y.re) 1)
(/.f64 (.f64 (log.f64 x.re) y.re) (/.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (log.f64 x.re) y.re)))
(/.f64 (*.f64 (log.f64 x.re) (+.f64 y.re y.re)) 2)
(pow.f64 (*.f64 (log.f64 x.re) y.re) 1)
(log.f64 (pow.f64 x.re y.re))

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))))
	7.0b	(log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))
	7.2b	(/.f64 (pow.f64 x.re 2) x.im)
	31.3b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 226 to 99 computations (56.2% saved)

series73.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	x.im	@	-inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))))
14.0ms	y.re	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))))
6.0ms	x.re	@	0	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))))
4.0ms	x.re	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))))
4.0ms	x.im	@	inf	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))))

rewrite152.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational_best.json-5`
1612×	`rational_best.json-2`
1612×	`rational_best.json-3`
1612×	`rational_best.json-1`
1612×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	113
1	250	113
2	817	113
3	3499	113

Stop Event

1×	node limit

Counts

1 → 7

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

Outputs

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

simplify362.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1148×	`rational_best.json-simplify-80`
1142×	`rational_best.json-simplify-2`
1108×	`rational_best.json-simplify-47`
1098×	`rational_best.json-simplify-43`
1078×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	631	20837
1	1529	20293
2	2749	19521
3	3884	19483
4	4890	19459
5	6535	19459

Stop Event

1×	node limit

Counts

55 → 152

Calls

Call 1

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

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

eval689.0ms (2.9%)

Compiler: Compiled 53812 to 31600 computations (41.3% saved)

prune479.0ms (2%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	824	6	830
Fresh	1	12	13
Picked	1	0	1
Done	2	4	6
Total	828	22	850

Error

2.5b

Counts

850 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	48.6b	(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 (.f64 y.im (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im))) 2))) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
	29.6b	(.f64 (exp.f64 (-.f64 (/.f64 (.f64 (log.f64 (pow.f64 x.im 2)) y.re) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	20.9b	(.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))) 1)
	42.9b	(.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 1 (cos.f64 (.f64 2 (.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))) 2) (/.f64 1 (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))))
	49.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))) (log.f64 (neg.f64 x.im))) y.im)))
	49.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	36.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	36.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	32.8b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	52.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
	46.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	52.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x.re 2) x.im)) x.im)) y.im)))
	34.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	52.0b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	34.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	52.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	40.6b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	38.2b	(.f64 (exp.f64 (-.f64 (.f64 y.re (neg.f64 (log.f64 (/.f64 -1 x.im)))) (.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 1 (.f64 -1/2 (pow.f64 (*.f64 y.im (log.f64 (/.f64 -1 x.im))) 2))))
	27.8b	(.f64 (exp.f64 (-.f64 (log.f64 (pow.f64 (neg.f64 x.re) y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
✓	19.7b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	47.2b	(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1)

Compiler

Compiled 604 to 390 computations (35.4% saved)

regimes606.0ms (2.6%)

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

359.0ms	y.im
81.0ms	x.re
68.0ms	x.im
66.0ms	y.re
9.0ms	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Results

Error	Segments	Branch
6.5b	2	`x.re`
8.0b	3	`x.im`
4.6b	3	`y.re`
11.7b	11	`y.im`
12.2b	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 1255 to 389 computations (69% saved)

bsearch329.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
102.0ms	0.0017737667950892036	9295291302.747858
227.0ms	-1.4884259151947354e-14	-1.5495179523112918e-16

Results

303.0ms	260×	body	256	valid
7.0ms	35×	body	256	infinite
5.0ms	12×	body	512	infinite
3.0ms	5×	body	1024	valid
2.0ms	4×	body	1024	infinite
2.0ms	6×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 756 to 518 computations (31.5% saved)

regimes599.0ms (2.5%)

Counts

24 → 3

Calls

Call 1

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

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))) 1)

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

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

Calls

4 calls:

406.0ms	y.im
126.0ms	y.re
39.0ms	x.im
20.0ms	x.re

Results

Error	Segments	Branch
6.5b	2	`x.re`
8.0b	3	`x.im`
4.9b	3	`y.re`
11.7b	11	`y.im`

Compiler

Compiled 475 to 163 computations (65.7% saved)

bsearch323.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
291.0ms	0.0017737667950892036	9295291302.747858
32.0ms	-1.4884259151947354e-14	-1.5495179523112918e-16

Results

165.0ms	263×	body	256	valid
133.0ms	177×	body	256	infinite
9.0ms	14×	body	1024	infinite
6.0ms	14×	body	512	infinite
4.0ms	4×	body	1024	valid
2.0ms	4×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 728 to 518 computations (28.8% saved)

regimes45.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
7.0b	2	`x.re`
9.6b	2	`x.im`
15.5b	3	`y.re`
18.5b	3	`y.im`

Compiler

Compiled 94 to 57 computations (39.4% saved)

bsearch53.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	-3.672815045631103e-303	1.1846931598265943e-290

Results

36.0ms	176×	body	256	valid
11.0ms	18×	body	1024	infinite
2.0ms	3×	body	512	infinite
1.0ms	3×	body	256	infinite

Compiler

Compiled 455 to 322 computations (29.2% saved)

regimes46.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	y.re
11.0ms	y.im
11.0ms	x.im
9.0ms	x.re

Results

Error	Segments	Branch
11.3b	2	`x.re`
9.6b	2	`x.im`
15.5b	3	`y.re`
18.5b	3	`y.im`

Compiler

Compiled 80 to 50 computations (37.5% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
4.0ms	-1.988785494216653e-306	-1.8991123939049728e-306

Results

3.0ms	16×	body	256	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 85 to 52 computations (38.8% saved)

regimes39.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	x.re
12.0ms	y.re
9.0ms	x.im
4.0ms	y.im

Results

Error	Segments	Branch
11.3b	2	`x.re`
15.6b	2	`x.im`
15.5b	3	`y.re`
19.7b	1	`y.im`

Compiler

Compiled 66 to 43 computations (34.8% saved)

bsearch38.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	5.873812263355168e-238	1.798752665939899e-236

Results

28.0ms	112×	body	256	valid
6.0ms	10×	body	1024	infinite
1.0ms	4×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 272 to 193 computations (29% saved)

regimes32.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 (exp.f64 (*.f64 y.re (log.f64 x.im))) 1)

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

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

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

Calls

4 calls:

11.0ms	y.re
11.0ms	x.re
6.0ms	x.im
3.0ms	y.im

Results

Error	Segments	Branch
19.7b	1	`x.re`
15.6b	2	`x.im`
18.6b	2	`y.re`
19.7b	1	`y.im`

Compiler

Compiled 53 to 37 computations (30.2% saved)

bsearch6.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
6.0ms	5.9347548046101335e-226	6.234882548537038e-226

Results

3.0ms	15×	body	256	valid
1.0ms	2×	body	1024	infinite
1.0ms	2×	body	512	infinite
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 80 to 49 computations (38.8% saved)

regimes15.0ms (0.1%)

Accuracy

Total -31.8b remaining (-161.9%)

Threshold costs -31.8b (-161.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y.re
3.0ms	x.re
3.0ms	y.im
3.0ms	x.im

Results

Error	Segments	Branch
19.7b	1	`x.re`
19.7b	1	`x.im`
19.7b	1	`y.re`
19.7b	1	`y.im`

Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	736

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -1148808356456833/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1170935903116329/4503599627370496) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7288990951312319/633825300114114700748351602688) (.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))) 1) (if (<=.f64 y.re 270000) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.re -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im -375551055941299/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 8248004328520789/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 8268337896771019/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1)

Outputs
(if (<=.f64 y.re -1148808356456833/79228162514264337593543950336) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re 1170935903116329/4503599627370496) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -7288990951312319/633825300114114700748351602688) (.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))) 1) (if (<=.f64 y.re 270000) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re (log.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) 2) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.re -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im -375551055941299/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 8248004328520789/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.im 8268337896771019/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))
(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1)

Compiler

Compiled 284 to 173 computations (39.1% saved)

soundness278.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

774×	`rational_best.json-simplify-80`
744×	`rational_best.json-simplify-47`
706×	`rational_best.json-simplify-24`
704×	`rational_best.json-simplify-78`
698×	`rational_best.json-simplify-33`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	7395
1	414	7187
2	635	7091
3	1073	7091
4	3284	7091
5	6058	7091

Stop Event

1×	node limit

Compiler

Compiled 53 to 34 computations (35.8% saved)

end179.0ms (0.8%)

Compiler: Compiled 256 to 108 computations (57.8% saved)