Details

analyze439.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

sample10.9s (31.2%)

Results

5.2s	7901×	body	256	valid
3.9s	2495×	body	1024	infinite
1.1s	990×	body	512	infinite
226.0ms	1051×	body	256	infinite
191.0ms	196×	body	1024	valid
98.0ms	145×	body	512	valid
32.0ms	36×	body	2048	infinite
13.0ms	14×	body	2048	valid

Bogosity

preprocess1.4s (3.9%)

Algorithm

2×	egg-herbie

Rules

1760×	`rational.json-simplify-51`
1314×	`rational.json-simplify-46`
1244×	`rational.json-simplify-49`
848×	`rational.json-simplify-19`
834×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	805
1	157	805
2	215	805
3	355	805
4	1135	805
5	5000	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)

simplify119.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational.json-simplify-2`
930×	`rational.json-simplify-44`
830×	`rational.json-simplify-39`
822×	`rational.json-simplify-47`
728×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	33	115
2	49	115
3	97	115
4	428	115
5	4079	115
6	6420	115
7	7562	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

35.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (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

▶

35.5b

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	29.2b	(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)))
✓	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 180 to 19 computations (89.4% saved)

series75.0ms (0.2%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
54.0ms	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)))
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)))

rewrite352.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`bool.json-1`
1362×	`bool.json-2`
1342×	`rational.json-1`
1342×	`rational.json-2`
1342×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	176	104
2	439	104
3	1032	104
4	3498	104

Stop Event

1×	node limit

Counts

4 → 40

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 1 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (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 or (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 (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 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(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 2 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.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) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.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 /.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 (.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 /.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))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (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 and (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 or (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 y.im (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y.im (atan2.f64 x.im x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y.im (atan2.f64 x.im x.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.im (atan2.f64 x.im x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.im (.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y.im (atan2.f64 x.im x.re)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 y.im (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.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 or (.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) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 x.im x.re) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 x.im x.re) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 x.im x.re) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.re) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (atan2.f64 x.im x.re) y.re) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (atan2.f64 x.im x.re) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.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 or (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.re))))))

simplify969.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-35`
1188×	`rational.json-simplify-51`
1126×	`rational.json-simplify-2`
902×	`rational.json-simplify-54`
892×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	392	10548
1	997	10344
2	2079	10298
3	4309	9926
4	6279	9926

Stop Event

1×	node limit

Counts

160 → 232

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

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

eval381.0ms (1.1%)

Compiler: Compiled 20108 to 8221 computations (59.1% saved)

prune317.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	289	4	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	290	4	294

Error

22.0b

Counts

294 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.4b	(.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.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	40.9b	(.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 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	42.1b	(.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))))
▶	22.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Compiler

Compiled 132 to 78 computations (40.9% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.5b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	31.5b	(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.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)))
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)))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`bool.json-1`
1422×	`bool.json-2`
1374×	`rational.json-1`
1374×	`rational.json-2`
1374×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	89	30
2	248	30
3	538	30
4	1179	30
5	2772	30
6	5636	30

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (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 or (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 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 -1 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (-.f64 -1 (.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1/2) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1/2))))) (#(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 (neg.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) 1) 1)))) (#(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 (neg.f64 (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y.re (.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 (.f64 y.re (atan2.f64 x.im x.re)) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.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 or (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (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 or (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 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 -1 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (-.f64 -1 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/2) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1/2))))) (#(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 (neg.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 1) 1)))) (#(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 (neg.f64 (atan2.f64 x.im x.re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y.re (atan2.f64 x.im x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.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 or (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))))

simplify244.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2292×	`rational.json-simplify-2`
1824×	`rational.json-simplify-35`
1322×	`rational.json-simplify-1`
834×	`rational.json-simplify-44`
786×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	859
1	263	859
2	673	859
3	1780	859
4	3982	859
5	5823	859
6	6633	859
7	6777	859
8	6828	859
9	6852	859
10	7562	859

Stop Event

1×	node limit

Counts

47 → 58

Calls

Call 1

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

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

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	15.5b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series62.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
13.0ms	x.re	@	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)))
1.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`bool.json-1`
1586×	`bool.json-2`
1548×	`rational.json-1`
1548×	`rational.json-2`
1548×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	127	33
2	326	33
3	686	33
4	1467	33
5	3312	33
6	6233	33

Stop Event

1×	node limit

Counts

1 → 20

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 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(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 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (*.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 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (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 and (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 or (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))))))))

simplify338.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2114×	`rational.json-simplify-35`
1654×	`rational.json-simplify-2`
1058×	`rational.json-simplify-26`
900×	`rational.json-simplify-1`
790×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	110	2844
1	240	2816
2	537	2816
3	978	2794
4	1958	2774
5	3373	2774
6	3977	2774
7	4518	2774
8	5715	2774
9	6412	2774
10	6855	2774
11	7626	2774

Stop Event

1×	node limit

Counts

68 → 71

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 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(-.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)

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 -1 (*.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 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 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 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 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 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 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 (+.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)))))))
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(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 4 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(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))) 4) 1/4)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 1/2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(.f64 1/4 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(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))) 4) 4)
(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 (.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 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)
(cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)
(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
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	17.1b	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 154 to 20 computations (87% saved)

series456.0ms (1.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
388.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
51.0ms	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)))
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)))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`bool.json-1`
1586×	`bool.json-2`
1548×	`rational.json-1`
1548×	`rational.json-2`
1548×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	127	33
2	326	33
3	686	33
4	1467	33
5	3312	33
6	6233	33

Stop Event

1×	node limit

Counts

1 → 20

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 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(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))) 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))) 1)))) (#(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 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(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))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(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))) 4) 4)))) (#(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 (*.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 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (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 and (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 or (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))))))))

simplify237.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2118×	`rational.json-simplify-35`
1648×	`rational.json-simplify-2`
1058×	`rational.json-simplify-26`
888×	`rational.json-simplify-1`
792×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	2844
1	242	2816
2	545	2794
3	996	2774
4	1986	2774
5	3405	2774
6	4011	2774
7	4564	2774
8	5789	2774
9	6462	2774
10	6885	2774
11	7631	2774

Stop Event

1×	node limit

Counts

68 → 71

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 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(-.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 0)
(.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 2))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))
(.f64 (/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 1)
(/.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 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)

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

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	12.2b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 161 to 21 computations (87% saved)

series42.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x.im	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
9.0ms	x.re	@	0	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
8.0ms	x.re	@	inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
1.0ms	x.im	@	-inf	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) 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.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

rewrite101.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`bool.json-1`
1802×	`bool.json-2`
1094×	`rational.json-simplify-35`
1076×	`bool.json-3`
1058×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	140	37
2	365	37
3	764	37
4	1652	37
5	3762	37
6	7088	37

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 (log.f64 (neg.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 (neg.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 (neg.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 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))))

simplify438.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1686×	`rational.json-simplify-35`
1680×	`rational.json-simplify-2`
1086×	`rational.json-simplify-26`
916×	`rational.json-simplify-1`
824×	`rational.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	3140
1	251	3112
2	561	3066
3	1013	3066
4	2005	3066
5	3474	3066
6	4124	3066
7	4715	3066
8	5982	3066
9	6691	3066
10	7138	3066
11	7636	3066

Stop Event

1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

eval1.7s (4.7%)

Compiler: Compiled 22734 to 6721 computations (70.4% saved)

prune899.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	561	9	570
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	565	9	574

Error

3.5b

Counts

574 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	45.4b	(.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 y.im (log.f64 (neg.f64 x.re)))))
▶	22.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	40.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	39.1b	(.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))))
	33.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	33.5b	(.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))))
▶	51.4b	(.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 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	35.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	35.3b	(.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 450 to 272 computations (39.6% 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))
✓	0.3b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	31.5b	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Compiler

Compiled 113 to 17 computations (85% saved)

series34.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
21.0ms	y.re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
5.0ms	y.im	@	inf	(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	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.im	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational.json-simplify-35`
1274×	`bool.json-1`
1274×	`bool.json-2`
1260×	`rational.json-1`
1260×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	154	84
2	385	84
3	910	84
4	3192	84

Stop Event

1×	node limit

Counts

2 → 30

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)))) (+.f64 y.re y.re)) 2)))) (#(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) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 4)) (*.f64 2 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.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 and (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.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 or (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.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) (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 -1 (-.f64 1 (-.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 1 (-.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)))) (#(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 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 2 (/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.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 1/2 (*.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 2)))) (#(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 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))) 16)))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 (log.f64 (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 and (-.f64 (*.f64 (log.f64 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (log.f64 (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)))))))

simplify134.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-35`
890×	`rational.json-simplify-1`
882×	`rational.json-simplify-61`
854×	`rational.json-simplify-41`
762×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	7138
1	490	6842
2	927	6746
3	1918	6518
4	4830	6518

Stop Event

1×	node limit

Counts

114 → 261

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.5b	(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
9.0ms	y.re	@	0	(*.f64 (log.f64 x.im) y.re)
2.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.re)
0.0ms	y.re	@	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)

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`bool.json-1`
1622×	`bool.json-2`
1588×	`rational.json-1`
1588×	`rational.json-2`
1140×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	69	11
2	194	11
3	403	11
4	809	11
5	1739	11
6	3713	11
7	6672	11

Stop Event

1×	node limit

Counts

1 → 11

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) (*.f64 y.re 1/2)) (*.f64 (log.f64 x.im) (*.f64 y.re 1/2)))))) (#(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) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.re 8) (log.f64 x.im)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.im))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.im)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.im)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.re 8) (log.f64 x.im))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 x.im) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 x.im) y.re) (*.f64 (log.f64 x.im) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.im) y.re) (*.f64 (log.f64 x.im) y.re))))))

simplify1.0s (2.9%)

Algorithm

1×	egg-herbie

Rules

8286×	`rational.json-simplify-41`
4050×	`rational.json-simplify-35`
2880×	`rational.json-simplify-2`
1810×	`rational.json-simplify-53`
760×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	521
1	111	505
2	215	505
3	452	505
4	1365	505
5	2662	505
6	3653	505
7	3832	505
8	3963	505
9	4091	505
10	4216	505
11	4341	505
12	4896	505
13	5039	505
14	5097	505
15	5097	505
16	5222	505
17	5347	505
18	5472	505
19	5597	505
20	5722	505
21	5990	505
22	6316	505
23	6494	505
24	6644	505
25	6773	505
26	6898	505
27	6898	505
28	7194	505
29	7194	505

Stop Event

1×	node limit

Counts

35 → 18

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.5b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series70.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
9.0ms	x.im	@	0	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
7.0ms	x.im	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
0.0ms	y.re	@	inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
0.0ms	y.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.im)) y.re)

rewrite108.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`bool.json-1`
1798×	`bool.json-2`
1334×	`rational.json-simplify-35`
1126×	`bool.json-3`
1096×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	82	15
2	234	15
3	496	15
4	1032	15
5	2272	15
6	4565	15
7	7273	15

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (neg.f64 x.im)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (neg.f64 x.im)) (*.f64 y.re 1/2)) (*.f64 (log.f64 (neg.f64 x.im)) (*.f64 y.re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.im)) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.im)) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 (neg.f64 x.im)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (log.f64 (neg.f64 x.im)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (log.f64 (neg.f64 x.im)) y.re))))))

simplify1.1s (3.2%)

Algorithm

1×	egg-herbie

Rules

5332×	`rational.json-simplify-35`
2518×	`rational.json-simplify-2`
1118×	`rational.json-simplify-53`
802×	`rational.json-simplify-43`
746×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	653
1	118	637
2	225	637
3	490	637
4	1953	637
5	3605	637
6	4430	637
7	4800	637
8	4980	637
9	5156	637
10	5157	637
11	5494	637
12	5495	637
13	5570	637
14	5712	637
15	5912	637
16	6128	637
17	6313	637
18	6485	637
19	6657	637
20	6829	637
21	7001	637
22	7173	637
23	7173	637
24	7274	637
25	7274	637
26	7446	637
27	7618	637
28	7790	637
29	7962	637

Stop Event

1×	node limit

Counts

35 → 20

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x.im) y.im)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.5b	(cos.f64 (+.f64 (.f64 (log.f64 x.im) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 96 to 15 computations (84.4% saved)

series8.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y.im	@	0	(*.f64 (log.f64 x.im) y.im)
0.0ms	y.im	@	inf	(*.f64 (log.f64 x.im) y.im)
0.0ms	y.im	@	-inf	(*.f64 (log.f64 x.im) y.im)
0.0ms	x.im	@	0	(*.f64 (log.f64 x.im) y.im)
0.0ms	x.im	@	-inf	(*.f64 (log.f64 x.im) y.im)

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`bool.json-1`
1622×	`bool.json-2`
1588×	`rational.json-1`
1588×	`rational.json-2`
1140×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	69	11
2	194	11
3	403	11
4	809	11
5	1739	11
6	3713	11
7	6672	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 x.im) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x.im) (*.f64 y.im 1/2)) (*.f64 (log.f64 x.im) (*.f64 y.im 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x.im) y.im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) y.im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (+.f64 y.im y.im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x.im) (*.f64 y.im 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.im 8) (log.f64 x.im)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 y.im 8) (log.f64 x.im))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 x.im) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 x.im) y.im) (*.f64 (log.f64 x.im) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 x.im) y.im) (*.f64 (log.f64 x.im) y.im))))))

simplify1.0s (2.9%)

Algorithm

1×	egg-herbie

Rules

8546×	`rational.json-simplify-41`
4032×	`rational.json-simplify-35`
2884×	`rational.json-simplify-2`
1812×	`rational.json-simplify-53`
762×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	345
1	111	329
2	216	329
3	452	329
4	1365	329
5	2657	329
6	3621	329
7	3800	329
8	3931	329
9	4059	329
10	4184	329
11	4309	329
12	4865	329
13	5008	329
14	5066	329
15	5066	329
16	5191	329
17	5316	329
18	5441	329
19	5566	329
20	5691	329
21	5959	329
22	6285	329
23	6463	329
24	6613	329
25	6742	329
26	6867	329
27	6867	329
28	7173	329
29	7173	329

Stop Event

1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (log.f64 x.im) y.re)
	1.0b	(*.f64 (atan2.f64 x.im x.re) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	12.2b	(cos.f64 (+.f64 (.f64 (log.f64 (neg.f64 x.re)) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 105 to 17 computations (83.8% saved)

eval533.0ms (1.5%)

Compiler: Compiled 22523 to 9834 computations (56.3% saved)

prune183.0ms (0.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	701	8	709
Fresh	1	3	4
Picked	1	0	1
Done	2	2	4
Total	705	13	718

Error

3.5b

Counts

718 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	45.4b	(.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 y.im (log.f64 (neg.f64 x.re)))))
✓	22.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	40.7b	(.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))))
	40.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	39.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	33.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	33.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	35.3b	(.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))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
▶	35.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
▶	35.3b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	45.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
▶	19.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)

Compiler

Compiled 516 to 347 computations (32.8% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(*.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.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))

rewrite85.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`rational.json-simplify-35`
1382×	`bool.json-1`
1382×	`bool.json-2`
1328×	`rational.json-1`
1328×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	91	17
2	255	17
3	550	17
4	1172	17
5	2656	17
6	5433	17

Stop Event

1×	node limit

Counts

1 → 17

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 -1 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (atan2.f64 x.im x.re) y.im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (atan2.f64 x.im x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) y.im) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.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 or (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))))))

simplify522.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3888×	`rational.json-simplify-35`
1674×	`rational.json-simplify-48`
1490×	`rational.json-simplify-1`
1192×	`rational.json-simplify-53`
912×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	901
1	125	901
2	243	901
3	646	901
4	2735	901
5	3895	901
6	4899	901
7	5403	901
8	5808	901
9	6041	901
10	6236	901
11	6314	901
12	6514	901
13	6615	901
14	6912	901
15	7119	901
16	7326	901
17	7533	901
18	7740	901

Stop Event

1×	node limit

Counts

53 → 21

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

localize50.0ms (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)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 57 to 13 computations (77.2% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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	y.im	@	0	(-.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))

rewrite85.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`bool.json-1`
1512×	`bool.json-2`
1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	115	29
2	292	29
3	603	29
4	1246	29
5	2783	29
6	5820	29

Stop Event

1×	node limit

Counts

1 → 34

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 (*.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 -1 (+.f64 (*.f64 (log.f64 x.im) y.re) (-.f64 1 (*.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 1 (*.f64 (atan2.f64 x.im x.re) y.im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2) (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2))))) (#(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 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 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 x.im) (*.f64 y.re 1/2)) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.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 1/2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (log.f64 x.im) (+.f64 y.re y.re)) (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)))) (#(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 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8)) (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)))) (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 x.im) y.re)) 4) -1) 4)))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.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 or (-.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)))))))

simplify521.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2318×	`rational.json-simplify-49`
1920×	`rational.json-simplify-35`
1468×	`rational.json-simplify-1`
1428×	`rational.json-simplify-42`
998×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	2530
1	202	2514
2	443	2514
3	951	2514
4	1760	2514
5	2707	2514
6	3261	2514
7	3432	2514
8	3585	2514
9	3859	2514
10	4417	2514
11	4702	2514
12	5049	2514
13	5272	2514
14	5438	2514
15	5595	2514
16	6448	2514
17	6753	2514
18	7016	2514

Stop Event

1×	node limit

Counts

82 → 49

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

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
	0.1b	(*.f64 (log.f64 (neg.f64 x.im)) y.re)
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)

Compiler

Compiled 64 to 14 computations (78.1% saved)

series9.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x.re	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
1.0ms	y.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	0	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.im	@	inf	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
0.0ms	x.re	@	inf	(-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))

rewrite91.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`bool.json-1`
1728×	`bool.json-2`
1678×	`rational.json-1`
1070×	`bool.json-3`
986×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	128	33
2	332	33
3	696	33
4	1467	33
5	3298	33
6	6682	33

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 (neg.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 (neg.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 (*.f64 (log.f64 (neg.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 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.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) y.im)) (*.f64 (log.f64 (neg.f64 x.im)) y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2) (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) (*.f64 y.re 1/2)) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.im 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) (+.f64 y.re y.re)) (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (neg.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 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8)) (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)))) (neg.f64 (*.f64 2 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))))))

simplify1.2s (3.4%)

Algorithm

1×	egg-herbie

Rules

2004×	`rational.json-simplify-42`
1740×	`rational.json-simplify-35`
1574×	`rational.json-simplify-45`
1254×	`rational.json-simplify-1`
878×	`rational.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	2797
1	199	2781
2	426	2781
3	937	2781
4	1879	2781
5	2594	2781
6	3632	2781
7	4109	2781
8	4323	2781
9	4513	2781
10	4673	2781
11	4824	2781
12	7063	2781

Stop Event

1×	node limit

Counts

81 → 52

Calls

Call 1

Inputs
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 -1 (.f64 y.re (log.f64 (/.f64 -1 x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))
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(-.f64 (.f64 -1 (.f64 y.re (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)))
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(*.f64 y.re (log.f64 (neg.f64 x.im)))
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(*.f64 y.re (log.f64 (neg.f64 x.im)))
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(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
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(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 (atan2.f64 x.im x.re) y.im))
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(*.f64 y.re (log.f64 (neg.f64 x.im)))
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(+.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1/2) (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1/2))
(.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 1)
(.f64 1 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
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(.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 2) 1/2)
(.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)) -1)
(.f64 4 (/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))
(.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 2))
(.f64 1/2 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) (+.f64 y.re y.re)) (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im))))
(.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 4))
(.f64 (/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 2)
(/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (neg.f64 x.im)) y.re)) -1)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re))) -2)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8) 8)
(/.f64 (.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 8)) 16)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 8)) (.f64 2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (neg.f64 x.im)) y.re)))) (neg.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (neg.f64 x.im)) y.re))))) 4)
(neg.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (neg.f64 x.im)) y.re)))

Outputs
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(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
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(-.f64 (.f64 y.re (+.f64 (log.f64 -1) (log.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
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(-.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)))
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(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
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(.f64 1 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
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(.f64 2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1/2))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 2 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) (.f64 y.re 1/2)) (.f64 (atan2.f64 x.im x.re) (*.f64 y.im 1/2))))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 2) 1/2)
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(.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)) -1)
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(.f64 4 (/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 4) 1/4)
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 1/2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 2))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 1/2 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) (+.f64 y.re y.re)) (*.f64 (atan2.f64 x.im x.re) (+.f64 y.im y.im))))
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(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(.f64 1/4 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 4))
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(.f64 (/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 1)
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(/.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 2) 2)
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(/.f64 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (neg.f64 x.im)) y.re)) -1)
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(/.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 4) 4)
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(/.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re))) -2)
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(/.f64 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)) 8) 8)
(-.f64 (.f64 y.re (log.f64 (neg.f64 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 (neg.f64 x.im)) y.re)) 4) -4)
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 8)) 16)
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (*.f64 (log.f64 (neg.f64 x.im)) y.re)))) 2)
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 8)) (.f64 2 (.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im)) 8))) 32)
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (neg.f64 x.im)) y.re)))) (neg.f64 (.f64 2 (-.f64 (.f64 (atan2.f64 x.im x.re) y.im) (.f64 (log.f64 (neg.f64 x.im)) y.re))))) 4)
(-.f64 (.f64 y.re (log.f64 (neg.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 (neg.f64 x.im)) y.re)))
(-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (log.f64 x.im) y.re)
✓	0.1b	(*.f64 y.im (log.f64 x.im))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	12.3b	(cos.f64 (*.f64 y.im (log.f64 x.im)))

Compiler

Compiled 69 to 13 computations (81.2% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`bool.json-1`
1538×	`bool.json-2`
1490×	`rational.json-1`
1490×	`rational.json-2`
1490×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	80	26
2	229	26
3	502	26
4	1104	26
5	2603	26
6	5616	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 8)) (*.f64 2 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 y.im (log.f64 x.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.im (log.f64 x.im))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.im (log.f64 x.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y.im (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 y.im (log.f64 x.im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y.im (*.f64 (log.f64 x.im) 1/2)) (*.f64 y.im (*.f64 (log.f64 x.im) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y.im (log.f64 x.im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y.im (neg.f64 (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (log.f64 x.im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (*.f64 (log.f64 x.im) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (*.f64 (log.f64 x.im) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y.im (*.f64 (log.f64 x.im) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y.im (log.f64 x.im)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y.im (log.f64 x.im)) 8)) (*.f64 2 (*.f64 (*.f64 y.im (log.f64 x.im)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) -4)) (neg.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y.im (log.f64 x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im)))))))

simplify994.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1908×	`rational.json-simplify-35`
856×	`rational.json-simplify-2`
840×	`rational.json-simplify-26`
826×	`rational.json-simplify-1`
794×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1422
1	278	1390
2	679	1374
3	1709	1374
4	3886	1374
5	5241	1374
6	7240	1374
7	7859	1374

Stop Event

1×	node limit

Counts

78 → 69

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))) (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 x.im) 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 x.im) 6))) (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 x.im) 4))))))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(*.f64 (log.f64 x.im) y.im)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)
(+.f64 0 (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1/2) (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1/2))
(-.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)
(.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1)
(.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im))))
(.f64 2 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2))
(.f64 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 4))
(.f64 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2))
(.f64 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2) 2)
(.f64 1/4 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4))
(.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 4) 4)
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 8)) (.f64 2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 8))) 32)
(+.f64 (*.f64 y.im (log.f64 x.im)) 0)
(+.f64 0 (*.f64 y.im (log.f64 x.im)))
(+.f64 -1 (+.f64 (*.f64 y.im (log.f64 x.im)) 1))
(+.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) 1) -1)
(+.f64 (.f64 y.im (.f64 (log.f64 x.im) 1/2)) (.f64 y.im (.f64 (log.f64 x.im) 1/2)))
(-.f64 (*.f64 y.im (log.f64 x.im)) 0)
(-.f64 0 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(-.f64 1 (-.f64 1 (*.f64 y.im (log.f64 x.im))))
(-.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) 1) 1)
(/.f64 (*.f64 y.im (log.f64 x.im)) 1)
(/.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))) -1)
(/.f64 (.f64 y.im (.f64 (log.f64 x.im) 2)) 2)
(/.f64 (.f64 y.im (.f64 (log.f64 x.im) 4)) 4)
(/.f64 (.f64 y.im (.f64 (log.f64 x.im) -2)) -2)
(/.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4) -4)
(/.f64 (.f64 (.f64 y.im (log.f64 x.im)) 8) 8)
(/.f64 (.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) 8) -8)
(/.f64 (.f64 2 (.f64 (*.f64 y.im (log.f64 x.im)) 8)) 16)
(/.f64 (neg.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 y.im (log.f64 x.im)) 8)) (.f64 2 (.f64 (.f64 y.im (log.f64 x.im)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4)) (neg.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4))) 8)
(neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))

Outputs
1
(+.f64 1 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))))
(+.f64 1 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 -1/2 (pow.f64 y.im 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))) (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 x.im) 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 -1/2 (pow.f64 y.im 2))) (.f64 (pow.f64 y.im 4) (.f64 1/24 (pow.f64 (log.f64 x.im) 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 x.im) 6))) (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 x.im) 4))))))
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 x.im) 4))) (.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 x.im) 6))))))
(+.f64 (.f64 (pow.f64 (log.f64 x.im) 2) (.f64 -1/2 (pow.f64 y.im 2))) (+.f64 (.f64 (pow.f64 y.im 4) (.f64 1/24 (pow.f64 (log.f64 x.im) 4))) (+.f64 1 (.f64 (pow.f64 (log.f64 x.im) 6) (.f64 -1/720 (pow.f64 y.im 6))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y.im 4) (pow.f64 (log.f64 x.im) 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y.im 2) (pow.f64 (log.f64 x.im) 2))) (+.f64 1 (.f64 -1/720 (.f64 (pow.f64 y.im 6) (pow.f64 (log.f64 x.im) 6))))))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(cos.f64 (*.f64 (log.f64 x.im) y.im))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1)))
(cos.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 1 x.im))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1)))
(cos.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 1 x.im))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1)))
(cos.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 1 x.im))))
(cos.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im)))
(cos.f64 (.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1)))
(cos.f64 (*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im)))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 1 x.im))))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(cos.f64 (.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(cos.f64 (.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(cos.f64 (.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(cos.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im))
(cos.f64 (.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im))))))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.im))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x.im)) y.im))
(.f64 (log.f64 (/.f64 1 x.im)) (.f64 y.im -1))
(*.f64 (log.f64 (/.f64 1 x.im)) (neg.f64 y.im))
(*.f64 y.im (neg.f64 (log.f64 (/.f64 1 x.im))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))) y.im)
(.f64 y.im (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x.im)))))
(*.f64 y.im (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x.im)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 0 (cos.f64 (*.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1/2) (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1/2))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(-.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 0)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 1)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 1 (cos.f64 (.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 2 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2) 1/2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 4 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 4))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4) 1/4)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 1/2 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 2))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1/2) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 1/4 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 4))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(.f64 (/.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 4) 4)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 1)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 2) 2)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 4) 4)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 8) 8)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) 8)) 16)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 8)) (.f64 2 (.f64 (cos.f64 (.f64 y.im (log.f64 x.im))) 8))) 32)
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (*.f64 y.im (log.f64 x.im)) 0)
(*.f64 y.im (log.f64 x.im))
(+.f64 0 (*.f64 y.im (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))
(+.f64 -1 (+.f64 (*.f64 y.im (log.f64 x.im)) 1))
(*.f64 y.im (log.f64 x.im))
(+.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) 1) -1)
(*.f64 y.im (log.f64 x.im))
(+.f64 (.f64 y.im (.f64 (log.f64 x.im) 1/2)) (.f64 y.im (.f64 (log.f64 x.im) 1/2)))
(*.f64 y.im (log.f64 x.im))
(-.f64 (*.f64 y.im (log.f64 x.im)) 0)
(*.f64 y.im (log.f64 x.im))
(-.f64 0 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(-.f64 1 (-.f64 1 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(-.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) 1) 1)
(*.f64 y.im (log.f64 x.im))
(/.f64 (*.f64 y.im (log.f64 x.im)) 1)
(*.f64 y.im (log.f64 x.im))
(/.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))) -1)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 y.im (.f64 (log.f64 x.im) 2)) 2)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 y.im (.f64 (log.f64 x.im) 4)) 4)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 y.im (.f64 (log.f64 x.im) -2)) -2)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4) -4)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 (.f64 y.im (log.f64 x.im)) 8) 8)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 (.f64 y.im (neg.f64 (log.f64 x.im))) 8) -8)
(*.f64 y.im (log.f64 x.im))
(/.f64 (.f64 2 (.f64 (*.f64 y.im (log.f64 x.im)) 8)) 16)
(*.f64 y.im (log.f64 x.im))
(/.f64 (neg.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4)) 4)
(*.f64 y.im (log.f64 x.im))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 y.im (log.f64 x.im)) 8)) (.f64 2 (.f64 (.f64 y.im (log.f64 x.im)) 8))) 32)
(*.f64 y.im (log.f64 x.im))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4)) (neg.f64 (.f64 (.f64 y.im (log.f64 x.im)) -4))) 8)
(*.f64 y.im (log.f64 x.im))
(neg.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))

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)
	1.0b	(*.f64 y.re (atan2.f64 x.im x.re))
	2.2b	(*.f64 (atan2.f64 x.im x.re) y.im)
	15.5b	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Compiler

Compiled 79 to 14 computations (82.3% saved)

series12.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
0.0ms	x.re	@	0	(*.f64 (log.f64 (neg.f64 x.re)) y.re)
0.0ms	y.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	x.re	@	-inf	(*.f64 (log.f64 (neg.f64 x.re)) y.re)

rewrite113.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`bool.json-1`
1798×	`bool.json-2`
1334×	`rational.json-simplify-35`
1126×	`bool.json-3`
1096×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	82	15
2	234	15
3	496	15
4	1032	15
5	2272	15
6	4565	15
7	7273	15

Stop Event

1×	node limit

Counts

1 → 11

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)) (*.f64 y.re 1/2)) (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 1/2)))))) (#(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)) (+.f64 y.re y.re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 x.re)) (*.f64 y.re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 (neg.f64 x.re)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.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 or (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (log.f64 (neg.f64 x.re)) y.re))))))

simplify1.3s (3.7%)

Algorithm

1×	egg-herbie

Rules

5242×	`rational.json-simplify-35`
2522×	`rational.json-simplify-2`
1118×	`rational.json-simplify-53`
802×	`rational.json-simplify-43`
742×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	653
1	118	637
2	225	637
3	490	637
4	1945	637
5	3595	637
6	4429	637
7	4800	637
8	4977	637
9	5150	637
10	5319	637
11	5654	637
12	5655	637
13	5730	637
14	5872	637
15	5900	637
16	6113	637
17	6295	637
18	6464	637
19	6633	637
20	6802	637
21	6971	637
22	7140	637
23	7140	637
24	7243	637
25	7243	637
26	7412	637
27	7581	637
28	7750	637
29	7919	637

Stop Event

1×	node limit

Counts

35 → 20

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

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

eval73.0ms (0.2%)

Compiler: Compiled 7332 to 2739 computations (62.6% saved)

prune76.0ms (0.2%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	359	2	361
Fresh	0	6	6
Picked	0	1	1
Done	1	5	6
Total	360	14	374

Error

3.5b

Counts

374 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	45.4b	(.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 y.im (log.f64 (neg.f64 x.re)))))
✓	22.9b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	40.7b	(.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))))
	40.7b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	39.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
	33.1b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	33.5b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	35.3b	(.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))))
	51.4b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.re)))))
✓	35.2b	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.im))))
	45.9b	(.f64 (exp.f64 (-.f64 (.f64 y.re (+.f64 (neg.f64 (log.f64 (/.f64 -1 x.im))) (.f64 1/2 (/.f64 (pow.f64 x.re 2) (pow.f64 x.im 2))))) (.f64 (atan2.f64 x.im x.re) y.im))) 1)
✓	19.9b	(.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1)
	43.9b	(.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1)
	42.7b	(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1)

Compiler

Compiled 287 to 195 computations (32.1% saved)

regimes352.0ms (1%)

Counts

24 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

185.0ms	y.im
55.0ms	(.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))))
45.0ms	x.re
36.0ms	y.re
25.0ms	x.im

Results

Error	Segments	Branch
8.3b	4	`x.re`
10.3b	2	`x.im`
6.5b	3	`y.re`
16.0b	5	`y.im`
12.3b	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 546 to 141 computations (74.2% saved)

bsearch196.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
165.0ms	5.041114308428834e+85	1.2756859049905643e+98
31.0ms	-3.1773950238415785e-7	-1.8796276856129073e-10

Results

96.0ms	234×	body	512	infinite
57.0ms	282×	body	256	valid
18.0ms	88×	body	256	infinite
17.0ms	25×	body	1024	infinite
2.0ms	4×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 790 to 537 computations (32% saved)

regimes137.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

53.0ms	y.im
35.0ms	x.re
26.0ms	y.re
18.0ms	x.im

Results

Error	Segments	Branch
8.3b	4	`x.re`
10.3b	2	`x.im`
6.6b	3	`y.re`
16.0b	5	`y.im`

Compiler

Compiled 352 to 114 computations (67.6% saved)

bsearch730.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
698.0ms	5.041114308428834e+85	1.2756859049905643e+98
31.0ms	-3.1773950238415785e-7	-1.8796276856129073e-10

Results

593.0ms	224×	body	512	infinite
100.0ms	281×	body	256	valid
14.0ms	75×	body	256	infinite
14.0ms	24×	body	1024	infinite
2.0ms	3×	body	1024	valid
2.0ms	4×	body	512	valid

Compiler

Compiled 750 to 529 computations (29.5% saved)

regimes105.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

78.0ms	y.re
10.0ms	x.re
9.0ms	x.im
5.0ms	y.im

Results

Error	Segments	Branch
10.2b	2	`x.re`
10.4b	2	`x.im`
14.5b	5	`y.re`
19.9b	1	`y.im`

Compiler

Compiled 102 to 61 computations (40.2% saved)

bsearch334.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
334.0ms	-1.549741813402299e-294	1.5186158711173176e-304

Results

325.0ms	160×	body	256	valid
5.0ms	9×	body	1024	infinite
1.0ms	3×	body	512	infinite
1.0ms	3×	body	256	infinite

Compiler

Compiled 418 to 295 computations (29.4% saved)

regimes194.0ms (0.6%)

Counts

6 → 2

Calls

Call 1

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

118.0ms	y.re
60.0ms	x.re
9.0ms	x.im
5.0ms	y.im

Results

Error	Segments	Branch
13.4b	2	`x.re`
10.4b	2	`x.im`
14.5b	5	`y.re`
19.9b	1	`y.im`

Compiler

Compiled 88 to 54 computations (38.6% saved)

bsearch121.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
121.0ms	-3.670526372885774e-306	1.1489026454203809e-306

Results

105.0ms	119×	body	256	valid
4.0ms	11×	body	512	infinite
4.0ms	7×	body	1024	valid
4.0ms	6×	body	1024	infinite
1.0ms	7×	body	256	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 344 to 241 computations (29.9% saved)

regimes229.0ms (0.7%)

Counts

5 → 2

Calls

Call 1

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

88.0ms	y.re
16.0ms	x.im
8.0ms	x.re
6.0ms	y.im

Results

Error	Segments	Branch
13.4b	2	`x.re`
13.6b	4	`x.im`
14.5b	5	`y.re`
19.9b	1	`y.im`

Compiler

Compiled 74 to 49 computations (33.8% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	3.583235751939691e-216	7.337683041425709e-216

Results

16.0ms	80×	body	256	valid
4.0ms	7×	body	1024	infinite
2.0ms	4×	body	512	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 208 to 145 computations (30.3% saved)

regimes94.0ms (0.3%)

Counts

4 → 4

Calls

Call 1

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

74.0ms	x.im
10.0ms	y.re
5.0ms	y.im
4.0ms	x.re

Results

Error	Segments	Branch
19.9b	1	`x.re`
13.9b	4	`x.im`
16.7b	3	`y.re`
19.9b	1	`y.im`

Compiler

Compiled 61 to 43 computations (29.5% saved)

bsearch1.4s (3.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
40.0ms	-3.670526372885774e-306	1.1489026454203809e-306
1.1s	-5.94287735664122e-186	-1.8278115531269765e-196
186.0ms	-1740801.3236997484	-3.012564435642252

Results

1.3s	413×	body	256	valid
38.0ms	64×	body	1024	infinite
14.0ms	35×	body	512	infinite
5.0ms	25×	body	256	infinite
5.0ms	8×	body	1024	valid
4.0ms	11×	body	512	valid

Compiler

Compiled 809 to 635 computations (21.5% saved)

regimes322.0ms (0.9%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

4 calls:

241.0ms	x.im
73.0ms	y.re
3.0ms	x.re
3.0ms	y.im

Results

Error	Segments	Branch
19.9b	1	`x.re`
18.2b	2	`x.im`
16.9b	4	`y.re`
19.9b	1	`y.im`

Compiler

Compiled 48 to 37 computations (22.9% saved)

bsearch300.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
132.0ms	-1.658523300094617e+43	-1.9232828184413757e+34
155.0ms	-6.719428690599988e+49	-5.306922005857075e+47
12.0ms	-5.8837706043814545e+118	-2.067417548306507e+113

Results

154.0ms	304×	body	256	valid
136.0ms	55×	body	256	infinite
5.0ms	12×	body	512	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 541 to 433 computations (20% saved)

regimes259.0ms (0.7%)

Accuracy

Total -41.5b remaining (-183.9%)

Threshold costs -41.5b (-183.9%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

143.0ms	y.re
88.0ms	y.im
21.0ms	x.re
6.0ms	x.im

Results

Error	Segments	Branch
36.4b	7	`x.re`
22.5b	2	`x.im`
34.4b	8	`y.re`
35.3b	8	`y.im`

Compiler

Compiled 39 to 31 computations (20.5% saved)

bsearch44.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-3.670526372885774e-306	1.1489026454203809e-306

Results

28.0ms	121×	body	256	valid
6.0ms	11×	body	1024	infinite
2.0ms	4×	body	1024	valid
2.0ms	6×	body	512	infinite
2.0ms	10×	body	256	infinite
1.0ms	3×	body	512	valid

Compiler

Compiled 248 to 193 computations (22.2% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	951

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re -5289050460814003/302231454903657293676544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 50999999999999997985466918048193009605569847470287227042765561277504992511798869491712) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -3264099712959499/604462909807314587353088) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 4400000000000000174803000563618461935224282943036889500043631018273288885305439730794496) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.re -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 2406403043066099/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (.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 -3433994715870003/1125899906842624) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (if (<=.f64 x.im -6902644157915651/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 y.re -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (if (<=.f64 y.re -4399999999999999868403155739908541577233789091840) (.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1) (if (<=.f64 y.re -2799999999999999939988989605805525764669440) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1)

Outputs
(if (<=.f64 y.re -5289050460814003/302231454903657293676544) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (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 50999999999999997985466918048193009605569847470287227042765561277504992511798869491712) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 y.re -3264099712959499/604462909807314587353088) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (if (<=.f64 y.re 4400000000000000174803000563618461935224282943036889500043631018273288885305439730794496) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1)))
(if (<=.f64 x.re -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) 1))
(if (<=.f64 x.re 2406403043066099/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (.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 -3433994715870003/1125899906842624) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (if (<=.f64 x.im -6902644157915651/80263304161809898486953580976564463280492245526476651908848280381297792881730359224146523075524726123458602430056430323990164676669064390001339947061948865508349970567755807467524166227482951618519489314816) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1) (if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) 1))))
(if (<=.f64 y.re -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (if (<=.f64 y.re -4399999999999999868403155739908541577233789091840) (.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1) (if (<=.f64 y.re -2799999999999999939988989605805525764669440) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (.f64 (exp.f64 (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) 1))))
(if (<=.f64 x.im -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (exp.f64 (.f64 y.re (log.f64 (neg.f64 x.im)))) 1) (.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1))
(.f64 (exp.f64 (.f64 y.re (log.f64 x.im))) 1)

Compiler

Compiled 363 to 216 computations (40.5% saved)

soundness125.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-35`
890×	`rational.json-simplify-1`
882×	`rational.json-simplify-61`
854×	`rational.json-simplify-41`
762×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	7138
1	490	6842
2	927	6746
3	1918	6518
4	4830	6518

Stop Event

1×	node limit

Compiler

Compiled 43 to 28 computations (34.9% saved)

end222.0ms (0.6%)

Compiler: Compiled 331 to 128 computations (61.3% saved)