Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
100%	99.9%	0%	0.1%	0%	0%	0%	3

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (15.4%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess384.0ms (4.5%)

Algorithm

2×	egg-herbie

Rules

6792×	`rational_best-simplify-108`
3670×	`rational_best-simplify-65`
1092×	`rational_best-simplify-107`
898×	`rational_best-simplify-3`
770×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	16	34
2	25	34
3	40	34
4	75	34
5	161	34
6	377	34
7	953	34
8	1590	34
9	1775	34
10	1960	34
11	2145	34
12	2330	34
13	2515	34
14	2802	34
15	2987	34
16	2987	34
17	3172	34
18	3357	34
19	5719	34
20	5719	34
21	5955	34
22	5955	34
23	6364	34
24	6773	34
25	7182	34
26	7591	34
27	8000	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify297.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

6964×	`rational_best-simplify-108`
4352×	`rational_best-simplify-65`
680×	`rational_best-simplify-3`
508×	`rational_best-simplify-47`
390×	`rational_best-simplify-107`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	12	17
2	17	17
3	26	17
4	47	17
5	98	17
6	227	17
7	586	17
8	935	17
9	1536	17
10	2094	17
11	2476	17
12	2858	17
13	2858	17
14	3933	17
15	3955	17
16	4368	17
17	4781	17
18	5194	17
19	5194	17
20	5194	17
21	6608	17
22	6608	17
23	7199	17
24	7758	17

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series38.0ms (0.4%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
14.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))
5.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational_best-simplify-55`
780×	`rational_best-simplify-64`
662×	`rational_best-4`
662×	`rational_best-2`
662×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	59	17
2	126	17
3	365	17
4	1621	17

Stop Event

1×	node limit

Counts

1 → 112

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
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Outputs

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simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational_best-simplify-1`
1050×	`rational_best-simplify-54`
950×	`rational_best-simplify-65`
912×	`rational_best-simplify-64`
722×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	3050
1	673	2940
2	2412	2752

Stop Event

1×	node limit

Counts

112 → 143

Calls

Call 1

Inputs
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(-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)) (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
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(-.f64 (*.f64 -2 (neg.f64 (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 10)))) (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))
(-.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)) 1) (-.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)) (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(-.f64 (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 10)) (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)) (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 10))))
(-.f64 (*.f64 -2 (neg.f64 (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 10)))) (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))
(-.f64 (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)) (+.f64 1 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)))) (-.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)) (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))))
(-.f64 (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 10)) (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)) (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 10))))
(-.f64 (*.f64 -2 (neg.f64 (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 10)))) (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))
(-.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))) (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4)) (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1/2 (/.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 10)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 2 (/.f64 1/2 (.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 10) (.f64 (log.f64 10) (.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (/.f64 1 (log.f64 10)) (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 -2 (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1/2 (*.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1/2 (log.f64 10)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 (log.f64 10) (.f64 (log.f64 10) (.f64 (log.f64 10) 4))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) 4) (-.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1/2 (*.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1/2 (-.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1 (log.f64 10)) (-.f64 (.f64 (atan2.f64 im re) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (log.f64 10)) (-.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (-.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (*.f64 (atan2.f64 im re) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) -2) (-.f64 0 (/.f64 1/2 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) -2) (neg.f64 (/.f64 1/2 (log.f64 10))))
(.f64 (atan2.f64 im re) (.f64 -2 (neg.f64 (/.f64 1/2 (log.f64 10)))))
(.f64 (atan2.f64 im re) (.f64 -2 (/.f64 -1/2 (log.f64 10))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) 1/4)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) (/.f64 (log.f64 10) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (/.f64 1/2 (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (.f64 (/.f64 1/2 (*.f64 (log.f64 10) 2)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (/.f64 (log.f64 10) (.f64 (log.f64 10) (*.f64 (log.f64 10) 8))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (*.f64 (atan2.f64 im re) 2) 4) (/.f64 (/.f64 1 (log.f64 10)) 8))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (*.f64 (atan2.f64 im re) 2) 4) (/.f64 (/.f64 1/2 (log.f64 10)) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (-.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (/.f64 1/2 (*.f64 (log.f64 10) 4))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 1 (/.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) 2)) (/.f64 1/2 (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 4 (.f64 (atan2.f64 im re) (/.f64 1/2 (*.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 -2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 1 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) 2)) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) 2)) (log.f64 10)) (/.f64 1 (/.f64 (/.f64 2 (log.f64 10)) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1/4 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) 4)) (.f64 (.f64 (atan2.f64 im re) 2) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (/.f64 2 (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 8) (/.f64 1 (.f64 (*.f64 (log.f64 10) 2) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 8) (/.f64 1/2 (.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 (log.f64 10) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 1 (/.f64 4 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 1/2 (/.f64 2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (log.f64 10) 2)) (*.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 1/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 4) 1/8)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 4) (/.f64 (log.f64 10) (.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 8) (/.f64 (log.f64 10) (.f64 (*.f64 (log.f64 10) 2) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)) (/.f64 1 (.f64 (log.f64 10) (*.f64 (log.f64 10) 2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (/.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (/.f64 1 (.f64 (log.f64 10) (*.f64 (log.f64 10) 4))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 10)) (.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10)) (.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) 4)) (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) -4) (-.f64 0 (/.f64 1/2 (*.f64 (log.f64 10) 2))))
(.f64 (.f64 (atan2.f64 im re) -4) (neg.f64 (/.f64 1/2 (*.f64 (log.f64 10) 2))))
(.f64 (.f64 (atan2.f64 im re) -4) (neg.f64 (/.f64 1/4 (log.f64 10))))
(.f64 (atan2.f64 im re) (.f64 -4 (neg.f64 (/.f64 1/4 (log.f64 10)))))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (*.f64 (log.f64 10) 2)) (/.f64 1 (/.f64 (/.f64 1/2 (log.f64 10)) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))

eval50.0ms (0.6%)

Compiler: Compiled 2514 to 1795 computations (28.6% saved)

prune29.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	136	7	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	8	144

Error

0.0b

Counts

144 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.9b	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
	0.9b	(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)))
	1.0b	(+.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4))) (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))))
▶	0.2b	(.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
▶	0.9b	(.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10)))
▶	1.0b	(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
▶	0.9b	(.f64 1/2 (-.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))

Compiler

Compiled 300 to 240 computations (20% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
✓	0.8b	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
✓	1.0b	(/.f64 1 (log.f64 10))
✓	1.0b	(*.f64 (log.f64 10) (log.f64 10))

Compiler

Compiled 68 to 55 computations (19.1% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
1.0ms	im	@	0	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
1.0ms	im	@	0	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
0.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
0.0ms	re	@	0	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))

rewrite197.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`rational_best-simplify-3`
718×	`rational_best-simplify-65`
670×	`rational_best-simplify-67`
646×	`rational_best-simplify-89`
644×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	90
1	94	90
2	237	90
3	926	90
4	6449	90

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

Inputs
(*.f64 (log.f64 10) (log.f64 10))
(/.f64 1 (log.f64 10))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))

Outputs
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simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1476×	`rational_best-simplify-55`
1266×	`rational_best-simplify-108`
1152×	`rational_best-simplify-49`
1080×	`rational_best-simplify-53`
904×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	11610
1	1690	11090

Stop Event

1×	node limit

Counts

314 → 339

Calls

Call 1

Inputs
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Outputs
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
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(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))
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(.f64 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 10) (log.f64 10))) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10)))) (/.f64 1 (/.f64 4 (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (/.f64 1 (log.f64 10)) (*.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 (/.f64 1 (log.f64 10)) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10)))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 2)) (/.f64 (/.f64 (/.f64 1/2 (log.f64 10)) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (atan2.f64 im re)) (/.f64 (/.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) (log.f64 10))) (.f64 (log.f64 10) (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2))) (/.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) (/.f64 2 (.f64 (log.f64 10) (log.f64 10))))) (/.f64 1/2 (*.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (.f64 (atan2.f64 im re) 2)) (/.f64 (/.f64 (/.f64 1/2 (log.f64 10)) (.f64 (log.f64 10) (log.f64 10))) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (*.f64 (log.f64 10) (log.f64 10)) 2))) (/.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 10) (log.f64 10)))) (/.f64 (/.f64 1 (*.f64 (log.f64 10) 4)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))) (/.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (log.f64 10) (log.f64 10)))) (/.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 10))) (.f64 (log.f64 10) (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 2 (.f64 (log.f64 10) (log.f64 10))))) (/.f64 (/.f64 1/2 (log.f64 10)) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2))) (/.f64 (/.f64 1/2 (.f64 (log.f64 10) (log.f64 10))) (.f64 (log.f64 10) (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (.f64 (log.f64 10) (log.f64 10)) 2))) (/.f64 (/.f64 1/2 (log.f64 10)) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 10) (log.f64 10)))) (/.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (.f64 (log.f64 10) (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (log.f64 10)))) (/.f64 (/.f64 1 (neg.f64 (log.f64 10))) (log.f64 10)))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (log.f64 10) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (fabs.f64 (log.f64 10)))) (/.f64 (/.f64 1 (fabs.f64 (log.f64 10))) (log.f64 10)))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (neg.f64 (log.f64 10)))) (/.f64 (/.f64 1 (neg.f64 (log.f64 10))) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (fabs.f64 (log.f64 10)))) (/.f64 (/.f64 1 (fabs.f64 (log.f64 10))) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (log.f64 10))) 1)
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(neg.f64 (neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (neg.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
✓	0.8b	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
✓	1.0b	(/.f64 2 (log.f64 10))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
0.0ms	im	@	inf	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
0.0ms	re	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
0.0ms	im	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
0.0ms	re	@	inf	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))

rewrite118.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`rational_best-simplify-82`
914×	`rational_best-simplify-54`
760×	`rational_best-simplify-63`
678×	`rational_best-4`
678×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	88	51
2	175	51
3	458	51
4	1832	51

Stop Event

1×	node limit

Counts

3 → 399

Calls

Call 1

Inputs
(/.f64 2 (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (log.f64 10)) (+.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 10)) (/.f64 (neg.f64 (/.f64 2 (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (+.f64 (/.f64 1/4 (log.f64 10)) (/.f64 1/4 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (log.f64 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1/4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 8 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (log.f64 10)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (log.f64 10)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 (/.f64 1/2 (log.f64 10)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 16 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (log.f64 10)) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 (log.f64 10) 4)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (log.f64 10)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)) (/.f64 0 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)) (neg.f64 (/.f64 0 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)) (neg.f64 (neg.f64 (/.f64 0 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (-.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (log.f64 10)) (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 0 (log.f64 10))) (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) 3) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (+.f64 2 (/.f64 0 (log.f64 10)))) (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 (log.f64 10) (log.f64 10))) (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 10) 0) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) 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(/.f64 (*.f64 2 (atan2.f64 im re)) (+.f64 2 (/.f64 0 (log.f64 10))))) (/.f64 (log.f64 10) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))))))

simplify132.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational_best-simplify-55`
1024×	`rational_best-simplify-54`
920×	`rational_best-simplify-64`
674×	`rational_best-simplify-65`
658×	`rational_best-simplify-108`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	718	9333
1	2577	8919

Stop Event

1×	node limit

Counts

447 → 424

Calls

Call 1

Inputs
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
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Outputs
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 10)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 10)))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10)) (/.f64 (.f64 2 (atan2.f64 im re)) (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10)) (/.f64 (.f64 2 (atan2.f64 im re)) (log.f64 10))) (+.f64 2 (/.f64 0 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (*.f64 2 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 4) (.f64 2 (atan2.f64 im re))) (*.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10))) 4)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (+.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (+.f64 2 (/.f64 0 (log.f64 10)))) 0) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (+.f64 2 (/.f64 0 (log.f64 10)))) 0) (.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (+.f64 (.f64 (log.f64 10) (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10))) 0) (*.f64 (log.f64 10) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (+.f64 (*.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (log.f64 10))) 0) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (+.f64 (.f64 (atan2.f64 im re) (+.f64 2 (/.f64 0 (log.f64 10)))) 0) (.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (+.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (log.f64 10) 4)) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (log.f64 10) 4))) (/.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 0 (.f64 (atan2.f64 im re) 4)) (.f64 (log.f64 10) -4))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 4)) (.f64 (log.f64 10) -4))
(/.f64 (/.f64 (atan2.f64 im re) -1/4) (*.f64 (log.f64 10) -4))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 2 (atan2.f64 im re)) (log.f64 10)) (log.f64 10)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10)) (log.f64 10)) (/.f64 (/.f64 (.f64 2 (atan2.f64 im re)) (log.f64 10)) (log.f64 10))) (/.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (.f64 (atan2.f64 im re) 4)) (.f64 (log.f64 10) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 2 (atan2.f64 im re)) (/.f64 (.f64 2 (atan2.f64 im re)) (+.f64 2 (/.f64 0 (log.f64 10))))) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 2 (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (log.f64 10)))) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 4) (/.f64 (.f64 (atan2.f64 im re) 4) (+.f64 2 (/.f64 0 (log.f64 10))))) (*.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) (+.f64 2 (/.f64 0 (log.f64 10))))) (*.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (.f64 (log.f64 10) (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10)))) (*.f64 (log.f64 10) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 16 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10)))) 8)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 4 (.f64 2 (.f64 (atan2.f64 im re) 4))) (.f64 (.f64 2 (.f64 (log.f64 10) 4)) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 8 (.f64 2 (.f64 (atan2.f64 im re) 4))) (.f64 (.f64 2 (.f64 (log.f64 10) 4)) 8))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 2 (.f64 2 (.f64 (atan2.f64 im re) 4))) (.f64 4 (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 8 (.f64 (atan2.f64 im re) 4)) (.f64 (.f64 (log.f64 10) 4) 8))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 4 (.f64 2 (atan2.f64 im re))) (.f64 2 (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (log.f64 10) (/.f64 (.f64 2 (atan2.f64 im re)) (+.f64 2 (/.f64 0 (log.f64 10))))) (*.f64 (log.f64 10) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (log.f64 10)))) (*.f64 (log.f64 10) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 2 (log.f64 10)) (.f64 2 (atan2.f64 im re))) (.f64 (log.f64 10) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 2 (log.f64 10)) (/.f64 (.f64 (atan2.f64 im re) 4) (+.f64 2 (/.f64 0 (log.f64 10))))) (.f64 (log.f64 10) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) (+.f64 2 (/.f64 0 (log.f64 10))))) (.f64 (log.f64 10) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) 4) (.f64 (atan2.f64 im re) 4)) (.f64 (.f64 (log.f64 10) 4) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) 4) (.f64 (log.f64 10) (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10)))) (.f64 (.f64 (log.f64 10) 4) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) 4)) (.f64 (.f64 (log.f64 10) 4) (.f64 2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) 4) (.f64 2 (.f64 (atan2.f64 im re) 4))) (.f64 (.f64 2 (.f64 (log.f64 10) 4)) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (.f64 (log.f64 10) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 2 (log.f64 10)) (atan2.f64 im re)) (.f64 2 (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) 4) (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10))) (.f64 4 (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 2 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10)) (log.f64 10))) (/.f64 8 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 4 (/.f64 (.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) (log.f64 10))) (*.f64 (/.f64 8 (log.f64 10)) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 (log.f64 10) 2) (.f64 (atan2.f64 im re) 1/2)) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 1 (log.f64 10)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))) (*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 2 (/.f64 (/.f64 (.f64 2 (atan2.f64 im re)) (log.f64 10)) (log.f64 10))) (/.f64 4 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 4 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10)) (log.f64 10))) (/.f64 16 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 1/2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 2 (log.f64 10)))) (*.f64 (/.f64 1/2 (log.f64 10)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 2 (log.f64 10)) (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 10))) (.f64 2 (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) 4) (.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10)))) (.f64 8 (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 1/2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10)))) (*.f64 1/2 (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 (log.f64 10) 2) (atan2.f64 im re)) (.f64 (log.f64 10) (/.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 1 (log.f64 10)) (/.f64 (/.f64 (.f64 2 (atan2.f64 im re)) (log.f64 10)) (log.f64 10))) (*.f64 (/.f64 2 (log.f64 10)) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 4 (.f64 (log.f64 10) 4)) (.f64 4 (.f64 (atan2.f64 im re) 4))) (.f64 (.f64 4 (.f64 (log.f64 10) 4)) (.f64 4 (.f64 (log.f64 10) 4))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (log.f64 10) (/.f64 2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 8 (log.f64 10)) (.f64 2 (*.f64 (atan2.f64 im re) 4))) 64)
(/.f64 (.f64 8 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10))) 64)
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 64) 64)
(/.f64 (.f64 (.f64 (atan2.f64 im re) 4) (/.f64 16 (log.f64 10))) 64)
(/.f64 (.f64 8 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10))) 64)
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 64) 64)
(/.f64 (.f64 (.f64 2 (*.f64 (atan2.f64 im re) 4)) (/.f64 8 (log.f64 10))) 64)
(/.f64 (.f64 8 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10))) 64)
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 64) 64)
(/.f64 (.f64 (/.f64 16 (log.f64 10)) (.f64 (atan2.f64 im re) 4)) 64)
(/.f64 (.f64 8 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10))) 64)
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 64) 64)
(/.f64 (.f64 (.f64 (log.f64 10) 4) (/.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 10)) (log.f64 10))) 16)
(/.f64 (.f64 (.f64 (log.f64 10) 4) (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 10) (log.f64 10)))) 16)
(/.f64 (.f64 4 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10))) 32)
(/.f64 (.f64 (/.f64 (/.f64 1/2 (log.f64 10)) 4) (.f64 2 (*.f64 (atan2.f64 im re) 4))) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 1 (log.f64 10)) (/.f64 (.f64 2 (atan2.f64 im re)) (+.f64 2 (/.f64 0 (log.f64 10))))) (/.f64 (log.f64 10) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
✓	0.9b	(/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))
✓	0.9b	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
✓	1.0b	(/.f64 -3/2 (log.f64 10))

Compiler

Compiled 54 to 35 computations (35.2% saved)

series4.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	re	@	-inf	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
1.0ms	im	@	0	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
0.0ms	im	@	-inf	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
0.0ms	im	@	inf	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
0.0ms	re	@	inf	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))

rewrite122.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best-4`
1432×	`rational_best-2`
1432×	`rational_best-3`
1432×	`rational_best-1`
1432×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	108
1	108	108
2	254	108
3	881	74
4	5288	74

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

Inputs
(/.f64 -3/2 (log.f64 10))
(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3/2 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -3/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3/4 (log.f64 10)) (/.f64 -3/4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -3/2 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -3/4 (log.f64 10)) (/.f64 (neg.f64 (/.f64 -3/2 (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -3/2 (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -3/2 (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -3/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -3 (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -3 (log.f64 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -6 (/.f64 1 (.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 -3 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 10)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (log.f64 10) 4)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -6 (log.f64 10)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -12 (/.f64 1 (.f64 2 (.f64 (log.f64 10) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -3/2 (log.f64 10)) 1)))))
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simplify185.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1582×	`rational_best-simplify-47`
1224×	`rational_best-simplify-49`
1134×	`rational_best-simplify-53`
1084×	`rational_best-simplify-108`
764×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	8708
1	1253	5486
2	6396	5484

Stop Event

1×	node limit

Counts

258 → 207

Calls

Call 1

Inputs
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(/.f64 (+.f64 (.f64 -6 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 -6 (/.f64 (atan2.f64 im re) (log.f64 10)))) 8)
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (.f64 (/.f64 -6 (log.f64 10)) (.f64 (atan2.f64 im re) 4)) 16)
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (.f64 (.f64 (atan2.f64 im re) 4) (/.f64 -6 (log.f64 10))) 16)
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (*.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (log.f64 10)) (/.f64 1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) -2)) (/.f64 -1/2 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) 2)) (/.f64 1/2 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) -4)) (/.f64 -1/4 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 -3 (log.f64 10))) (log.f64 10)) (/.f64 2 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 -3 (log.f64 10))) (.f64 (log.f64 10) -2)) (/.f64 -1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 -3 (log.f64 10))) (.f64 (log.f64 10) 2)) (/.f64 1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 -3 (log.f64 10))) (.f64 (log.f64 10) -4)) (/.f64 -1/2 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (*.f64 -6 (/.f64 (atan2.f64 im re) (log.f64 10))) (log.f64 10)) (/.f64 4 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 -6 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) -2)) (/.f64 4 (*.f64 (log.f64 10) -2)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 -6 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) 2)) (/.f64 2 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (.f64 -6 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) -4)) (/.f64 -1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))
(pow.f64 (*.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10)))
✓	0.9b	(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10))
✓	0.9b	(.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))
✓	1.0b	(/.f64 1/2 (*.f64 (log.f64 10) 2))

Compiler

Compiled 65 to 49 computations (24.6% saved)

series5.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10))
0.0ms	im	@	0	(.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))
0.0ms	im	@	inf	(.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))
0.0ms	im	@	-inf	(.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))
0.0ms	re	@	-inf	(.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))

rewrite131.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational_best-2`
1486×	`rational_best-3`
1486×	`rational_best-1`
1470×	`rational_best-4`
1470×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	120	108
2	274	108
3	978	64
4	5588	64

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 (log.f64 10) 2))
(.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))
(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (log.f64 10)) (/.f64 1/8 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/8 (log.f64 10)) (/.f64 (neg.f64 (/.f64 1/4 (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/8 (log.f64 10)) (/.f64 (neg.f64 (/.f64 1/2 (log.f64 10))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (log.f64 10) (.f64 (log.f64 10) (.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 10) (/.f64 1/4 (.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/8 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/4 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 10) (.f64 (log.f64 10) (.f64 (log.f64 10) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/4 (.f64 (log.f64 10) (log.f64 10))) (/.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/2 (.f64 (log.f64 10) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 2 (.f64 (log.f64 10) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 10) (.f64 (log.f64 10) (.f64 (log.f64 10) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 10)) (/.f64 (log.f64 10) (.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (log.f64 10) (.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (log.f64 10) (log.f64 10))) (/.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (log.f64 10) (log.f64 10))) (.f64 1 (/.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) (/.f64 (log.f64 10) (.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (log.f64 10)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (log.f64 10)) (/.f64 (log.f64 10) (.f64 (log.f64 10) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 10))) (/.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (log.f64 10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (.f64 (log.f64 10) (log.f64 10)) (log.f64 10))) (/.f64 (log.f64 10) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (log.f64 10)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 12) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re))) (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re))) (-.f64 0 (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 12) 4) (/.f64 (neg.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 10) 4) (.f64 2 (.f64 (atan2.f64 im re) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (atan2.f64 im re) 8)) (.f64 (log.f64 10) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 im re) (+.f64 (atan2.f64 im re) (.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 im re) (/.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 2 (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 im re) (/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 12) (.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (atan2.f64 im re)) (.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 4) (/.f64 0 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (atan2.f64 im re)) (neg.f64 (.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (atan2.f64 im re)) (/.f64 (neg.f64 (.f64 (atan2.f64 im re) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (atan2.f64 im re)) (-.f64 (neg.f64 (atan2.f64 im re)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 8) (.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan2.f64 im re) (.f64 2 (atan2.f64 im re))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 2 (atan2.f64 im re))) 2) (/.f64 (neg.f64 (.f64 2 (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 12) (.f64 (log.f64 10) 4)) (/.f64 (neg.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))) (.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (atan2.f64 im re) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 10) (.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/4 (log.f64 10)) (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (log.f64 10)) (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (log.f64 10)) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 1/8 (log.f64 10)) (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 10)) (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 4) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 8)) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 10) 2) (.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (atan2.f64 im re) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 1 (log.f64 10)) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 (log.f64 10)) (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 8))) (/.f64 (/.f64 1/2 (log.f64 10)) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 (log.f64 10)) (.f64 (atan2.f64 im re) 8)) (/.f64 1/2 (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (log.f64 10) 2) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)) (/.f64 (/.f64 1/8 (log.f64 10)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 (log.f64 10)) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)) (/.f64 (/.f64 1/4 (log.f64 10)) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) 4) 1)))))
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(.f64 (log.f64 10) (atan2.f64 im re)) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1/4 (.f64 (log.f64 10) (log.f64 10))) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (atan2.f64 im re) 8) (/.f64 2 (log.f64 10))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16) 4) (.f64 (.f64 (log.f64 10) 8) (.f64 (log.f64 10) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) 4)) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (log.f64 10) 4)) (/.f64 1/4 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))))

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

914×	`rational_best-simplify-47`
862×	`rational_best-simplify-60`
842×	`rational_best-simplify-108`
704×	`rational_best-simplify-50`
602×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	7404
1	1162	5580
2	5141	5404

Stop Event

1×	node limit

Counts

256 → 231

Calls

Call 1

Inputs
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 4 (.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
(*.f64 4 (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (/.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 2 (atan2.f64 im re))) (.f64 (log.f64 10) 8)) (/.f64 (neg.f64 (.f64 2 (atan2.f64 im re))) (*.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 12) (.f64 (log.f64 10) (.f64 2 (.f64 (log.f64 10) 8)))) (/.f64 (neg.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4))) (.f64 (log.f64 10) (.f64 2 (.f64 (log.f64 10) 8)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (/.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) 4)) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (/.f64 (.f64 4 (.f64 (log.f64 10) (log.f64 10))) (*.f64 4 (log.f64 10))))
(/.f64 (atan2.f64 im re) (+.f64 (/.f64 (*.f64 4 (log.f64 10)) 4) (/.f64 0 (log.f64 10))))
(/.f64 (atan2.f64 im re) (+.f64 (/.f64 0 (log.f64 10)) (/.f64 (*.f64 4 (log.f64 10)) 4)))
(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (.f64 (log.f64 10) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 10) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (atan2.f64 im re) 4) (/.f64 (.f64 (log.f64 10) (.f64 2 (.f64 (log.f64 10) 8))) (*.f64 (log.f64 10) 4)))
(/.f64 (.f64 4 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 10) (.f64 2 (.f64 (log.f64 10) 8))) (*.f64 4 (log.f64 10))))
(/.f64 (.f64 4 (atan2.f64 im re)) (+.f64 (/.f64 (.f64 (log.f64 10) 16) 4) (/.f64 0 (log.f64 10))))
(/.f64 (.f64 4 (atan2.f64 im re)) (+.f64 (/.f64 0 (log.f64 10)) (/.f64 (.f64 (log.f64 10) 16) 4)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (log.f64 10) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 8)) (.f64 (log.f64 10) (.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 2 (atan2.f64 im re)) (.f64 (log.f64 10) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 8))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16) (.f64 (log.f64 10) (.f64 2 (*.f64 (log.f64 10) 8))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16) (.f64 (.f64 (log.f64 10) (*.f64 (log.f64 10) 8)) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16) (+.f64 (.f64 (log.f64 10) (.f64 (log.f64 10) 8)) (.f64 (log.f64 10) (.f64 (log.f64 10) 8))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re))) (.f64 (log.f64 10) (.f64 (log.f64 10) 2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re))) (+.f64 (.f64 (log.f64 10) (log.f64 10)) (.f64 (log.f64 10) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) 4)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (/.f64 1 (log.f64 10)) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 8)) (.f64 2 (.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 4)) (.f64 (.f64 (log.f64 10) 4) (.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 4)) (.f64 (.f64 (log.f64 10) 8) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 4)) (.f64 (.f64 (log.f64 10) (.f64 2 (*.f64 (log.f64 10) 8))) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 4)) (+.f64 (.f64 (log.f64 10) (.f64 2 (.f64 (log.f64 10) 8))) (.f64 (log.f64 10) (.f64 2 (*.f64 (log.f64 10) 8)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)) (/.f64 (.f64 (log.f64 10) 2) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 8) (log.f64 10)) 8)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10)) (.f64 (/.f64 2 (log.f64 10)) (*.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) 4)) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10)) (.f64 (log.f64 10) 4)) (/.f64 2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (.f64 (log.f64 10) 4)) (/.f64 (.f64 (log.f64 10) (log.f64 10)) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)) (/.f64 (log.f64 10) (.f64 (log.f64 10) 4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) 4) (/.f64 (log.f64 10) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 im re) 8)) (.f64 2 (.f64 (atan2.f64 im re) 8))) (+.f64 (.f64 2 (.f64 (log.f64 10) 8)) (.f64 2 (.f64 (log.f64 10) 8))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 4 (.f64 (atan2.f64 im re) 8)) (.f64 (.f64 (log.f64 10) 8) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 4 (.f64 2 (.f64 (atan2.f64 im re) 8))) (.f64 (.f64 2 (.f64 (log.f64 10) 8)) 4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 1 (log.f64 10)) (.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))) (*.f64 4 (/.f64 1 (log.f64 10))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 1 (/.f64 4 (log.f64 10)))) (*.f64 1 (/.f64 4 (log.f64 10))))
(+.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 4) (/.f64 0 (/.f64 2 (log.f64 10))))
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(/.f64 (.f64 4 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)) (.f64 (.f64 (log.f64 10) 8) (.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 2 (.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 4))) (.f64 (.f64 (log.f64 10) 8) (*.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 1 (log.f64 10)) (.f64 2 (*.f64 (atan2.f64 im re) 8))) 16)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16) (/.f64 1 (.f64 (log.f64 10) (log.f64 10)))) 16)
(/.f64 (.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 10))) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)) 16)
(/.f64 (.f64 16 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 16)
(/.f64 (.f64 (.f64 2 (*.f64 (atan2.f64 im re) 8)) (/.f64 1 (log.f64 10))) 16)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (.f64 (atan2.f64 im re) 8) (.f64 (log.f64 10) 4)) 2) (.f64 (.f64 (log.f64 10) 8) (*.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 1/2 (.f64 (log.f64 10) (.f64 2 (atan2.f64 im re)))) (.f64 (log.f64 10) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 2 (log.f64 10)) (.f64 (atan2.f64 im re) 8)) 16)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 10))) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)) 16)
(/.f64 (.f64 16 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 16)
(/.f64 (.f64 (/.f64 1/4 (.f64 (log.f64 10) (log.f64 10))) (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16)) 4)
(/.f64 (.f64 16 (.f64 1/4 (/.f64 (atan2.f64 im re) (log.f64 10)))) 4)
(/.f64 (.f64 (.f64 (atan2.f64 im re) 8) (/.f64 2 (log.f64 10))) 16)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) 16) 4) (.f64 (.f64 (log.f64 10) 8) (.f64 (log.f64 10) 8)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) 4)) (/.f64 1/2 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) 4)) (/.f64 1/4 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4)
	0.8b	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	1.0b	(/.f64 2 (log.f64 10))

Compiler

Compiled 75 to 50 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4)
0.0ms	im	@	inf	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4)
0.0ms	re	@	-inf	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4)
0.0ms	im	@	-inf	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4)
0.0ms	re	@	inf	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational_best-simplify-82`
858×	`rational_best-simplify-64`
718×	`rational_best-4`
718×	`rational_best-2`
718×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	72	23
2	147	23
3	425	23
4	1823	23

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (+.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (*.f64 (*.f64 (atan2.f64 im re) 2) 5/2) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (atan2.f64 im re) 2) 5/2) (*.f64 (log.f64 10) 2)) (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 0 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)) (/.f64 (*.f64 (*.f64 (atan2.f64 im re) 2) 5/2) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (atan2.f64 im re) 2) 5/2) (*.f64 (log.f64 10) 2)) (*.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 10) (*.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 10) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) 1/2) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 (atan2.f64 im re) 2)) 1/2) (*.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 (atan2.f64 im re) 2)) -2) (neg.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 (atan2.f64 im re) 4)) (log.f64 10)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10)) (/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10))) (/.f64 2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 (atan2.f64 im re) 4)) (*.f64 4 (*.f64 (atan2.f64 im re) 4))) (*.f64 4 (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) (/.f64 8 (log.f64 10))) (*.f64 (atan2.f64 im re) 3)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 4 (*.f64 (atan2.f64 im re) 2))) (*.f64 4 (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 4 (*.f64 (atan2.f64 im re) 2))) (*.f64 (*.f64 (log.f64 10) 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 10) 2) (*.f64 (atan2.f64 im re) 2)) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 10) 2) (*.f64 4 (*.f64 (atan2.f64 im re) 2))) (*.f64 (log.f64 10) (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 10) 4) (*.f64 4 (*.f64 (atan2.f64 im re) 4))) (*.f64 (*.f64 (log.f64 10) 4) (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 4 (*.f64 (atan2.f64 im re) 2))) (*.f64 (log.f64 10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10)) 4) (*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 1)))))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational_best-simplify-49`
1200×	`rational_best-simplify-53`
824×	`rational_best-simplify-108`
628×	`rational_best-simplify-55`
570×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	2060
1	443	2004
2	1579	1852

Stop Event

1×	node limit

Counts

70 → 60

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(+.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 0)
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (+.f64 (.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(+.f64 (.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)))
(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)) (.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 0 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2))))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 0)
(-.f64 0 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(-.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4) 2))
(-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))
(-.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)) (.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4)
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 1)
(/.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 10) 2))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) 2)
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 10))
(/.f64 (.f64 4 (.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 10) 2))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16) 4)
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10)) (/.f64 1 (log.f64 10)))
(/.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16)) 8)
(/.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 10) 4))
(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 10) (log.f64 10)))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) 1/2) (.f64 (log.f64 10) 2))
(/.f64 (/.f64 (.f64 4 (.f64 (atan2.f64 im re) 2)) 1/2) (*.f64 (log.f64 10) 4))
(/.f64 (/.f64 (.f64 4 (.f64 (atan2.f64 im re) 2)) -2) (neg.f64 (log.f64 10)))
(/.f64 (/.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (log.f64 10)) 4)
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10))) (/.f64 2 (log.f64 10)))
(/.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (.f64 4 (.f64 (atan2.f64 im re) 4))) (.f64 4 (.f64 (log.f64 10) 2)))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) (/.f64 8 (log.f64 10))) (.f64 (atan2.f64 im re) 3)) (log.f64 10))
(/.f64 (.f64 4 (.f64 4 (.f64 (atan2.f64 im re) 2))) (.f64 4 (*.f64 (log.f64 10) 2)))
(/.f64 (.f64 8 (.f64 4 (.f64 (atan2.f64 im re) 2))) (.f64 (*.f64 (log.f64 10) 2) 8))
(/.f64 (.f64 (/.f64 (log.f64 10) 2) (.f64 (atan2.f64 im re) 2)) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 (log.f64 10) 2)))
(/.f64 (.f64 (.f64 (log.f64 10) 2) (.f64 4 (.f64 (atan2.f64 im re) 2))) (.f64 (log.f64 10) (.f64 (log.f64 10) 4)))
(/.f64 (.f64 (.f64 (log.f64 10) 4) (.f64 4 (.f64 (atan2.f64 im re) 4))) (.f64 (.f64 (log.f64 10) 4) (*.f64 (log.f64 10) 4)))
(/.f64 (.f64 4 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16)) 16)
(/.f64 (-.f64 0 (.f64 4 (.f64 (atan2.f64 im re) 2))) (*.f64 (log.f64 10) -2))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10)) 4) (.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 1)

Outputs
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 0)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (+.f64 (.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 10))) (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 10))) (/.f64 (.f64 (atan2.f64 im re) 5) (*.f64 (log.f64 10) 2)))
(-.f64 (.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 10))) (/.f64 (.f64 (atan2.f64 im re) 5) (*.f64 (log.f64 10) -2)))
(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)) (.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 10))) (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 10))) (/.f64 (.f64 (atan2.f64 im re) 5) (*.f64 (log.f64 10) 2)))
(-.f64 (.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 10))) (/.f64 (.f64 (atan2.f64 im re) 5) (*.f64 (log.f64 10) -2)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 0 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2))))
(-.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)) (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (/.f64 (atan2.f64 im re) (log.f64 10))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 5) (.f64 (log.f64 10) 2)) (.f64 3 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 5) (.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 0)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 0 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(-.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4) 2))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)) (.f64 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(-.f64 (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 5/2) (.f64 (log.f64 10) 2)) (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (/.f64 (atan2.f64 im re) (log.f64 10))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 5) (.f64 (log.f64 10) 2)) (.f64 3 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 5) (.f64 (log.f64 10) 2)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4)
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 1)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 10) 2))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) 2)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 10))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (.f64 4 (.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 10) 2))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16) 4)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10)) (/.f64 1 (log.f64 10)))
(-.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 0 (log.f64 10)))
(/.f64 (-.f64 (*.f64 4 (atan2.f64 im re)) 0) (log.f64 10))
(/.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16)) 8)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 10) 4))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 10) (log.f64 10)))
(-.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 0 (log.f64 10)))
(/.f64 (-.f64 (*.f64 4 (atan2.f64 im re)) 0) (log.f64 10))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) 1/2) (.f64 (log.f64 10) 2))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (/.f64 (.f64 4 (.f64 (atan2.f64 im re) 2)) 1/2) (*.f64 (log.f64 10) 4))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (/.f64 (.f64 4 (.f64 (atan2.f64 im re) 2)) -2) (neg.f64 (log.f64 10)))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (/.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (log.f64 10)) 4)
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) (log.f64 10))) (/.f64 2 (log.f64 10)))
(-.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 0 (log.f64 10)))
(/.f64 (-.f64 (*.f64 4 (atan2.f64 im re)) 0) (log.f64 10))
(/.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (.f64 4 (.f64 (atan2.f64 im re) 4))) (.f64 4 (.f64 (log.f64 10) 2)))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 8 (log.f64 10))) (/.f64 8 (log.f64 10))) (.f64 (atan2.f64 im re) 3)) (log.f64 10))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 16 (log.f64 10))) (/.f64 16 (log.f64 10))) (.f64 (atan2.f64 im re) 3)) (log.f64 10))
(+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 0 (/.f64 8 (log.f64 10)))) (/.f64 (*.f64 (atan2.f64 im re) 3) (log.f64 10)))
(/.f64 (.f64 4 (.f64 4 (.f64 (atan2.f64 im re) 2))) (.f64 4 (*.f64 (log.f64 10) 2)))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (.f64 8 (.f64 4 (.f64 (atan2.f64 im re) 2))) (.f64 (*.f64 (log.f64 10) 2) 8))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (.f64 (/.f64 (log.f64 10) 2) (.f64 (atan2.f64 im re) 2)) (*.f64 (/.f64 (log.f64 10) 2) (/.f64 (log.f64 10) 2)))
(-.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 0 (log.f64 10)))
(/.f64 (-.f64 (*.f64 4 (atan2.f64 im re)) 0) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) 2) (.f64 4 (.f64 (atan2.f64 im re) 2))) (.f64 (log.f64 10) (.f64 (log.f64 10) 4)))
(-.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 0 (log.f64 10)))
(/.f64 (-.f64 (*.f64 4 (atan2.f64 im re)) 0) (log.f64 10))
(/.f64 (.f64 (.f64 (log.f64 10) 4) (.f64 4 (.f64 (atan2.f64 im re) 4))) (.f64 (.f64 (log.f64 10) 4) (*.f64 (log.f64 10) 4)))
(-.f64 (*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 0 (log.f64 10)))
(/.f64 (-.f64 (*.f64 4 (atan2.f64 im re)) 0) (log.f64 10))
(/.f64 (.f64 4 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 16)) 16)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (-.f64 0 (.f64 4 (.f64 (atan2.f64 im re) 2))) (*.f64 (log.f64 10) -2))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1/4))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 4))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10)) 4) (.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))
(/.f64 (.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (.f64 (log.f64 10) (log.f64 10)))) (/.f64 1 (*.f64 (log.f64 10) (log.f64 10))))
(.f64 (/.f64 (-.f64 (.f64 4 (atan2.f64 im re)) 0) (log.f64 10)) (/.f64 (log.f64 10) (log.f64 10)))
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 10))) 1)
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 10)))

eval1.2s (13.9%)

Compiler: Compiled 37831 to 30113 computations (20.4% saved)

prune953.0ms (11.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1575	3	1578
Fresh	2	0	2
Picked	1	0	1
Done	3	2	5
Total	1581	5	1586

Error

Counts

1586 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.1b	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
▶	11.4b	(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
✓	1.0b	(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
▶	1.0b	(.f64 1/2 (-.f64 (.f64 (.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10)))) 4) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))

Compiler

Compiled 84 to 71 computations (15.5% saved)

localize129.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
	1.0b	(*.f64 (log.f64 10) (log.f64 10))
	1.0b	(/.f64 1 (log.f64 10))
	1.0b	(/.f64 2 (log.f64 10))

Compiler

Compiled 169 to 138 computations (18.3% saved)

localize75.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
✓	0.9b	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))
✓	2.2b	(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)

Compiler

Compiled 42 to 29 computations (31% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
0.0ms	im	@	inf	(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
0.0ms	re	@	inf	(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
0.0ms	im	@	-inf	(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
0.0ms	re	@	-inf	(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)

rewrite118.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`rational_best-simplify-60`
1306×	`rational_best-4`
1306×	`rational_best-2`
1306×	`rational_best-3`
1306×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	93	75
2	196	73
3	672	61
4	4054	61

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs
(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))
(-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (atan2.f64 im re) 2) (log.f64 10)) (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))) (-.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1 (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 -1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 10)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (-.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1/2 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))) (-.f64 -1/2 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 2) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)) (*.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify137.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational_best-simplify-61`
1430×	`rational_best-simplify-1`
734×	`rational_best-simplify-60`
678×	`rational_best-simplify-47`
644×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	5622
1	785	5146
2	3353	5118

Stop Event

1×	node limit

Counts

240 → 186

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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Outputs
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(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(+.f64 (-.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(+.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (-.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(+.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 2))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(+.f64 (-.f64 -1/2 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))) (-.f64 -1/2 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10))))
(+.f64 (-.f64 -1/2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2))) (-.f64 -1/2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2))))
(+.f64 (-.f64 -1/2 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) -1/2))) (-.f64 -1/2 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) -1/2))))
(+.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 2) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(*.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(*.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(*.f64 1 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(*.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(*.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2) 1/2)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(*.f64 1/2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(.f64 (.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)) 1/4)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(.f64 1/4 (.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(/.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(/.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2) 2)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(/.f64 (*.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)) 4)
(/.f64 (.f64 4 (-.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 2)) 8)
(/.f64 (.f64 4 (+.f64 -2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))) 8)
(/.f64 (+.f64 (.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)) (.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2))) 8)
(/.f64 (*.f64 2 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) 2)) 4)
(/.f64 (.f64 4 (-.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 2)) 8)
(/.f64 (.f64 4 (+.f64 -2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))))) 8)
(pow.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(neg.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 -1 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)

localize67.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	1.0b	(/.f64 1 (log.f64 10))

Compiler

Compiled 42 to 32 computations (23.8% saved)

eval460.0ms (5.4%)

Compiler: Compiled 18652 to 15464 computations (17.1% saved)

prune228.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	647	2	649
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	649	5	654

Error

Counts

654 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.1b	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
▶	0.8b	(/.f64 (.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10)))) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
▶	11.4b	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)
✓	1.0b	(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)

Compiler

Compiled 78 to 68 computations (12.8% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	2.3b	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)

Compiler

Compiled 35 to 22 computations (37.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
0.0ms	im	@	0	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)
0.0ms	re	@	-inf	(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
0.0ms	re	@	0	(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
0.0ms	im	@	-inf	(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)

rewrite94.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	82	52
2	178	40
3	500	40
4	2431	40

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))) (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))) (+.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))) (+.f64 1 (+.f64 -2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))) (+.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -4) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 -2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))) (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 (+.f64 1 (/.f64 (*.f64 (atan2.f64 im re) 2) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1) 2) (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4)) (/.f64 (*.f64 (atan2.f64 im re) 3) (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) 2) (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 (*.f64 (atan2.f64 im re) 2) (log.f64 10))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) (*.f64 (log.f64 10) 4)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))) -1) (+.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) 2) 1) (+.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 2 (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 2 (/.f64 1 (*.f64 (log.f64 10) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (-.f64 (/.f64 1 (log.f64 10)) (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1 (*.f64 (log.f64 10) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 -2 (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (log.f64 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1/2 (log.f64 10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (-.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (atan2.f64 im re) 2) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 10) 4)) (*.f64 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(*.f64 (log.f64 10) 2)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (log.f64 10)) (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) (log.f64 10))) (*.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 10) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 10) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 10) (*.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))) (*.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 10) 2) (*.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))) (*.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 10) (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) (*.f64 (log.f64 10) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 10) 2) (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) (*.f64 (log.f64 10) 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify267.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational_best-simplify-108`
834×	`rational_best-simplify-49`
754×	`rational_best-simplify-53`
686×	`rational_best-simplify-51`
522×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	5490
1	1483	5464
2	6654	5310

Stop Event

1×	node limit

Counts

252 → 227

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
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(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(.f64 (atan2.f64 im re) (.f64 2 (/.f64 1/2 (log.f64 10))))
(.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(.f64 -2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 10)))
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(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 10)) 1/2))
(.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (/.f64 1 (log.f64 10)) (/.f64 1/2 (log.f64 10))))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/2))
(.f64 2 (.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1 (.f64 (log.f64 10) 4))))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 -2 (/.f64 1/2 (log.f64 10))))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 2)) 2)
(.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 10)) 1/2)
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 10) 4)))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1/2 (log.f64 10)) 1/2))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 10))))
(.f64 (.f64 (atan2.f64 im re) 4) (-.f64 (/.f64 1/2 (log.f64 10)) (/.f64 1 (*.f64 (log.f64 10) 4))))
(.f64 1/2 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(.f64 (/.f64 1/2 (log.f64 10)) (.f64 (atan2.f64 im re) 2))
(.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (*.f64 (atan2.f64 im re) 4))
(.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (.f64 (.f64 (*.f64 (atan2.f64 im re) 2) 4) 1/2))
(.f64 (.f64 (atan2.f64 im re) -2) (-.f64 0 (/.f64 1/2 (log.f64 10))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) 1/4)
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (/.f64 1/2 (.f64 (log.f64 10) 4)))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (.f64 (/.f64 1 (*.f64 (log.f64 10) 4)) 1/2))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 4) (-.f64 (/.f64 1 (.f64 (log.f64 10) 4)) (/.f64 1/2 (*.f64 (log.f64 10) 4))))
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(/.f64 (*.f64 (log.f64 10) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)) (log.f64 10))
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(/.f64 (.f64 (log.f64 10) (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) (*.f64 (log.f64 10) 4))
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(neg.f64 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(-.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 1)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(*.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(.f64 2 (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 1/2))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(.f64 (.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(.f64 1/2 (.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(.f64 (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 1/4)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(.f64 1/4 (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 1)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (*.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)
(/.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))) 1/2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 16) 16)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) 8)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 16) 16)
(/.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) (log.f64 10)) (/.f64 1 (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) (*.f64 (log.f64 10) 2)) (/.f64 1/2 (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) (log.f64 10)) (/.f64 4 (log.f64 10)))
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 16) 16)
(/.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) (/.f64 (log.f64 10) 2)) (/.f64 2 (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (-.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 10) 4)) (*.f64 (log.f64 10) 2))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (-.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (log.f64 10)) 4) 2)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 10) 8)) (*.f64 (log.f64 10) 4))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) 2) (log.f64 10)) (/.f64 (log.f64 10) 2))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) 1/2) (log.f64 10)) (/.f64 (log.f64 10) 2))
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (/.f64 2 (log.f64 10))) (/.f64 1 (log.f64 10)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 10)) (/.f64 2 (log.f64 10))) (.f64 (log.f64 10) 2)) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (.f64 4 (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) 16)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 16) 16)
(/.f64 (.f64 (/.f64 1 (log.f64 10)) (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) (log.f64 10))) (.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (log.f64 10))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (*.f64 (log.f64 10) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)) (log.f64 10))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(/.f64 (.f64 (.f64 (log.f64 10) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)) (*.f64 (log.f64 10) 2))
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 16) 16)
(/.f64 (.f64 (log.f64 10) (.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))) (*.f64 (log.f64 10) 2))
(/.f64 (.f64 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (log.f64 10) -2)) (*.f64 (log.f64 10) 2))
(+.f64 (/.f64 (*.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 0)
(+.f64 0 (/.f64 (*.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(/.f64 (.f64 (.f64 (log.f64 10) 2) (.f64 -2 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))) (.f64 (log.f64 10) 4))
(/.f64 (.f64 (.f64 (log.f64 10) -4) (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10)))) (*.f64 (log.f64 10) 4))
(/.f64 (.f64 (log.f64 10) (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) (*.f64 (log.f64 10) 4))
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 16) 16)
(/.f64 (.f64 (.f64 (log.f64 10) 2) (.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4)) (.f64 (log.f64 10) 8))
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 4) 4)
(/.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 16) 16)
(pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) 1)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)
(neg.f64 (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 10))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2)

localize65.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
	0.8b	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
	1.0b	(/.f64 1 (log.f64 10))
	1.0b	(*.f64 (log.f64 10) (log.f64 10))

Compiler

Compiled 103 to 87 computations (15.5% saved)

eval637.0ms (7.4%)

Compiler: Compiled 22580 to 19536 computations (13.5% saved)

prune171.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	777	2	779
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	778	6	784

Error

Counts

784 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.1b	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
	0.8b	(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 3)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10)))) (.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
	11.4b	(-.f64 (/.f64 (-.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (log.f64 10)) -2)
✓	11.4b	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)
✓	1.0b	(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)

Compiler

Compiled 89 to 77 computations (13.5% saved)

regimes31.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)
(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
(-.f64 (/.f64 (-.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (log.f64 10)) -2)
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
(.f64 (/.f64 1/2 (.f64 (log.f64 10) 2)) (/.f64 (.f64 (log.f64 10) (.f64 (atan2.f64 im re) 4)) (log.f64 10)))
(.f64 1/2 (-.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(+.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4))) (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 3)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10)))) (.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(/.f64 (.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10)))) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(.f64 1/2 (-.f64 (.f64 (.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10)) (/.f64 (log.f64 10) (/.f64 1 (log.f64 10)))) 4) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))))

Outputs
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))

Calls

4 calls:

9.0ms	im
8.0ms	re
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms	(atan2.f64 im re)

Results

Error	Segments	Branch
0.1b	1	`re`
0.1b	1	`im`
0.1b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.1b	1	`(atan2.f64 im re)`

Compiler

Compiled 292 to 224 computations (23.3% saved)

regimes17.0ms (0.2%)

Accuracy

Total -10.5b remaining (-1205.9%)

Threshold costs -10.5b (-1205.9%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10))) 1/2)
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -2) -2)
(+.f64 (-.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))) 1)
(-.f64 (/.f64 (-.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2)) (log.f64 10)) -2)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Calls

4 calls:

5.0ms	re
4.0ms	im
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
2.0ms	(atan2.f64 im re)

Results

Error	Segments	Branch
0.9b	1	`re`
0.9b	1	`im`
0.9b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.9b	1	`(atan2.f64 im re)`

Compiler

Compiled 71 to 51 computations (28.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (*.f64 (log.f64 10) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational_best-simplify-1`
1050×	`rational_best-simplify-54`
950×	`rational_best-simplify-65`
912×	`rational_best-simplify-64`
722×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	3050
1	673	2940
2	2412	2752

Stop Event

1×	node limit

Compiler

Compiled 164 to 111 computations (32.3% saved)

end23.0ms (0.3%)

Compiler: Compiled 22 to 17 computations (22.7% saved)

Details

analyze1.0ms (0%)

sample1.3s (15.4%)

preprocess384.0ms (4.5%)

simplify297.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series38.0ms (0.4%)

rewrite74.0ms (0.9%)

simplify107.0ms (1.2%)

eval50.0ms (0.6%)

prune29.0ms (0.3%)

localize37.0ms (0.4%)

series7.0ms (0.1%)

rewrite197.0ms (2.3%)

simplify120.0ms (1.4%)

localize18.0ms (0.2%)

series2.0ms (0%)

rewrite118.0ms (1.4%)

simplify132.0ms (1.5%)

localize25.0ms (0.3%)

series4.0ms (0%)

rewrite122.0ms (1.4%)

simplify185.0ms (2.2%)

localize34.0ms (0.4%)

series5.0ms (0.1%)

rewrite131.0ms (1.5%)

simplify140.0ms (1.6%)

localize32.0ms (0.4%)

series2.0ms (0%)

rewrite69.0ms (0.8%)

simplify77.0ms (0.9%)

eval1.2s (13.9%)

prune953.0ms (11.1%)

localize129.0ms (1.5%)

localize75.0ms (0.9%)

series3.0ms (0%)

rewrite118.0ms (1.4%)

simplify137.0ms (1.6%)

localize67.0ms (0.8%)

eval460.0ms (5.4%)

prune228.0ms (2.7%)

localize17.0ms (0.2%)

series1.0ms (0%)

rewrite94.0ms (1.1%)

simplify267.0ms (3.1%)

localize65.0ms (0.8%)

eval637.0ms (7.4%)

prune171.0ms (2%)

regimes31.0ms (0.4%)

regimes17.0ms (0.2%)

simplify2.0ms (0%)

soundness126.0ms (1.5%)

end23.0ms (0.3%)

Profiling