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)

sample4.1s (13.5%)

Results

4.1s

8256×

body

256

valid

Bogosity

preprocess902.0ms (3%)

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)

simplify682.0ms (2.2%)

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))

eval1.0ms (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)

localize33.0ms (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)

series285.0ms (0.9%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
181.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
100.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
1.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
1.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))
1.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite248.0ms (0.8%)

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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simplify310.0ms (1%)

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))

eval345.0ms (1.1%)

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

prune99.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	134	9	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	134	10	144

Error

0.0b

Counts

144 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	1.0b	(-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (-.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 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))))
▶	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)))
	11.8b	(-.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))))
▶	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))))
▶	0.9b	(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
▶	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 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) 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 420 to 328 computations (21.9% saved)

localize220.0ms (0.7%)

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))
✓	0.9b	(/.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)

series26.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (*.f64 (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)))
1.0ms	re	@	0	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
1.0ms	re	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10))) (log.f64 10))

rewrite542.0ms (1.8%)

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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simplify881.0ms (2.9%)

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

localize53.0ms (0.2%)

Local error

Found 3 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))
	0.9b	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) (log.f64 10)))
	1.0b	(*.f64 (log.f64 10) (log.f64 10))

Compiler

Compiled 36 to 26 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite366.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational_best-2`
1462×	`rational_best-3`
1462×	`rational_best-1`
1458×	`rational_best-4`
1458×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	75	37
2	183	17
3	707	17
4	5064	17

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

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

Outputs

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

simplify310.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational_best-simplify-1`
1236×	`rational_best-simplify-63`
868×	`rational_best-simplify-108`
754×	`rational_best-simplify-61`
686×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	237	3607
1	907	2551
2	4521	2551

Stop Event

1×	node limit

Counts

119 → 101

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

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

localize126.0ms (0.4%)

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)

series32.0ms (0.1%)

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	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))))
1.0ms	im	@	-inf	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
1.0ms	im	@	inf	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))

rewrite338.0ms (1.1%)

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
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simplify600.0ms (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 -3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (/.f64 (neg.f64 (.f64 -3/2 (/.f64 (atan2.f64 im re) (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 -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))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 -3 (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 -6 (/.f64 (atan2.f64 im re) (log.f64 10))) 4)
(*.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 -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))

localize159.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)))
✓	0.1b	(*.f64 (atan2.f64 im re) 3)
✓	0.9b	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4))
✓	0.9b	(/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))

Compiler

Compiled 63 to 44 computations (30.2% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	im	@	-inf	(/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))
0.0ms	im	@	0	(/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))
0.0ms	im	@	inf	(/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))
0.0ms	re	@	inf	(/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))
0.0ms	im	@	0	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4))

rewrite410.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1946×	`rational_best-2`
1946×	`rational_best-1`
826×	`rational_best-simplify-89`
668×	`rational_best-simplify-53`
654×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	122
1	117	122
2	267	112
3	988	82
4	6878	82

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

Inputs
(/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4))
(*.f64 (atan2.f64 im re) 3)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan2.f64 im re) 6) (/.f64 1/8 (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (atan2.f64 im re) 6) (/.f64 1/8 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 8)) (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 16)) (/.f64 (/.f64 (.f64 (atan2.f64 im re) 9) (.f64 (log.f64 10) 8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 16)) (/.f64 (.f64 (atan2.f64 im re) 9) (.f64 (log.f64 10) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (atan2.f64 im re) 6) (/.f64 1/8 (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (.f64 (atan2.f64 im re) 6) (/.f64 1/8 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) (/.f64 -1/4 (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 im re) (/.f64 -1/4 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -8)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -8)) 2) (/.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -16)) (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) (/.f64 -1/4 (log.f64 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -8)) (/.f64 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simplify557.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational_best-simplify-108`
1310×	`rational_best-simplify-49`
1256×	`rational_best-simplify-53`
1124×	`rational_best-simplify-47`
796×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	10646
1	1450	7216
2	7258	7108

Stop Event

1×	node limit

Counts

288 → 242

Calls

Call 1

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

localize207.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
✓	0.9b	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))
	0.9b	(/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) 4))
✓	1.0b	(/.f64 2 (log.f64 10))

Compiler

Compiled 109 to 75 computations (31.2% saved)

series21.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	im	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 10)))
0.0ms	im	@	0	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 4))
0.0ms	re	@	-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)))

rewrite392.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational_best-2`
1230×	`rational_best-3`
1230×	`rational_best-1`
1228×	`rational_best-4`
1228×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	97	57
2	204	57
3	653	57
4	3249	57

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

simplify318.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1072×	`rational_best-simplify-1`
796×	`rational_best-simplify-65`
778×	`rational_best-simplify-80`
674×	`rational_best-simplify-64`
670×	`rational_best-simplify-82`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	4710
1	669	4580
2	2423	4548

Stop Event

1×	node limit

Counts

186 → 171

Calls

Call 1

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

eval3.0s (9.9%)

Compiler: Compiled 33494 to 26342 computations (21.4% saved)

prune1.7s (5.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1271	6	1277
Fresh	4	0	4
Picked	1	0	1
Done	4	1	5
Total	1280	7	1287

Error

Counts

1287 → 7

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))))
▶	0.9b	(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (/.f64 (*.f64 -3/2 (atan2.f64 im re)) (log.f64 10)))
	0.8b	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
▶	0.9b	(+.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 10) -8)) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10)) 2))
▶	0.9b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
▶	0.9b	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))

Compiler

Compiled 238 to 188 computations (21% saved)

localize67.0ms (0.2%)

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)

localize116.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

12 calls:

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

rewrite338.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`rational_best-simplify-64`
832×	`rational_best-4`
832×	`rational_best-2`
832×	`rational_best-3`
832×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	78	67
2	158	67
3	470	67
4	2082	67

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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

simplify366.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational_best-simplify-60`
1274×	`rational_best-simplify-61`
1176×	`rational_best-simplify-1`
942×	`rational_best-simplify-63`
846×	`rational_best-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	269	3368
1	767	3180
2	3672	3180

Stop Event

1×	node limit

Counts

150 → 147

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

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

localize57.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 24 computations (35.1% 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)) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
0.0ms	re	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10))

rewrite447.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`rational_best-2`
1612×	`rational_best-1`
916×	`rational_best-simplify-53`
850×	`rational_best-simplify-49`
630×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	76	64
2	195	44
3	819	44
4	7126	44

Stop Event

1×	node limit

Counts

2 → 211

Calls

Call 1

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

Outputs

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

simplify373.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational_best-simplify-108`
1400×	`rational_best-simplify-49`
1272×	`rational_best-simplify-53`
1230×	`rational_best-simplify-55`
876×	`rational_best-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	465	8723
1	1714	6859

Stop Event

1×	node limit

Counts

259 → 244

Calls

Call 1

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

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

localize80.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 33 computations (40% saved)

series22.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	im	@	inf	(*.f64 -3/2 (atan2.f64 im re))
0.0ms	im	@	-inf	(*.f64 -3/2 (atan2.f64 im re))
0.0ms	re	@	-inf	(*.f64 -3/2 (atan2.f64 im re))
0.0ms	re	@	inf	(*.f64 -3/2 (atan2.f64 im re))
0.0ms	im	@	0	(*.f64 -3/2 (atan2.f64 im re))

rewrite349.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`rational_best-2`
1860×	`rational_best-1`
796×	`rational_best-simplify-53`
742×	`rational_best-simplify-49`
534×	`rational_best-simplify-89`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	108	77
2	272	77
3	1034	53
4	6899	53

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -6) 8) (/.f64 (*.f64 (atan2.f64 im re) -6) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -3/2) 4) (/.f64 (*.f64 (atan2.f64 im re) -9/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (atan2.f64 im re) -6) 8) (/.f64 (*.f64 (atan2.f64 im re) -3/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (atan2.f64 im re) -9/2) 4) (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) -3/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 im re) 2) -6) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) -3/2) 1)))))

simplify538.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1480×	`rational_best-simplify-1`
1456×	`rational_best-simplify-63`
1102×	`rational_best-simplify-49`
1048×	`rational_best-simplify-53`
832×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	7031
1	945	3643
2	5184	3569

Stop Event

1×	node limit

Counts

173 → 149

Calls

Call 1

Inputs
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(.f64 (.f64 (log.f64 10) (*.f64 (atan2.f64 im re) -6)) (/.f64 (/.f64 (/.f64 1/2 (log.f64 10)) 2) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(pow.f64 (/.f64 (*.f64 (atan2.f64 im re) -3/2) (log.f64 10)) 1)
(*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10)))
(+.f64 (*.f64 (atan2.f64 im re) -3/2) 0)
(*.f64 (atan2.f64 im re) -3/2)
(+.f64 0 (*.f64 (atan2.f64 im re) -3/2))
(*.f64 (atan2.f64 im re) -3/2)
(+.f64 (/.f64 (.f64 (atan2.f64 im re) -6) 8) (/.f64 (.f64 (atan2.f64 im re) -6) 8))
(*.f64 (atan2.f64 im re) -3/2)
(+.f64 (/.f64 (.f64 (atan2.f64 im re) -3/2) 4) (/.f64 (.f64 (atan2.f64 im re) -9/2) 4))
(*.f64 (atan2.f64 im re) -3/2)
(-.f64 (*.f64 (atan2.f64 im re) -3/2) 0)
(*.f64 (atan2.f64 im re) -3/2)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) -6) 8) (/.f64 (.f64 (atan2.f64 im re) -3/2) -2))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) -9/2) 4) (/.f64 (neg.f64 (.f64 (atan2.f64 im re) -3/2)) 4))
(*.f64 (atan2.f64 im re) -3/2)
(/.f64 (*.f64 (atan2.f64 im re) -3/2) 1)
(*.f64 (atan2.f64 im re) -3/2)
(/.f64 (*.f64 (atan2.f64 im re) -3) 2)
(*.f64 (atan2.f64 im re) -3/2)
(/.f64 (*.f64 (atan2.f64 im re) -6) 4)
(*.f64 (atan2.f64 im re) -3/2)
(/.f64 (.f64 (.f64 (atan2.f64 im re) 2) -6) 8)
(*.f64 (atan2.f64 im re) -3/2)
(pow.f64 (*.f64 (atan2.f64 im re) -3/2) 1)
(*.f64 (atan2.f64 im re) -3/2)

localize147.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re))
	0.1b	(*.f64 (atan2.f64 im re) 3)
✓	0.9b	(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 10) -8))
✓	0.9b	(/.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10))

Compiler

Compiled 110 to 65 computations (40.9% saved)

series52.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	im	@	-inf	(/.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10))
8.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 10) -8))
1.0ms	im	@	0	(/.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10))
1.0ms	im	@	inf	(/.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10))
1.0ms	re	@	inf	(/.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10))

rewrite647.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`rational_best-simplify-89`
810×	`rational_best-simplify-1`
762×	`rational_best-simplify-52`
570×	`rational_best-simplify-47`
540×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	132	99
2	345	95
3	1377	95
4	7817	95

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs

(/.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10))

(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 10) -8))

(+.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re))

Outputs

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simplify456.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational_best-simplify-64`
1006×	`rational_best-simplify-63`
706×	`rational_best-simplify-47`
626×	`rational_best-simplify-108`
590×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	10228
1	1079	8056
2	3683	7252

Stop Event

1×	node limit

Counts

268 → 243

Calls

Call 1

Inputs
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(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re))) (log.f64 10))
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(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
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(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
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Outputs
(/.f64 (+.f64 (*.f64 3/4 (atan2.f64 im re)) (atan2.f64 im re)) (log.f64 10))
(/.f64 (+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re))) (log.f64 10))
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(/.f64 (+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re))) (log.f64 10))
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(.f64 -8 (.f64 (log.f64 10) (/.f64 (.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10))) (.f64 (log.f64 10) -8))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10))) (+.f64 1 (/.f64 0 (log.f64 10))))
(.f64 1/8 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (log.f64 10))) (log.f64 10)))
(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 10) -32)) (.f64 (log.f64 10) -8)) (.f64 (.f64 (log.f64 10) -8) (.f64 (atan2.f64 im re) -4)))
(.f64 -8 (.f64 (log.f64 10) (/.f64 (.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10))) (.f64 (log.f64 10) -8))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10))) (+.f64 1 (/.f64 0 (log.f64 10))))
(.f64 1/8 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (log.f64 10))) (log.f64 10)))
(.f64 (/.f64 -1/8 (.f64 (log.f64 10) -8)) (.f64 (.f64 (log.f64 10) -8) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))))
(.f64 -8 (.f64 (log.f64 10) (/.f64 (.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10))) (.f64 (log.f64 10) -8))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10))) (+.f64 1 (/.f64 0 (log.f64 10))))
(.f64 1/8 (/.f64 (.f64 (log.f64 10) (/.f64 (atan2.f64 im re) (log.f64 10))) (log.f64 10)))
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10)))
(*.f64 1/8 (/.f64 (atan2.f64 im re) (log.f64 10)))
(neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -8)))
(*.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 10)))
(*.f64 1/8 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (atan2.f64 im re) (neg.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (neg.f64 (atan2.f64 im re)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (+.f64 (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (atan2.f64 im re)) (neg.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4))))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) 0)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 0 (-.f64 (neg.f64 (atan2.f64 im re)) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (.f64 (atan2.f64 im re) 2) (+.f64 (neg.f64 (.f64 (*.f64 (atan2.f64 im re) 3) 1/4)) (atan2.f64 im re)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (+.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) -3) 8)))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (+.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8)) (neg.f64 (atan2.f64 im re))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (+.f64 (/.f64 (.f64 (atan2.f64 im re) -3) 8) (neg.f64 (atan2.f64 im re))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (neg.f64 (+.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) 3) 8))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/2) (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (atan2.f64 im re)))
(-.f64 (atan2.f64 im re) (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (.f64 (.f64 (atan2.f64 im re) 3) 1/2)))
(-.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) -1/4))
(-.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) -3/4))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/2) (+.f64 (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (atan2.f64 im re)) 0))
(-.f64 (atan2.f64 im re) (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (.f64 (.f64 (atan2.f64 im re) 3) 1/2)))
(-.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) -1/4))
(-.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) -3/4))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 9) 8) (+.f64 (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (atan2.f64 im re)) (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 9) 8) (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (+.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) 3) 8))))
(-.f64 (atan2.f64 im re) (-.f64 (.f64 3/4 (atan2.f64 im re)) (-.f64 (/.f64 (.f64 (atan2.f64 im re) 9) 8) (/.f64 (*.f64 (atan2.f64 im re) 3) -8))))
(-.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) 18) (neg.f64 (.f64 (atan2.f64 im re) 6))) 16) (*.f64 (atan2.f64 im re) -1/4))
(-.f64 (/.f64 (atan2.f64 im re) 2) (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 2) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (/.f64 (atan2.f64 im re) 2) (-.f64 (neg.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) (/.f64 (atan2.f64 im re) 2)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (/.f64 (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) 2) (/.f64 (-.f64 (neg.f64 (atan2.f64 im re)) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) 2))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (+.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) 3) 8)) (/.f64 (.f64 (atan2.f64 im re) -3) 8))
(-.f64 (+.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) 3) 8)) (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 (.f64 (atan2.f64 im re) 3) 8)) (-.f64 (/.f64 (.f64 (atan2.f64 im re) -3) 8) (/.f64 (atan2.f64 im re) 2)))
(-.f64 (/.f64 (atan2.f64 im re) 2) (-.f64 (/.f64 (.f64 (atan2.f64 im re) -3) 8) (+.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (/.f64 (atan2.f64 im re) 2))))
(-.f64 (/.f64 (atan2.f64 im re) 2) (+.f64 (-.f64 (/.f64 (.f64 (atan2.f64 im re) -3) 8) (/.f64 (atan2.f64 im re) 2)) (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(-.f64 (/.f64 (atan2.f64 im re) 2) (-.f64 (/.f64 (.f64 (atan2.f64 im re) -3) 8) (/.f64 (.f64 (atan2.f64 im re) 7) 8)))
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) 2) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) (-.f64 0 (/.f64 (atan2.f64 im re) 2)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (atan2.f64 im re))) (neg.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (-.f64 (/.f64 (.f64 (atan2.f64 im re) 9) 8) (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (atan2.f64 im re))) (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 9) 8) (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (+.f64 (atan2.f64 im re) (/.f64 (.f64 (atan2.f64 im re) 3) 8))))
(-.f64 (atan2.f64 im re) (-.f64 (.f64 3/4 (atan2.f64 im re)) (-.f64 (/.f64 (.f64 (atan2.f64 im re) 9) 8) (/.f64 (*.f64 (atan2.f64 im re) 3) -8))))
(-.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) 18) (neg.f64 (.f64 (atan2.f64 im re) 6))) 16) (*.f64 (atan2.f64 im re) -1/4))
(-.f64 (-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (/.f64 (neg.f64 (atan2.f64 im re)) 2)) (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 2) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 2) (-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (/.f64 (neg.f64 (atan2.f64 im re)) 2))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (/.f64 (atan2.f64 im re) -2) (-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (/.f64 (atan2.f64 im re) -2))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 7) 8) (-.f64 0 (/.f64 (.f64 (atan2.f64 im re) 7) 8)))
(-.f64 (-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (/.f64 (atan2.f64 im re) -2)) (-.f64 (/.f64 (atan2.f64 im re) -2) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 2) (-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (/.f64 (neg.f64 (atan2.f64 im re)) 2))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (/.f64 (atan2.f64 im re) -2) (-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (/.f64 (atan2.f64 im re) -2))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 7) 8) (-.f64 0 (/.f64 (.f64 (atan2.f64 im re) 7) 8)))
(-.f64 (-.f64 (/.f64 (atan2.f64 im re) 2) (neg.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4))) (-.f64 0 (/.f64 (atan2.f64 im re) 2)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(-.f64 (-.f64 (.f64 (.f64 (atan2.f64 im re) 3) 1/4) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) (-.f64 (neg.f64 (atan2.f64 im re)) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(.f64 (+.f64 (atan2.f64 im re) (.f64 (*.f64 (atan2.f64 im re) 3) 1/4)) 1)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(.f64 1 (+.f64 (atan2.f64 im re) (.f64 (*.f64 (atan2.f64 im re) 3) 1/4)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(.f64 (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (.f64 (atan2.f64 im re) 3) 1/2)) 1/2)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(.f64 (.f64 4 (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) 1/4))) 1/4)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(.f64 1/2 (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (.f64 (atan2.f64 im re) 3) 1/2)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(.f64 1/4 (.f64 4 (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) 1/4))))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(/.f64 (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) 1)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(/.f64 (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (*.f64 (atan2.f64 im re) 3) 1/2)) 2)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(/.f64 (.f64 4 (+.f64 (atan2.f64 im re) (.f64 (*.f64 (atan2.f64 im re) 3) 1/4))) 4)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(/.f64 (.f64 2 (.f64 4 (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)))) 8)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(/.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 2) 2) (*.f64 (atan2.f64 im re) 3)) 4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(/.f64 (+.f64 (.f64 (atan2.f64 im re) 3) (.f64 (*.f64 (atan2.f64 im re) 2) 2)) 4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) -4)) 4)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 8) (-.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) 3) 8)))
(+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (.f64 -2 (/.f64 (.f64 (atan2.f64 im re) 3) -8)))
(/.f64 (*.f64 (atan2.f64 im re) 7) 4)
(pow.f64 (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)) 1)
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)
(neg.f64 (-.f64 (neg.f64 (atan2.f64 im re)) (.f64 (.f64 (atan2.f64 im re) 3) 1/4)))
(+.f64 (atan2.f64 im re) (*.f64 3/4 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 7/4)

eval3.1s (10.3%)

Compiler: Compiled 30167 to 22764 computations (24.5% saved)

prune1.6s (5.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1238	1	1239
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	1240	6	1246

Error

Counts

1246 → 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))))
▶	0.9b	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
▶	0.8b	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
✓	0.9b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
✓	0.9b	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))

Compiler

Compiled 94 to 76 computations (19.1% saved)

localize373.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
✓	1.0b	(/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))
✓	1.0b	(/.f64 -1/2 (log.f64 10))
	1.0b	(/.f64 -3/2 (log.f64 10))

Compiler

Compiled 78 to 59 computations (24.4% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
0.0ms	im	@	-inf	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
0.0ms	re	@	inf	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
0.0ms	im	@	inf	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
0.0ms	re	@	-inf	(-.f64 (.f64 (.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))

rewrite304.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`rational_best-simplify-55`
842×	`rational_best-simplify-53`
806×	`rational_best-simplify-49`
646×	`rational_best-simplify-50`
520×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	125	99
2	305	83
3	1136	49

Stop Event

1×	node limit

Counts

3 → 266

Calls

Call 1

Inputs

(/.f64 -1/2 (log.f64 10))

(/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))

(-.f64 (*.f64 (*.f64 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))

Outputs

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

simplify667.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational_best-simplify-108`
1042×	`rational_best-simplify-55`
918×	`rational_best-simplify-50`
866×	`rational_best-simplify-1`
854×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	11532
1	1888	5366

Stop Event

1×	node limit

Counts

290 → 293

Calls

Call 1

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

localize37.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (atan2.f64 im re) -12)
✓	0.2b	(-.f64 (/.f64 (atan2.f64 im re) -1/4) (*.f64 (atan2.f64 im re) -12))
✓	0.9b	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))

Compiler

Compiled 54 to 32 computations (40.7% saved)

series28.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	re	@	-inf	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
2.0ms	im	@	inf	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
2.0ms	re	@	inf	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
2.0ms	im	@	0	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
2.0ms	im	@	-inf	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))

rewrite395.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best-simplify-89`
748×	`rational_best-simplify-1`
720×	`rational_best-simplify-65`
698×	`rational_best-simplify-67`
598×	`rational_best-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	112	91
2	269	91
3	1055	59
4	6800	43

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
(-.f64 (/.f64 (atan2.f64 im re) -1/4) (*.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) -12)

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 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.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 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) (/.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) (/.f64 (*.f64 (*.f64 (atan2.f64 im re) 8) 3) (*.f64 (log.f64 10) 32)))))) (#(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 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (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) -4)) (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)) (neg.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)) (/.f64 (*.f64 (atan2.f64 im re) 10) (*.f64 (log.f64 10) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 10) -4)) (neg.f64 (*.f64 3/2 (/.f64 (atan2.f64 im re) (log.f64 10))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) -4) (neg.f64 (*.f64 (atan2.f64 im re) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (atan2.f64 im re) -12)) (*.f64 (atan2.f64 im re) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) -2) (*.f64 (atan2.f64 im re) 10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 3) (+.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 2) (+.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (*.f64 (*.f64 (atan2.f64 im re) 8) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 10) (*.f64 (atan2.f64 im re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) -12)) 2) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (atan2.f64 im re) -4) (/.f64 (*.f64 (atan2.f64 im re) -12) 2)) (neg.f64 (/.f64 (*.f64 (atan2.f64 im re) -12) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (atan2.f64 im re) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (atan2.f64 im re) -16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (atan2.f64 im re) 8) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (atan2.f64 im re) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (atan2.f64 im re) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (*.f64 (atan2.f64 im re) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (atan2.f64 im re) -16) (+.f64 (*.f64 (atan2.f64 im re) -24) (*.f64 (atan2.f64 im re) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (atan2.f64 im re) -16) (+.f64 (*.f64 (atan2.f64 im re) -8) (*.f64 (atan2.f64 im re) -24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (atan2.f64 im re) 8) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) -16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 im re) 8) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (atan2.f64 im re) 8) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 im re) -8))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) -12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -12) 2) (/.f64 (*.f64 (atan2.f64 im re) -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) -12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (atan2.f64 im re) -12)))))) (#(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 (*.f64 (atan2.f64 im re) -12) 2) (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) -12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -24) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 im re) 2) -24) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (atan2.f64 im re) 2) -24) (*.f64 (*.f64 (atan2.f64 im re) 2) -24)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) -12)))))))

simplify496.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational_best-simplify-65`
1146×	`rational_best-simplify-1`
920×	`rational_best-simplify-54`
622×	`rational_best-simplify-63`
620×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	9030
1	751	5156
2	2595	4890

Stop Event

1×	node limit

Counts

230 → 211

Calls

Call 1

Inputs
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(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 -12 (atan2.f64 im re))) (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 -12 (atan2.f64 im re))) (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 -12 (atan2.f64 im re))) (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 -12 (atan2.f64 im re))) (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 -12 (atan2.f64 im re))) (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 -12 (atan2.f64 im re))) (log.f64 10)))
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(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 -12 (atan2.f64 im re))) (log.f64 10)))
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Outputs
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(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (/.f64 1 (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1/32 (/.f64 (.f64 (*.f64 (atan2.f64 im re) 8) 4) (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (/.f64 1 (/.f64 1/8 (log.f64 10))) (.f64 (log.f64 10) 8)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (/.f64 1 (/.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) 8) (log.f64 10)) 1/8)
(*.f64 (/.f64 1 (/.f64 1/4 (log.f64 10))) (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4) (log.f64 10)))
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(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 1 (/.f64 1 (/.f64 (log.f64 10) (log.f64 10)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) 8) (log.f64 10)) 1/8)
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(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) -2))
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(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) 8) (neg.f64 (.f64 (atan2.f64 im re) -16))) (/.f64 (/.f64 1/16 (log.f64 10)) (*.f64 (log.f64 10) 8)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (*.f64 (log.f64 10) 8) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 1/8 (log.f64 10)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (.f64 (log.f64 10) 8) (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 10))) (/.f64 1/8 (*.f64 (log.f64 10) 8)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 10) 8)) (/.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) 8)))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (*.f64 (log.f64 10) 8) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2))) (/.f64 1/16 (log.f64 10)))
(.f64 1/16 (/.f64 (.f64 (atan2.f64 im re) (/.f64 (*.f64 (log.f64 10) 8) (/.f64 (log.f64 10) 2))) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 10) 2)) (/.f64 1/2 (/.f64 (log.f64 10) (log.f64 10))))
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(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 1/8 (log.f64 10)) (.f64 (log.f64 10) 8)) (.f64 (.f64 (atan2.f64 im re) 8) (*.f64 (log.f64 10) 8)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 1/16 (log.f64 10)) (.f64 (log.f64 10) 8)) (.f64 (.f64 (log.f64 10) 8) (neg.f64 (*.f64 (atan2.f64 im re) -16))))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 1 (log.f64 10)) (.f64 (log.f64 10) 8)) (.f64 (atan2.f64 im re) (.f64 (log.f64 10) 8)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/16 (.f64 (log.f64 10) 8)) (.f64 (.f64 (log.f64 10) 8) (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) -16)) (log.f64 10))))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 10) 32)) (.f64 (log.f64 10) 8)) (.f64 (.f64 (log.f64 10) 8) (.f64 (*.f64 (atan2.f64 im re) 8) 4)))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (/.f64 1/8 (.f64 (log.f64 10) 8)) (.f64 (.f64 (log.f64 10) 8) (/.f64 (*.f64 (atan2.f64 im re) 8) (log.f64 10))))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 10))))
(.f64 1/8 (/.f64 (-.f64 (.f64 -4 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -12)) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (.f64 (atan2.f64 im re) -4) (neg.f64 (.f64 (atan2.f64 im re) -12)))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (*.f64 (atan2.f64 im re) 8) 0)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 0 (*.f64 (atan2.f64 im re) 8))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (neg.f64 (.f64 (atan2.f64 im re) -12)) (.f64 (atan2.f64 im re) -4))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (.f64 (atan2.f64 im re) -2) (.f64 (atan2.f64 im re) 10))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 4))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (.f64 (atan2.f64 im re) 3) (+.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) 4)))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (.f64 (atan2.f64 im re) 2) (+.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) 4)))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (.f64 (*.f64 (atan2.f64 im re) 8) 3) 4))
(+.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (.f64 (atan2.f64 im re) 24) 4))
(+.f64 (/.f64 (.f64 (atan2.f64 im re) 24) 4) (.f64 (atan2.f64 im re) 2))
(+.f64 (.f64 (atan2.f64 im re) 10) (.f64 (atan2.f64 im re) -2))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (/.f64 (neg.f64 (.f64 (atan2.f64 im re) -12)) 2) (.f64 (atan2.f64 im re) 2))
(+.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (neg.f64 (.f64 (atan2.f64 im re) -12)) 2))
(+.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (.f64 (atan2.f64 im re) -12) -2))
(-.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (.f64 (atan2.f64 im re) -12) 2))
(+.f64 (-.f64 (.f64 (atan2.f64 im re) -4) (/.f64 (.f64 (atan2.f64 im re) -12) 2)) (neg.f64 (/.f64 (*.f64 (atan2.f64 im re) -12) 2)))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(*.f64 (atan2.f64 im re) 8)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(.f64 (.f64 (atan2.f64 im re) 8) 1)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 1 (.f64 (atan2.f64 im re) 8))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 (neg.f64 (.f64 (atan2.f64 im re) -16)) 1/2)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 (.f64 (atan2.f64 im re) -8) -1)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 2 (.f64 (atan2.f64 im re) 4))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 (.f64 (*.f64 (atan2.f64 im re) 8) 4) 1/4)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 (.f64 (atan2.f64 im re) 4) 2)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 -1 (.f64 (atan2.f64 im re) -8))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 -2 (.f64 (atan2.f64 im re) -4))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 -2 (-.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 8)))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 1/2 (neg.f64 (.f64 (atan2.f64 im re) -16)))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 1/2 (-.f64 (.f64 (atan2.f64 im re) -16) (+.f64 (.f64 (atan2.f64 im re) -24) (.f64 (atan2.f64 im re) -8))))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 1/2 (-.f64 (.f64 (atan2.f64 im re) -16) (+.f64 (.f64 (atan2.f64 im re) -8) (.f64 (atan2.f64 im re) -24))))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 (.f64 (atan2.f64 im re) 2) 4)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(.f64 1/4 (.f64 (*.f64 (atan2.f64 im re) 8) 4))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(/.f64 (*.f64 (atan2.f64 im re) 8) 1)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) -16)) 2)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(/.f64 (*.f64 (atan2.f64 im re) -8) -1)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(/.f64 (.f64 (.f64 (atan2.f64 im re) 8) 4) 4)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (atan2.f64 im re) 8) 4)) 8)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(pow.f64 (*.f64 (atan2.f64 im re) 8) 1)
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(neg.f64 (*.f64 (atan2.f64 im re) -8))
(-.f64 (.f64 -4 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) 8)
(+.f64 (*.f64 (atan2.f64 im re) -12) 0)
(*.f64 (atan2.f64 im re) -12)
(+.f64 0 (*.f64 (atan2.f64 im re) -12))
(*.f64 (atan2.f64 im re) -12)
(+.f64 (/.f64 (.f64 (atan2.f64 im re) -12) 2) (/.f64 (.f64 (atan2.f64 im re) -12) 2))
(*.f64 (atan2.f64 im re) -12)
(-.f64 (*.f64 (atan2.f64 im re) -12) 0)
(*.f64 (atan2.f64 im re) -12)
(-.f64 0 (neg.f64 (*.f64 (atan2.f64 im re) -12)))
(*.f64 (atan2.f64 im re) -12)
(-.f64 (.f64 (atan2.f64 im re) -8) (.f64 (atan2.f64 im re) 4))
(*.f64 (atan2.f64 im re) -12)
(-.f64 (/.f64 (.f64 (atan2.f64 im re) -12) 2) (/.f64 (neg.f64 (.f64 (atan2.f64 im re) -12)) 2))
(*.f64 (atan2.f64 im re) -12)
(/.f64 (*.f64 (atan2.f64 im re) -12) 1)
(*.f64 (atan2.f64 im re) -12)
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) -12)) -1)
(*.f64 (atan2.f64 im re) -12)
(/.f64 (*.f64 (atan2.f64 im re) -24) 2)
(*.f64 (atan2.f64 im re) -12)
(/.f64 (.f64 (.f64 (atan2.f64 im re) 2) -24) 4)
(*.f64 (atan2.f64 im re) -12)
(/.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 2) -24) (.f64 (.f64 (atan2.f64 im re) 2) -24)) 8)
(*.f64 (atan2.f64 im re) -12)
(pow.f64 (*.f64 (atan2.f64 im re) -12) 1)
(*.f64 (atan2.f64 im re) -12)
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) -12)))
(*.f64 (atan2.f64 im re) -12)

eval1.1s (3.6%)

Compiler: Compiled 10229 to 7750 computations (24.2% saved)

prune360.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	522	2	524
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	524	6	530

Error

Counts

530 → 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))))
✓	0.9b	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
	0.9b	(-.f64 (/.f64 (.f64 (atan2.f64 im re) 10) (.f64 (log.f64 10) 8)) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))
	0.8b	(*.f64 (atan2.f64 im re) (-.f64 (/.f64 -1/2 (log.f64 10)) (/.f64 -3/2 (log.f64 10))))
✓	0.9b	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))

Compiler

Compiled 92 to 74 computations (19.6% saved)

regimes132.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (-.f64 (/.f64 -1/2 (log.f64 10)) (/.f64 -3/2 (log.f64 10))))
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))
(/.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) (log.f64 10)) (/.f64 (log.f64 10) 2)) (/.f64 (log.f64 10) 2))
(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
(-.f64 (/.f64 (/.f64 (atan2.f64 im re) -2) (log.f64 10)) (/.f64 (*.f64 -3/2 (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 (/.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) 10) (.f64 (log.f64 10) 8)) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 4))
(+.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 10) -8)) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 4) (atan2.f64 im re)) (log.f64 10)) 2))
(.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 (log.f64 10) (atan2.f64 im re)) (/.f64 (/.f64 -1/2 (log.f64 10)) (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 -3/2 (log.f64 10))))
(-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) -2)) (-.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 2 (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) (.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))))

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

Calls

4 calls:

35.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
35.0ms	re
28.0ms	(atan2.f64 im re)
21.0ms	im

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 366 to 259 computations (29.2% saved)

regimes92.0ms (0.3%)

Accuracy

Total -0.2b remaining (-20.8%)

Threshold costs -0.2b (-20.8%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (-.f64 (/.f64 -1/2 (log.f64 10)) (/.f64 -3/2 (log.f64 10))))
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) -1/4) (.f64 (atan2.f64 im re) -12)) (.f64 (log.f64 10) 8))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)) (log.f64 10))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 10)) (log.f64 10))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 10) (log.f64 10))) (log.f64 10))

Outputs
(*.f64 (atan2.f64 im re) (-.f64 (/.f64 -1/2 (log.f64 10)) (/.f64 -3/2 (log.f64 10))))

Calls

4 calls:

34.0ms	im
22.0ms	re
5.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
5.0ms	(atan2.f64 im re)

Results

Error	Segments	Branch
0.8b	1	`re`
0.8b	1	`im`
0.8b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.8b	1	`(atan2.f64 im re)`

Compiler

Compiled 91 to 65 computations (28.6% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99

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) (-.f64 (/.f64 -1/2 (log.f64 10)) (/.f64 -3/2 (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) (-.f64 (/.f64 -1/2 (log.f64 10)) (/.f64 -3/2 (log.f64 10))))

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

Compiler

Compiled 39 to 33 computations (15.4% saved)

soundness284.0ms (0.9%)

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)

end98.0ms (0.3%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

Details

analyze1.0ms (0%)

sample4.1s (13.5%)

preprocess902.0ms (3%)

simplify682.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.1%)

series285.0ms (0.9%)

rewrite248.0ms (0.8%)

simplify310.0ms (1%)

eval345.0ms (1.1%)

prune99.0ms (0.3%)

localize220.0ms (0.7%)

series26.0ms (0.1%)

rewrite542.0ms (1.8%)

simplify881.0ms (2.9%)

localize53.0ms (0.2%)

series1.0ms (0%)

rewrite366.0ms (1.2%)

simplify310.0ms (1%)

localize126.0ms (0.4%)

series32.0ms (0.1%)

rewrite338.0ms (1.1%)

simplify600.0ms (2%)

localize159.0ms (0.5%)

series9.0ms (0%)

rewrite410.0ms (1.3%)

simplify557.0ms (1.8%)

localize207.0ms (0.7%)

series21.0ms (0.1%)

rewrite392.0ms (1.3%)

simplify318.0ms (1%)

eval3.0s (9.9%)

prune1.7s (5.7%)

localize67.0ms (0.2%)

localize116.0ms (0.4%)

series1.0ms (0%)

rewrite338.0ms (1.1%)

simplify366.0ms (1.2%)

localize57.0ms (0.2%)

series1.0ms (0%)

rewrite447.0ms (1.5%)

simplify373.0ms (1.2%)

localize80.0ms (0.3%)

series22.0ms (0.1%)

rewrite349.0ms (1.1%)

simplify538.0ms (1.8%)

localize147.0ms (0.5%)

series52.0ms (0.2%)

rewrite647.0ms (2.1%)

simplify456.0ms (1.5%)

eval3.1s (10.3%)

prune1.6s (5.1%)

localize373.0ms (1.2%)

series2.0ms (0%)

rewrite304.0ms (1%)

simplify667.0ms (2.2%)

localize37.0ms (0.1%)

series28.0ms (0.1%)

rewrite395.0ms (1.3%)

simplify496.0ms (1.6%)

eval1.1s (3.6%)

prune360.0ms (1.2%)

regimes132.0ms (0.4%)

regimes92.0ms (0.3%)

simplify12.0ms (0%)

soundness284.0ms (0.9%)

end98.0ms (0.3%)

Profiling